source: Sophya/trunk/SophyaExt/XephemAstroLib/vsop87_data.c@ 1670

Last change on this file since 1670 was 1457, checked in by cmv, 25 years ago

import de la partie libastro de Xephem cmv+rz 10/4/2001
File size: 187.7 KB
RevLine 
[1457]1/* data tables for planetary solution VSOP87
2 *
3 * created by automatic conversion from original distribution files at
4 * ftp://ftp.bdl.fr/pub/ephem/planets/vsop87/
5 *
6 * Each coordinate is calculated as:
7 *
8 * x = Sum{ T^alpha * A * cos( B + C*T ) }
9 *
10 * x is the coordinate in rad or a.u.
11 * T is the VSOP time in Julian Millenia(!) since J2000.0
12 * Note: the time argument in VSOP87 theory is equal to TAI + 32.184 s
13 *
14 * A (scaled by VSOP_ASCALE), B, C given below for each x and alpha
15 * run-of-the mill for each planet in one array vx_planet[][3].
16 * The block-boundary indices for each spatial dimension are then listed
17 * in a separate array vn_planet[][3].
18 *
19 * Truncation errors given in comments are from the authors' empirical
20 * formula: 2*sqrt(number of retained terms)*A[last retained]
21 */
22
23/* version d4 (lbr)
24 * heliocentric dynamical ecliptic and equinox of the date
25 */
26
27double vx_earth[][3] = {
28 /* earth l, T^0 */
29 { 175347045.7, 0, 0 },
30 { 3341656.5, 4.66925680, 6283.07584999 },
31 { 34894.3, 4.626102, 12566.151700 },
32 { 3417.6, 2.82887, 3.52312 },
33 { 3497.1, 2.74412, 5753.38488 },
34 { 3135.9, 3.62767, 77713.77147 },
35 { 2676.2, 4.41808, 7860.41939 },
36 { 2342.7, 6.13516, 3930.20970 },
37 { 1273.2, 2.03710, 529.69097 },
38 { 1324.3, 0.74246, 11506.76977 },
39 { 901.9, 2.0451, 26.2983 },
40 { 1199.2, 1.10963, 1577.34354 },
41 { 857.2, 3.5085, 398.1490 },
42 { 779.8, 1.1788, 5223.6939 },
43 { 990.2, 5.2327, 5884.9268 },
44 { 753.1, 2.5334, 5507.5532 },
45 { 505.3, 4.5829, 18849.2275 },
46 { 492.4, 4.2051, 775.5226 },
47 { 356.7, 2.9195, 0.0673 },
48 { 284.1, 1.8987, 796.2980 },
49 { 242.8, 0.3448, 5486.7778 },
50 { 317.1, 5.8490, 11790.6291 },
51 { 271.0, 0.3149, 10977.0788 },
52 { 206.2, 4.8065, 2544.3144 },
53 { 205.4, 1.8695, 5573.1428 },
54 { 202.3, 2.4577, 6069.7768 },
55 { 126.2, 1.0830, 20.7754 },
56 { 155.5, 0.8331, 213.2991 },
57 { 115.1, 0.6454, 0.9803 },
58 { 102.9, 0.6360, 4694.0030 },
59 { 101.7, 4.2668, 7.1135 },
60 { 99.2, 6.210, 2146.165 },
61 { 132.2, 3.4112, 2942.4634 },
62 { 97.6, 0.681, 155.420 },
63 { 85.1, 1.299, 6275.962 },
64 { 74.7, 1.755, 5088.629 },
65 { 101.9, 0.9757, 15720.8388 },
66 { 84.7, 3.671, 71430.696 },
67 { 73.5, 4.679, 801.821 },
68 { 73.9, 3.503, 3154.687 },
69 { 78.8, 3.037, 12036.461 },
70 { 79.6, 1.808, 17260.155 },
71 { 85.8, 5.983, 161000.686 },
72 { 57.0, 2.784, 6286.599 },
73 { 61.1, 1.818, 7084.897 },
74 { 69.6, 0.833, 9437.763 },
75 { 56.1, 4.387, 14143.495 },
76 { 62.4, 3.978, 8827.390 },
77 { 51.1, 0.283, 5856.478 },
78 { 55.6, 3.470, 6279.553 },
79 { 41.0, 5.368, 8429.241 },
80 { 51.6, 1.333, 1748.016 },
81 { 52.0, 0.189, 12139.554 },
82 { 49.0, 0.487, 1194.447 },
83 { 39.2, 6.168, 10447.388 },
84 { 35.6, 1.776, 6812.767 },
85 { 36.8, 6.041, 10213.286 },
86 { 36.6, 2.570, 1059.382 },
87 { 33.3, 0.593, 17789.846 },
88 { 36.0, 1.709, 2352.866 },
89 { 40.9, 2.399, 19651.048 },
90 { 30.0, 2.740, 1349.867 },
91 { 30.4, 0.443, 83996.847 },
92 { 23.7, 0.485, 8031.092 },
93 { 23.6, 2.065, 3340.612 },
94 { 21.1, 4.148, 951.718 },
95 { 24.7, 0.215, 3.590 },
96 { 25.4, 3.165, 4690.480 },
97 { 22.8, 5.222, 4705.732 },
98 { 21.4, 1.426, 16730.464 },
99 { 21.9, 5.556, 553.569 },
100 { 17.5, 4.561, 135.065 },
101 { 19.9, 5.222, 12168.003 },
102 { 19.9, 5.775, 6309.374 },
103 { 20.3, 0.371, 283.859 },
104 { 14.4, 4.193, 242.729 },
105 { 16.2, 5.988, 11769.854 },
106 { 15.1, 4.196, 6256.778 },
107 { 19.1, 3.822, 23581.258 },
108 { 18.9, 5.386, 149854.400 },
109 { 14.3, 3.724, 38.028 },
110 { 17.9, 2.215, 13367.973 },
111 { 12.1, 2.622, 955.600 },
112 { 11.3, 0.177, 4164.312 },
113 { 14.0, 4.401, 6681.225 },
114 { 13.6, 1.889, 7632.943 },
115 { 12.5, 1.131, 5.523 },
116 { 10.5, 5.359, 1592.596 },
117 { 9.8, 1.00, 11371.70 },
118 { 9.2, 4.57, 4292.33 },
119 { 10.3, 6.200, 6438.496 },
120 { 12.0, 1.004, 632.784 },
121 { 10.8, 0.327, 103.093 },
122 { 8.4, 4.54, 25132.30 },
123 { 10.0, 6.029, 5746.271 },
124 { 8.4, 3.30, 7234.79 },
125 { 8.0, 5.82, 28.45 },
126 { 10.5, 0.939, 11926.254 },
127 { 7.7, 3.12, 7238.68 },
128 { 9.4, 2.62, 5760.50 },
129 { 8.1, 6.11, 4732.03 },
130 { 9.2, 0.48, 522.58 },
131 { 9.8, 5.24, 27511.47 },
132 { 7.9, 1.00, 5643.18 },
133 { 8.1, 6.27, 426.60 },
134 { 9.0, 5.34, 6386.17 },
135 { 8.6, 4.17, 7058.60 },
136 { 6.3, 4.72, 6836.65 },
137 { 7.6, 3.97, 11499.66 },
138 { 7.8, 2.96, 23013.54 },
139 { 7.3, 0.61, 11513.88 },
140 { 6.5, 5.79, 18073.70 },
141 { 7.2, 4.00, 74.78 },
142 { 7.3, 4.39, 316.39 },
143 { 7.1, 0.32, 263.08 },
144 { 6.6, 3.66, 17298.18 },
145 { 6.8, 5.91, 90955.55 },
146 /* 117 terms retained, 442 terms dropped, error 0.3" */
147
148 /* earth l, T^1 */
149 { 628331966747.5, 0, 0 },
150 { 206058.9, 2.6782346, 6283.0758500 },
151 { 4303.4, 2.63513, 12566.15170 },
152 { 425.3, 1.5905, 3.5231 },
153 { 109.0, 2.9662, 1577.3435 },
154 { 93.5, 2.592, 18849.228 },
155 { 119.3, 5.7956, 26.2983 },
156 { 72.1, 1.138, 529.691 },
157 { 67.8, 1.875, 398.149 },
158 { 67.3, 4.409, 5507.553 },
159 { 59.0, 2.888, 5223.694 },
160 { 56.0, 2.175, 155.420 },
161 { 45.4, 0.398, 796.298 },
162 { 36.4, 0.466, 775.523 },
163 { 29.0, 2.647, 7.114 },
164 { 19.1, 1.846, 5486.778 },
165 { 20.8, 5.341, 0.980 },
166 { 18.5, 4.969, 213.299 },
167 { 16.2, 0.032, 2544.314 },
168 { 17.3, 2.991, 6275.962 },
169 { 15.8, 1.430, 2146.165 },
170 { 14.6, 1.205, 10977.079 },
171 { 11.9, 3.258, 5088.629 },
172 { 11.5, 2.075, 4694.003 },
173 { 9.7, 4.24, 1349.87 },
174 { 10.0, 1.303, 6286.599 },
175 { 9.5, 2.70, 242.73 },
176 { 12.5, 2.834, 1748.016 },
177 { 11.8, 5.274, 1194.447 },
178 { 8.6, 5.64, 951.72 },
179 { 10.6, 0.766, 553.569 },
180 { 7.6, 5.30, 2352.87 },
181 { 5.8, 1.77, 1059.38 },
182 { 6.4, 2.65, 9437.76 },
183 { 5.2, 5.66, 71430.70 },
184 { 5.3, 0.91, 3154.69 },
185 { 6.1, 4.67, 4690.48 },
186 { 4.3, 0.24, 6812.77 },
187 { 5.0, 1.42, 6438.50 },
188 { 4.3, 0.77, 10447.39 },
189 { 5.2, 1.85, 801.82 },
190 { 3.7, 2.00, 8031.09 },
191 { 3.6, 2.43, 14143.50 },
192 { 3.4, 3.86, 1592.60 },
193 { 3.4, 0.89, 12036.46 },
194 { 3.2, 3.19, 4705.73 },
195 { 3.2, 0.62, 8429.24 },
196 { 4.1, 5.24, 7084.90 },
197 { 3.0, 6.07, 4292.33 },
198 { 2.9, 2.32, 20.36 },
199 { 3.5, 4.80, 6279.55 },
200 { 2.9, 1.43, 5746.27 },
201 { 2.7, 4.80, 7234.79 },
202 { 2.5, 6.22, 6836.65 },
203 { 2.7, 0.93, 5760.50 },
204 { 3.2, 3.40, 7632.94 },
205 { 2.3, 5.00, 17789.85 },
206 { 2.1, 3.96, 10213.29 },
207 { 2.1, 2.22, 5856.48 },
208 { 2.3, 5.67, 11499.66 },
209 { 2.1, 5.20, 11513.88 },
210 { 1.9, 0.53, 3340.61 },
211 { 1.9, 4.74, 83996.85 },
212 { 2.1, 2.55, 25132.30 },
213 { 1.8, 1.47, 4164.31 },
214 { 1.8, 3.02, 5.52 },
215 { 2.0, 0.91, 6256.78 },
216 { 2.1, 2.27, 522.58 },
217 { 1.8, 3.03, 5753.38 },
218 { 1.6, 6.12, 5216.58 },
219 { 1.6, 4.64, 3.29 },
220 /* 71 terms retained, 270 terms dropped, error 0.056"*T */
221
222 /* earth l, T^2 */
223 { 52918.9, 0, 0 },
224 { 8719.8, 1.07210, 6283.07585 },
225 { 309.1, 0.8673, 12566.1517 },
226 { 27.3, 0.053, 3.523 },
227 { 16.3, 5.188, 26.298 },
228 { 15.8, 3.685, 155.420 },
229 { 9.5, 0.76, 18849.23 },
230 { 8.9, 2.06, 77713.77 },
231 { 7.0, 0.83, 775.52 },
232 { 5.1, 4.66, 1577.34 },
233 { 4.1, 1.03, 7.11 },
234 { 3.5, 5.14, 796.30 },
235 { 3.2, 6.05, 5507.55 },
236 { 3.0, 1.19, 242.73 },
237 { 2.9, 6.12, 529.69 },
238 { 3.8, 3.44, 5573.14 },
239 { 2.7, 0.31, 398.15 },
240 { 2.4, 4.38, 5223.69 },
241 { 2.5, 2.28, 553.57 },
242 { 2.1, 3.75, 0.98 },
243 { 1.7, 0.90, 951.72 },
244 { 1.5, 5.76, 1349.87 },
245 { 1.2, 2.97, 2146.17 },
246 { 1.4, 4.36, 1748.02 },
247 { 1.3, 3.72, 1194.45 },
248 { 1.3, 2.95, 6438.50 },
249 { 1.0, 5.99, 6286.60 },
250 { 0.9, 4.80, 5088.63 },
251 { 0.8, 3.31, 213.30 },
252 { 1.1, 1.27, 161000.69 },
253 { 0.8, 3.42, 5486.78 },
254 { 1.0, 0.60, 3154.69 },
255 { 0.9, 5.23, 7084.90 },
256 { 0.6, 1.60, 2544.31 },
257 { 0.7, 3.43, 4694.00 },
258 { 0.6, 2.48, 10977.08 },
259 { 0.7, 6.19, 4690.48 },
260 { 0.6, 1.98, 801.82 },
261 { 0.5, 1.44, 6836.65 },
262 { 0.5, 2.34, 1592.60 },
263 { 0.5, 1.31, 4292.33 },
264 { 0.4, 0.04, 7234.79 },
265 { 0.5, 3.81, 149854.40 },
266 { 0.4, 4.94, 7632.94 },
267 /* 44 terms retained, 98 terms dropped, error 0.011"*T^2 */
268
269 /* earth l, T^3 */
270 { 289.2, 5.8438, 6283.0758 },
271 { 35.0, 0, 0 },
272 { 16.8, 5.488, 12566.152 },
273 { 3.0, 5.20, 155.42 },
274 { 1.3, 4.72, 3.52 },
275 { 0.6, 5.97, 242.73 },
276 { 0.7, 5.30, 18849.23 },
277 { 0.4, 3.79, 553.57 },
278 /* 8 terms retained, 14 terms dropped, error 0.005"*T^3 */
279
280 /* earth l, T^4 */
281 { 114.1, 3.1416, 0 },
282 { 7.7, 4.13, 6283.08 },
283 { 0.8, 3.84, 12566.15 },
284 { 0.4, 0.42, 155.42 },
285 /* 4 terms retained, 7 terms dropped, error 0.00032"*T^4 */
286
287 /* earth l, T^5 */
288 { 0.9, 3.14, 0 },
289 { 0.2, 2.77, 6283.08 },
290 { 0.1, 2.01, 155.42 },
291 /* 3 terms retained, 2 terms dropped, error 0.00023"*T^5 */
292 /* end earth l */
293
294 /* earth b, T^0 */
295 { 279.6, 3.1987, 84334.6616 },
296 { 101.6, 5.4225, 5507.5532 },
297 { 80.4, 3.880, 5223.694 },
298 { 43.8, 3.704, 2352.866 },
299 { 31.9, 4.000, 1577.344 },
300 { 22.7, 3.985, 1047.747 },
301 { 16.4, 3.565, 5856.478 },
302 { 18.1, 4.984, 6283.076 },
303 { 14.4, 3.703, 9437.763 },
304 { 14.3, 3.411, 10213.286 },
305 { 11.2, 4.828, 14143.495 },
306 { 10.9, 2.086, 6812.767 },
307 { 9.7, 3.47, 4694.00 },
308 { 10.4, 4.057, 71092.881 },
309 { 8.8, 4.44, 5753.38 },
310 { 8.4, 4.99, 7084.90 },
311 { 6.9, 4.33, 6275.96 },
312 { 9.1, 1.14, 6620.89 },
313 { 7.2, 3.60, 529.69 },
314 { 7.7, 5.55, 167621.58 },
315 /* 20 terms retained, 164 terms dropped, error 0.15" */
316
317 /* earth b, T^1 */
318 { 9.0, 3.90, 5507.55 },
319 { 6.2, 1.73, 5223.69 },
320 { 3.8, 5.24, 2352.87 },
321 { 2.8, 2.47, 1577.34 },
322 { 1.8, 0.42, 6283.08 },
323 /* 5 terms retained, 94 terms dropped, error 0.018"*T */
324
325 /* earth b, T^2 */
326 { 1.7, 1.63, 84334.66 },
327 { 0.5, 2.41, 1047.75 },
328 /* 2 terms retained, 47 terms dropped, error 0.0035"*T^2 */
329
330 /* earth b, T^3 */
331 /* 0 terms retained, 11 terms dropped, error 4.5e-05"*T^3 */
332
333 /* earth b, T^4 */
334 /* 0 terms retained, 5 terms dropped, error 1.7e-05"*T^4 */
335 /* end earth b */
336
337 /* earth r, T^0 */
338 { 100013988.8, 0, 0 },
339 { 1670699.6, 3.09846351, 6283.07584999 },
340 { 13956.0, 3.055246, 12566.151700 },
341 { 3083.7, 5.19847, 77713.77147 },
342 { 1628.5, 1.17388, 5753.38488 },
343 { 1575.6, 2.84685, 7860.41939 },
344 { 924.8, 5.4529, 11506.7698 },
345 { 542.4, 4.5641, 3930.2097 },
346 { 472.1, 3.6610, 5884.9268 },
347 { 328.8, 5.8998, 5223.6939 },
348 { 346.0, 0.9637, 5507.5532 },
349 { 306.8, 0.2987, 5573.1428 },
350 { 174.8, 3.0119, 18849.2275 },
351 { 243.2, 4.2735, 11790.6291 },
352 { 211.8, 5.8471, 1577.3435 },
353 { 185.8, 5.0219, 10977.0788 },
354 { 109.8, 5.0551, 5486.7778 },
355 { 98.3, 0.887, 6069.777 },
356 { 86.5, 5.690, 15720.839 },
357 { 85.8, 1.271, 161000.686 },
358 { 62.9, 0.922, 529.691 },
359 { 57.1, 2.014, 83996.847 },
360 { 64.9, 0.273, 17260.155 },
361 { 49.4, 3.245, 2544.314 },
362 { 55.7, 5.242, 71430.696 },
363 { 42.5, 6.011, 6275.962 },
364 { 47.0, 2.578, 775.523 },
365 { 39.0, 5.361, 4694.003 },
366 { 44.7, 5.537, 9437.763 },
367 { 35.7, 1.675, 12036.461 },
368 { 31.9, 0.184, 5088.629 },
369 { 31.8, 1.778, 398.149 },
370 { 33.2, 0.244, 7084.897 },
371 { 38.2, 2.393, 8827.390 },
372 { 28.5, 1.213, 6286.599 },
373 { 37.5, 0.830, 19651.048 },
374 { 37.0, 4.901, 12139.554 },
375 { 34.5, 1.843, 2942.463 },
376 { 26.3, 4.589, 10447.388 },
377 { 24.6, 3.787, 8429.241 },
378 { 23.6, 0.269, 796.298 },
379 { 27.8, 1.899, 6279.553 },
380 { 23.9, 4.996, 5856.478 },
381 { 20.3, 4.653, 2146.165 },
382 { 23.3, 2.808, 14143.495 },
383 { 22.1, 1.950, 3154.687 },
384 { 19.5, 5.382, 2352.866 },
385 { 18.0, 0.199, 6812.767 },
386 { 17.2, 4.433, 10213.286 },
387 { 16.2, 5.232, 17789.846 },
388 { 17.3, 6.152, 16730.464 },
389 { 13.8, 5.190, 8031.092 },
390 { 18.8, 0.673, 149854.400 },
391 { 18.3, 2.253, 23581.258 },
392 { 13.6, 3.685, 4705.732 },
393 { 13.1, 0.653, 13367.973 },
394 { 10.4, 4.333, 11769.854 },
395 { 10.0, 4.201, 6309.374 },
396 { 10.2, 1.594, 4690.480 },
397 { 7.6, 2.63, 6256.78 },
398 { 9.7, 3.68, 27511.47 },
399 { 6.7, 0.56, 3340.61 },
400 { 8.7, 6.06, 1748.02 },
401 { 7.8, 3.67, 12168.00 },
402 { 6.6, 5.66, 11371.70 },
403 { 7.7, 0.31, 7632.94 },
404 { 6.6, 3.14, 801.82 },
405 { 7.5, 5.65, 11926.25 },
406 { 6.9, 2.92, 6681.22 },
407 { 6.8, 1.42, 23013.54 },
408 { 6.5, 2.65, 19804.83 },
409 /* 71 terms retained, 455 terms dropped, error 1.1e-06 a.u. */
410
411 /* earth r, T^1 */
412 { 103018.6, 1.1074897, 6283.0758500 },
413 { 1721.2, 1.06442, 12566.15170 },
414 { 702.2, 3.1416, 0 },
415 { 32.3, 1.022, 18849.228 },
416 { 30.8, 2.844, 5507.553 },
417 { 25.0, 1.319, 5223.694 },
418 { 18.5, 1.424, 1577.344 },
419 { 10.1, 5.914, 10977.079 },
420 { 8.6, 0.27, 5486.78 },
421 { 8.7, 1.42, 6275.96 },
422 { 5.1, 1.69, 5088.63 },
423 { 5.0, 6.01, 6286.60 },
424 { 4.7, 5.99, 529.69 },
425 { 4.4, 0.52, 4694.00 },
426 { 3.9, 4.75, 2544.31 },
427 { 3.8, 5.07, 796.30 },
428 { 4.1, 1.08, 9437.76 },
429 { 3.5, 0.02, 83996.85 },
430 { 3.4, 0.95, 71430.70 },
431 { 3.2, 6.16, 2146.17 },
432 { 3.4, 5.41, 775.52 },
433 { 2.9, 5.48, 10447.39 },
434 { 2.5, 0.24, 398.15 },
435 { 2.2, 4.95, 6812.77 },
436 { 2.2, 0.42, 8031.09 },
437 { 2.8, 3.42, 2352.87 },
438 { 2.6, 6.13, 6438.50 },
439 { 1.9, 5.31, 8429.24 },
440 { 2.4, 3.09, 4690.48 },
441 { 1.7, 1.54, 4705.73 },
442 { 2.2, 3.69, 7084.90 },
443 { 2.1, 1.28, 1748.02 },
444 { 1.8, 3.23, 6279.55 },
445 { 1.6, 4.10, 11499.66 },
446 { 1.6, 5.54, 3154.69 },
447 { 1.8, 1.82, 7632.94 },
448 /* 36 terms retained, 256 terms dropped, error 2.2e-07 a.u.*T */
449
450 /* earth r, T^2 */
451 { 4359.4, 5.78455, 6283.07585 },
452 { 123.6, 5.5793, 12566.1517 },
453 { 12.3, 3.142, 0 },
454 { 8.8, 3.63, 77713.77 },
455 { 5.7, 1.87, 5573.14 },
456 { 3.3, 5.47, 18849.23 },
457 { 1.5, 4.48, 5507.55 },
458 { 1.0, 2.81, 5223.69 },
459 { 0.9, 3.11, 1577.34 },
460 { 1.1, 2.84, 161000.69 },
461 { 0.6, 5.47, 775.52 },
462 { 0.6, 1.38, 6438.50 },
463 { 0.5, 4.42, 6286.60 },
464 { 0.4, 0.90, 10977.08 },
465 { 0.4, 3.20, 5088.63 },
466 { 0.5, 3.66, 7084.90 },
467 { 0.5, 5.39, 149854.40 },
468 /* 17 terms retained, 122 terms dropped, error 3.9e-08 a.u.*T^2 */
469
470 /* earth r, T^3 */
471 { 144.6, 4.2732, 6283.0758 },
472 { 6.7, 3.92, 12566.15 },
473 { 0.8, 0, 0 },
474 { 0.2, 3.73, 18849.23 },
475 /* 4 terms retained, 23 terms dropped, error 1.1e-08 a.u.*T^3 */
476
477 /* earth r, T^4 */
478 { 3.9, 2.56, 6283.08 },
479 { 0.3, 2.27, 12566.15 },
480 { 0.1, 3.44, 5573.14 },
481 /* 3 terms retained, 7 terms dropped, error 2.1e-09 a.u.*T^4 */
482
483 /* earth r, T^5 */
484 { 0.1, 1.22, 6283.08 },
485 /* 1 terms retained, 2 terms dropped, error 2.4e-09 a.u.*T^5 */
486 /* end earth */
487};
488
489int vn_earth[][3] = {
490 /* addresses for earth l, b, r */
491 /* T^0 */ { 0, 247, 274, },
492 /* T^1 */ { 117, 267, 345, },
493 /* T^2 */ { 188, 272, 381, },
494 /* T^3 */ { 232, 274, 398, },
495 /* T^4 */ { 240, 0, 402, },
496 /* T^5 */ { 244, 0, 405, },
497 /* end */ { 247, 0, 406, },
498 /* termination */ { 0, }
499};
500
501/* version d4 (lbr)
502 * heliocentric dynamical ecliptic and equinox of the date
503 */
504
505double vx_jupiter[][3] = {
506 /* jupiter l, T^0 */
507 { 59954691.5, 0, 0 },
508 { 9695898.7, 5.06191793, 529.69096509 },
509 { 573610.1, 1.4440621, 7.1135470 },
510 { 306389.2, 5.4173473, 1059.3819302 },
511 { 97178.3, 4.142647, 632.783739 },
512 { 72903.1, 3.640429, 522.577418 },
513 { 64264.0, 3.411452, 103.092774 },
514 { 39806.1, 2.293767, 419.484644 },
515 { 38857.8, 1.272317, 316.391870 },
516 { 27964.6, 1.784546, 536.804512 },
517 { 13589.7, 5.774810, 1589.072895 },
518 { 8246.4, 3.58228, 206.18555 },
519 { 8768.7, 3.63000, 949.17561 },
520 { 7368.1, 5.08101, 735.87651 },
521 { 6263.2, 0.02498, 213.29910 },
522 { 6114.0, 4.51320, 1162.47470 },
523 { 4905.4, 1.32085, 110.20632 },
524 { 5305.3, 1.30671, 14.22709 },
525 { 5305.5, 4.18625, 1052.26838 },
526 { 4647.2, 4.69958, 3.93215 },
527 { 3045.0, 4.31676, 426.59819 },
528 { 2610.0, 1.56668, 846.08283 },
529 { 2028.2, 1.06377, 3.18139 },
530 { 1764.8, 2.14148, 1066.49548 },
531 { 1723.0, 3.88036, 1265.56748 },
532 { 1921.0, 0.97169, 639.89729 },
533 { 1633.2, 3.58201, 515.46387 },
534 { 1432.0, 4.29684, 625.67019 },
535 { 973.3, 4.0976, 95.9792 },
536 { 884.4, 2.4370, 412.3711 },
537 { 732.9, 6.0853, 838.9693 },
538 { 731.1, 3.8059, 1581.9593 },
539 { 691.9, 6.1337, 2118.7639 },
540 { 709.2, 1.2927, 742.9901 },
541 { 614.5, 4.1085, 1478.8666 },
542 { 495.2, 3.7557, 323.5054 },
543 { 581.9, 4.5397, 309.2783 },
544 { 375.7, 4.7030, 1368.6603 },
545 { 389.9, 4.8972, 1692.1657 },
546 { 341.0, 5.7145, 533.6231 },
547 { 330.5, 4.7405, 0.0482 },
548 { 440.9, 2.9582, 454.9094 },
549 { 417.3, 1.0355, 2.4477 },
550 { 244.2, 5.2202, 728.7630 },
551 { 261.5, 1.8765, 0.9632 },
552 { 256.6, 3.7241, 199.0720 },
553 { 261.0, 0.8205, 380.1278 },
554 { 220.4, 1.6512, 543.9181 },
555 { 202.0, 1.8068, 1375.7738 },
556 { 207.3, 1.8546, 525.7588 },
557 { 197.0, 5.2925, 1155.3612 },
558 { 235.1, 1.2269, 909.8187 },
559 { 174.8, 5.9097, 956.2892 },
560 { 149.4, 4.3775, 1685.0521 },
561 { 175.2, 3.2263, 1898.3512 },
562 { 175.2, 3.7297, 942.0621 },
563 { 157.9, 4.3648, 1795.2584 },
564 { 137.9, 1.3180, 1169.5883 },
565 { 117.5, 2.5002, 1596.1864 },
566 { 150.5, 3.9063, 74.7816 },
567 { 116.8, 3.3892, 0.5213 },
568 { 105.9, 4.5544, 526.5096 },
569 { 130.5, 4.1687, 1045.1548 },
570 { 141.4, 3.1357, 491.5579 },
571 { 99.5, 1.421, 532.872 },
572 { 96.1, 1.182, 117.320 },
573 { 91.8, 0.858, 1272.681 },
574 { 87.7, 1.217, 453.425 },
575 { 68.5, 2.352, 2.921 },
576 { 66.1, 5.344, 1471.753 },
577 { 77.4, 4.427, 39.357 },
578 { 72.0, 4.238, 2111.650 },
579 { 63.4, 4.977, 0.751 },
580 { 59.4, 4.111, 2001.444 },
581 { 62.5, 0.512, 220.413 },
582 { 66.5, 2.989, 2214.743 },
583 { 60.2, 4.126, 4.193 },
584 { 56.0, 1.155, 21.341 },
585 { 52.9, 0.912, 10.295 },
586 { 70.3, 5.142, 835.037 },
587 { 51.9, 4.100, 1258.454 },
588 { 46.4, 4.665, 5.629 },
589 { 58.2, 5.866, 5753.385 },
590 { 40.1, 4.688, 0.160 },
591 { 46.7, 4.794, 305.346 },
592 { 39.3, 4.254, 853.196 },
593 { 46.0, 5.110, 4.666 },
594 { 54.5, 1.571, 983.116 },
595 { 38.9, 6.076, 518.645 },
596 { 38.4, 2.438, 433.712 },
597 { 46.8, 3.546, 5.417 },
598 { 41.8, 4.680, 302.165 },
599 { 35.9, 2.451, 430.530 },
600 { 37.9, 0.211, 2648.455 },
601 { 39.2, 1.718, 11.046 },
602 { 37.6, 6.195, 831.856 },
603 { 35.8, 4.615, 2008.558 },
604 { 43.4, 0.150, 528.206 },
605 { 31.6, 5.141, 1788.145 },
606 { 29.8, 5.344, 2221.857 },
607 { 32.8, 5.289, 88.866 },
608 { 27.7, 1.852, 0.212 },
609 { 25.8, 3.859, 2317.836 },
610 { 33.8, 1.006, 9683.595 },
611 { 27.1, 2.808, 18.159 },
612 { 26.8, 1.776, 532.139 },
613 { 26.1, 2.744, 2531.135 },
614 { 30.8, 0.423, 1.484 },
615 { 30.5, 3.667, 508.350 },
616 /* 109 terms retained, 651 terms dropped, error 1.3" */
617
618 /* jupiter l, T^1 */
619 { 52993480757.5, 0, 0 },
620 { 489741.2, 4.2206669, 529.6909651 },
621 { 228918.5, 6.0264746, 7.1135470 },
622 { 27655.4, 4.572660, 1059.381930 },
623 { 20720.9, 5.459389, 522.577418 },
624 { 12105.7, 0.169858, 536.804512 },
625 { 6068.1, 4.42420, 103.09277 },
626 { 5433.9, 3.98478, 419.48464 },
627 { 4237.8, 5.89009, 14.22709 },
628 { 2211.9, 5.26771, 206.18555 },
629 { 1295.8, 5.55133, 3.18139 },
630 { 1745.9, 4.92669, 1589.07290 },
631 { 1163.4, 0.51451, 3.93215 },
632 { 1007.2, 0.46478, 735.87651 },
633 { 1173.1, 5.85647, 1052.26838 },
634 { 847.7, 5.7581, 110.2063 },
635 { 827.3, 4.8031, 213.2991 },
636 { 1003.6, 3.15040, 426.59819 },
637 { 1098.7, 5.30705, 515.46387 },
638 { 816.4, 0.5864, 1066.4955 },
639 { 725.4, 5.5183, 639.8973 },
640 { 567.8, 5.9887, 625.6702 },
641 { 474.2, 4.1325, 412.3711 },
642 { 412.9, 5.7365, 95.9792 },
643 { 335.8, 3.7325, 1162.4747 },
644 { 345.2, 4.2416, 632.7837 },
645 { 234.1, 6.2430, 309.2783 },
646 { 194.8, 2.2188, 323.5054 },
647 { 234.3, 4.0347, 949.1756 },
648 { 183.9, 6.2796, 543.9181 },
649 { 198.5, 1.5046, 838.9693 },
650 { 186.9, 6.0862, 742.9901 },
651 { 171.4, 5.4166, 199.0720 },
652 { 130.8, 0.6264, 728.7630 },
653 { 107.6, 4.4928, 956.2892 },
654 { 115.4, 0.6802, 846.0828 },
655 { 115.0, 5.2864, 2118.7639 },
656 { 66.8, 5.734, 21.341 },
657 { 69.6, 5.973, 532.872 },
658 { 64.9, 6.088, 1581.959 },
659 { 79.7, 5.824, 1045.155 },
660 { 57.9, 0.995, 1596.186 },
661 { 65.6, 0.129, 526.510 },
662 { 58.5, 0.586, 1155.361 },
663 { 56.6, 1.412, 533.623 },
664 { 71.6, 5.342, 942.062 },
665 { 57.4, 5.969, 1169.588 },
666 { 54.9, 5.428, 10.295 },
667 { 52.0, 0.230, 1368.660 },
668 { 52.3, 5.727, 117.320 },
669 { 50.4, 6.081, 525.759 },
670 { 47.4, 3.626, 1478.867 },
671 { 39.9, 4.162, 1692.166 },
672 { 46.7, 0.511, 1265.567 },
673 { 32.8, 5.036, 220.413 },
674 { 33.6, 0.099, 302.165 },
675 { 29.4, 3.359, 4.666 },
676 { 29.3, 0.759, 88.866 },
677 { 32.4, 5.375, 508.350 },
678 { 29.5, 5.422, 1272.681 },
679 { 21.8, 6.151, 1685.052 },
680 { 25.2, 1.607, 831.856 },
681 { 21.1, 5.863, 1258.454 },
682 { 19.7, 2.172, 316.392 },
683 { 17.9, 0.828, 433.712 },
684 { 17.7, 5.955, 5.417 },
685 { 17.2, 2.764, 853.196 },
686 { 17.5, 0.707, 1471.753 },
687 { 17.5, 0.498, 1375.774 },
688 { 14.4, 0.915, 18.159 },
689 { 14.1, 0.630, 2.921 },
690 { 11.6, 4.304, 405.258 },
691 { 11.7, 1.764, 380.128 },
692 { 11.1, 5.567, 1574.846 },
693 { 10.4, 0.314, 1361.547 },
694 { 9.8, 5.90, 519.40 },
695 { 9.8, 0.39, 1073.61 },
696 { 9.3, 3.22, 1795.26 },
697 { 8.9, 0.54, 1788.14 },
698 { 8.4, 5.88, 2001.44 },
699 { 8.1, 5.10, 1485.98 },
700 { 7.7, 5.65, 2648.45 },
701 { 6.7, 2.41, 4.19 },
702 { 7.3, 6.19, 11.05 },
703 { 6.3, 1.36, 1148.25 },
704 /* 85 terms retained, 284 terms dropped, error 0.24"*T */
705
706 /* jupiter l, T^2 */
707 { 47233.6, 4.321483, 7.113547 },
708 { 30629.1, 2.930214, 529.690965 },
709 { 38965.5, 0, 0 },
710 { 3189.3, 1.05505, 522.57742 },
711 { 2723.4, 3.41412, 1059.38193 },
712 { 2729.3, 4.84545, 536.80451 },
713 { 1721.1, 4.18734, 14.22709 },
714 { 383.3, 5.7679, 419.4846 },
715 { 367.5, 6.0551, 103.0928 },
716 { 377.5, 0.7605, 515.4639 },
717 { 337.4, 3.7864, 3.1814 },
718 { 308.2, 0.6936, 206.1855 },
719 { 218.4, 3.8139, 1589.0729 },
720 { 198.9, 5.3400, 1066.4955 },
721 { 197.4, 2.4836, 3.9322 },
722 { 146.2, 3.8137, 639.8973 },
723 { 155.9, 1.4064, 1052.2684 },
724 { 129.6, 5.8374, 412.3711 },
725 { 141.9, 1.6344, 426.5982 },
726 { 117.3, 1.4144, 625.6702 },
727 { 96.7, 4.034, 110.206 },
728 { 90.8, 1.106, 95.979 },
729 { 78.8, 4.637, 543.918 },
730 { 72.4, 2.217, 735.877 },
731 { 87.3, 2.522, 632.784 },
732 { 56.9, 3.123, 213.299 },
733 { 48.6, 1.673, 309.278 },
734 { 58.5, 0.832, 199.072 },
735 { 40.1, 4.025, 21.341 },
736 { 39.8, 0.624, 323.505 },
737 { 35.7, 2.326, 728.763 },
738 { 25.6, 2.512, 1162.475 },
739 { 29.3, 3.608, 10.295 },
740 { 23.6, 3.005, 956.289 },
741 { 27.8, 3.240, 838.969 },
742 { 26.0, 4.501, 742.990 },
743 { 25.2, 1.219, 1045.155 },
744 { 19.5, 4.290, 532.872 },
745 { 17.7, 0.810, 508.350 },
746 { 15.4, 5.810, 1596.186 },
747 { 17.1, 4.200, 2118.764 },
748 { 17.0, 1.834, 526.510 },
749 { 14.7, 4.000, 117.320 },
750 { 13.6, 1.803, 302.165 },
751 { 13.2, 2.519, 88.866 },
752 { 12.8, 4.369, 1169.588 },
753 { 15.3, 0.682, 942.062 },
754 { 11.0, 4.436, 525.759 },
755 { 13.9, 5.952, 316.392 },
756 { 9.4, 2.18, 1155.36 },
757 { 8.8, 3.29, 220.41 },
758 { 7.8, 5.76, 846.08 },
759 { 7.5, 2.71, 533.62 },
760 { 9.7, 1.72, 1581.96 },
761 { 8.7, 3.32, 831.86 },
762 { 6.3, 0.50, 949.18 },
763 { 6.7, 2.18, 1265.57 },
764 { 5.4, 6.01, 405.26 },
765 { 4.7, 1.41, 1258.45 },
766 { 4.4, 3.02, 1692.17 },
767 { 4.4, 5.48, 433.71 },
768 { 4.3, 5.07, 1073.61 },
769 { 4.2, 5.29, 18.16 },
770 { 3.9, 1.27, 853.20 },
771 { 5.4, 3.65, 1272.68 },
772 { 4.4, 2.27, 1368.66 },
773 { 3.5, 1.54, 519.40 },
774 { 2.7, 2.10, 1478.87 },
775 { 2.7, 1.06, 1574.85 },
776 { 2.9, 2.05, 1361.55 },
777 { 3.1, 0.99, 191.96 },
778 { 2.5, 2.37, 1471.75 },
779 { 2.2, 2.48, 721.65 },
780 { 2.1, 3.71, 1485.98 },
781 { 2.0, 1.88, 1685.05 },
782 { 2.3, 3.03, 1148.25 },
783 { 2.0, 6.17, 330.62 },
784 /* 77 terms retained, 114 terms dropped, error 0.074"*T^2 */
785
786 /* jupiter l, T^3 */
787 { 6501.7, 2.59863, 7.11355 },
788 { 1356.5, 1.34636, 529.69097 },
789 { 470.7, 2.4750, 14.2271 },
790 { 417.0, 3.2445, 536.8045 },
791 { 352.9, 2.9736, 522.5774 },
792 { 154.9, 2.0757, 1059.3819 },
793 { 86.8, 2.514, 515.464 },
794 { 33.5, 3.826, 1066.495 },
795 { 44.4, 0, 0 },
796 { 22.6, 2.982, 543.918 },
797 { 23.7, 1.277, 412.371 },
798 { 28.5, 2.448, 206.186 },
799 { 19.8, 2.101, 639.897 },
800 { 19.7, 1.403, 419.485 },
801 { 18.8, 1.594, 103.093 },
802 { 17.0, 2.302, 21.341 },
803 { 16.8, 2.598, 1589.073 },
804 { 16.2, 3.145, 625.670 },
805 { 16.1, 3.360, 1052.268 },
806 { 13.4, 2.760, 95.979 },
807 { 13.2, 2.539, 199.072 },
808 { 12.6, 6.266, 426.598 },
809 { 8.6, 2.27, 110.21 },
810 { 6.7, 3.43, 309.28 },
811 { 8.7, 1.76, 10.29 },
812 { 6.5, 4.04, 728.76 },
813 { 5.4, 5.25, 323.51 },
814 { 5.7, 2.52, 508.35 },
815 { 5.4, 2.91, 1045.15 },
816 { 4.0, 4.30, 88.87 },
817 { 3.9, 3.52, 302.16 },
818 { 3.8, 4.09, 735.88 },
819 { 3.3, 1.43, 956.29 },
820 { 2.8, 4.36, 1596.19 },
821 { 2.7, 1.25, 213.30 },
822 { 2.6, 2.24, 117.32 },
823 { 2.4, 2.90, 742.99 },
824 { 2.7, 5.02, 838.97 },
825 { 1.9, 2.77, 1169.59 },
826 { 2.3, 2.36, 942.06 },
827 { 1.5, 1.61, 220.41 },
828 { 1.5, 3.09, 2118.76 },
829 { 1.9, 5.01, 831.86 },
830 { 1.6, 1.40, 405.26 },
831 { 1.3, 3.98, 1155.36 },
832 { 1.2, 3.46, 1073.61 },
833 { 1.0, 3.39, 532.87 },
834 { 0.9, 2.70, 191.96 },
835 { 0.8, 1.48, 632.78 },
836 { 0.8, 1.11, 1162.47 },
837 { 0.8, 3.30, 1258.45 },
838 { 0.7, 5.90, 853.20 },
839 { 0.8, 3.66, 1581.96 },
840 { 0.7, 3.75, 433.71 },
841 { 0.7, 2.93, 1574.85 },
842 { 0.7, 3.53, 525.76 },
843 { 0.6, 4.15, 721.65 },
844 { 0.6, 4.69, 81.75 },
845 { 0.7, 1.96, 1272.68 },
846 { 0.5, 1.57, 949.18 },
847 { 0.7, 2.02, 526.51 },
848 { 0.5, 4.36, 1368.66 },
849 { 0.5, 4.96, 1148.25 },
850 { 0.5, 4.31, 330.62 },
851 { 0.6, 2.28, 551.03 },
852 { 0.5, 3.87, 1361.55 },
853 { 0.4, 2.95, 1038.04 },
854 { 0.4, 4.08, 1471.75 },
855 { 0.4, 2.22, 539.99 },
856 { 0.4, 4.53, 1464.64 },
857 /* 70 terms retained, 39 terms dropped, error 0.014"*T^3 */
858
859 /* jupiter l, T^4 */
860 { 669.5, 0.8528, 7.1135 },
861 { 100.0, 0.7426, 14.2271 },
862 { 114.0, 3.1416, 0 },
863 { 50.0, 1.653, 536.805 },
864 { 43.6, 5.820, 529.691 },
865 { 31.8, 4.858, 522.577 },
866 { 14.7, 4.291, 515.464 },
867 { 8.9, 0.71, 1059.38 },
868 { 5.0, 1.30, 543.92 },
869 { 4.5, 2.32, 1066.50 },
870 { 4.3, 0.48, 21.34 },
871 { 3.1, 3.00, 412.37 },
872 { 2.1, 0.40, 639.90 },
873 { 1.8, 4.91, 625.67 },
874 { 1.9, 4.26, 199.07 },
875 { 1.7, 4.26, 206.19 },
876 { 1.4, 5.26, 1052.27 },
877 { 1.2, 4.72, 95.98 },
878 { 1.1, 1.29, 1589.07 },
879 { 1.0, 4.78, 1045.15 },
880 { 0.9, 6.06, 88.87 },
881 { 0.9, 5.78, 728.76 },
882 { 0.9, 4.55, 426.60 },
883 { 0.8, 3.40, 419.48 },
884 { 0.8, 3.55, 103.09 },
885 { 0.7, 0.52, 110.21 },
886 { 0.4, 5.23, 302.16 },
887 { 0.4, 6.24, 956.29 },
888 { 0.4, 5.25, 309.28 },
889 { 0.4, 0.60, 117.32 },
890 { 0.3, 4.78, 508.35 },
891 { 0.3, 3.48, 323.51 },
892 { 0.3, 2.96, 1596.19 },
893 { 0.3, 4.33, 942.06 },
894 { 0.3, 0.48, 831.86 },
895 { 0.3, 1.80, 1073.61 },
896 { 0.2, 0.44, 220.41 },
897 { 0.2, 1.13, 1169.59 },
898 { 0.2, 2.16, 1361.55 },
899 { 0.2, 3.43, 1148.25 },
900 { 0.2, 1.93, 2118.76 },
901 { 0.2, 3.03, 1272.68 },
902 /* 42 terms retained, 3 terms dropped, error 0.0042"*T^4 */
903
904 /* jupiter l, T^5 */
905 { 49.6, 5.257, 7.114 },
906 { 15.8, 5.251, 14.227 },
907 { 4.3, 0.01, 536.80 },
908 { 1.5, 1.10, 522.58 },
909 { 0.7, 5.86, 543.92 },
910 { 0.7, 0.87, 515.46 },
911 { 0.8, 3.14, 0 },
912 { 0.5, 0.82, 1066.50 },
913 { 0.3, 5.63, 1059.38 },
914 /* 9 terms retained, 1 terms dropped, error 0.0038"*T^5 */
915 /* end jupiter l */
916
917 /* jupiter b, T^0 */
918 { 2268615.7, 3.55852607, 529.69096509 },
919 { 109971.6, 3.9080935, 1059.3819302 },
920 { 110090.4, 0, 0 },
921 { 8101.4, 3.60510, 522.57742 },
922 { 6044.0, 4.25883, 1589.07290 },
923 { 6437.8, 0.30627, 536.80451 },
924 { 1106.9, 2.98534, 1162.47470 },
925 { 941.7, 2.9362, 1052.2684 },
926 { 894.1, 1.7545, 7.1135 },
927 { 767.3, 2.1547, 632.7837 },
928 { 944.3, 1.6752, 426.5982 },
929 { 684.2, 3.6781, 213.2991 },
930 { 629.2, 0.6434, 1066.4955 },
931 { 835.9, 5.1788, 103.0928 },
932 { 531.7, 2.7031, 110.2063 },
933 { 558.5, 0.0135, 846.0828 },
934 { 464.4, 1.1734, 949.1756 },
935 { 431.1, 2.6083, 419.4846 },
936 { 351.4, 4.6106, 2118.7639 },
937 { 123.1, 3.3497, 1692.1657 },
938 { 115.0, 5.0489, 316.3919 },
939 { 132.2, 4.7782, 742.9901 },
940 { 103.4, 2.3188, 1478.8666 },
941 { 116.4, 1.3869, 323.5054 },
942 { 102.4, 3.1529, 1581.9593 },
943 { 103.8, 3.7010, 515.4639 },
944 { 78.7, 3.983, 1265.567 },
945 { 69.9, 2.560, 956.289 },
946 { 55.6, 0.375, 1375.774 },
947 { 52.0, 0.990, 1596.186 },
948 { 55.2, 0.402, 525.759 },
949 { 63.5, 4.501, 735.877 },
950 { 49.7, 0.186, 543.918 },
951 { 48.8, 3.573, 533.623 },
952 { 28.4, 1.535, 625.670 },
953 { 29.2, 5.431, 206.186 },
954 /* 36 terms retained, 213 terms dropped, error 0.73" */
955
956 /* jupiter b, T^1 */
957 { 177351.8, 5.7016649, 529.6909651 },
958 { 3230.2, 5.77942, 1059.38193 },
959 { 3081.4, 5.47464, 522.57742 },
960 { 2211.9, 4.73477, 536.80451 },
961 { 1694.2, 3.14159, 0 },
962 { 346.4, 4.7460, 1052.2684 },
963 { 234.3, 5.1886, 1066.4955 },
964 { 196.2, 6.1855, 7.1135 },
965 { 150.5, 3.9272, 1589.0729 },
966 { 114.1, 3.4390, 632.7837 },
967 { 96.7, 2.914, 949.176 },
968 { 76.6, 2.505, 103.093 },
969 { 81.7, 5.077, 1162.475 },
970 { 76.6, 0.613, 419.485 },
971 { 73.9, 5.500, 515.464 },
972 { 49.9, 3.948, 735.877 },
973 { 60.5, 5.447, 213.299 },
974 { 36.6, 4.698, 543.918 },
975 { 46.0, 0.539, 110.206 },
976 { 45.1, 1.895, 846.083 },
977 { 36.0, 6.110, 316.392 },
978 { 32.0, 4.925, 1581.959 },
979 { 21.0, 5.630, 1596.186 },
980 { 23.2, 5.848, 323.505 },
981 { 24.7, 3.941, 2118.764 },
982 { 17.3, 5.653, 533.623 },
983 { 16.5, 5.898, 526.510 },
984 { 16.7, 5.667, 1265.567 },
985 { 15.8, 4.433, 1045.155 },
986 { 13.4, 4.302, 532.872 },
987 { 11.7, 1.810, 956.289 },
988 { 11.9, 4.301, 525.759 },
989 { 9.5, 2.03, 206.19 },
990 { 10.5, 6.155, 14.227 },
991 { 8.4, 3.93, 1478.87 },
992 { 8.1, 4.20, 1169.59 },
993 { 7.7, 2.99, 942.06 },
994 { 8.8, 1.56, 426.60 },
995 { 8.9, 4.87, 1155.36 },
996 { 7.8, 3.85, 625.67 },
997 /* 40 terms retained, 101 terms dropped, error 0.21"*T */
998
999 /* jupiter b, T^2 */
1000 { 8094.1, 1.46323, 529.69097 },
1001 { 742.4, 0.9569, 522.5774 },
1002 { 813.2, 3.1416, 0 },
1003 { 399.0, 2.8989, 536.8045 },
1004 { 342.2, 1.4468, 1059.3819 },
1005 { 73.9, 0.407, 1052.268 },
1006 { 46.2, 3.480, 1066.495 },
1007 { 29.3, 0.991, 515.464 },
1008 { 29.7, 1.925, 1589.073 },
1009 { 22.8, 4.271, 7.114 },
1010 { 13.9, 2.922, 543.918 },
1011 { 12.1, 5.222, 632.784 },
1012 { 10.7, 4.880, 949.176 },
1013 { 6.1, 6.21, 1045.15 },
1014 { 5.9, 0.53, 1581.96 },
1015 { 5.0, 1.43, 526.51 },
1016 { 4.6, 0.92, 1162.47 },
1017 { 4.5, 4.02, 1596.19 },
1018 { 5.1, 6.03, 735.88 },
1019 { 3.6, 4.54, 110.21 },
1020 { 3.4, 1.39, 533.62 },
1021 { 3.3, 4.40, 14.23 },
1022 { 3.4, 0.42, 419.48 },
1023 { 2.9, 2.06, 316.39 },
1024 { 2.5, 3.98, 323.51 },
1025 { 3.1, 2.48, 2118.76 },
1026 { 3.1, 2.40, 532.87 },
1027 { 2.2, 4.78, 942.06 },
1028 { 2.1, 3.89, 426.60 },
1029 { 2.3, 0.37, 1155.36 },
1030 { 2.0, 3.90, 846.08 },
1031 { 1.9, 1.20, 103.09 },
1032 { 1.7, 1.42, 1265.57 },
1033 { 2.3, 0.88, 213.30 },
1034 { 1.8, 5.80, 625.67 },
1035 { 1.7, 2.24, 525.76 },
1036 /* 36 terms retained, 45 terms dropped, error 0.043"*T^2 */
1037
1038 /* jupiter b, T^3 */
1039 { 251.6, 3.3809, 529.6910 },
1040 { 121.7, 2.7331, 522.5774 },
1041 { 48.7, 1.037, 536.805 },
1042 { 11.0, 2.315, 1052.268 },
1043 { 8.1, 2.77, 515.46 },
1044 { 6.2, 1.78, 1066.50 },
1045 { 7.3, 4.25, 1059.38 },
1046 { 3.6, 1.13, 543.92 },
1047 { 2.8, 3.14, 0 },
1048 { 1.9, 2.29, 7.11 },
1049 { 1.6, 1.78, 1045.15 },
1050 { 0.9, 0.45, 632.78 },
1051 { 0.8, 0.31, 949.18 },
1052 { 0.7, 2.64, 14.23 },
1053 { 0.9, 0.33, 1589.07 },
1054 { 0.7, 2.37, 1581.96 },
1055 { 0.6, 2.48, 1596.19 },
1056 { 0.7, 1.53, 735.88 },
1057 { 0.5, 3.68, 419.48 },
1058 { 0.5, 0.27, 942.06 },
1059 { 0.5, 3.18, 526.51 },
1060 { 0.4, 2.88, 110.21 },
1061 /* 22 terms retained, 20 terms dropped, error 0.0081"*T^3 */
1062
1063 /* jupiter b, T^4 */
1064 { 15.1, 4.530, 522.577 },
1065 { 5.4, 4.47, 529.69 },
1066 { 4.5, 5.44, 536.80 },
1067 { 3.4, 0, 0 },
1068 { 1.8, 4.52, 515.46 },
1069 { 1.3, 4.20, 1052.27 },
1070 { 0.8, 5.59, 543.92 },
1071 { 0.5, 0.06, 1066.50 },
1072 { 0.3, 3.67, 1059.38 },
1073 { 0.1, 3.56, 1045.15 },
1074 { 0.1, 5.70, 7.11 },
1075 { 0.1, 1.17, 14.23 },
1076 /* 12 terms retained, 0 terms dropped, error 0.0017"*T^4 */
1077
1078 /* jupiter b, T^5 */
1079 { 1.4, 0.09, 522.58 },
1080 { 0.4, 0.01, 515.46 },
1081 { 0.3, 3.28, 536.80 },
1082 { 0.1, 0.34, 529.69 },
1083 /* 4 terms retained, 1 terms dropped, error 0.0012"*T^5 */
1084 /* end jupiter b */
1085
1086 /* jupiter r, T^0 */
1087 { 520887429.5, 0, 0 },
1088 { 25209327.0, 3.491086400, 529.690965095 },
1089 { 610599.9, 3.8411537, 1059.3819302 },
1090 { 282029.5, 2.5741988, 632.7837393 },
1091 { 187647.4, 2.0759038, 522.5774181 },
1092 { 86792.9, 0.710011, 419.484644 },
1093 { 72062.9, 0.214657, 536.804512 },
1094 { 65517.2, 5.979959, 316.391870 },
1095 { 29134.6, 1.677592, 103.092774 },
1096 { 30135.3, 2.161321, 949.175609 },
1097 { 23453.2, 3.540231, 735.876514 },
1098 { 22283.7, 4.193628, 1589.072895 },
1099 { 23947.3, 0.274579, 7.113547 },
1100 { 13032.6, 2.960431, 1162.474704 },
1101 { 9703.3, 1.90670, 206.18555 },
1102 { 12749.0, 2.715501, 1052.268383 },
1103 { 9161.4, 4.41353, 213.29910 },
1104 { 7894.5, 2.47908, 426.59819 },
1105 { 7058.0, 2.18185, 1265.56748 },
1106 { 6137.8, 6.26418, 846.08283 },
1107 { 5477.1, 5.65729, 639.89729 },
1108 { 3502.5, 0.56531, 1066.49548 },
1109 { 4136.9, 2.72220, 625.67019 },
1110 { 4170.0, 2.01605, 515.46387 },
1111 { 2500.0, 4.55182, 838.96929 },
1112 { 2617.0, 2.00994, 1581.95935 },
1113 { 1911.9, 0.85622, 412.37110 },
1114 { 2127.6, 6.12751, 742.99006 },
1115 { 1610.5, 3.08868, 1368.66025 },
1116 { 1479.5, 2.68026, 1478.86657 },
1117 { 1230.7, 1.89043, 323.50542 },
1118 { 1216.8, 1.80172, 110.20632 },
1119 { 961.1, 4.5488, 2118.7639 },
1120 { 885.7, 4.1479, 533.6231 },
1121 { 776.7, 3.6770, 728.7630 },
1122 { 998.6, 2.8721, 309.2783 },
1123 { 1015.0, 1.38673, 454.90937 },
1124 { 727.2, 3.9882, 1155.3612 },
1125 { 655.3, 2.7907, 1685.0521 },
1126 { 821.5, 1.5934, 1898.3512 },
1127 { 620.8, 4.8228, 956.2892 },
1128 { 654.0, 3.3815, 1692.1657 },
1129 { 812.0, 5.9409, 909.8187 },
1130 { 562.1, 0.0810, 543.9181 },
1131 { 542.2, 0.2836, 525.7588 },
1132 { 457.9, 0.1272, 1375.7738 },
1133 { 614.8, 2.2762, 942.0621 },
1134 { 435.8, 2.6027, 95.9792 },
1135 { 496.1, 5.5301, 380.1278 },
1136 { 470.0, 2.8190, 1795.2584 },
1137 { 445.0, 0.1462, 14.2271 },
1138 { 290.9, 3.8934, 1471.7530 },
1139 { 276.6, 2.5224, 2001.4440 },
1140 { 275.1, 2.9886, 526.5096 },
1141 { 293.9, 2.0494, 199.0720 },
1142 { 291.0, 6.0313, 1169.5883 },
1143 { 338.3, 2.7987, 1045.1548 },
1144 { 257.5, 6.1340, 532.8724 },
1145 { 319.0, 1.3480, 2214.7431 },
1146 { 309.4, 5.3686, 1272.6810 },
1147 { 345.8, 1.5640, 491.5579 },
1148 { 303.4, 1.1541, 5753.3849 },
1149 { 192.3, 0.9200, 1596.1864 },
1150 { 215.4, 2.6357, 2111.6503 },
1151 { 200.7, 2.3726, 1258.4539 },
1152 { 239.0, 3.5740, 835.0371 },
1153 { 197.1, 5.9286, 453.4249 },
1154 { 139.4, 3.6396, 1788.1449 },
1155 { 191.4, 6.2825, 983.1159 },
1156 { 176.6, 2.5767, 9683.5946 },
1157 { 123.6, 2.2616, 2317.8359 },
1158 { 128.2, 4.6659, 831.8557 },
1159 { 112.4, 0.8560, 433.7117 },
1160 { 128.8, 1.1057, 2531.1350 },
1161 { 99.4, 4.503, 518.645 },
1162 { 93.9, 2.726, 853.196 },
1163 { 106.5, 5.8146, 220.4126 },
1164 { 120.2, 2.9516, 3.9322 },
1165 { 104.0, 2.2222, 74.7816 },
1166 { 81.7, 3.235, 1361.547 },
1167 { 112.5, 4.8622, 528.2065 },
1168 { 79.5, 0.885, 430.530 },
1169 { 85.8, 2.115, 1574.846 },
1170 { 85.7, 2.338, 2428.042 },
1171 { 68.3, 3.357, 2104.537 },
1172 { 69.6, 3.042, 302.165 },
1173 { 69.8, 3.224, 305.346 },
1174 { 69.6, 0.205, 532.139 },
1175 { 57.0, 2.002, 2634.228 },
1176 { 77.1, 2.098, 508.350 },
1177 { 56.7, 3.917, 2221.857 },
1178 { 58.3, 5.724, 628.852 },
1179 { 52.5, 4.025, 527.243 },
1180 { 63.6, 1.100, 1364.728 },
1181 { 53.6, 0.874, 2847.527 },
1182 { 59.6, 0.958, 494.266 },
1183 { 58.0, 3.458, 2008.558 },
1184 { 41.5, 3.520, 529.739 },
1185 { 44.7, 1.623, 984.600 },
1186 { 44.9, 4.901, 2648.455 },
1187 { 53.2, 1.198, 760.256 },
1188 { 44.4, 4.426, 1063.314 },
1189 { 37.6, 2.930, 1677.939 },
1190 { 41.5, 0.322, 529.643 },
1191 { 42.9, 0.031, 1439.510 },
1192 { 46.0, 2.543, 636.716 },
1193 { 40.2, 4.394, 1148.248 },
1194 { 38.8, 4.317, 149.563 },
1195 { 40.3, 2.101, 2744.434 },
1196 { 48.9, 5.603, 2810.921 },
1197 { 37.1, 5.078, 1905.465 },
1198 { 43.9, 1.245, 621.738 },
1199 { 34.0, 3.094, 2420.929 },
1200 { 36.8, 0.842, 530.654 },
1201 { 31.1, 5.358, 1485.980 },
1202 { 39.3, 4.708, 569.048 },
1203 { 39.7, 2.462, 355.749 },
1204 { 31.5, 6.193, 3.181 },
1205 { 28.4, 2.485, 519.396 },
1206 { 32.4, 2.733, 604.473 },
1207 { 27.1, 3.923, 2324.949 },
1208 { 26.8, 1.750, 2950.620 },
1209 { 29.0, 1.835, 1891.238 },
1210 { 26.5, 0.604, 1055.450 },
1211 { 33.5, 0.761, 643.829 },
1212 { 26.6, 1.036, 405.258 },
1213 { 25.5, 3.463, 458.842 },
1214 { 32.9, 3.186, 528.728 },
1215 { 25.7, 0.524, 511.532 },
1216 { 26.0, 1.336, 330.619 },
1217 /* 130 terms retained, 615 terms dropped, error 6e-06 a.u. */
1218
1219 /* jupiter r, T^1 */
1220 { 1271801.6, 2.64937511, 529.69096509 },
1221 { 61661.8, 3.000763, 1059.381930 },
1222 { 53443.6, 3.897176, 522.577418 },
1223 { 31185.2, 4.882767, 536.804512 },
1224 { 41390.3, 0, 0 },
1225 { 11847.2, 2.413296, 419.484644 },
1226 { 9166.4, 4.75979, 7.11355 },
1227 { 3175.8, 2.79298, 103.09277 },
1228 { 3203.4, 5.21083, 735.87651 },
1229 { 3403.6, 3.34689, 1589.07290 },
1230 { 2600.0, 3.63435, 206.18555 },
1231 { 2412.2, 1.46947, 426.59819 },
1232 { 2806.1, 3.74224, 515.46387 },
1233 { 2676.6, 4.33053, 1052.26838 },
1234 { 2100.5, 3.92763, 639.89729 },
1235 { 1646.2, 5.30954, 1066.49548 },
1236 { 1641.3, 4.41629, 625.67019 },
1237 { 1049.9, 3.16114, 213.29910 },
1238 { 1024.8, 2.55433, 412.37110 },
1239 { 741.0, 2.1709, 1162.4747 },
1240 { 806.4, 2.6775, 632.7837 },
1241 { 676.9, 6.2495, 838.9693 },
1242 { 468.9, 4.7097, 543.9181 },
1243 { 444.7, 0.4028, 323.5054 },
1244 { 567.1, 4.5766, 742.9901 },
1245 { 415.9, 5.3684, 728.7630 },
1246 { 484.7, 2.4688, 949.1756 },
1247 { 337.6, 3.1678, 956.2892 },
1248 { 401.7, 4.6053, 309.2783 },
1249 { 347.4, 4.6815, 14.2271 },
1250 { 260.8, 5.3429, 846.0828 },
1251 { 220.1, 4.8421, 1368.6603 },
1252 { 203.2, 5.6000, 1155.3612 },
1253 { 246.6, 3.9231, 942.0621 },
1254 { 183.5, 4.2653, 95.9792 },
1255 { 180.1, 4.4017, 532.8724 },
1256 { 197.1, 3.7055, 2118.7639 },
1257 { 196.0, 3.7588, 199.0720 },
1258 { 200.2, 4.4389, 1045.1548 },
1259 { 170.2, 4.8465, 526.5096 },
1260 { 146.3, 6.1296, 533.6231 },
1261 { 133.5, 1.3225, 110.2063 },
1262 { 132.1, 4.5119, 525.7588 },
1263 { 123.9, 2.0429, 1478.8666 },
1264 { 121.9, 4.4058, 1169.5883 },
1265 { 115.3, 4.4674, 1581.9593 },
1266 { 98.5, 5.728, 1596.186 },
1267 { 91.6, 4.530, 1685.052 },
1268 { 110.6, 3.6250, 1272.6810 },
1269 { 80.5, 4.113, 1258.454 },
1270 { 79.6, 2.719, 1692.166 },
1271 { 100.2, 5.2469, 1265.5675 },
1272 { 77.9, 5.567, 1471.753 },
1273 { 85.8, 0.079, 831.856 },
1274 { 82.1, 3.808, 508.350 },
1275 { 55.3, 0.352, 316.392 },
1276 { 52.3, 5.531, 433.712 },
1277 { 55.8, 4.751, 302.165 },
1278 { 50.6, 4.856, 1375.774 },
1279 { 43.6, 4.944, 1361.547 },
1280 { 42.2, 1.224, 853.196 },
1281 { 37.7, 4.268, 2001.444 },
1282 { 49.4, 4.014, 220.413 },
1283 { 38.3, 5.330, 1788.145 },
1284 { 35.6, 1.762, 1795.258 },
1285 { 36.3, 3.850, 1574.846 },
1286 { 29.3, 5.166, 3.932 },
1287 { 25.2, 4.338, 519.396 },
1288 { 24.8, 2.729, 405.258 },
1289 { 27.0, 6.097, 1148.248 },
1290 { 22.6, 0.192, 380.128 },
1291 { 20.5, 4.329, 3.181 },
1292 { 19.9, 4.630, 1677.939 },
1293 { 19.5, 5.106, 1073.609 },
1294 { 18.4, 3.765, 1485.980 },
1295 { 18.9, 5.053, 2104.537 },
1296 { 17.0, 4.018, 2317.836 },
1297 { 16.7, 5.429, 88.866 },
1298 { 15.3, 2.927, 2008.558 },
1299 { 14.5, 3.633, 628.852 },
1300 { 14.6, 5.508, 721.649 },
1301 { 13.7, 4.876, 629.602 },
1302 { 18.5, 6.030, 330.619 },
1303 { 13.5, 1.385, 518.645 },
1304 { 15.7, 2.930, 1905.465 },
1305 { 12.5, 1.586, 2111.650 },
1306 { 12.3, 3.377, 635.965 },
1307 { 11.8, 4.085, 2648.455 },
1308 { 11.2, 4.626, 636.716 },
1309 { 14.3, 2.742, 2221.857 },
1310 { 11.2, 3.553, 1891.238 },
1311 { 13.1, 5.838, 1464.639 },
1312 { 11.4, 2.576, 511.532 },
1313 { 10.5, 0.499, 453.425 },
1314 { 9.7, 4.39, 1994.33 },
1315 { 10.1, 2.764, 423.417 },
1316 { 8.6, 5.16, 1056.20 },
1317 { 9.0, 4.79, 2420.93 },
1318 { 8.1, 3.73, 2634.23 },
1319 { 8.1, 1.29, 2428.04 },
1320 { 8.9, 1.86, 750.10 },
1321 { 8.9, 4.81, 1062.56 },
1322 { 8.6, 4.54, 21.34 },
1323 { 9.5, 4.33, 1802.37 },
1324 { 6.9, 5.97, 540.74 },
1325 { 7.3, 4.98, 1699.28 },
1326 { 7.1, 4.99, 1055.45 },
1327 { 7.2, 4.98, 1898.35 },
1328 { 6.5, 1.39, 422.67 },
1329 { 6.8, 2.91, 2324.95 },
1330 { 6.5, 4.57, 1038.04 },
1331 { 7.3, 3.02, 416.30 },
1332 { 6.6, 5.55, 1781.03 },
1333 /* 113 terms retained, 268 terms dropped, error 1.4e-06 a.u.*T */
1334
1335 /* jupiter r, T^2 */
1336 { 79644.8, 1.358659, 529.690965 },
1337 { 8251.6, 5.77774, 522.57742 },
1338 { 7029.9, 3.27477, 536.80451 },
1339 { 5314.0, 1.83835, 1059.38193 },
1340 { 1860.8, 2.97682, 7.11355 },
1341 { 836.3, 4.1989, 419.4846 },
1342 { 964.5, 5.4803, 515.4639 },
1343 { 406.5, 3.7825, 1066.4955 },
1344 { 426.6, 2.2275, 639.8973 },
1345 { 377.3, 2.2425, 1589.0729 },
1346 { 497.9, 3.1416, 0 },
1347 { 339.0, 6.1269, 625.6702 },
1348 { 362.9, 5.3676, 206.1855 },
1349 { 342.0, 6.0992, 1052.2684 },
1350 { 279.9, 4.2616, 412.3711 },
1351 { 332.6, 0.0033, 426.5982 },
1352 { 229.8, 0.7053, 735.8765 },
1353 { 200.8, 3.0685, 543.9181 },
1354 { 199.8, 4.4288, 103.0928 },
1355 { 257.3, 0.9630, 632.7837 },
1356 { 138.6, 2.9324, 14.2271 },
1357 { 113.5, 0.7871, 728.7630 },
1358 { 86.0, 5.144, 323.505 },
1359 { 94.6, 1.705, 838.969 },
1360 { 83.5, 0.058, 309.278 },
1361 { 75.2, 1.605, 956.289 },
1362 { 70.5, 1.510, 213.299 },
1363 { 80.3, 2.981, 742.990 },
1364 { 56.2, 0.955, 1162.475 },
1365 { 61.6, 6.101, 1045.155 },
1366 { 66.6, 5.473, 199.072 },
1367 { 50.1, 2.721, 532.872 },
1368 { 51.9, 5.584, 942.062 },
1369 { 39.8, 5.946, 95.979 },
1370 { 44.5, 5.524, 508.350 },
1371 { 44.3, 0.271, 526.510 },
1372 { 29.9, 0.936, 1155.361 },
1373 { 28.4, 2.878, 525.759 },
1374 { 26.3, 4.269, 1596.186 },
1375 { 27.0, 2.806, 1169.588 },
1376 { 27.5, 2.648, 2118.764 },
1377 { 22.7, 0.178, 302.165 },
1378 { 29.3, 1.786, 831.856 },
1379 { 20.0, 0.043, 949.176 },
1380 { 19.9, 1.161, 533.623 },
1381 { 21.7, 1.888, 1272.681 },
1382 { 17.6, 4.150, 846.083 },
1383 { 17.1, 5.892, 1258.454 },
1384 { 21.4, 4.355, 316.392 },
1385 { 21.3, 0.544, 1265.567 },
1386 { 19.9, 0.065, 1581.959 },
1387 { 17.0, 0.534, 1368.660 },
1388 { 12.8, 3.900, 433.712 },
1389 { 13.1, 0.795, 110.206 },
1390 { 11.9, 0.407, 1361.547 },
1391 { 11.7, 4.444, 405.258 },
1392 { 12.0, 2.229, 220.413 },
1393 { 9.6, 6.01, 853.20 },
1394 { 10.2, 0.995, 1471.753 },
1395 { 9.0, 1.60, 1692.17 },
1396 { 8.7, 3.52, 1073.61 },
1397 { 8.3, 5.60, 1574.85 },
1398 { 9.0, 6.27, 519.40 },
1399 { 7.8, 0.65, 1478.87 },
1400 { 7.8, 0.18, 1685.05 },
1401 { 7.5, 0.88, 88.87 },
1402 { 7.3, 0.89, 721.65 },
1403 { 9.1, 1.51, 1148.25 },
1404 { 6.1, 2.50, 3.18 },
1405 { 7.0, 4.44, 330.62 },
1406 { 5.2, 2.79, 21.34 },
1407 { 5.1, 2.98, 1375.77 },
1408 { 4.9, 0.05, 1677.94 },
1409 { 4.7, 2.28, 1485.98 },
1410 { 4.7, 0.86, 3.93 },
1411 { 5.3, 0.85, 1788.14 },
1412 { 4.2, 0.41, 629.60 },
1413 { 4.2, 1.61, 635.97 },
1414 { 3.6, 2.71, 551.03 },
1415 { 3.3, 0.55, 1795.26 },
1416 { 4.4, 1.28, 1464.64 },
1417 { 3.3, 1.19, 1905.46 },
1418 { 3.2, 6.19, 1038.04 },
1419 { 3.1, 6.23, 2001.44 },
1420 { 3.4, 2.45, 539.99 },
1421 { 3.2, 5.55, 191.96 },
1422 { 2.6, 3.24, 1062.56 },
1423 { 2.6, 0.55, 2104.54 },
1424 { 2.2, 5.33, 1891.24 },
1425 { 2.7, 4.82, 416.30 },
1426 { 2.2, 1.72, 628.85 },
1427 { 2.3, 6.19, 1994.33 },
1428 { 2.3, 4.28, 963.40 },
1429 { 2.6, 0.03, 1898.35 },
1430 { 2.1, 3.33, 1699.28 },
1431 { 2.5, 2.40, 227.53 },
1432 { 2.5, 0.07, 750.10 },
1433 { 2.0, 0.29, 636.72 },
1434 { 1.9, 0.32, 295.05 },
1435 { 1.9, 3.44, 647.01 },
1436 { 1.9, 0.29, 2111.65 },
1437 { 1.9, 3.14, 611.44 },
1438 { 2.3, 1.95, 824.74 },
1439 { 1.9, 4.72, 2125.88 },
1440 { 2.5, 1.24, 2221.86 },
1441 { 1.8, 1.60, 2008.56 },
1442 { 1.6, 5.83, 422.67 },
1443 { 1.7, 2.32, 440.83 },
1444 { 1.6, 0.37, 1056.20 },
1445 { 1.6, 2.42, 10.29 },
1446 { 1.6, 3.52, 1055.45 },
1447 { 1.6, 5.76, 117.32 },
1448 { 1.6, 5.89, 2317.84 },
1449 { 2.0, 4.62, 423.42 },
1450 { 2.1, 1.05, 1781.03 },
1451 { 1.9, 1.12, 618.56 },
1452 { 1.9, 2.79, 1802.37 },
1453 { 1.8, 3.01, 2648.45 },
1454 /* 118 terms retained, 72 terms dropped, error 3.9e-07 a.u.*T^2 */
1455
1456 /* jupiter r, T^3 */
1457 { 3519.3, 6.05801, 529.69097 },
1458 { 1073.2, 1.67321, 536.80451 },
1459 { 915.7, 1.4133, 522.5774 },
1460 { 341.6, 0.5230, 1059.3819 },
1461 { 254.9, 1.1963, 7.1135 },
1462 { 221.5, 0.9523, 515.4639 },
1463 { 69.1, 2.269, 1066.495 },
1464 { 89.7, 3.142, 0 },
1465 { 57.8, 1.414, 543.918 },
1466 { 57.7, 0.526, 639.897 },
1467 { 51.1, 5.980, 412.371 },
1468 { 46.9, 1.579, 625.670 },
1469 { 42.8, 6.117, 419.485 },
1470 { 37.5, 1.183, 14.227 },
1471 { 33.8, 1.667, 1052.268 },
1472 { 31.2, 1.043, 1589.073 },
1473 { 30.0, 4.632, 426.598 },
1474 { 33.5, 0.848, 206.186 },
1475 { 20.8, 2.501, 728.763 },
1476 { 14.5, 0.960, 508.350 },
1477 { 13.0, 1.502, 1045.155 },
1478 { 11.7, 3.555, 323.505 },
1479 { 12.3, 2.610, 735.877 },
1480 { 15.0, 0.891, 199.072 },
1481 { 11.2, 1.790, 309.278 },
1482 { 10.6, 6.278, 956.289 },
1483 { 9.8, 6.26, 103.09 },
1484 { 9.3, 3.45, 838.97 },
1485 { 6.7, 1.87, 302.16 },
1486 { 7.4, 1.28, 742.99 },
1487 { 7.2, 0.92, 942.06 },
1488 { 5.6, 1.38, 95.98 },
1489 { 6.8, 3.45, 831.86 },
1490 { 4.6, 2.83, 1596.19 },
1491 { 4.0, 1.21, 1169.59 },
1492 { 3.9, 5.99, 213.30 },
1493 { 3.6, 6.11, 405.26 },
1494 { 2.9, 2.33, 1155.36 },
1495 { 2.4, 1.87, 532.87 },
1496 { 2.4, 0.43, 220.41 },
1497 { 2.3, 1.95, 1073.61 },
1498 { 2.3, 0.09, 632.78 },
1499 { 2.2, 1.59, 2118.76 },
1500 { 2.4, 5.97, 1162.47 },
1501 { 2.1, 1.07, 21.34 },
1502 { 2.1, 1.51, 1258.45 },
1503 { 2.5, 0.35, 1272.68 },
1504 { 2.0, 5.94, 110.21 },
1505 { 2.0, 2.55, 88.87 },
1506 { 2.0, 2.16, 433.71 },
1507 { 2.0, 2.70, 721.65 },
1508 { 1.7, 4.46, 853.20 },
1509 { 1.9, 2.26, 1361.55 },
1510 { 1.7, 1.98, 525.76 },
1511 { 1.5, 0.12, 949.18 },
1512 { 2.0, 3.17, 1148.25 },
1513 { 1.7, 2.71, 330.62 },
1514 { 1.6, 0.47, 526.51 },
1515 { 1.2, 3.02, 963.40 },
1516 { 1.7, 0.44, 533.62 },
1517 { 1.2, 1.16, 1574.85 },
1518 { 1.1, 2.55, 846.08 },
1519 { 1.4, 1.17, 1038.04 },
1520 { 1.0, 2.70, 519.40 },
1521 { 1.4, 0.67, 551.03 },
1522 { 1.0, 4.17, 2627.11 },
1523 { 1.1, 1.07, 227.53 },
1524 { 0.9, 2.93, 1368.66 },
1525 { 0.8, 4.87, 611.44 },
1526 { 1.1, 1.79, 1581.96 },
1527 { 0.9, 4.91, 1670.83 },
1528 { 0.9, 3.69, 824.74 },
1529 { 0.8, 3.23, 2125.88 },
1530 { 0.8, 2.39, 2317.84 },
1531 { 0.9, 0.60, 539.99 },
1532 { 0.9, 4.52, 750.10 },
1533 { 0.8, 0.21, 1141.13 },
1534 { 0.8, 0.94, 191.96 },
1535 { 0.8, 2.25, 2538.25 },
1536 { 0.7, 0.67, 440.83 },
1537 { 0.7, 5.80, 1485.98 },
1538 { 0.6, 2.48, 1265.57 },
1539 { 0.6, 6.14, 1279.79 },
1540 { 0.6, 5.51, 2413.82 },
1541 { 0.6, 4.41, 1382.89 },
1542 { 0.6, 2.18, 1062.56 },
1543 { 0.6, 1.93, 2634.23 },
1544 { 0.5, 2.05, 295.05 },
1545 { 0.5, 2.32, 1471.75 },
1546 { 0.7, 2.27, 1699.28 },
1547 { 0.5, 1.96, 1677.94 },
1548 { 0.5, 4.36, 1692.17 },
1549 { 0.5, 2.50, 2207.63 },
1550 { 0.5, 5.77, 1478.87 },
1551 { 0.4, 5.99, 934.95 },
1552 { 0.4, 2.80, 81.75 },
1553 { 0.4, 3.94, 316.39 },
1554 { 0.5, 0.19, 10.29 },
1555 /* 98 terms retained, 0 terms dropped, error 1e-07 a.u.*T^3 */
1556
1557 /* jupiter r, T^4 */
1558 { 128.6, 0.0842, 536.8045 },
1559 { 113.5, 4.2486, 529.6910 },
1560 { 82.7, 3.298, 522.577 },
1561 { 37.9, 2.733, 515.464 },
1562 { 26.7, 5.691, 7.114 },
1563 { 17.6, 5.400, 1059.382 },
1564 { 12.6, 6.016, 543.918 },
1565 { 9.3, 0.77, 1066.50 },
1566 { 8.1, 5.68, 14.23 },
1567 { 6.3, 5.12, 639.90 },
1568 { 7.0, 1.43, 412.37 },
1569 { 5.4, 3.34, 625.67 },
1570 { 2.9, 3.40, 1052.27 },
1571 { 2.6, 4.16, 728.76 },
1572 { 2.6, 2.90, 426.60 },
1573 { 2.3, 6.22, 1589.07 },
1574 { 2.1, 3.12, 1045.15 },
1575 { 1.7, 2.81, 206.19 },
1576 { 1.8, 2.60, 199.07 },
1577 { 1.8, 1.89, 419.48 },
1578 { 1.5, 1.33, 1596.19 },
1579 { 1.7, 0, 0 },
1580 { 1.0, 4.42, 956.29 },
1581 { 1.2, 5.16, 831.86 },
1582 { 0.9, 3.17, 508.35 },
1583 { 0.9, 5.79, 1169.59 },
1584 { 0.9, 1.87, 1148.25 },
1585 { 1.0, 0.67, 1361.55 },
1586 { 0.8, 1.48, 1272.68 },
1587 { 1.0, 5.47, 220.41 },
1588 { 0.8, 2.42, 117.32 },
1589 { 0.7, 0.50, 1073.61 },
1590 { 0.7, 3.53, 302.16 },
1591 { 0.7, 2.85, 191.96 },
1592 { 0.8, 2.20, 942.06 },
1593 { 0.8, 5.31, 551.03 },
1594 { 0.7, 3.72, 88.87 },
1595 { 0.5, 1.83, 647.01 },
1596 { 0.6, 0.86, 330.62 },
1597 { 0.5, 5.26, 21.34 },
1598 { 0.6, 3.82, 618.56 },
1599 { 0.5, 4.44, 110.21 },
1600 { 0.6, 1.59, 3.18 },
1601 { 0.6, 1.84, 10.29 },
1602 { 0.5, 1.53, 405.26 },
1603 { 0.5, 0.24, 433.71 },
1604 /* 46 terms retained, 0 terms dropped, error 7.1e-08 a.u.*T^4 */
1605
1606 /* jupiter r, T^5 */
1607 { 11.2, 4.752, 536.805 },
1608 { 4.3, 5.92, 522.58 },
1609 { 2.1, 5.57, 515.46 },
1610 { 1.9, 4.30, 543.92 },
1611 { 1.9, 3.69, 7.11 },
1612 { 1.6, 5.49, 1066.50 },
1613 { 1.6, 4.13, 1059.38 },
1614 { 1.2, 3.78, 14.23 },
1615 { 1.0, 4.51, 529.69 },
1616 /* 9 terms retained, 0 terms dropped, error 6.5e-08 a.u.*T^5 */
1617 /* end jupiter */
1618};
1619
1620int vn_jupiter[][3] = {
1621 /* addresses for jupiter l, b, r */
1622 /* T^0 */ { 0, 392, 542, },
1623 /* T^1 */ { 109, 428, 672, },
1624 /* T^2 */ { 194, 468, 785, },
1625 /* T^3 */ { 271, 504, 903, },
1626 /* T^4 */ { 341, 526, 1001, },
1627 /* T^5 */ { 383, 538, 1047, },
1628 /* end */ { 392, 542, 1056, },
1629 /* termination */ { 0, }
1630};
1631
1632/* version d4 (lbr)
1633 * heliocentric dynamical ecliptic and equinox of the date
1634 */
1635
1636double vx_mars[][3] = {
1637 /* mars l, T^0 */
1638 { 620347711.6, 0, 0 },
1639 { 18656368.1, 5.050371003, 3340.612426700 },
1640 { 1108216.8, 5.40099837, 6681.22485340 },
1641 { 91798.4, 5.754787, 10021.837280 },
1642 { 27745.0, 5.970495, 3.523118 },
1643 { 10610.2, 2.939585, 2281.230497 },
1644 { 12315.9, 0.849561, 2810.921462 },
1645 { 8926.8, 4.15698, 0.01725 },
1646 { 8715.7, 6.11005, 13362.44971 },
1647 { 6797.6, 0.36462, 398.14900 },
1648 { 7774.9, 3.33969, 5621.84292 },
1649 { 3575.1, 1.66187, 2544.31442 },
1650 { 4161.1, 0.22815, 2942.46342 },
1651 { 3075.2, 0.85697, 191.44827 },
1652 { 2628.1, 0.64806, 3337.08931 },
1653 { 2937.5, 6.07894, 0.06731 },
1654 { 2389.4, 5.03896, 796.29801 },
1655 { 2579.8, 0.02997, 3344.13555 },
1656 { 1528.1, 1.14979, 6151.53389 },
1657 { 1798.8, 0.65634, 529.69097 },
1658 { 1264.4, 3.62275, 5092.15196 },
1659 { 1286.2, 3.06796, 2146.16542 },
1660 { 1546.4, 2.91580, 1751.53953 },
1661 { 1024.9, 3.69334, 8962.45535 },
1662 { 891.6, 0.1829, 16703.0621 },
1663 { 858.8, 2.4009, 2914.0142 },
1664 { 832.7, 2.4642, 3340.5952 },
1665 { 832.7, 4.4950, 3340.6297 },
1666 { 712.9, 3.6634, 1059.3819 },
1667 { 748.7, 3.8225, 155.4204 },
1668 { 723.9, 0.6750, 3738.7614 },
1669 { 635.6, 2.9218, 8432.7644 },
1670 { 655.2, 0.4886, 3127.3133 },
1671 { 550.5, 3.8100, 0.9803 },
1672 { 552.7, 4.4748, 1748.0164 },
1673 { 426.0, 0.5537, 6283.0758 },
1674 { 415.1, 0.4966, 213.2991 },
1675 { 472.2, 3.6255, 1194.4470 },
1676 { 306.6, 0.3805, 6684.7480 },
1677 { 312.1, 0.9985, 6677.7017 },
1678 { 293.2, 4.2213, 20.7754 },
1679 { 302.4, 4.4862, 3532.0607 },
1680 { 274.0, 0.5422, 3340.5451 },
1681 { 281.1, 5.8816, 1349.8674 },
1682 { 231.2, 1.2824, 3870.3034 },
1683 { 283.6, 5.7689, 3149.1642 },
1684 { 236.1, 5.7550, 3333.4989 },
1685 { 274.0, 0.1337, 3340.6797 },
1686 { 299.4, 2.7832, 6254.6267 },
1687 { 204.2, 2.8213, 1221.8486 },
1688 { 238.9, 5.3716, 4136.9104 },
1689 { 188.6, 1.4910, 9492.1463 },
1690 { 221.2, 3.5047, 382.8965 },
1691 { 179.2, 1.0056, 951.7184 },
1692 { 172.1, 0.4394, 5486.7778 },
1693 { 193.1, 3.3572, 3.5904 },
1694 { 144.3, 1.4187, 135.0651 },
1695 { 160.0, 3.9485, 4562.4610 },
1696 { 174.1, 2.4136, 553.5694 },
1697 { 131.0, 4.0449, 12303.0678 },
1698 { 138.2, 4.3015, 7.1135 },
1699 { 128.1, 1.8067, 5088.6288 },
1700 { 139.9, 3.3259, 2700.7151 },
1701 { 128.1, 2.2081, 1592.5960 },
1702 { 116.9, 3.1281, 7903.0734 },
1703 { 110.4, 1.0520, 242.7286 },
1704 { 113.5, 3.7007, 1589.0729 },
1705 { 100.1, 3.2434, 11773.3768 },
1706 { 95.6, 0.540, 20043.675 },
1707 { 98.9, 4.846, 6681.242 },
1708 { 104.5, 0.7854, 8827.3903 },
1709 { 84.2, 3.990, 4399.994 },
1710 { 86.9, 2.202, 11243.686 },
1711 { 71.4, 2.803, 3185.192 },
1712 { 72.1, 5.847, 5884.927 },
1713 { 73.5, 2.184, 8429.241 },
1714 { 98.9, 2.815, 6681.208 },
1715 { 68.4, 2.738, 2288.344 },
1716 { 86.8, 1.021, 7079.374 },
1717 { 65.3, 2.681, 28.449 },
1718 { 83.7, 3.203, 4690.480 },
1719 { 75.0, 0.766, 6467.926 },
1720 { 69.0, 3.764, 6041.328 },
1721 { 66.7, 0.736, 3723.509 },
1722 { 63.3, 4.528, 426.598 },
1723 { 61.7, 6.168, 2274.117 },
1724 { 52.3, 0.899, 9623.688 },
1725 { 55.5, 4.606, 4292.331 },
1726 { 51.3, 4.148, 3341.593 },
1727 { 56.6, 5.063, 15.252 },
1728 { 63.4, 0.913, 3553.912 },
1729 { 45.8, 0.788, 1990.745 },
1730 { 48.5, 3.957, 4535.059 },
1731 { 41.2, 6.020, 3894.182 },
1732 { 41.9, 3.583, 8031.092 },
1733 { 56.4, 1.687, 6872.673 },
1734 { 55.9, 3.463, 263.084 },
1735 { 51.7, 2.813, 3339.632 },
1736 { 40.7, 3.138, 9595.239 },
1737 { 38.1, 0.734, 10025.360 },
1738 { 39.5, 5.632, 3097.884 },
1739 { 44.2, 3.195, 5628.956 },
1740 { 36.7, 2.637, 692.158 },
1741 { 45.9, 0.287, 5614.729 },
1742 { 38.4, 5.829, 3191.049 },
1743 { 38.2, 2.348, 162.467 },
1744 { 32.6, 0.484, 6681.292 },
1745 { 37.1, 0.685, 2818.035 },
1746 { 31.2, 3.982, 20.355 },
1747 { 32.6, 0.893, 6681.158 },
1748 { 37.8, 4.155, 2803.808 },
1749 { 33.6, 6.120, 6489.777 },
1750 { 29.0, 2.427, 3319.837 },
1751 { 38.8, 1.352, 10018.314 },
1752 { 33.1, 1.140, 5.523 },
1753 { 27.6, 1.597, 7210.916 },
1754 { 28.7, 5.721, 7477.523 },
1755 { 34.0, 2.595, 11769.854 },
1756 { 25.4, 0.521, 10.637 },
1757 { 26.4, 1.345, 3496.033 },
1758 { 25.6, 0.250, 522.577 },
1759 { 27.3, 4.556, 3361.388 },
1760 { 27.5, 6.084, 6674.111 },
1761 { 25.5, 3.432, 3443.705 },
1762 /* 124 terms retained, 1093 terms dropped, error 1.2" */
1763
1764 /* mars l, T^1 */
1765 { 334085627474.3, 0, 0 },
1766 { 1458227.1, 3.60426054, 3340.61242670 },
1767 { 164901.3, 3.9263125, 6681.2248534 },
1768 { 19963.3, 4.265941, 10021.837280 },
1769 { 3452.4, 4.73210, 3.52312 },
1770 { 2485.5, 4.61278, 13362.44971 },
1771 { 841.6, 4.4586, 2281.2305 },
1772 { 537.6, 5.0159, 398.1490 },
1773 { 521.0, 4.9942, 3344.1355 },
1774 { 432.6, 2.5607, 191.4483 },
1775 { 429.7, 5.3165, 155.4204 },
1776 { 381.7, 3.5388, 796.2980 },
1777 { 314.1, 4.9634, 16703.0621 },
1778 { 282.8, 3.1597, 2544.3144 },
1779 { 205.7, 4.5689, 2146.1654 },
1780 { 168.8, 1.3289, 3337.0893 },
1781 { 157.6, 4.1850, 1751.5395 },
1782 { 133.7, 2.2333, 0.9803 },
1783 { 116.6, 2.2135, 1059.3819 },
1784 { 117.6, 6.0241, 6151.5339 },
1785 { 113.6, 5.4280, 3738.7614 },
1786 { 133.6, 5.9742, 1748.0164 },
1787 { 91.1, 1.096, 1349.867 },
1788 { 83.3, 5.296, 6684.748 },
1789 { 113.9, 2.1287, 1194.4470 },
1790 { 80.8, 4.428, 529.691 },
1791 { 79.5, 2.249, 8962.455 },
1792 { 72.5, 5.842, 242.729 },
1793 { 72.9, 2.502, 951.718 },
1794 { 71.5, 3.856, 2914.014 },
1795 { 85.3, 3.909, 553.569 },
1796 { 67.6, 5.023, 382.897 },
1797 { 65.1, 1.018, 3340.595 },
1798 { 65.1, 3.049, 3340.630 },
1799 { 61.5, 4.152, 3149.164 },
1800 { 48.5, 4.874, 213.299 },
1801 { 46.6, 1.315, 3185.192 },
1802 { 56.5, 3.888, 4136.910 },
1803 { 47.6, 1.182, 3333.499 },
1804 { 41.3, 0.714, 1592.596 },
1805 { 40.1, 5.316, 20043.675 },
1806 { 40.3, 2.725, 7.114 },
1807 { 32.9, 5.411, 6283.076 },
1808 { 28.2, 0.045, 9492.146 },
1809 { 22.3, 5.885, 3870.303 },
1810 { 22.4, 5.466, 20.355 },
1811 { 22.6, 0.838, 3097.884 },
1812 { 21.4, 5.379, 3340.545 },
1813 { 23.3, 6.168, 3532.061 },
1814 { 26.6, 3.890, 1221.849 },
1815 { 22.8, 1.545, 2274.117 },
1816 { 20.4, 2.364, 1589.073 },
1817 { 20.2, 3.364, 5088.629 },
1818 { 26.6, 5.113, 2700.715 },
1819 { 19.7, 2.578, 12303.068 },
1820 { 19.5, 0.492, 6677.702 },
1821 { 21.1, 3.525, 15.252 },
1822 { 21.4, 4.971, 3340.680 },
1823 { 18.5, 5.579, 1990.745 },
1824 { 17.8, 6.125, 4292.331 },
1825 { 16.5, 2.603, 3341.593 },
1826 { 16.6, 1.255, 3894.182 },
1827 { 19.5, 2.531, 4399.994 },
1828 { 15.0, 1.035, 2288.344 },
1829 { 20.0, 4.731, 4690.480 },
1830 { 15.4, 2.470, 4535.059 },
1831 { 20.0, 5.787, 7079.374 },
1832 { 15.3, 2.265, 3723.509 },
1833 { 14.7, 3.370, 6681.242 },
1834 { 13.5, 2.123, 5486.778 },
1835 { 12.9, 5.619, 10025.360 },
1836 { 12.7, 2.950, 3496.033 },
1837 { 13.6, 1.977, 5614.729 },
1838 { 13.0, 1.514, 5628.956 },
1839 { 14.7, 1.339, 6681.208 },
1840 { 11.4, 6.234, 135.065 },
1841 { 13.3, 3.422, 5621.843 },
1842 { 10.9, 5.282, 2818.035 },
1843 { 11.8, 3.127, 426.598 },
1844 { 10.5, 2.736, 2787.043 },
1845 { 11.1, 5.842, 2803.808 },
1846 { 11.8, 2.586, 8432.764 },
1847 { 11.9, 5.476, 3553.912 },
1848 { 8.5, 1.91, 11773.38 },
1849 { 9.7, 4.53, 6489.78 },
1850 { 8.6, 3.16, 162.47 },
1851 { 11.0, 4.158, 2388.894 },
1852 { 8.1, 1.61, 2957.72 },
1853 { 8.8, 4.23, 7477.52 },
1854 { 8.0, 5.70, 6041.33 },
1855 { 8.3, 2.18, 23.88 },
1856 { 7.7, 5.72, 9623.69 },
1857 { 8.7, 4.44, 5092.15 },
1858 { 8.4, 3.16, 3347.73 },
1859 { 6.7, 5.08, 8031.09 },
1860 { 8.7, 4.33, 3339.63 },
1861 { 7.4, 6.18, 3583.34 },
1862 { 6.4, 2.12, 5884.93 },
1863 /* 98 terms retained, 588 terms dropped, error 0.26"*T */
1864
1865 /* mars l, T^2 */
1866 { 58015.8, 2.049795, 3340.612427 },
1867 { 54187.6, 0, 0 },
1868 { 13908.4, 2.457424, 6681.224853 },
1869 { 2465.1, 2.80000, 10021.83728 },
1870 { 398.4, 3.1412, 13362.4497 },
1871 { 222.0, 3.1944, 3.5231 },
1872 { 121.0, 0.5433, 155.4204 },
1873 { 61.5, 3.485, 16703.062 },
1874 { 53.6, 3.542, 3344.136 },
1875 { 34.3, 6.002, 2281.230 },
1876 { 31.7, 4.140, 191.448 },
1877 { 29.8, 1.999, 796.298 },
1878 { 23.2, 4.334, 242.729 },
1879 { 21.7, 3.445, 398.149 },
1880 { 16.0, 6.110, 2146.165 },
1881 { 20.4, 5.422, 553.569 },
1882 { 14.9, 6.095, 3185.192 },
1883 { 16.2, 0.657, 0.980 },
1884 { 14.3, 2.619, 1349.867 },
1885 { 14.4, 4.019, 951.718 },
1886 { 11.9, 3.861, 6684.748 },
1887 { 15.6, 1.221, 1748.016 },
1888 { 11.3, 4.718, 2544.314 },
1889 { 13.4, 0.602, 1194.447 },
1890 { 10.4, 0.250, 382.897 },
1891 { 9.5, 0.68, 1059.38 },
1892 { 9.2, 3.83, 20043.67 },
1893 { 9.0, 3.88, 3738.76 },
1894 { 7.5, 5.46, 1751.54 },
1895 { 6.5, 5.48, 1592.60 },
1896 { 6.3, 2.34, 3097.88 },
1897 { 6.9, 2.58, 3149.16 },
1898 { 5.9, 1.15, 7.11 },
1899 { 6.7, 2.38, 4136.91 },
1900 { 4.6, 4.43, 6151.53 },
1901 { 4.2, 3.69, 5614.73 },
1902 { 4.8, 2.90, 3333.50 },
1903 { 4.0, 6.12, 5628.96 },
1904 { 3.7, 4.07, 1990.75 },
1905 { 3.6, 2.47, 529.69 },
1906 { 3.3, 0.68, 8962.46 },
1907 { 3.3, 2.80, 3894.18 },
1908 { 3.1, 4.57, 3496.03 },
1909 { 2.9, 5.41, 2914.01 },
1910 { 2.9, 1.23, 2787.04 },
1911 { 2.8, 1.39, 4292.33 },
1912 { 2.6, 1.04, 3341.59 },
1913 { 2.9, 3.41, 3337.09 },
1914 { 2.4, 0.96, 4535.06 },
1915 { 2.4, 4.85, 9492.15 },
1916 { 2.6, 5.75, 3340.60 },
1917 { 2.2, 3.26, 213.30 },
1918 { 2.6, 1.50, 3340.63 },
1919 { 2.3, 4.18, 10025.36 },
1920 { 2.6, 4.68, 3583.34 },
1921 { 2.6, 2.65, 2388.89 },
1922 { 1.8, 0.97, 1589.07 },
1923 { 2.4, 1.05, 4399.99 },
1924 { 2.4, 4.27, 7079.37 },
1925 { 2.2, 0.16, 6525.80 },
1926 { 2.3, 0.01, 4690.48 },
1927 { 1.6, 4.96, 5088.63 },
1928 { 1.6, 1.11, 12303.07 },
1929 { 2.1, 0.48, 2700.72 },
1930 { 1.6, 4.94, 1221.85 },
1931 { 1.8, 3.81, 3723.51 },
1932 { 1.8, 2.52, 2810.92 },
1933 /* 67 terms retained, 243 terms dropped, error 0.06"*T^2 */
1934
1935 /* mars l, T^3 */
1936 { 1482.4, 0.44435, 3340.61243 },
1937 { 662.1, 0.8847, 6681.2249 },
1938 { 188.3, 1.2880, 10021.8373 },
1939 { 41.5, 1.649, 13362.450 },
1940 { 22.7, 2.053, 155.420 },
1941 { 26.0, 0, 0 },
1942 { 8.0, 2.00, 16703.06 },
1943 { 10.5, 1.580, 3.523 },
1944 { 4.9, 2.82, 242.73 },
1945 { 3.8, 2.02, 3344.14 },
1946 { 3.2, 4.59, 3185.19 },
1947 { 3.1, 0.65, 553.57 },
1948 { 1.7, 5.54, 951.72 },
1949 { 1.5, 5.72, 191.45 },
1950 { 1.4, 0.46, 796.30 },
1951 { 1.4, 2.34, 20043.67 },
1952 { 1.3, 5.36, 0.98 },
1953 { 1.2, 4.15, 1349.87 },
1954 { 1.1, 2.38, 6684.75 },
1955 { 1.0, 1.77, 382.90 },
1956 { 0.9, 5.34, 1194.45 },
1957 { 0.8, 2.75, 1748.02 },
1958 { 0.6, 6.11, 3496.03 },
1959 { 0.6, 1.85, 398.15 },
1960 { 0.6, 5.86, 7.11 },
1961 { 0.6, 3.18, 3583.34 },
1962 { 0.5, 5.98, 2787.04 },
1963 { 0.5, 1.01, 3149.16 },
1964 { 0.5, 4.93, 6525.80 },
1965 { 0.4, 1.27, 2281.23 },
1966 { 0.4, 2.33, 3738.76 },
1967 { 0.5, 0.84, 4136.91 },
1968 /* 32 terms retained, 97 terms dropped, error 0.011"*T^3 */
1969
1970 /* mars l, T^4 */
1971 { 114.0, 3.1416, 0 },
1972 { 28.7, 5.637, 6681.225 },
1973 { 24.4, 5.139, 3340.612 },
1974 { 11.2, 6.032, 10021.837 },
1975 { 3.2, 3.56, 155.42 },
1976 { 3.3, 0.13, 13362.45 },
1977 { 0.8, 0.49, 16703.06 },
1978 { 0.8, 1.32, 242.73 },
1979 { 0.5, 3.06, 3185.19 },
1980 { 0.4, 2.16, 553.57 },
1981 { 0.3, 6.23, 3.52 },
1982 { 0.2, 0.44, 3344.14 },
1983 { 0.2, 0.82, 20043.67 },
1984 { 0.2, 3.74, 3496.03 },
1985 { 0.1, 1.67, 3583.34 },
1986 /* 15 terms retained, 21 terms dropped, error 0.0019"*T^4 */
1987
1988 /* mars l, T^5 */
1989 { 0.7, 4.04, 6681.22 },
1990 { 0.9, 3.14, 0 },
1991 { 0.5, 4.49, 10021.84 },
1992 { 0.4, 5.07, 155.42 },
1993 { 0.2, 3.51, 3340.61 },
1994 { 0.2, 4.85, 13362.45 },
1995 { 0.1, 6.09, 242.73 },
1996 /* 7 terms retained, 8 terms dropped, error 0.0012"*T^5 */
1997 /* end mars l */
1998
1999 /* mars b, T^0 */
2000 { 3197135.0, 3.76832042, 3340.61242670 },
2001 { 298033.2, 4.1061700, 6681.2248534 },
2002 { 289104.7, 0, 0 },
2003 { 31365.5, 4.446511, 10021.837280 },
2004 { 3484.1, 4.78813, 13362.44971 },
2005 { 443.0, 5.6523, 3337.0893 },
2006 { 443.4, 5.0264, 3344.1355 },
2007 { 399.1, 5.1306, 16703.0621 },
2008 { 292.5, 3.7929, 2281.2305 },
2009 { 182.0, 6.1365, 6151.5339 },
2010 { 163.2, 4.2640, 529.6910 },
2011 { 159.7, 2.2319, 1059.3819 },
2012 { 139.3, 2.4180, 8962.4553 },
2013 { 149.3, 2.1650, 5621.8429 },
2014 { 142.7, 1.1822, 3340.5952 },
2015 { 142.7, 3.2129, 3340.6297 },
2016 { 82.5, 5.367, 6684.748 },
2017 { 73.6, 5.092, 398.149 },
2018 { 72.7, 5.538, 6283.076 },
2019 { 86.4, 5.744, 3738.761 },
2020 { 83.3, 5.989, 6677.702 },
2021 { 60.1, 3.680, 796.298 },
2022 { 63.1, 0.730, 5884.927 },
2023 { 62.3, 4.851, 2942.463 },
2024 { 47.0, 5.543, 3340.545 },
2025 { 47.0, 5.135, 3340.680 },
2026 { 46.6, 5.474, 20043.675 },
2027 { 45.6, 2.133, 2810.921 },
2028 { 41.3, 0.200, 9492.146 },
2029 { 47.2, 4.522, 3149.164 },
2030 { 38.5, 4.080, 4136.910 },
2031 { 33.1, 4.066, 1751.540 },
2032 { 29.7, 5.922, 3532.061 },
2033 { 32.7, 2.621, 2914.014 },
2034 { 29.5, 2.753, 12303.068 },
2035 { 28.2, 2.063, 5486.778 },
2036 { 28.6, 4.947, 3870.303 },
2037 { 26.6, 3.551, 6681.242 },
2038 { 26.6, 1.520, 6681.208 },
2039 { 26.1, 2.601, 4399.994 },
2040 /* 40 terms retained, 401 terms dropped, error 0.69" */
2041
2042 /* mars b, T^1 */
2043 { 350068.8, 5.3684784, 3340.6124267 },
2044 { 14116.0, 3.141593, 0 },
2045 { 9670.8, 5.47878, 6681.22485 },
2046 { 1471.9, 3.20206, 10021.83728 },
2047 { 425.9, 3.4084, 13362.4497 },
2048 { 102.0, 0.7762, 3337.0893 },
2049 { 78.8, 3.718, 16703.062 },
2050 { 26.2, 2.483, 2281.230 },
2051 { 32.7, 3.458, 5621.843 },
2052 { 20.7, 1.441, 6151.534 },
2053 { 18.3, 6.031, 529.691 },
2054 { 15.7, 3.931, 8962.455 },
2055 { 17.0, 4.811, 3344.136 },
2056 { 13.1, 0.973, 6677.702 },
2057 { 15.6, 2.782, 3340.595 },
2058 { 15.6, 4.813, 3340.630 },
2059 { 13.8, 1.680, 3532.061 },
2060 { 12.7, 4.045, 20043.675 },
2061 { 14.3, 0.246, 2942.463 },
2062 { 12.5, 2.256, 5884.927 },
2063 { 8.8, 0.34, 398.15 },
2064 { 8.6, 1.75, 2544.31 },
2065 { 8.9, 5.95, 2810.92 },
2066 { 8.1, 0.84, 6283.08 },
2067 { 9.2, 4.35, 3496.03 },
2068 { 8.1, 4.30, 6684.75 },
2069 /* 26 terms retained, 261 terms dropped, error 0.17"*T */
2070
2071 /* mars b, T^2 */
2072 { 16726.7, 0.602214, 3340.612427 },
2073 { 4986.8, 3.14159, 0 },
2074 { 302.1, 5.5587, 6681.2249 },
2075 { 25.8, 1.897, 13362.450 },
2076 { 21.5, 0.917, 10021.837 },
2077 { 11.8, 2.242, 3337.089 },
2078 { 8.0, 2.25, 16703.06 },
2079 { 3.0, 5.89, 3496.03 },
2080 { 2.4, 5.19, 5621.84 },
2081 { 1.8, 2.59, 20043.67 },
2082 /* 10 terms retained, 120 terms dropped, error 0.024"*T^2 */
2083
2084 /* mars b, T^3 */
2085 { 606.5, 1.9805, 3340.6124 },
2086 { 42.6, 0, 0 },
2087 { 13.7, 1.796, 6681.225 },
2088 { 2.7, 3.45, 10021.84 },
2089 { 0.9, 3.75, 3337.09 },
2090 { 0.6, 0.11, 13362.45 },
2091 { 0.6, 1.14, 3496.03 },
2092 { 0.5, 0.71, 16703.06 },
2093 /* 8 terms retained, 33 terms dropped, error 0.0059"*T^3 */
2094
2095 /* mars b, T^4 */
2096 { 11.3, 3.457, 3340.612 },
2097 { 13.4, 0, 0 },
2098 { 0.7, 0.50, 6681.22 },
2099 { 0.1, 1.05, 10021.84 },
2100 { 0.1, 2.66, 3496.03 },
2101 /* 5 terms retained, 6 terms dropped, error 0.001"*T^4 */
2102
2103 /* mars b, T^5 */
2104 { 0.5, 4.87, 3340.61 },
2105 /* 1 terms retained, 4 terms dropped, error 0.0027"*T^5 */
2106 /* end mars b */
2107
2108 /* mars r, T^0 */
2109 { 153033488.3, 0, 0 },
2110 { 14184953.2, 3.479712835, 3340.612426700 },
2111 { 660776.4, 3.8178344, 6681.2248534 },
2112 { 46179.1, 4.155953, 10021.837280 },
2113 { 8109.7, 5.55958, 2810.92146 },
2114 { 7485.3, 1.77239, 5621.84292 },
2115 { 5523.2, 1.36436, 2281.23050 },
2116 { 3825.2, 4.49407, 13362.44971 },
2117 { 2306.5, 0.09082, 2544.31442 },
2118 { 1999.4, 5.36060, 3337.08931 },
2119 { 2484.4, 4.92546, 2942.46342 },
2120 { 1960.2, 4.74249, 3344.13555 },
2121 { 1167.1, 2.11262, 5092.15196 },
2122 { 1102.8, 5.00908, 398.14900 },
2123 { 899.1, 4.4079, 529.6910 },
2124 { 992.3, 5.8386, 6151.5339 },
2125 { 807.3, 2.1022, 1059.3819 },
2126 { 797.9, 3.4484, 796.2980 },
2127 { 741.0, 1.4991, 2146.1654 },
2128 { 692.3, 2.1338, 8962.4553 },
2129 { 633.1, 0.8935, 3340.5952 },
2130 { 725.6, 1.2452, 8432.7644 },
2131 { 633.1, 2.9243, 3340.6297 },
2132 { 574.4, 0.8290, 2914.0142 },
2133 { 526.2, 5.3829, 3738.7614 },
2134 { 630.0, 1.2874, 1751.5395 },
2135 { 472.8, 5.1985, 3127.3133 },
2136 { 348.1, 4.8322, 16703.0621 },
2137 { 283.7, 2.9069, 3532.0607 },
2138 { 279.6, 5.2575, 6283.0758 },
2139 { 233.8, 5.1055, 5486.7778 },
2140 { 219.4, 5.5834, 191.4483 },
2141 { 269.9, 3.7639, 5884.9268 },
2142 { 208.3, 5.2548, 3340.5451 },
2143 { 275.2, 2.9082, 1748.0164 },
2144 { 275.5, 1.2177, 6254.6267 },
2145 { 239.1, 2.0367, 1194.4470 },
2146 { 223.2, 4.1986, 3149.1642 },
2147 { 182.7, 5.0806, 6684.7480 },
2148 { 186.2, 5.6987, 6677.7017 },
2149 { 176.0, 5.9534, 3870.3034 },
2150 { 178.6, 4.1842, 3333.4989 },
2151 { 208.3, 4.8463, 3340.6797 },
2152 { 228.1, 3.2553, 6872.6731 },
2153 { 144.3, 0.2130, 5088.6288 },
2154 { 163.5, 3.7989, 4136.9104 },
2155 { 133.1, 1.5391, 7903.0734 },
2156 { 141.8, 2.4779, 4562.4610 },
2157 { 114.9, 4.3175, 1349.8674 },
2158 { 118.8, 2.1218, 1589.0729 },
2159 { 102.1, 6.1814, 9492.1463 },
2160 { 128.6, 5.4988, 8827.3903 },
2161 { 111.5, 0.5534, 11243.6858 },
2162 { 82.5, 1.622, 11773.377 },
2163 { 83.2, 0.616, 8429.241 },
2164 { 84.5, 0.623, 1592.596 },
2165 { 86.7, 1.750, 2700.715 },
2166 { 71.8, 2.475, 12303.068 },
2167 { 85.3, 1.616, 4690.480 },
2168 { 63.6, 2.673, 426.598 },
2169 { 68.6, 2.402, 4399.994 },
2170 { 58.6, 4.721, 213.299 },
2171 { 62.0, 1.101, 1221.849 },
2172 { 66.5, 2.213, 6041.328 },
2173 { 55.8, 1.233, 3185.192 },
2174 { 55.0, 5.727, 951.718 },
2175 { 52.4, 3.024, 4292.331 },
2176 { 55.7, 5.447, 3723.509 },
2177 { 59.0, 3.262, 6681.242 },
2178 { 44.6, 2.015, 8031.092 },
2179 { 59.0, 1.232, 6681.208 },
2180 { 42.4, 2.266, 155.420 },
2181 { 39.0, 2.578, 3341.593 },
2182 { 51.6, 5.723, 7079.374 },
2183 { 48.9, 5.616, 3553.912 },
2184 { 45.4, 5.433, 6467.926 },
2185 { 36.4, 4.439, 3894.182 },
2186 { 36.0, 1.160, 2288.344 },
2187 { 35.3, 5.490, 1990.745 },
2188 { 42.2, 1.633, 5628.956 },
2189 { 44.3, 5.003, 5614.729 },
2190 { 33.6, 5.170, 20043.675 },
2191 { 43.3, 1.037, 11769.854 },
2192 { 39.2, 1.242, 3339.632 },
2193 { 31.9, 4.593, 2274.117 },
2194 { 30.3, 2.442, 11371.705 },
2195 { 32.3, 2.382, 4535.059 },
2196 { 31.9, 4.375, 3.523 },
2197 { 29.3, 4.060, 3097.884 },
2198 { 32.0, 1.940, 382.897 },
2199 { 26.2, 5.585, 9623.688 },
2200 { 27.9, 4.258, 3191.049 },
2201 { 33.1, 0.855, 553.569 },
2202 { 27.5, 1.577, 9595.239 },
2203 { 25.2, 0.814, 10713.995 },
2204 /* 95 terms retained, 1023 terms dropped, error 4.9e-06 a.u. */
2205
2206 /* mars r, T^1 */
2207 { 1107433.3, 2.03250525, 3340.61242670 },
2208 { 103175.9, 2.3707185, 6681.2248534 },
2209 { 12877.2, 0, 0 },
2210 { 10815.9, 2.708881, 10021.837280 },
2211 { 1194.5, 3.04702, 13362.44971 },
2212 { 438.6, 2.8884, 2281.2305 },
2213 { 395.7, 3.4232, 3344.1355 },
2214 { 182.6, 1.5843, 2544.3144 },
2215 { 135.8, 3.3851, 16703.0621 },
2216 { 128.2, 0.6299, 1059.3819 },
2217 { 127.1, 1.9539, 796.2980 },
2218 { 118.4, 2.9976, 2146.1654 },
2219 { 128.4, 6.0434, 3337.0893 },
2220 { 87.5, 3.421, 398.149 },
2221 { 83.0, 3.856, 3738.761 },
2222 { 75.6, 4.451, 6151.534 },
2223 { 72.0, 2.764, 529.691 },
2224 { 66.5, 2.549, 1751.540 },
2225 { 54.3, 0.678, 8962.455 },
2226 { 51.0, 3.726, 6684.748 },
2227 { 66.4, 4.406, 1748.016 },
2228 { 47.9, 2.285, 2914.014 },
2229 { 49.4, 5.730, 3340.595 },
2230 { 49.4, 1.477, 3340.630 },
2231 { 57.5, 0.544, 1194.447 },
2232 { 48.3, 2.581, 3149.164 },
2233 { 36.4, 6.027, 3185.192 },
2234 { 37.2, 5.814, 1349.867 },
2235 { 36.0, 5.895, 3333.499 },
2236 { 31.1, 0.978, 191.448 },
2237 { 39.0, 2.319, 4136.910 },
2238 { 27.2, 5.414, 1592.596 },
2239 { 24.3, 3.758, 155.420 },
2240 { 22.8, 1.748, 5088.629 },
2241 { 22.3, 0.939, 951.718 },
2242 { 21.7, 3.836, 6283.076 },
2243 { 21.3, 0.780, 1589.073 },
2244 { 21.6, 4.569, 3532.061 },
2245 { 18.0, 4.219, 3870.303 },
2246 { 18.2, 0.413, 5486.778 },
2247 { 16.3, 3.808, 3340.545 },
2248 { 16.8, 5.549, 3097.884 },
2249 { 16.9, 4.537, 4292.331 },
2250 { 15.8, 4.757, 9492.146 },
2251 { 15.7, 3.724, 20043.675 },
2252 { 20.4, 3.135, 4690.480 },
2253 { 14.7, 5.953, 3894.182 },
2254 { 16.3, 3.399, 3340.680 },
2255 { 14.3, 3.999, 1990.745 },
2256 { 16.5, 0.968, 4399.994 },
2257 { 13.0, 5.142, 6677.702 },
2258 { 12.5, 1.032, 3341.593 },
2259 { 16.5, 3.539, 2700.715 },
2260 { 16.2, 2.349, 553.569 },
2261 { 13.2, 0.415, 5614.729 },
2262 { 11.3, 1.024, 12303.068 },
2263 { 12.4, 6.231, 5628.956 },
2264 { 12.7, 0.690, 3723.509 },
2265 { 11.8, 6.253, 2274.117 },
2266 { 10.4, 1.233, 426.598 },
2267 { 11.2, 1.318, 3496.033 },
2268 { 10.3, 0.901, 4535.059 },
2269 { 12.2, 4.223, 7079.374 },
2270 { 9.8, 3.45, 382.90 },
2271 { 8.6, 1.16, 2787.04 },
2272 { 7.9, 5.74, 2288.34 },
2273 { 9.2, 1.82, 6681.24 },
2274 { 7.8, 4.15, 6041.33 },
2275 { 9.2, 6.07, 6681.21 },
2276 { 9.0, 2.58, 2388.89 },
2277 { 6.8, 0.24, 11773.38 },
2278 { 7.1, 3.51, 8031.09 },
2279 { 9.2, 3.90, 3553.91 },
2280 { 6.7, 4.26, 242.73 },
2281 { 7.2, 3.70, 2818.04 },
2282 { 6.5, 0.04, 2957.72 },
2283 { 8.8, 2.20, 1221.85 },
2284 { 6.5, 2.12, 8429.24 },
2285 { 6.8, 4.05, 10025.36 },
2286 { 7.3, 4.27, 2803.81 },
2287 { 7.7, 1.01, 8432.76 },
2288 { 6.3, 1.90, 5621.84 },
2289 { 6.3, 1.60, 3347.73 },
2290 { 6.5, 2.76, 3339.63 },
2291 /* 84 terms retained, 512 terms dropped, error 1.2e-06 a.u.*T */
2292
2293 /* mars r, T^2 */
2294 { 44242.2, 0.479306, 3340.612427 },
2295 { 8138.0, 0.86998, 6681.22485 },
2296 { 1274.9, 1.22594, 10021.83728 },
2297 { 187.4, 1.5730, 13362.4497 },
2298 { 40.7, 1.971, 3344.136 },
2299 { 52.4, 3.142, 0 },
2300 { 26.6, 1.917, 16703.062 },
2301 { 17.8, 4.435, 2281.230 },
2302 { 11.7, 4.525, 3185.192 },
2303 { 10.2, 5.391, 1059.382 },
2304 { 9.9, 0.42, 796.30 },
2305 { 9.2, 4.54, 2146.17 },
2306 { 7.3, 3.14, 2544.31 },
2307 { 7.2, 2.29, 6684.75 },
2308 { 6.8, 5.27, 155.42 },
2309 { 6.5, 2.31, 3738.76 },
2310 { 7.8, 5.93, 1748.02 },
2311 { 5.8, 1.05, 1349.87 },
2312 { 6.7, 5.30, 1194.45 },
2313 { 4.7, 0.77, 3097.88 },
2314 { 5.4, 1.00, 3149.16 },
2315 { 4.4, 2.46, 951.72 },
2316 { 4.3, 3.90, 1592.60 },
2317 { 3.5, 1.85, 398.15 },
2318 { 3.7, 2.26, 20043.67 },
2319 { 3.4, 3.82, 1751.54 },
2320 { 4.6, 0.81, 4136.91 },
2321 { 3.2, 2.12, 5614.73 },
2322 { 3.6, 1.32, 3333.50 },
2323 { 2.9, 1.19, 529.69 },
2324 { 3.0, 2.86, 6151.53 },
2325 { 3.1, 4.55, 5628.96 },
2326 { 2.9, 1.20, 3894.18 },
2327 { 3.9, 3.86, 553.57 },
2328 { 2.8, 2.49, 1990.75 },
2329 { 2.7, 6.07, 4292.33 },
2330 { 2.7, 2.92, 3496.03 },
2331 { 2.4, 5.94, 2787.04 },
2332 { 2.3, 2.56, 191.45 },
2333 { 2.2, 5.37, 8962.46 },
2334 { 2.1, 2.75, 242.73 },
2335 { 2.2, 1.85, 3337.09 },
2336 { 2.0, 5.76, 3341.59 },
2337 { 2.0, 3.82, 2914.01 },
2338 { 1.8, 5.69, 1589.07 },
2339 { 1.8, 3.32, 5088.63 },
2340 { 2.4, 4.68, 4690.48 },
2341 { 2.0, 4.17, 3340.60 },
2342 { 2.0, 6.21, 3340.63 },
2343 { 1.6, 5.68, 4535.06 },
2344 { 2.2, 1.07, 2388.89 },
2345 { 2.0, 3.11, 3583.34 },
2346 { 2.0, 5.76, 4399.99 },
2347 /* 53 terms retained, 260 terms dropped, error 2.9e-07 a.u.*T^2 */
2348
2349 /* mars r, T^3 */
2350 { 1113.1, 5.14987, 3340.61243 },
2351 { 424.4, 5.6134, 6681.2249 },
2352 { 100.0, 5.9973, 10021.8373 },
2353 { 19.6, 0.076, 13362.450 },
2354 { 3.5, 0.43, 16703.06 },
2355 { 4.7, 3.14, 0 },
2356 { 2.9, 0.45, 3344.14 },
2357 { 2.4, 3.02, 3185.19 },
2358 { 0.7, 0.81, 6684.75 },
2359 { 0.5, 3.87, 1059.38 },
2360 { 0.6, 0.78, 20043.67 },
2361 { 0.5, 4.52, 3496.03 },
2362 { 0.5, 1.61, 3583.34 },
2363 { 0.4, 5.72, 3149.16 },
2364 /* 14 terms retained, 97 terms dropped, error 3.1e-08 a.u.*T^3 */
2365
2366 /* mars r, T^4 */
2367 { 19.6, 3.582, 3340.612 },
2368 { 16.3, 4.051, 6681.225 },
2369 { 5.8, 4.46, 10021.84 },
2370 { 1.5, 4.84, 13362.45 },
2371 { 0.4, 1.51, 3185.19 },
2372 { 0.3, 5.21, 16703.06 },
2373 { 0.2, 5.16, 3344.14 },
2374 { 0.1, 2.19, 3496.03 },
2375 { 0.1, 0, 0 },
2376 /* 9 terms retained, 19 terms dropped, error 9.4e-09 a.u.*T^4 */
2377
2378 /* mars r, T^5 */
2379 { 0.5, 2.48, 6681.22 },
2380 { 0.3, 2.92, 10021.84 },
2381 { 0.1, 1.77, 3340.61 },
2382 /* 3 terms retained, 6 terms dropped, error 4.6e-09 a.u.*T^5 */
2383 /* end mars */
2384};
2385
2386int vn_mars[][3] = {
2387 /* addresses for mars l, b, r */
2388 /* T^0 */ { 0, 343, 433, },
2389 /* T^1 */ { 124, 383, 528, },
2390 /* T^2 */ { 222, 409, 612, },
2391 /* T^3 */ { 289, 419, 665, },
2392 /* T^4 */ { 321, 427, 679, },
2393 /* T^5 */ { 336, 432, 688, },
2394 /* end */ { 343, 433, 691, },
2395 /* termination */ { 0, }
2396};
2397
2398/* version d4 (lbr)
2399 * heliocentric dynamical ecliptic and equinox of the date
2400 */
2401
2402double vx_mercury[][3] = {
2403 /* mercury l, T^0 */
2404 { 440250710.1, 0, 0 },
2405 { 40989415.0, 1.483020342, 26087.903141574 },
2406 { 5046294.2, 4.47785490, 52175.80628315 },
2407 { 855346.8, 1.1652032, 78263.7094247 },
2408 { 165590.4, 4.1196916, 104351.6125663 },
2409 { 34561.9, 0.779308, 130439.515708 },
2410 { 7583.5, 3.71348, 156527.41885 },
2411 { 3559.7, 1.51203, 1109.37855 },
2412 { 1726.0, 0.35832, 182615.32199 },
2413 { 1803.5, 4.10333, 5661.33205 },
2414 { 1364.7, 4.59918, 27197.28169 },
2415 { 1589.9, 2.99510, 25028.52121 },
2416 { 1017.3, 0.88031, 31749.23519 },
2417 { 714.2, 1.5414, 24978.5246 },
2418 { 643.8, 5.3027, 21535.9496 },
2419 { 404.2, 3.2823, 208703.2251 },
2420 { 352.4, 5.2416, 20426.5711 },
2421 { 343.3, 5.7653, 955.5997 },
2422 { 339.2, 5.8633, 25558.2122 },
2423 { 451.1, 6.0499, 51116.4244 },
2424 { 325.3, 1.3367, 53285.1848 },
2425 { 259.6, 0.9873, 4551.9535 },
2426 { 345.2, 2.7921, 15874.6176 },
2427 { 272.9, 2.4945, 529.6910 },
2428 { 234.8, 0.2667, 11322.6641 },
2429 { 238.8, 0.1134, 1059.3819 },
2430 { 264.3, 3.9171, 57837.1383 },
2431 { 216.6, 0.6599, 13521.7514 },
2432 { 183.4, 2.6288, 27043.5029 },
2433 { 176.0, 4.5364, 51066.4277 },
2434 { 181.6, 2.4341, 25661.3050 },
2435 { 209.0, 2.0918, 47623.8528 },
2436 { 172.6, 2.4520, 24498.8302 },
2437 { 142.3, 3.3600, 37410.5672 },
2438 { 137.9, 0.2910, 10213.2855 },
2439 { 118.2, 2.7815, 77204.3275 },
2440 { 96.9, 6.204, 234791.128 },
2441 { 125.2, 3.7208, 39609.6546 },
2442 { 86.8, 2.642, 51646.115 },
2443 { 86.7, 1.960, 46514.474 },
2444 { 88.3, 5.413, 26617.594 },
2445 { 106.4, 4.2057, 19804.8273 },
2446 { 90.0, 5.852, 41962.521 },
2447 { 85.0, 4.331, 79373.088 },
2448 { 69.2, 4.194, 19.670 },
2449 { 63.5, 3.147, 7238.676 },
2450 { 68.5, 0.634, 83925.041 },
2451 { 69.7, 3.572, 25132.303 },
2452 { 59.5, 2.747, 16983.996 },
2453 { 64.8, 0.048, 33326.579 },
2454 { 55.4, 4.053, 30639.857 },
2455 { 54.4, 3.143, 27147.285 },
2456 { 47.6, 5.497, 3.881 },
2457 { 49.6, 3.990, 6770.711 },
2458 { 56.5, 5.119, 73711.756 },
2459 { 41.8, 5.642, 53131.406 },
2460 { 51.5, 5.478, 50586.733 },
2461 { 44.7, 1.224, 77154.331 },
2462 { 41.9, 5.193, 6283.076 },
2463 { 38.0, 2.431, 12566.152 },
2464 { 35.6, 0.814, 32858.614 },
2465 { 48.0, 5.493, 51749.208 },
2466 { 35.4, 3.370, 36301.189 },
2467 { 34.0, 2.786, 14765.239 },
2468 { 30.6, 5.840, 43071.899 },
2469 { 36.0, 1.424, 2218.757 },
2470 { 34.0, 0.475, 65697.558 },
2471 { 30.8, 5.770, 103292.231 },
2472 { 28.5, 0.650, 426.598 },
2473 { 26.2, 5.242, 22645.328 },
2474 { 26.3, 0.648, 1589.073 },
2475 { 29.5, 0.698, 213.299 },
2476 { 27.5, 0.980, 45892.730 },
2477 { 26.8, 1.061, 3442.575 },
2478 { 27.1, 0.085, 63498.470 },
2479 /* 75 terms retained, 1305 terms dropped, error 0.97" */
2480
2481 /* mercury l, T^1 */
2482 { 2608814706222.7, 0, 0 },
2483 { 1126007.8, 6.21703971, 26087.90314157 },
2484 { 303471.4, 3.0556547, 52175.8062831 },
2485 { 80538.5, 6.104547, 78263.709425 },
2486 { 21245.0, 2.835319, 104351.612566 },
2487 { 5592.1, 5.82676, 130439.51571 },
2488 { 1472.2, 2.51845, 156527.41885 },
2489 { 352.2, 3.0524, 1109.3786 },
2490 { 388.3, 5.4804, 182615.3220 },
2491 { 93.5, 6.118, 27197.282 },
2492 { 90.6, 0.000, 24978.525 },
2493 { 102.7, 2.1488, 208703.2251 },
2494 { 51.9, 5.621, 5661.332 },
2495 { 44.4, 4.573, 25028.521 },
2496 { 28.1, 3.042, 51066.428 },
2497 { 22.0, 0.865, 955.600 },
2498 { 27.3, 5.092, 234791.128 },
2499 { 20.4, 3.715, 20426.571 },
2500 { 20.2, 0.519, 21535.950 },
2501 { 17.5, 5.727, 4551.953 },
2502 { 16.7, 1.351, 529.691 },
2503 { 15.3, 1.792, 11322.664 },
2504 { 15.4, 5.743, 19.670 },
2505 { 14.0, 3.594, 24498.830 },
2506 { 12.8, 2.696, 53285.185 },
2507 { 12.6, 3.895, 3.881 },
2508 { 12.6, 4.705, 1059.382 },
2509 { 8.0, 4.18, 26617.59 },
2510 { 7.9, 0.50, 46514.47 },
2511 { 8.0, 3.93, 27043.50 },
2512 { 7.7, 2.48, 57837.14 },
2513 { 8.6, 6.06, 77154.33 },
2514 { 6.8, 2.77, 7.11 },
2515 { 6.6, 5.53, 6770.71 },
2516 { 7.3, 1.75, 260879.03 },
2517 { 7.2, 2.98, 2218.76 },
2518 { 6.4, 2.14, 25132.30 },
2519 /* 37 terms retained, 802 terms dropped, error 0.16"*T */
2520
2521 /* mercury l, T^2 */
2522 { 53049.8, 0, 0 },
2523 { 16903.7, 4.690723, 26087.903142 },
2524 { 7396.7, 1.34736, 52175.80628 },
2525 { 3018.3, 4.45644, 78263.70942 },
2526 { 1107.4, 1.26227, 104351.61257 },
2527 { 378.2, 4.3200, 130439.5157 },
2528 { 123.0, 1.0687, 156527.4188 },
2529 { 38.7, 4.080, 182615.322 },
2530 { 14.9, 4.633, 1109.379 },
2531 { 11.9, 0.792, 208703.225 },
2532 { 5.2, 4.72, 24978.52 },
2533 { 3.6, 3.77, 234791.13 },
2534 { 2.6, 1.44, 27197.28 },
2535 { 2.0, 1.50, 51066.43 },
2536 /* 14 terms retained, 381 terms dropped, error 0.033"*T^2 */
2537
2538 /* mercury l, T^3 */
2539 { 188.1, 0.0347, 52175.8063 },
2540 { 142.2, 3.1251, 26087.9031 },
2541 { 96.9, 3.004, 78263.709 },
2542 { 43.7, 6.019, 104351.613 },
2543 { 35.4, 0, 0 },
2544 { 18.0, 2.775, 130439.516 },
2545 { 7.0, 5.82, 156527.42 },
2546 { 2.6, 2.57, 182615.32 },
2547 { 0.9, 5.59, 208703.23 },
2548 /* 9 terms retained, 144 terms dropped, error 0.012"*T^3 */
2549
2550 /* mercury l, T^4 */
2551 { 114.1, 3.1416, 0 },
2552 { 3.2, 2.03, 26087.90 },
2553 { 1.9, 1.42, 78263.71 },
2554 { 1.7, 4.50, 52175.81 },
2555 { 1.2, 4.50, 104351.61 },
2556 { 0.6, 1.27, 130439.52 },
2557 { 0.3, 4.31, 156527.42 },
2558 { 0.1, 1.06, 182615.32 },
2559 /* 8 terms retained, 20 terms dropped, error 0.0016"*T^4 */
2560
2561 /* mercury l, T^5 */
2562 { 0.9, 3.14, 0 },
2563 /* 1 terms retained, 12 terms dropped, error 0.0051"*T^5 */
2564 /* end mercury l */
2565
2566 /* mercury b, T^0 */
2567 { 11737529.0, 1.983574988, 26087.903141574 },
2568 { 2388077.0, 5.03738960, 52175.80628315 },
2569 { 1222839.5, 3.14159265, 0 },
2570 { 543251.8, 1.7964436, 78263.7094247 },
2571 { 129778.8, 4.8323250, 104351.6125663 },
2572 { 31866.9, 1.580885, 130439.515708 },
2573 { 7963.3, 4.60972, 156527.41885 },
2574 { 2014.2, 1.35324, 182615.32199 },
2575 { 514.0, 4.3784, 208703.2251 },
2576 { 207.7, 4.9177, 27197.2817 },
2577 { 208.6, 2.0202, 24978.5246 },
2578 { 132.0, 1.1191, 234791.1283 },
2579 { 100.5, 5.6568, 20426.5711 },
2580 { 121.4, 1.8127, 53285.1848 },
2581 { 91.6, 2.282, 25028.521 },
2582 { 99.2, 0.094, 51116.424 },
2583 { 94.6, 1.242, 31749.235 },
2584 { 78.8, 4.407, 57837.138 },
2585 { 77.7, 0.526, 1059.382 },
2586 { 84.3, 5.085, 51066.428 },
2587 { 49.9, 3.498, 5661.332 },
2588 { 46.5, 3.237, 77204.327 },
2589 { 44.8, 4.878, 79373.088 },
2590 { 40.8, 2.466, 46514.474 },
2591 { 37.4, 4.458, 4551.953 },
2592 { 34.1, 4.142, 260879.031 },
2593 { 35.9, 1.091, 1109.379 },
2594 { 32.0, 1.185, 83925.041 },
2595 { 31.0, 3.503, 21535.950 },
2596 { 31.8, 2.415, 47623.853 },
2597 { 28.7, 1.848, 77154.331 },
2598 { 25.8, 2.776, 27043.503 },
2599 { 25.2, 3.591, 27147.285 },
2600 /* 33 terms retained, 785 terms dropped, error 0.61" */
2601
2602 /* mercury b, T^1 */
2603 { 429151.4, 3.5016978, 26087.9031416 },
2604 { 146233.7, 3.1415927, 0 },
2605 { 22675.3, 0.015154, 52175.806283 },
2606 { 10895.0, 0.485402, 78263.709425 },
2607 { 6353.5, 3.42944, 104351.61257 },
2608 { 2495.7, 0.16051, 130439.51571 },
2609 { 859.6, 3.1845, 156527.4188 },
2610 { 277.5, 6.2102, 182615.3220 },
2611 { 86.2, 2.952, 208703.225 },
2612 { 26.1, 5.977, 234791.128 },
2613 { 27.7, 0.291, 27197.282 },
2614 { 12.8, 3.377, 53285.185 },
2615 { 12.7, 0.538, 24978.525 },
2616 { 7.8, 2.72, 260879.03 },
2617 { 7.5, 3.58, 51066.43 },
2618 /* 15 terms retained, 479 terms dropped, error 0.12"*T */
2619
2620 /* mercury b, T^2 */
2621 { 11830.9, 4.790656, 26087.903142 },
2622 { 1913.5, 0, 0 },
2623 { 1044.8, 1.21217, 52175.80628 },
2624 { 266.2, 4.4342, 78263.7094 },
2625 { 170.3, 1.6226, 104351.6126 },
2626 { 96.3, 4.800, 130439.516 },
2627 { 44.7, 1.608, 156527.419 },
2628 { 18.3, 4.669, 182615.322 },
2629 { 6.9, 1.43, 208703.23 },
2630 { 2.5, 4.47, 234791.13 },
2631 { 1.7, 1.83, 27197.28 },
2632 /* 11 terms retained, 219 terms dropped, error 0.025"*T^2 */
2633
2634 /* mercury b, T^3 */
2635 { 235.4, 0.3539, 26087.9031 },
2636 { 160.5, 0, 0 },
2637 { 18.9, 4.363, 52175.806 },
2638 { 6.4, 2.51, 78263.71 },
2639 { 4.6, 6.14, 104351.61 },
2640 { 3.1, 3.12, 130439.52 },
2641 { 1.7, 6.27, 156527.42 },
2642 { 0.9, 3.08, 182615.32 },
2643 /* 8 terms retained, 45 terms dropped, error 0.011"*T^3 */
2644
2645 /* mercury b, T^4 */
2646 { 4.3, 1.75, 26087.90 },
2647 { 1.0, 3.14, 0 },
2648 { 0.4, 4.03, 52175.81 },
2649 { 0.3, 0.21, 78263.71 },
2650 { 0.1, 3.75, 104351.61 },
2651 /* 5 terms retained, 10 terms dropped, error 0.0012"*T^4 */
2652
2653 /* mercury b, T^5 */
2654 { 0.1, 3.95, 26087.90 },
2655 /* 1 terms retained, 9 terms dropped, error 0.00062"*T^5 */
2656 /* end mercury b */
2657
2658 /* mercury r, T^0 */
2659 { 39528271.7, 0, 0 },
2660 { 7834131.8, 6.19233723, 26087.90314157 },
2661 { 795525.6, 2.9598969, 52175.8062831 },
2662 { 121281.8, 6.0106415, 78263.7094247 },
2663 { 21922.0, 2.778201, 104351.612566 },
2664 { 4354.1, 5.82895, 130439.51571 },
2665 { 918.2, 2.5965, 156527.4188 },
2666 { 260.0, 3.0282, 27197.2817 },
2667 { 290.0, 1.4244, 25028.5212 },
2668 { 201.9, 5.6473, 182615.3220 },
2669 { 201.5, 5.5923, 31749.2352 },
2670 { 142.0, 6.2526, 24978.5246 },
2671 { 100.1, 3.7344, 21535.9496 },
2672 { 77.6, 3.670, 20426.571 },
2673 { 63.3, 4.299, 25558.212 },
2674 { 63.0, 4.766, 1059.382 },
2675 { 66.8, 2.525, 5661.332 },
2676 { 75.5, 4.474, 51116.424 },
2677 { 48.3, 6.068, 53285.185 },
2678 { 45.7, 2.415, 208703.225 },
2679 { 35.2, 1.059, 27043.503 },
2680 { 40.8, 2.359, 57837.138 },
2681 { 44.2, 1.220, 15874.618 },
2682 { 33.9, 0.864, 25661.305 },
2683 { 37.2, 0.517, 47623.853 },
2684 { 30.1, 1.795, 37410.567 },
2685 { 28.4, 3.021, 51066.428 },
2686 { 30.9, 0.884, 24498.830 },
2687 { 26.1, 2.150, 39609.655 },
2688 /* 29 terms retained, 1186 terms dropped, error 2.9e-06 a.u. */
2689
2690 /* mercury r, T^1 */
2691 { 217347.7, 4.6561716, 26087.9031416 },
2692 { 44141.8, 1.423855, 52175.806283 },
2693 { 10094.5, 4.474663, 78263.709425 },
2694 { 2432.8, 1.24226, 104351.61257 },
2695 { 1624.4, 0, 0 },
2696 { 604.0, 4.2930, 130439.5157 },
2697 { 152.9, 1.0606, 156527.4188 },
2698 { 39.2, 4.111, 182615.322 },
2699 { 17.8, 4.544, 27197.282 },
2700 { 18.0, 4.712, 24978.525 },
2701 { 10.2, 0.879, 208703.225 },
2702 { 8.1, 3.01, 25028.52 },
2703 /* 12 terms retained, 699 terms dropped, error 5.8e-07 a.u.*T */
2704
2705 /* mercury r, T^2 */
2706 { 3117.9, 3.08232, 26087.90314 },
2707 { 1245.4, 6.15183, 52175.80628 },
2708 { 424.8, 2.9258, 78263.7094 },
2709 { 136.1, 5.9798, 104351.6126 },
2710 { 42.2, 2.749, 130439.516 },
2711 { 21.8, 3.142, 0 },
2712 { 12.8, 5.801, 156527.419 },
2713 { 3.8, 2.57, 182615.32 },
2714 /* 8 terms retained, 318 terms dropped, error 2.3e-07 a.u.*T^2 */
2715
2716 /* mercury r, T^3 */
2717 { 32.7, 1.680, 26087.903 },
2718 { 24.2, 4.634, 52175.806 },
2719 { 12.1, 1.390, 78263.709 },
2720 { 5.1, 4.44, 104351.61 },
2721 { 2.0, 1.21, 130439.52 },
2722 { 1.5, 3.14, 0 },
2723 { 0.7, 4.26, 156527.42 },
2724 /* 7 terms retained, 112 terms dropped, error 4.1e-08 a.u.*T^3 */
2725
2726 /* mercury r, T^4 */
2727 { 0.4, 0.37, 26087.90 },
2728 { 0.4, 3.19, 52175.81 },
2729 { 0.3, 6.17, 78263.71 },
2730 { 0.1, 2.92, 104351.61 },
2731 /* 4 terms retained, 14 terms dropped, error 6.7e-09 a.u.*T^4 */
2732
2733 /* mercury r, T^5 */
2734 /* 0 terms retained, 10 terms dropped, error 1.2e-10 a.u.*T^5 */
2735 /* end mercury */
2736};
2737
2738int vn_mercury[][3] = {
2739 /* addresses for mercury l, b, r */
2740 /* T^0 */ { 0, 144, 217, },
2741 /* T^1 */ { 75, 177, 246, },
2742 /* T^2 */ { 112, 192, 258, },
2743 /* T^3 */ { 126, 203, 266, },
2744 /* T^4 */ { 135, 211, 273, },
2745 /* T^5 */ { 143, 216, 277, },
2746 /* end */ { 144, 217, 0, },
2747 /* termination */ { 0, }
2748};
2749
2750/* version d4 (lbr)
2751 * heliocentric dynamical ecliptic and equinox of the date
2752 */
2753
2754double vx_neptune[][3] = {
2755 /* neptune l, T^0 */
2756 { 531188633.0, 0, 0 },
2757 { 1798475.5, 2.90101273, 38.13303564 },
2758 { 1019727.7, 0.48580924, 1.48447271 },
2759 { 124531.8, 4.8300809, 36.6485629 },
2760 { 42064.4, 5.410550, 2.968945 },
2761 { 37714.6, 6.092218, 35.164090 },
2762 { 33784.7, 1.244889, 76.266071 },
2763 { 16482.7, 0.000077, 491.557929 },
2764 { 9198.6, 4.93747, 39.61751 },
2765 { 8994.2, 0.27462, 175.16606 },
2766 { 4216.2, 1.98712, 73.29713 },
2767 { 3364.8, 1.03590, 33.67962 },
2768 { 2284.8, 4.20607, 4.45342 },
2769 { 1433.5, 2.78340, 74.78160 },
2770 { 900.2, 2.0761, 109.9457 },
2771 { 745.0, 3.1903, 71.8127 },
2772 { 506.2, 5.7479, 114.3991 },
2773 { 399.6, 0.3497, 1021.2489 },
2774 { 345.2, 3.4619, 41.1020 },
2775 { 306.3, 0.4968, 0.5213 },
2776 { 287.3, 4.5052, 0.0482 },
2777 { 323.0, 2.2482, 32.1951 },
2778 { 340.3, 3.3037, 77.7505 },
2779 { 266.6, 4.8893, 0.9632 },
2780 { 227.1, 1.7971, 453.4249 },
2781 { 244.7, 1.2469, 9.5612 },
2782 { 232.9, 2.5046, 137.0330 },
2783 { 282.2, 2.2457, 146.5943 },
2784 { 251.9, 5.7817, 388.4652 },
2785 { 150.2, 2.9971, 5.9379 },
2786 { 170.4, 3.3239, 108.4612 },
2787 { 151.4, 2.1915, 33.9402 },
2788 { 148.3, 0.8595, 111.4302 },
2789 { 118.7, 3.6771, 2.4477 },
2790 { 101.8, 5.7054, 0.1119 },
2791 { 97.9, 2.805, 8.077 },
2792 { 103.1, 4.4044, 70.3282 },
2793 { 103.3, 0.0408, 0.2606 },
2794 { 109.3, 2.4160, 183.2428 },
2795 { 73.9, 1.328, 529.691 },
2796 { 77.7, 4.164, 4.193 },
2797 { 86.4, 4.228, 490.073 },
2798 { 81.5, 5.199, 493.042 },
2799 { 71.5, 5.295, 350.332 },
2800 { 64.4, 3.545, 168.053 },
2801 { 62.6, 0.150, 182.280 },
2802 { 58.5, 3.501, 145.110 },
2803 { 48.3, 1.113, 112.915 },
2804 { 47.2, 4.574, 46.210 },
2805 { 39.1, 1.666, 213.299 },
2806 { 47.7, 0.129, 484.444 },
2807 { 46.9, 3.017, 498.671 },
2808 { 38.7, 2.387, 2.921 },
2809 { 47.0, 4.498, 173.682 },
2810 { 47.6, 2.584, 219.891 },
2811 { 44.7, 5.473, 176.651 },
2812 { 32.3, 3.458, 30.711 },
2813 { 28.2, 4.133, 6.592 },
2814 /* 58 terms retained, 365 terms dropped, error 0.9" */
2815
2816 /* neptune l, T^1 */
2817 { 3837687716.7, 0, 0 },
2818 { 16604.2, 4.863191, 1.484473 },
2819 { 15807.1, 2.279235, 38.133036 },
2820 { 3334.7, 3.68200, 76.26607 },
2821 { 1305.8, 3.67321, 2.96895 },
2822 { 604.8, 1.5048, 35.1641 },
2823 { 178.6, 3.4532, 39.6175 },
2824 { 106.5, 2.4513, 4.4534 },
2825 { 105.7, 2.7548, 33.6796 },
2826 { 72.7, 5.487, 36.649 },
2827 { 57.1, 5.216, 0.521 },
2828 { 57.4, 1.858, 114.399 },
2829 { 35.4, 4.517, 74.782 },
2830 { 32.2, 5.904, 77.751 },
2831 { 29.9, 3.670, 388.465 },
2832 { 28.9, 5.169, 9.561 },
2833 { 28.7, 5.167, 2.448 },
2834 { 25.5, 5.245, 168.053 },
2835 { 24.9, 4.732, 182.280 },
2836 { 20.2, 5.789, 1021.249 },
2837 { 19.0, 1.830, 484.444 },
2838 { 18.7, 1.316, 498.671 },
2839 { 15.1, 4.950, 137.033 },
2840 { 15.1, 3.987, 32.195 },
2841 { 10.7, 2.441, 4.193 },
2842 { 11.7, 4.893, 71.813 },
2843 { 9.6, 1.23, 5.94 },
2844 { 9.6, 1.89, 41.10 },
2845 { 9.0, 0.02, 8.08 },
2846 { 9.9, 6.08, 7.11 },
2847 { 7.6, 5.51, 73.30 },
2848 { 7.0, 0.62, 2.92 },
2849 /* 32 terms retained, 151 terms dropped, error 0.17"*T */
2850
2851 /* neptune l, T^2 */
2852 { 53892.6, 0, 0 },
2853 { 281.3, 1.1908, 38.1330 },
2854 { 295.7, 1.8552, 1.4845 },
2855 { 270.2, 5.7214, 76.2661 },
2856 { 23.0, 1.210, 2.969 },
2857 { 7.3, 0.54, 2.45 },
2858 { 9.1, 4.43, 35.16 },
2859 { 5.2, 0.67, 168.05 },
2860 { 5.2, 3.02, 182.28 },
2861 { 4.3, 3.84, 114.40 },
2862 { 3.9, 3.53, 484.44 },
2863 { 3.7, 5.90, 498.67 },
2864 { 3.0, 0.31, 4.45 },
2865 { 3.4, 0.56, 74.78 },
2866 { 3.3, 1.85, 175.17 },
2867 { 2.2, 1.89, 388.47 },
2868 { 2.2, 4.38, 7.11 },
2869 { 1.8, 3.49, 9.56 },
2870 { 2.5, 4.69, 491.56 },
2871 { 1.8, 5.12, 33.68 },
2872 { 2.2, 1.69, 77.75 },
2873 { 1.7, 2.56, 36.65 },
2874 /* 22 terms retained, 35 terms dropped, error 0.033"*T^2 */
2875
2876 /* neptune l, T^3 */
2877 { 31.3, 0, 0 },
2878 { 12.5, 6.044, 1.484 },
2879 { 14.5, 1.353, 76.266 },
2880 { 11.5, 6.113, 38.133 },
2881 { 1.4, 4.94, 2.97 },
2882 { 0.7, 2.36, 168.05 },
2883 { 0.7, 1.27, 182.28 },
2884 { 0.5, 5.24, 484.44 },
2885 { 0.5, 4.17, 498.67 },
2886 { 0.7, 0.56, 31.02 },
2887 /* 10 terms retained, 5 terms dropped, error 0.0091"*T^3 */
2888
2889 /* neptune l, T^4 */
2890 { 114.0, 3.1416, 0 },
2891 { 0.6, 3.18, 76.27 },
2892 /* 2 terms retained, 0 terms dropped, error 0.0043"*T^4 */
2893
2894 /* neptune l, T^5 */
2895 { 0.9, 3.14, 0 },
2896 /* 1 terms retained, 0 terms dropped, error 0.0051"*T^5 */
2897 /* end neptune l */
2898
2899 /* neptune b, T^0 */
2900 { 3088622.9, 1.44104373, 38.13303564 },
2901 { 27780.1, 5.912719, 76.266071 },
2902 { 27623.6, 0, 0 },
2903 { 15355.5, 2.521238, 36.648563 },
2904 { 15448.1, 3.508771, 39.617508 },
2905 { 1999.9, 1.50999, 74.78160 },
2906 { 1967.5, 4.37778, 1.48447 },
2907 { 1015.1, 3.21561, 35.16409 },
2908 { 605.8, 2.8025, 73.2971 },
2909 { 594.9, 2.1289, 41.1020 },
2910 { 588.8, 3.1866, 2.9689 },
2911 { 401.8, 4.1688, 114.3991 },
2912 { 254.3, 3.2712, 453.4249 },
2913 { 261.6, 3.7672, 213.2991 },
2914 { 280.0, 1.6817, 77.7505 },
2915 { 205.6, 4.2565, 529.6910 },
2916 { 140.5, 3.5297, 137.0330 },
2917 { 98.5, 4.168, 33.680 },
2918 { 51.3, 1.951, 4.453 },
2919 { 68.0, 4.670, 71.813 },
2920 { 41.9, 5.418, 111.430 },
2921 { 41.8, 5.948, 112.915 },
2922 { 30.6, 0.936, 42.586 },
2923 /* 23 terms retained, 149 terms dropped, error 0.62" */
2924
2925 /* neptune b, T^1 */
2926 { 227279.2, 3.8079309, 38.1330356 },
2927 { 1803.1, 1.97576, 76.26607 },
2928 { 1385.7, 4.82556, 36.64856 },
2929 { 1433.3, 3.14159, 0 },
2930 { 1073.3, 6.08054, 39.61751 },
2931 { 147.9, 3.8577, 74.7816 },
2932 { 136.4, 0.4776, 1.4845 },
2933 { 70.3, 6.188, 35.164 },
2934 { 51.9, 5.052, 73.297 },
2935 { 37.3, 4.895, 41.102 },
2936 { 42.6, 0.307, 114.399 },
2937 { 37.1, 5.760, 2.969 },
2938 { 26.4, 5.216, 213.299 },
2939 { 16.9, 4.265, 77.751 },
2940 { 18.7, 0.904, 453.425 },
2941 { 13.0, 6.177, 529.691 },
2942 { 10.5, 1.203, 137.033 },
2943 /* 17 terms retained, 65 terms dropped, error 0.18"*T */
2944
2945 /* neptune b, T^2 */
2946 { 9690.8, 5.57124, 38.13304 },
2947 { 78.8, 3.627, 76.266 },
2948 { 71.5, 0.455, 36.649 },
2949 { 58.6, 3.142, 0 },
2950 { 29.9, 1.607, 39.618 },
2951 { 6.5, 5.61, 74.78 },
2952 { 5.8, 2.25, 1.48 },
2953 { 4.3, 1.68, 35.16 },
2954 { 3.5, 2.39, 114.40 },
2955 { 2.6, 0.65, 73.30 },
2956 /* 10 terms retained, 15 terms dropped, error 0.036"*T^2 */
2957
2958 /* neptune b, T^3 */
2959 { 273.4, 1.0169, 38.1330 },
2960 { 2.3, 2.37, 36.65 },
2961 { 2.0, 5.33, 76.27 },
2962 { 2.4, 0, 0 },
2963 { 0.5, 3.22, 39.62 },
2964 /* 5 terms retained, 4 terms dropped, error 0.0054"*T^3 */
2965
2966 /* neptune b, T^4 */
2967 { 5.7, 2.67, 38.13 },
2968 /* 1 terms retained, 0 terms dropped, error 0.033"*T^4 */
2969
2970 /* neptune b, T^5 */
2971 { 0.1, 4.71, 38.13 },
2972 /* 1 terms retained, 0 terms dropped, error 0.00066"*T^5 */
2973 /* end neptune b */
2974
2975 /* neptune r, T^0 */
2976 { 3007013206.1, 0, 0 },
2977 { 27062259.5, 1.329994589, 38.133035638 },
2978 { 1691764.3, 3.25186139, 36.64856293 },
2979 { 807830.7, 5.1859284, 1.4844727 },
2980 { 537760.6, 4.5211390, 35.1640902 },
2981 { 495725.6, 1.5710565, 491.5579295 },
2982 { 274572.0, 1.8455226, 175.1660598 },
2983 { 135134.1, 3.3722061, 39.6175083 },
2984 { 121801.8, 5.7975444, 76.2660713 },
2985 { 100895.4, 0.3770275, 73.2971259 },
2986 { 69791.7, 3.796172, 2.968945 },
2987 { 46687.8, 5.749378, 33.679618 },
2988 { 24593.8, 0.508017, 109.945689 },
2989 { 16939.2, 1.594222, 71.812653 },
2990 { 14229.7, 1.077861, 74.781599 },
2991 { 12011.8, 1.920621, 1021.248895 },
2992 { 8394.7, 0.67817, 146.59425 },
2993 { 7571.8, 1.07149, 388.46516 },
2994 { 5720.9, 2.59060, 4.45342 },
2995 { 4839.7, 1.90686, 41.10198 },
2996 { 4483.5, 2.90573, 529.69097 },
2997 { 4270.2, 3.41344, 453.42489 },
2998 { 4353.8, 0.67986, 32.19514 },
2999 { 4420.8, 1.74994, 108.46122 },
3000 { 2881.1, 1.98600, 137.03302 },
3001 { 2635.5, 3.09756, 213.29910 },
3002 { 3380.9, 0.84811, 183.24281 },
3003 { 2878.9, 3.67416, 350.33212 },
3004 { 2306.3, 2.80963, 70.32818 },
3005 { 2530.1, 5.79840, 490.07346 },
3006 { 2523.1, 0.48631, 493.04240 },
3007 { 2087.3, 0.61858, 33.94025 },
3008 { 1976.5, 5.11703, 168.05251 },
3009 { 1905.3, 1.72186, 182.27961 },
3010 { 1654.0, 1.92783, 145.10978 },
3011 { 1435.1, 1.70005, 484.44438 },
3012 { 1403.0, 4.58914, 498.67148 },
3013 { 1499.2, 1.01623, 219.89138 },
3014 { 1398.9, 0.76220, 176.65053 },
3015 { 1403.4, 6.07659, 173.68159 },
3016 { 1128.6, 5.96661, 9.56123 },
3017 { 1228.3, 1.59881, 77.75054 },
3018 { 835.4, 3.9707, 114.3991 },
3019 { 811.2, 3.0026, 46.2098 },
3020 { 731.9, 2.1045, 181.7583 },
3021 { 615.8, 2.9787, 106.9767 },
3022 { 704.8, 1.1874, 256.5399 },
3023 { 502.0, 1.3866, 5.9379 },
3024 { 530.4, 4.2406, 111.4302 },
3025 { 437.1, 2.2703, 1550.9399 },
3026 { 400.2, 1.2561, 8.0768 },
3027 { 421.0, 1.8908, 30.7107 },
3028 { 382.5, 3.2997, 983.1159 },
3029 { 422.5, 5.5319, 525.4982 },
3030 { 355.4, 2.2785, 218.4069 },
3031 { 280.1, 1.5413, 98.9000 },
3032 { 314.5, 3.9593, 381.3516 },
3033 { 280.6, 4.5424, 44.7253 },
3034 { 267.7, 5.1332, 112.9146 },
3035 { 333.3, 5.7507, 39.0962 },
3036 { 291.6, 4.0240, 68.8437 },
3037 { 321.4, 1.5063, 454.9094 },
3038 { 309.2, 2.8545, 72.0733 },
3039 { 345.1, 1.3591, 293.1885 },
3040 { 307.4, 0.3196, 601.7643 },
3041 { 251.4, 3.5399, 312.1991 },
3042 { 248.2, 3.4108, 37.6118 },
3043 { 306.0, 2.7248, 6244.9428 },
3044 { 293.5, 4.8908, 528.2065 },
3045 { 234.5, 0.5923, 42.5865 },
3046 { 239.6, 3.1644, 143.6253 },
3047 { 214.5, 3.6248, 278.2588 },
3048 { 246.2, 1.0151, 141.2258 },
3049 { 174.1, 5.5501, 567.8240 },
3050 { 163.9, 2.1017, 2.4477 },
3051 { 162.9, 2.4895, 4.1928 },
3052 { 193.5, 1.5843, 138.5175 },
3053 { 155.3, 3.2843, 31.0195 },
3054 { 182.5, 2.4524, 255.0555 },
3055 { 177.8, 4.1477, 10175.1525 },
3056 { 174.4, 1.5304, 329.8371 },
3057 { 137.6, 3.3490, 0.9632 },
3058 { 161.0, 5.1666, 211.8146 },
3059 { 113.5, 4.9629, 148.0787 },
3060 { 128.8, 3.2552, 24.1184 },
3061 { 107.4, 3.2646, 1059.3819 },
3062 { 122.7, 5.3940, 62.2514 },
3063 { 120.5, 3.0805, 184.7273 },
3064 { 99.4, 1.929, 28.572 },
3065 { 97.7, 2.595, 6.592 },
3066 { 124.1, 3.1152, 221.3759 },
3067 { 124.7, 2.9704, 251.4321 },
3068 { 114.3, 0.2504, 594.6507 },
3069 { 111.0, 3.3428, 180.2739 },
3070 { 120.9, 1.9291, 25.6029 },
3071 { 104.7, 0.9488, 395.5787 },
3072 { 109.8, 5.4315, 494.5269 },
3073 { 96.9, 0.862, 1014.135 },
3074 { 98.7, 0.896, 488.589 },
3075 { 89.0, 4.781, 144.147 },
3076 { 107.9, 0.9870, 1124.3417 },
3077 { 97.1, 2.627, 291.704 },
3078 { 75.1, 5.889, 43.241 },
3079 { 93.7, 6.099, 526.722 },
3080 { 94.8, 0.207, 456.394 },
3081 { 70.0, 2.397, 426.598 },
3082 { 77.2, 4.211, 105.492 },
3083 { 89.9, 3.251, 258.024 },
3084 { 69.1, 4.930, 1028.362 },
3085 { 90.7, 1.695, 366.486 },
3086 { 74.2, 3.145, 82.858 },
3087 { 58.0, 0.862, 60.767 },
3088 { 78.7, 1.093, 700.664 },
3089 { 57.2, 0.813, 2.921 },
3090 { 63.4, 4.396, 149.563 },
3091 { 55.7, 3.890, 47.694 },
3092 { 56.4, 5.150, 0.521 },
3093 { 56.2, 5.430, 911.043 },
3094 { 61.7, 6.165, 1019.764 },
3095 { 70.5, 0.081, 40.581 },
3096 { 74.7, 4.859, 186.212 },
3097 { 61.9, 4.787, 11.046 },
3098 { 61.1, 0.837, 1022.733 },
3099 { 61.3, 5.702, 178.135 },
3100 { 52.9, 0.375, 27.087 },
3101 { 56.7, 3.523, 216.922 },
3102 { 48.8, 5.108, 64.960 },
3103 { 63.3, 4.394, 807.950 },
3104 { 64.1, 6.283, 7.114 },
3105 { 46.4, 1.347, 451.940 },
3106 { 60.5, 3.403, 294.673 },
3107 { 46.9, 0.170, 7.422 },
3108 { 56.8, 0.450, 140.002 },
3109 { 55.9, 1.068, 172.197 },
3110 { 53.8, 2.796, 328.353 },
3111 { 43.8, 6.047, 135.549 },
3112 { 49.5, 0.641, 41.054 },
3113 { 54.0, 2.918, 563.631 },
3114 { 43.0, 5.402, 487.365 },
3115 { 51.5, 0.091, 210.330 },
3116 { 41.9, 3.123, 29.226 },
3117 { 47.7, 3.907, 63.736 },
3118 { 41.6, 6.268, 32.716 },
3119 { 41.4, 4.455, 37.170 },
3120 { 40.7, 0.160, 79.235 },
3121 { 48.2, 1.842, 403.134 },
3122 { 36.9, 0.448, 30.056 },
3123 { 47.8, 0.881, 3302.479 },
3124 { 39.5, 3.506, 357.446 },
3125 { 42.1, 0.634, 343.219 },
3126 { 41.3, 1.364, 31.232 },
3127 { 42.6, 3.553, 38.654 },
3128 { 38.9, 5.267, 415.292 },
3129 { 39.0, 5.259, 386.981 },
3130 { 33.7, 5.244, 67.359 },
3131 { 40.9, 3.553, 331.322 },
3132 { 38.8, 1.123, 38.181 },
3133 { 37.5, 6.087, 35.425 },
3134 { 38.8, 4.679, 38.085 },
3135 { 38.2, 6.265, 389.950 },
3136 { 30.0, 4.458, 22.634 },
3137 { 31.4, 0.077, 12.530 },
3138 { 26.3, 4.596, 106.014 },
3139 { 27.5, 5.995, 206.186 },
3140 { 25.2, 4.499, 34.201 },
3141 { 29.0, 3.649, 253.571 },
3142 { 27.2, 4.379, 142.141 },
3143 { 30.6, 1.593, 348.848 },
3144 { 31.5, 1.051, 100.384 },
3145 { 26.3, 3.016, 365.001 },
3146 { 26.5, 3.614, 367.970 },
3147 { 25.5, 2.438, 351.817 },
3148 { 25.7, 2.005, 439.783 },
3149 { 25.4, 4.740, 1474.674 },
3150 /* 174 terms retained, 433 terms dropped, error 6.7e-06 a.u. */
3151
3152 /* neptune r, T^1 */
3153 { 236338.5, 0.7049801, 38.1330356 },
3154 { 13220.3, 3.320155, 1.484473 },
3155 { 8621.9, 6.21629, 35.16409 },
3156 { 2701.7, 1.88141, 39.61751 },
3157 { 2153.2, 5.16874, 76.26607 },
3158 { 2154.7, 2.09431, 2.96895 },
3159 { 1463.9, 1.18417, 33.67962 },
3160 { 1603.2, 0, 0 },
3161 { 1135.8, 3.91891, 36.64856 },
3162 { 897.6, 5.2412, 388.4652 },
3163 { 789.9, 0.5332, 168.0525 },
3164 { 760.0, 0.0205, 182.2796 },
3165 { 607.2, 1.0771, 1021.2489 },
3166 { 571.6, 3.4006, 484.4444 },
3167 { 560.8, 2.8869, 498.6715 },
3168 { 490.2, 3.4683, 137.0330 },
3169 { 264.1, 0.8622, 4.4534 },
3170 { 270.5, 3.2736, 71.8127 },
3171 { 203.5, 2.4182, 32.1951 },
3172 { 155.4, 0.3654, 41.1020 },
3173 { 132.8, 3.6016, 9.5612 },
3174 { 93.6, 0.667, 46.210 },
3175 { 83.3, 3.260, 98.900 },
3176 { 72.2, 4.477, 601.764 },
3177 { 69.0, 1.463, 74.782 },
3178 { 87.0, 5.772, 381.352 },
3179 { 68.7, 4.526, 70.328 },
3180 { 64.7, 3.855, 73.297 },
3181 { 68.4, 3.395, 108.461 },
3182 { 53.4, 5.437, 395.579 },
3183 { 44.5, 3.614, 2.448 },
3184 { 41.2, 4.739, 8.077 },
3185 { 48.3, 1.986, 175.166 },
3186 { 41.7, 4.943, 31.019 },
3187 { 44.1, 1.417, 1550.940 },
3188 { 41.2, 1.420, 490.073 },
3189 { 41.1, 4.863, 493.042 },
3190 { 36.3, 5.308, 312.199 },
3191 { 36.3, 0.382, 77.751 },
3192 { 40.6, 2.272, 529.691 },
3193 { 32.4, 5.911, 5.938 },
3194 { 31.2, 2.705, 1014.135 },
3195 { 32.7, 5.221, 41.054 },
3196 { 36.1, 4.878, 491.558 },
3197 { 30.2, 3.633, 30.711 },
3198 { 30.0, 3.308, 1028.362 },
3199 { 27.0, 1.776, 44.725 },
3200 { 27.8, 4.556, 7.114 },
3201 { 27.5, 0.972, 33.940 },
3202 { 24.9, 3.101, 144.147 },
3203 { 26.0, 2.997, 60.767 },
3204 { 21.4, 4.713, 278.259 },
3205 { 21.3, 0.690, 251.432 },
3206 { 23.7, 5.120, 176.651 },
3207 { 21.4, 0.863, 4.193 },
3208 { 23.4, 1.650, 173.682 },
3209 { 24.2, 3.566, 145.110 },
3210 { 20.2, 5.615, 24.118 },
3211 { 27.0, 4.143, 453.425 },
3212 { 24.0, 1.007, 213.299 },
3213 { 18.3, 1.980, 72.073 },
3214 { 18.3, 6.173, 189.393 },
3215 { 19.2, 4.652, 106.977 },
3216 { 17.6, 1.603, 62.251 },
3217 { 16.5, 1.699, 357.446 },
3218 { 20.1, 3.295, 114.399 },
3219 { 15.4, 4.388, 25.603 },
3220 { 19.2, 2.200, 343.219 },
3221 { 15.1, 3.668, 0.521 },
3222 { 14.0, 0.553, 129.919 },
3223 { 13.4, 5.858, 68.844 },
3224 { 15.4, 4.207, 567.824 },
3225 { 12.7, 3.528, 477.331 },
3226 { 11.7, 5.576, 31.232 },
3227 { 11.5, 0.891, 594.651 },
3228 { 10.5, 4.356, 32.716 },
3229 { 10.8, 5.218, 26.827 },
3230 { 10.1, 1.981, 40.581 },
3231 { 10.5, 5.273, 2.921 },
3232 { 9.2, 0.50, 64.96 },
3233 { 9.2, 0.68, 160.94 },
3234 { 8.7, 5.81, 6.59 },
3235 { 10.1, 4.512, 28.572 },
3236 { 10.4, 5.189, 42.586 },
3237 { 9.9, 3.77, 181.76 },
3238 { 8.3, 2.82, 43.24 },
3239 { 9.8, 1.49, 47.69 },
3240 { 7.6, 4.08, 389.95 },
3241 { 8.0, 2.78, 505.79 },
3242 { 7.4, 2.36, 11.05 },
3243 { 7.3, 1.62, 135.55 },
3244 { 9.5, 0.27, 426.60 },
3245 { 7.2, 0.83, 911.04 },
3246 { 7.0, 1.87, 206.19 },
3247 { 6.9, 0.84, 82.86 },
3248 { 7.9, 1.87, 38.65 },
3249 { 6.7, 3.98, 12.53 },
3250 { 6.4, 0.90, 487.37 },
3251 { 6.7, 1.34, 220.41 },
3252 { 7.7, 5.13, 23.91 },
3253 { 7.1, 6.00, 639.90 },
3254 { 8.3, 3.86, 37.61 },
3255 { 6.4, 2.42, 1059.38 },
3256 { 6.8, 1.97, 45.25 },
3257 { 6.4, 4.08, 35.69 },
3258 { 6.4, 0.65, 350.33 },
3259 /* 106 terms retained, 144 terms dropped, error 1.3e-06 a.u.*T */
3260
3261 /* neptune r, T^2 */
3262 { 4247.4, 5.89911, 38.13304 },
3263 { 217.6, 0.3458, 1.4845 },
3264 { 163.0, 2.2387, 168.0525 },
3265 { 156.3, 4.5941, 182.2796 },
3266 { 117.9, 5.1030, 484.4444 },
3267 { 112.4, 1.1900, 498.6715 },
3268 { 127.1, 2.8479, 35.1641 },
3269 { 99.5, 3.416, 175.166 },
3270 { 64.8, 3.462, 388.465 },
3271 { 77.3, 0.017, 491.558 },
3272 { 49.5, 4.070, 76.266 },
3273 { 39.3, 6.095, 1021.249 },
3274 { 36.5, 5.171, 137.033 },
3275 { 37.1, 5.973, 2.969 },
3276 { 30.5, 3.583, 33.680 },
3277 { 21.1, 0.768, 36.649 },
3278 { 13.9, 3.592, 395.579 },
3279 { 13.1, 5.093, 98.900 },
3280 { 11.4, 1.181, 381.352 },
3281 { 9.1, 2.35, 601.76 },
3282 { 8.5, 5.25, 2.45 },
3283 { 8.1, 4.96, 4.45 },
3284 { 7.4, 4.47, 189.39 },
3285 { 7.2, 1.92, 9.56 },
3286 { 7.3, 1.66, 1028.36 },
3287 { 8.1, 5.84, 220.41 },
3288 { 9.7, 0, 0 },
3289 { 6.6, 0.69, 144.15 },
3290 { 7.8, 1.14, 1059.38 },
3291 { 5.7, 6.25, 74.78 },
3292 { 5.6, 5.23, 46.21 },
3293 { 5.5, 4.59, 1014.14 },
3294 { 5.2, 5.23, 477.33 },
3295 { 5.5, 3.50, 183.76 },
3296 { 4.9, 3.53, 39.62 },
3297 { 4.8, 2.08, 41.10 },
3298 { 5.1, 0.20, 166.57 },
3299 { 4.8, 1.18, 169.54 },
3300 { 4.7, 1.51, 73.30 },
3301 { 6.1, 6.18, 71.81 },
3302 { 4.6, 3.92, 587.54 },
3303 { 5.8, 2.24, 176.65 },
3304 { 4.5, 2.84, 7.11 },
3305 { 4.3, 0.52, 446.31 },
3306 { 3.9, 0.26, 1550.94 },
3307 { 4.5, 3.01, 129.92 },
3308 { 3.7, 2.38, 160.94 },
3309 { 3.8, 3.79, 111.43 },
3310 { 4.1, 1.70, 983.12 },
3311 { 3.3, 1.08, 505.79 },
3312 { 4.0, 0.31, 494.74 },
3313 { 4.0, 5.97, 488.38 },
3314 { 3.9, 4.86, 60.77 },
3315 { 3.0, 2.02, 822.18 },
3316 { 4.0, 1.08, 374.24 },
3317 { 3.8, 5.23, 350.33 },
3318 { 2.8, 6.18, 704.86 },
3319 { 3.5, 0.79, 274.07 },
3320 { 2.8, 1.32, 386.98 },
3321 { 2.8, 5.37, 251.43 },
3322 { 3.1, 5.13, 426.60 },
3323 { 3.3, 5.61, 1124.34 },
3324 { 2.6, 0.68, 312.20 },
3325 { 2.6, 3.56, 567.82 },
3326 { 2.6, 1.46, 1035.48 },
3327 { 2.5, 5.19, 1227.43 },
3328 { 2.5, 4.12, 171.23 },
3329 { 2.5, 2.72, 179.10 },
3330 { 2.3, 0.96, 1019.76 },
3331 { 2.5, 0.70, 707.78 },
3332 { 2.5, 4.60, 693.55 },
3333 { 2.3, 0.74, 976.00 },
3334 /* 72 terms retained, 0 terms dropped, error 3.8e-07 a.u.*T^2 */
3335
3336 /* neptune r, T^3 */
3337 { 166.3, 4.5524, 38.1330 },
3338 { 22.4, 3.948, 168.053 },
3339 { 21.3, 2.863, 182.280 },
3340 { 16.2, 0.542, 484.444 },
3341 { 15.6, 5.757, 498.671 },
3342 { 11.9, 4.403, 1.484 },
3343 { 6.4, 5.19, 31.02 },
3344 { 3.7, 5.91, 1007.02 },
3345 { 3.7, 1.63, 388.47 },
3346 { 3.2, 0.70, 1558.05 },
3347 { 3.2, 1.88, 522.58 },
3348 { 3.3, 2.94, 76.27 },
3349 { 2.7, 1.87, 402.69 },
3350 { 3.2, 0.79, 536.80 },
3351 { 2.6, 5.77, 343.22 },
3352 { 2.6, 4.65, 500.16 },
3353 { 2.5, 4.79, 482.96 },
3354 { 2.5, 1.73, 395.58 },
3355 { 2.7, 2.21, 446.31 },
3356 { 2.4, 5.77, 485.93 },
3357 { 2.9, 6.20, 815.06 },
3358 { 2.3, 3.67, 497.19 },
3359 /* 22 terms retained, 0 terms dropped, error 2.2e-07 a.u.*T^3 */
3360
3361 /* neptune r, T^4 */
3362 { 4.2, 2.40, 477.33 },
3363 { 4.3, 0.10, 395.58 },
3364 { 3.5, 4.78, 1028.36 },
3365 { 3.2, 3.88, 505.79 },
3366 { 3.0, 1.04, 189.39 },
3367 { 2.3, 1.11, 182.28 },
3368 { 2.3, 5.68, 168.05 },
3369 /* 7 terms retained, 0 terms dropped, error 1.3e-07 a.u.*T^4 */
3370 /* end neptune */
3371};
3372
3373int vn_neptune[][3] = {
3374 /* addresses for neptune l, b, r */
3375 /* T^0 */ { 0, 125, 182, },
3376 /* T^1 */ { 58, 148, 356, },
3377 /* T^2 */ { 90, 165, 462, },
3378 /* T^3 */ { 112, 175, 534, },
3379 /* T^4 */ { 122, 180, 556, },
3380 /* T^5 */ { 124, 181, 563, },
3381 /* end */ { 125, 182, 0, },
3382 /* termination */ { 0, }
3383};
3384
3385/* version d4 (lbr)
3386 * heliocentric dynamical ecliptic and equinox of the date
3387 */
3388
3389double vx_saturn[][3] = {
3390 /* saturn l, T^0 */
3391 { 87401354.0, 0, 0 },
3392 { 11107659.8, 3.962050902, 213.299095438 },
3393 { 1414151.0, 4.58581516, 7.11354700 },
3394 { 398379.4, 0.5211203, 206.1855484 },
3395 { 350769.2, 3.3032990, 426.5981909 },
3396 { 206816.3, 0.2465837, 103.0927742 },
3397 { 79271.3, 3.840071, 220.412642 },
3398 { 23990.3, 4.669769, 110.206321 },
3399 { 16573.6, 0.437191, 419.484644 },
3400 { 14907.0, 5.769033, 316.391870 },
3401 { 15820.3, 0.938090, 632.783739 },
3402 { 14609.6, 1.565186, 3.932153 },
3403 { 13160.3, 4.448912, 14.227094 },
3404 { 15053.5, 2.716700, 639.897286 },
3405 { 13005.3, 5.981191, 11.045700 },
3406 { 10725.1, 3.129396, 202.253395 },
3407 { 5863.2, 0.23657, 529.69097 },
3408 { 5227.8, 4.20783, 3.18139 },
3409 { 6126.3, 1.76328, 277.03499 },
3410 { 5019.7, 3.17788, 433.71174 },
3411 { 4592.5, 0.61976, 199.07200 },
3412 { 4005.9, 2.24480, 63.73590 },
3413 { 2953.8, 0.98280, 95.97923 },
3414 { 3873.7, 3.22283, 138.51750 },
3415 { 2461.2, 2.03164, 735.87651 },
3416 { 3269.5, 0.77492, 949.17561 },
3417 { 1758.1, 3.26581, 522.57742 },
3418 { 1640.2, 5.50505, 846.08283 },
3419 { 1391.3, 4.02332, 323.50542 },
3420 { 1580.6, 4.37266, 309.27832 },
3421 { 1123.5, 2.83727, 415.55249 },
3422 { 1017.3, 3.71698, 227.52619 },
3423 { 848.6, 3.1915, 209.3669 },
3424 { 1087.2, 4.18343, 2.44768 },
3425 { 956.8, 0.5074, 1265.5675 },
3426 { 789.2, 5.0075, 0.9632 },
3427 { 687.0, 1.7471, 1052.2684 },
3428 { 654.5, 1.5989, 0.0482 },
3429 { 748.8, 2.1440, 853.1964 },
3430 { 634.0, 2.2989, 412.3711 },
3431 { 743.6, 5.2528, 224.3448 },
3432 { 852.7, 3.4214, 175.1661 },
3433 { 579.9, 3.0926, 74.7816 },
3434 { 624.9, 0.9705, 210.1177 },
3435 { 529.9, 4.4494, 117.3199 },
3436 { 542.6, 1.5182, 9.5612 },
3437 { 474.3, 5.4753, 742.9901 },
3438 { 448.5, 1.2899, 127.4718 },
3439 { 546.4, 2.1268, 350.3321 },
3440 { 478.1, 2.9649, 137.0330 },
3441 { 354.9, 3.0129, 838.9693 },
3442 { 451.8, 1.0444, 490.3341 },
3443 { 347.4, 1.5393, 340.7709 },
3444 { 343.5, 0.2460, 0.5213 },
3445 { 309.0, 3.4949, 216.4805 },
3446 { 322.2, 0.9614, 203.7379 },
3447 { 372.3, 2.2782, 217.2312 },
3448 { 321.5, 2.5718, 647.0108 },
3449 { 330.2, 0.2472, 1581.9593 },
3450 { 249.1, 1.4701, 1368.6603 },
3451 { 286.7, 2.3704, 351.8166 },
3452 { 220.2, 4.2042, 200.7689 },
3453 { 277.8, 0.4002, 211.8146 },
3454 { 204.5, 6.0108, 265.9893 },
3455 { 207.7, 0.4835, 1162.4747 },
3456 { 208.7, 1.3452, 625.6702 },
3457 { 182.5, 5.4912, 2.9208 },
3458 { 226.6, 4.9100, 12.5302 },
3459 { 207.7, 1.2830, 39.3569 },
3460 { 173.9, 1.8631, 0.7508 },
3461 { 184.7, 3.5034, 149.5632 },
3462 { 183.5, 0.9725, 4.1928 },
3463 { 146.1, 6.2310, 195.1398 },
3464 { 164.5, 0.4401, 5.4166 },
3465 { 147.5, 1.5353, 5.6291 },
3466 { 139.7, 4.2945, 21.3406 },
3467 { 131.3, 4.0683, 10.2949 },
3468 { 117.3, 2.6792, 1155.3612 },
3469 { 149.3, 5.7359, 52.6902 },
3470 { 122.4, 1.9759, 4.6659 },
3471 { 113.7, 5.5943, 1059.3819 },
3472 { 102.7, 1.1975, 1685.0521 },
3473 { 118.2, 5.3407, 554.0700 },
3474 { 109.3, 3.4381, 536.8045 },
3475 { 110.4, 0.1660, 1.4845 },
3476 { 125.0, 6.2774, 1898.3512 },
3477 { 89.9, 5.804, 114.138 },
3478 { 104.0, 2.1921, 88.8657 },
3479 { 112.4, 1.1050, 191.2077 },
3480 { 106.6, 4.0116, 956.2892 },
3481 { 91.4, 1.875, 38.133 },
3482 { 83.8, 5.488, 0.112 },
3483 { 83.5, 2.290, 628.852 },
3484 { 97.0, 4.537, 302.165 },
3485 { 100.6, 4.9651, 269.9214 },
3486 { 75.5, 2.180, 728.763 },
3487 { 96.3, 2.833, 275.551 },
3488 { 82.4, 3.055, 440.825 },
3489 { 73.9, 5.089, 1375.774 },
3490 { 71.6, 5.109, 65.220 },
3491 { 70.4, 4.868, 0.212 },
3492 { 69.8, 3.710, 14.978 },
3493 { 88.8, 3.863, 278.519 },
3494 { 68.1, 0.734, 1478.867 },
3495 { 66.5, 0.027, 70.849 },
3496 { 65.7, 2.022, 142.450 },
3497 { 75.8, 1.614, 284.149 },
3498 { 63.2, 3.495, 479.288 },
3499 { 62.5, 2.587, 422.666 },
3500 { 69.3, 3.440, 515.464 },
3501 { 79.0, 4.452, 35.425 },
3502 { 63.7, 3.317, 62.251 },
3503 { 52.9, 5.514, 0.261 },
3504 { 53.0, 3.185, 8.077 },
3505 { 54.5, 2.457, 22.091 },
3506 { 50.5, 4.267, 99.161 },
3507 { 55.2, 0.968, 942.062 },
3508 { 49.3, 2.386, 1471.753 },
3509 { 47.2, 2.025, 312.199 },
3510 { 61.1, 1.503, 210.851 },
3511 { 45.1, 0.931, 2001.444 },
3512 { 60.6, 2.687, 388.465 },
3513 { 43.5, 2.526, 288.081 },
3514 { 42.5, 3.818, 330.619 },
3515 { 39.9, 5.714, 408.439 },
3516 { 50.1, 6.032, 2214.743 },
3517 { 45.9, 0.542, 212.336 },
3518 { 54.2, 0.782, 191.958 },
3519 { 47.0, 4.599, 437.644 },
3520 { 42.4, 1.901, 430.530 },
3521 { 39.7, 1.633, 1066.495 },
3522 { 36.3, 0.848, 213.347 },
3523 { 35.5, 4.186, 215.747 },
3524 { 36.3, 3.933, 213.251 },
3525 { 38.0, 0.313, 423.417 },
3526 { 44.7, 1.125, 6.150 },
3527 { 37.9, 1.198, 2.708 },
3528 { 43.4, 1.374, 563.631 },
3529 { 43.8, 3.930, 525.498 },
3530 { 34.8, 1.016, 203.004 },
3531 { 31.8, 1.693, 0.160 },
3532 { 30.9, 6.135, 417.037 },
3533 { 36.4, 6.006, 18.159 },
3534 { 29.0, 1.197, 404.507 },
3535 { 32.8, 0.536, 107.025 },
3536 { 30.4, 0.723, 222.860 },
3537 { 32.6, 0.812, 1795.258 },
3538 { 37.8, 3.697, 1272.681 },
3539 { 27.7, 1.457, 7.162 },
3540 { 27.2, 1.897, 1045.155 },
3541 { 37.7, 4.520, 24.379 },
3542 { 34.9, 4.461, 214.262 },
3543 { 32.6, 0.664, 692.587 },
3544 { 30.3, 5.304, 33.940 },
3545 { 27.5, 6.227, 1.272 },
3546 { 26.7, 4.567, 7.065 },
3547 { 31.7, 5.498, 56.622 },
3548 { 28.1, 5.644, 128.956 },
3549 { 32.0, 5.223, 92.047 },
3550 { 27.0, 0.067, 205.222 },
3551 { 31.8, 5.592, 6069.777 },
3552 { 31.0, 0.372, 703.633 },
3553 { 29.4, 0.147, 131.404 },
3554 { 26.2, 5.413, 140.002 },
3555 { 25.7, 4.360, 32.243 },
3556 /* 165 terms retained, 987 terms dropped, error 1.4" */
3557
3558 /* saturn l, T^1 */
3559 { 21354295596.0, 0, 0 },
3560 { 1296855.0, 1.82820545, 213.29909544 },
3561 { 564347.6, 2.8850014, 7.1135470 },
3562 { 98323.0, 1.080701, 426.598191 },
3563 { 107678.8, 2.2776991, 206.1855484 },
3564 { 40254.6, 2.041283, 220.412642 },
3565 { 19941.7, 1.279547, 103.092774 },
3566 { 10511.7, 2.748804, 14.227094 },
3567 { 6939.2, 0.40493, 639.89729 },
3568 { 4803.3, 2.44194, 419.48464 },
3569 { 4056.3, 2.92167, 110.20632 },
3570 { 3768.6, 3.64966, 3.93215 },
3571 { 3384.7, 2.41694, 3.18139 },
3572 { 3302.2, 1.26256, 433.71174 },
3573 { 3071.4, 2.32739, 199.07200 },
3574 { 1953.0, 3.56395, 11.04570 },
3575 { 1249.3, 2.62804, 95.97923 },
3576 { 921.7, 1.9609, 227.5262 },
3577 { 705.6, 4.4169, 529.6910 },
3578 { 649.7, 6.1742, 202.2534 },
3579 { 627.6, 6.1109, 309.2783 },
3580 { 486.8, 6.0400, 853.1964 },
3581 { 468.4, 4.6171, 63.7359 },
3582 { 478.5, 4.9878, 522.5774 },
3583 { 417.0, 2.1171, 323.5054 },
3584 { 407.6, 1.2995, 209.3669 },
3585 { 343.8, 3.9585, 412.3711 },
3586 { 339.7, 3.6340, 316.3919 },
3587 { 335.9, 3.7717, 735.8765 },
3588 { 331.9, 2.8608, 210.1177 },
3589 { 352.5, 2.3171, 632.7837 },
3590 { 289.4, 2.7326, 117.3199 },
3591 { 265.8, 0.5434, 647.0108 },
3592 { 230.5, 1.6443, 216.4805 },
3593 { 280.9, 5.7440, 2.4477 },
3594 { 191.7, 2.9651, 224.3448 },
3595 { 172.9, 4.0770, 846.0828 },
3596 { 167.1, 2.5975, 21.3406 },
3597 { 136.3, 2.2858, 10.2949 },
3598 { 131.4, 3.4411, 742.9901 },
3599 { 127.8, 4.0953, 217.2312 },
3600 { 108.9, 6.1614, 415.5525 },
3601 { 93.9, 3.484, 1052.268 },
3602 { 92.5, 3.948, 88.866 },
3603 { 97.6, 4.728, 838.969 },
3604 { 86.6, 1.220, 440.825 },
3605 { 83.5, 3.113, 625.670 },
3606 { 77.6, 6.244, 302.165 },
3607 { 61.6, 1.828, 195.140 },
3608 { 61.9, 4.293, 127.472 },
3609 { 67.1, 0.290, 4.666 },
3610 { 56.9, 5.019, 137.033 },
3611 { 54.2, 5.126, 490.334 },
3612 { 54.6, 0.284, 74.782 },
3613 { 51.4, 1.458, 536.805 },
3614 { 65.8, 5.648, 9.561 },
3615 { 57.8, 2.476, 191.958 },
3616 { 44.4, 2.709, 5.417 },
3617 { 46.8, 1.177, 149.563 },
3618 { 40.4, 3.889, 728.763 },
3619 { 37.8, 2.534, 12.530 },
3620 { 46.6, 5.148, 515.464 },
3621 { 45.9, 2.232, 956.289 },
3622 { 40.4, 0.413, 269.921 },
3623 { 37.2, 3.782, 2.921 },
3624 { 33.8, 3.211, 1368.660 },
3625 { 38.0, 0.647, 422.666 },
3626 { 32.9, 0.301, 351.817 },
3627 { 33.0, 5.430, 1066.495 },
3628 { 30.3, 2.841, 203.004 },
3629 { 35.1, 6.084, 5.629 },
3630 { 29.7, 3.391, 1059.382 },
3631 { 33.2, 4.641, 277.035 },
3632 { 31.9, 4.386, 1155.361 },
3633 { 28.9, 2.026, 330.619 },
3634 { 28.3, 2.742, 265.989 },
3635 { 30.1, 6.187, 284.149 },
3636 { 31.3, 2.435, 52.690 },
3637 { 26.5, 4.512, 340.771 },
3638 { 22.0, 5.144, 4.193 },
3639 { 22.2, 1.965, 203.738 },
3640 { 20.8, 6.160, 860.310 },
3641 { 21.7, 2.676, 942.062 },
3642 { 22.6, 5.886, 210.851 },
3643 { 19.8, 2.313, 437.644 },
3644 { 19.4, 4.766, 70.849 },
3645 { 19.3, 4.102, 18.159 },
3646 { 22.7, 4.137, 191.208 },
3647 { 18.2, 0.903, 429.780 },
3648 { 17.7, 1.850, 234.640 },
3649 { 17.5, 2.447, 423.417 },
3650 { 15.4, 4.238, 1162.475 },
3651 { 14.6, 3.597, 1045.155 },
3652 { 14.1, 2.943, 1685.052 },
3653 { 16.3, 4.057, 949.176 },
3654 { 13.3, 6.245, 38.133 },
3655 { 15.9, 1.064, 56.622 },
3656 { 14.1, 1.435, 408.439 },
3657 { 13.1, 5.758, 138.517 },
3658 { 15.8, 5.594, 6.150 },
3659 { 15.0, 5.772, 22.091 },
3660 { 16.0, 1.939, 1272.681 },
3661 { 16.8, 5.967, 628.852 },
3662 { 12.8, 4.247, 405.258 },
3663 { 13.6, 4.099, 1471.753 },
3664 { 15.1, 0.741, 200.769 },
3665 { 11.0, 1.550, 223.594 },
3666 { 11.7, 1.812, 124.433 },
3667 { 10.3, 3.468, 1375.774 },
3668 { 12.1, 1.857, 131.404 },
3669 { 10.1, 2.382, 107.025 },
3670 { 9.9, 3.95, 430.53 },
3671 { 9.8, 2.55, 99.91 },
3672 { 10.6, 5.367, 215.747 },
3673 { 12.1, 4.845, 831.856 },
3674 { 10.2, 6.077, 32.243 },
3675 { 9.2, 3.65, 142.45 },
3676 { 9.0, 1.24, 106.27 },
3677 { 9.3, 5.81, 7.16 },
3678 { 9.7, 1.39, 145.63 },
3679 { 8.4, 4.42, 703.63 },
3680 { 8.4, 5.64, 62.25 },
3681 { 8.2, 2.42, 1258.45 },
3682 { 7.8, 0.53, 654.12 },
3683 { 7.6, 3.75, 312.20 },
3684 { 7.2, 0.28, 0.75 },
3685 { 8.2, 6.22, 14.98 },
3686 { 7.1, 0.53, 388.47 },
3687 { 6.6, 3.49, 35.42 },
3688 { 9.0, 4.95, 208.63 },
3689 { 9.0, 0.08, 288.08 },
3690 { 6.4, 3.33, 1361.55 },
3691 { 6.5, 2.89, 114.14 },
3692 { 6.7, 0.24, 8.08 },
3693 { 7.3, 4.85, 222.86 },
3694 { 6.3, 3.81, 1788.14 },
3695 { 6.9, 2.05, 99.16 },
3696 { 6.6, 5.83, 483.22 },
3697 /* 138 terms retained, 504 terms dropped, error 0.32"*T */
3698
3699 /* saturn l, T^2 */
3700 { 116441.2, 1.1798785, 7.1135470 },
3701 { 91920.8, 0.074253, 213.299095 },
3702 { 90592.3, 0, 0 },
3703 { 15276.9, 4.064920, 206.185548 },
3704 { 10631.4, 0.257783, 220.412642 },
3705 { 10605.0, 5.409636, 426.598191 },
3706 { 4265.4, 1.04596, 14.22709 },
3707 { 1215.5, 2.91860, 103.09277 },
3708 { 1164.7, 4.60942, 639.89729 },
3709 { 1082.0, 5.69130, 433.71174 },
3710 { 1020.1, 0.63369, 3.18139 },
3711 { 1044.8, 4.04206, 199.07200 },
3712 { 633.6, 4.3883, 419.4846 },
3713 { 549.3, 5.5730, 3.9322 },
3714 { 456.9, 1.2684, 110.2063 },
3715 { 425.1, 0.2094, 227.5262 },
3716 { 273.7, 4.2884, 95.9792 },
3717 { 161.6, 1.3814, 11.0457 },
3718 { 129.5, 1.5659, 309.2783 },
3719 { 117.0, 3.8812, 853.1964 },
3720 { 105.4, 4.9000, 647.0108 },
3721 { 101.0, 0.8927, 21.3406 },
3722 { 95.2, 5.626, 412.371 },
3723 { 81.9, 1.025, 117.320 },
3724 { 74.9, 4.762, 210.118 },
3725 { 82.7, 6.050, 216.480 },
3726 { 95.7, 2.911, 316.392 },
3727 { 63.7, 0.352, 323.505 },
3728 { 84.9, 5.735, 209.367 },
3729 { 60.6, 4.875, 632.784 },
3730 { 66.5, 0.483, 10.295 },
3731 { 67.2, 0.456, 522.577 },
3732 { 53.3, 2.747, 529.691 },
3733 { 45.8, 5.693, 440.825 },
3734 { 45.3, 1.669, 202.253 },
3735 { 42.3, 5.708, 88.866 },
3736 { 32.1, 0.071, 63.736 },
3737 { 31.6, 1.672, 302.165 },
3738 { 31.1, 4.164, 191.958 },
3739 { 24.6, 5.656, 735.877 },
3740 { 26.6, 0.833, 224.345 },
3741 { 20.1, 5.944, 217.231 },
3742 { 17.5, 4.900, 625.670 },
3743 { 17.1, 1.626, 742.990 },
3744 { 13.7, 3.765, 195.140 },
3745 { 12.2, 4.718, 203.004 },
3746 { 11.9, 0.126, 234.640 },
3747 { 16.0, 0.579, 515.464 },
3748 { 11.2, 5.922, 536.805 },
3749 { 14.1, 0.207, 838.969 },
3750 { 11.0, 5.602, 728.763 },
3751 { 11.7, 3.121, 846.083 },
3752 { 10.0, 4.155, 860.310 },
3753 { 10.6, 3.203, 1066.495 },
3754 { 10.1, 0.257, 330.619 },
3755 { 9.5, 0.46, 956.29 },
3756 { 10.2, 4.987, 422.666 },
3757 { 8.3, 2.14, 269.92 },
3758 { 7.2, 5.40, 1052.27 },
3759 { 7.7, 5.25, 429.78 },
3760 { 6.4, 4.46, 284.15 },
3761 { 5.9, 5.41, 149.56 },
3762 { 7.5, 4.03, 9.56 },
3763 { 5.8, 4.29, 415.55 },
3764 { 6.1, 5.93, 405.26 },
3765 { 5.7, 0.02, 124.43 },
3766 { 5.7, 6.02, 223.59 },
3767 { 4.8, 4.93, 654.12 },
3768 { 4.7, 2.27, 18.16 },
3769 { 4.5, 4.41, 942.06 },
3770 { 5.6, 0.30, 127.47 },
3771 { 5.5, 5.54, 949.18 },
3772 { 4.1, 4.69, 74.78 },
3773 { 4.1, 5.31, 1045.15 },
3774 { 4.2, 2.89, 56.62 },
3775 { 4.9, 3.20, 277.03 },
3776 { 3.9, 3.30, 490.33 },
3777 { 3.9, 6.10, 81.75 },
3778 { 3.8, 4.93, 52.69 },
3779 { 4.6, 6.14, 1155.36 },
3780 { 3.7, 0.41, 137.03 },
3781 { 3.4, 4.29, 99.91 },
3782 { 3.6, 0.20, 1272.68 },
3783 { 3.9, 0.37, 12.53 },
3784 { 3.2, 1.57, 1059.38 },
3785 { 4.1, 0.29, 831.86 },
3786 { 3.7, 0.15, 437.64 },
3787 { 2.9, 3.13, 70.85 },
3788 { 2.8, 0.33, 191.21 },
3789 { 2.7, 1.88, 295.05 },
3790 { 3.5, 4.77, 423.42 },
3791 { 2.6, 5.15, 1368.66 },
3792 { 2.5, 3.90, 210.85 },
3793 { 2.5, 1.59, 32.24 },
3794 { 2.6, 3.59, 131.40 },
3795 { 2.3, 4.77, 351.82 },
3796 { 2.4, 5.83, 106.27 },
3797 { 2.2, 5.98, 6062.66 },
3798 { 2.2, 2.06, 6076.89 },
3799 { 2.2, 5.95, 145.63 },
3800 { 2.7, 3.38, 408.44 },
3801 { 2.3, 3.14, 22.09 },
3802 { 2.1, 1.12, 9992.87 },
3803 { 2.1, 3.48, 10007.10 },
3804 { 2.6, 5.12, 265.99 },
3805 { 1.8, 4.15, 1258.45 },
3806 { 1.8, 5.05, 1361.55 },
3807 { 1.8, 4.14, 107.02 },
3808 { 1.9, 4.52, 138.52 },
3809 { 1.7, 1.36, 231.46 },
3810 { 2.0, 5.87, 1471.75 },
3811 { 2.1, 5.23, 1265.57 },
3812 { 1.6, 5.62, 447.94 },
3813 { 1.6, 3.75, 628.85 },
3814 { 1.7, 6.24, 1148.25 },
3815 /* 115 terms retained, 206 terms dropped, error 0.074"*T^2 */
3816
3817 /* saturn l, T^3 */
3818 { 16038.7, 5.739454, 7.113547 },
3819 { 4249.8, 4.58540, 213.29910 },
3820 { 1906.5, 4.76082, 220.41264 },
3821 { 1465.7, 5.91327, 206.18555 },
3822 { 1162.0, 5.61973, 14.22709 },
3823 { 1066.6, 3.60817, 426.59819 },
3824 { 239.4, 3.8609, 433.7117 },
3825 { 237.0, 5.7683, 199.0720 },
3826 { 165.6, 5.1164, 3.1814 },
3827 { 131.4, 4.7433, 227.5262 },
3828 { 151.4, 2.7359, 639.8973 },
3829 { 61.6, 4.743, 103.093 },
3830 { 63.4, 0.229, 419.485 },
3831 { 40.4, 5.473, 21.341 },
3832 { 40.2, 5.964, 95.979 },
3833 { 38.7, 5.834, 110.206 },
3834 { 28.0, 3.012, 647.011 },
3835 { 25.0, 0.988, 3.932 },
3836 { 18.1, 1.025, 412.371 },
3837 { 17.9, 3.319, 309.278 },
3838 { 16.2, 3.898, 440.825 },
3839 { 15.8, 5.617, 117.320 },
3840 { 19.0, 1.916, 853.196 },
3841 { 18.3, 4.967, 10.295 },
3842 { 12.9, 1.181, 88.866 },
3843 { 17.9, 4.204, 216.480 },
3844 { 11.5, 5.575, 11.046 },
3845 { 10.5, 5.929, 191.958 },
3846 { 10.4, 3.948, 209.367 },
3847 { 8.7, 3.39, 302.16 },
3848 { 7.6, 4.88, 323.51 },
3849 { 6.7, 0.38, 632.78 },
3850 { 5.9, 1.06, 210.12 },
3851 { 5.4, 4.64, 234.64 },
3852 { 6.3, 2.25, 522.58 },
3853 { 3.6, 2.31, 515.46 },
3854 { 3.2, 2.20, 860.31 },
3855 { 3.7, 3.14, 0 },
3856 { 2.6, 4.93, 224.34 },
3857 { 2.5, 0.42, 625.67 },
3858 { 2.2, 3.20, 202.25 },
3859 { 2.4, 4.77, 330.62 },
3860 { 2.9, 0.59, 529.69 },
3861 { 2.0, 4.40, 124.43 },
3862 { 2.2, 1.35, 405.26 },
3863 { 2.3, 3.35, 429.78 },
3864 { 2.0, 3.07, 654.12 },
3865 { 2.0, 1.03, 728.76 },
3866 { 1.9, 3.09, 422.67 },
3867 { 1.8, 4.15, 536.80 },
3868 { 2.2, 1.19, 1066.50 },
3869 { 2.1, 4.16, 223.59 },
3870 { 1.5, 0.38, 316.39 },
3871 { 1.7, 5.83, 195.14 },
3872 { 1.5, 1.58, 81.75 },
3873 { 1.6, 6.04, 742.99 },
3874 { 1.3, 1.66, 63.74 },
3875 { 1.3, 5.02, 956.29 },
3876 { 1.4, 2.11, 838.97 },
3877 { 1.2, 3.88, 269.92 },
3878 { 1.0, 3.73, 295.05 },
3879 { 1.3, 1.38, 735.88 },
3880 { 1.3, 2.33, 217.23 },
3881 { 0.9, 2.76, 284.15 },
3882 { 0.9, 0.71, 846.08 },
3883 { 0.9, 3.84, 447.94 },
3884 { 0.9, 3.31, 18.16 },
3885 { 0.8, 4.71, 56.62 },
3886 { 0.9, 2.02, 831.86 },
3887 { 0.8, 0.80, 1045.15 },
3888 { 0.7, 4.27, 437.64 },
3889 { 0.7, 6.18, 942.06 },
3890 { 0.8, 2.41, 203.00 },
3891 { 0.7, 1.65, 423.42 },
3892 { 0.5, 2.86, 184.84 },
3893 { 0.5, 6.26, 1059.38 },
3894 { 0.5, 3.43, 149.56 },
3895 { 0.5, 4.88, 1272.68 },
3896 { 0.4, 5.40, 408.44 },
3897 { 0.4, 4.06, 543.92 },
3898 { 0.4, 1.69, 1155.36 },
3899 { 0.4, 1.22, 1052.27 },
3900 /* 82 terms retained, 66 terms dropped, error 0.015"*T^3 */
3901
3902 /* saturn l, T^4 */
3903 { 1661.9, 3.99826, 7.11355 },
3904 { 257.1, 2.9844, 220.4126 },
3905 { 236.3, 3.9024, 14.2271 },
3906 { 149.4, 2.7411, 213.2991 },
3907 { 109.6, 1.5152, 206.1855 },
3908 { 114.0, 3.1416, 0 },
3909 { 68.4, 1.721, 426.598 },
3910 { 37.7, 1.238, 199.072 },
3911 { 40.1, 2.046, 433.712 },
3912 { 31.2, 3.011, 227.526 },
3913 { 15.1, 0.829, 639.897 },
3914 { 9.4, 3.71, 21.34 },
3915 { 5.7, 2.42, 419.48 },
3916 { 4.5, 1.45, 95.98 },
3917 { 5.6, 1.16, 647.01 },
3918 { 4.5, 2.12, 440.83 },
3919 { 3.2, 4.09, 110.21 },
3920 { 2.9, 2.77, 412.37 },
3921 { 2.8, 3.01, 88.87 },
3922 { 2.6, 0.00, 853.20 },
3923 { 2.6, 0.39, 103.09 },
3924 { 1.9, 5.08, 309.28 },
3925 { 2.2, 3.78, 117.32 },
3926 { 1.8, 5.19, 302.16 },
3927 { 1.9, 2.83, 234.64 },
3928 { 1.8, 2.24, 216.48 },
3929 { 1.2, 1.55, 191.96 },
3930 { 0.8, 3.45, 323.51 },
3931 { 0.8, 4.83, 210.12 },
3932 { 0.6, 4.19, 515.46 },
3933 { 0.6, 2.29, 209.37 },
3934 { 0.6, 4.03, 522.58 },
3935 { 0.6, 2.38, 632.78 },
3936 { 0.6, 0.30, 860.31 },
3937 { 0.6, 2.17, 124.43 },
3938 { 0.4, 2.24, 447.94 },
3939 { 0.4, 5.45, 1066.50 },
3940 { 0.5, 1.27, 654.12 },
3941 { 0.5, 3.20, 405.26 },
3942 { 0.4, 3.12, 330.62 },
3943 { 0.4, 3.39, 81.75 },
3944 { 0.3, 4.12, 838.97 },
3945 { 0.3, 3.18, 529.69 },
3946 { 0.3, 1.41, 429.78 },
3947 { 0.3, 3.19, 1464.64 },
3948 { 0.3, 2.94, 728.76 },
3949 { 0.2, 3.67, 1148.25 },
3950 { 0.3, 2.58, 1045.15 },
3951 { 0.2, 3.58, 1155.36 },
3952 { 0.3, 2.05, 1677.94 },
3953 { 0.2, 2.62, 536.80 },
3954 { 0.3, 2.48, 625.67 },
3955 { 0.2, 4.39, 1574.85 },
3956 { 0.2, 1.26, 422.67 },
3957 { 0.2, 2.33, 223.59 },
3958 { 0.2, 1.09, 742.99 },
3959 { 0.2, 0.70, 824.74 },
3960 { 0.2, 5.03, 203.00 },
3961 { 0.2, 0.40, 867.42 },
3962 { 0.2, 3.68, 831.86 },
3963 { 0.2, 5.75, 1073.61 },
3964 { 0.2, 3.02, 1781.03 },
3965 { 0.1, 2.28, 295.05 },
3966 { 0.1, 3.48, 956.29 },
3967 { 0.2, 1.91, 942.06 },
3968 { 0.1, 6.17, 316.39 },
3969 /* 66 terms retained, 2 terms dropped, error 0.0049"*T^4 */
3970
3971 /* saturn l, T^5 */
3972 { 123.6, 2.2592, 7.1135 },
3973 { 34.2, 2.163, 14.227 },
3974 { 27.5, 1.199, 220.413 },
3975 { 5.8, 1.22, 227.53 },
3976 { 5.3, 0.24, 433.71 },
3977 { 3.7, 6.23, 426.60 },
3978 { 3.1, 2.97, 199.07 },
3979 { 2.9, 4.29, 206.19 },
3980 { 1.6, 6.25, 213.30 },
3981 { 1.3, 5.28, 639.90 },
3982 { 0.9, 5.57, 647.01 },
3983 { 0.8, 6.18, 191.96 },
3984 { 0.8, 0.69, 302.16 },
3985 { 1.0, 0.24, 440.83 },
3986 { 1.0, 3.14, 0 },
3987 { 0.5, 4.88, 88.87 },
3988 { 0.5, 4.78, 419.48 },
3989 { 0.3, 4.32, 853.20 },
3990 { 0.4, 5.70, 654.12 },
3991 { 0.2, 2.05, 323.51 },
3992 { 0.3, 1.11, 234.64 },
3993 { 0.2, 0.89, 309.28 },
3994 { 0.3, 5.10, 95.98 },
3995 { 0.2, 2.40, 515.46 },
3996 { 0.2, 4.70, 860.31 },
3997 { 0.1, 0.49, 117.32 },
3998 /* 26 terms retained, 1 terms dropped, error 0.0022"*T^5 */
3999 /* end saturn l */
4000
4001 /* saturn b, T^0 */
4002 { 4330678.0, 3.60284428, 213.29909544 },
4003 { 240348.3, 2.8523849, 426.5981909 },
4004 { 84745.9, 0, 0 },
4005 { 30863.4, 3.484415, 220.412642 },
4006 { 34116.1, 0.572973, 206.185548 },
4007 { 14734.1, 2.118466, 639.897286 },
4008 { 9916.7, 5.79003, 419.48464 },
4009 { 6993.6, 4.73605, 7.11355 },
4010 { 4807.6, 5.43305, 316.39187 },
4011 { 4788.4, 4.96513, 110.20632 },
4012 { 3432.1, 2.73256, 433.71174 },
4013 { 1506.1, 6.01305, 103.09277 },
4014 { 1060.3, 5.63099, 529.69097 },
4015 { 969.1, 5.2043, 632.7837 },
4016 { 942.1, 1.3965, 853.1964 },
4017 { 707.6, 3.8030, 323.5054 },
4018 { 552.3, 5.1315, 202.2534 },
4019 { 399.7, 3.3589, 227.5262 },
4020 { 316.1, 1.9972, 647.0108 },
4021 { 319.4, 3.6257, 209.3669 },
4022 { 284.5, 4.8865, 224.3448 },
4023 { 314.2, 0.4651, 217.2312 },
4024 { 236.4, 2.1389, 11.0457 },
4025 { 215.4, 5.9498, 846.0828 },
4026 { 208.5, 2.1200, 415.5525 },
4027 { 179.0, 2.9536, 63.7359 },
4028 { 207.2, 0.7302, 199.0720 },
4029 { 139.1, 1.9982, 735.8765 },
4030 { 134.9, 5.2450, 742.9901 },
4031 { 140.6, 0.6442, 490.3341 },
4032 { 121.7, 3.1154, 522.5774 },
4033 { 139.2, 4.5954, 14.2271 },
4034 { 115.5, 3.1089, 216.4805 },
4035 { 114.2, 0.9626, 210.1177 },
4036 { 96.4, 4.482, 117.320 },
4037 { 80.6, 1.317, 277.035 },
4038 { 73.0, 3.060, 536.805 },
4039 { 69.3, 4.924, 309.278 },
4040 { 74.3, 2.894, 149.563 },
4041 { 68.0, 2.180, 351.817 },
4042 { 61.7, 0.677, 1066.495 },
4043 { 56.6, 2.610, 440.825 },
4044 { 48.9, 5.787, 95.979 },
4045 { 48.2, 2.182, 74.782 },
4046 { 38.3, 5.292, 1059.382 },
4047 { 36.3, 1.633, 628.852 },
4048 { 35.1, 1.713, 1052.268 },
4049 { 34.3, 2.457, 422.666 },
4050 { 34.3, 5.980, 412.371 },
4051 { 33.8, 1.141, 949.176 },
4052 { 31.6, 4.147, 437.644 },
4053 { 36.8, 6.278, 1162.475 },
4054 { 27.0, 1.272, 860.310 },
4055 /* 53 terms retained, 447 terms dropped, error 0.82" */
4056
4057 /* saturn b, T^1 */
4058 { 397555.0, 5.3328999, 213.2990954 },
4059 { 49478.6, 3.141593, 0 },
4060 { 18571.6, 6.099192, 426.598191 },
4061 { 14800.6, 2.305861, 206.185548 },
4062 { 9644.0, 1.69675, 220.41264 },
4063 { 3757.2, 1.25430, 419.48464 },
4064 { 2716.6, 5.91167, 639.89729 },
4065 { 1455.3, 0.85162, 433.71174 },
4066 { 1290.6, 2.91771, 7.11355 },
4067 { 852.6, 0.4357, 316.3919 },
4068 { 284.4, 1.6188, 227.5262 },
4069 { 292.2, 5.3157, 853.1964 },
4070 { 275.1, 3.8886, 103.0928 },
4071 { 297.7, 0.9191, 632.7837 },
4072 { 172.4, 0.0522, 647.0108 },
4073 { 127.7, 1.2071, 529.6910 },
4074 { 166.2, 2.4435, 199.0720 },
4075 { 158.2, 5.2085, 110.2063 },
4076 { 109.8, 2.4570, 217.2312 },
4077 { 81.8, 2.758, 210.118 },
4078 { 81.0, 2.860, 14.227 },
4079 { 68.7, 1.655, 202.253 },
4080 { 59.3, 1.824, 323.505 },
4081 { 65.2, 1.255, 216.480 },
4082 { 61.0, 1.253, 209.367 },
4083 { 46.4, 0.815, 440.825 },
4084 { 36.2, 1.819, 224.345 },
4085 { 34.0, 2.840, 117.320 },
4086 { 32.2, 1.187, 846.083 },
4087 { 33.1, 1.306, 412.371 },
4088 { 27.3, 4.647, 1066.495 },
4089 { 22.8, 4.129, 415.552 },
4090 { 27.1, 4.442, 11.046 },
4091 { 18.1, 5.564, 860.310 },
4092 { 20.9, 1.410, 309.278 },
4093 { 14.9, 1.343, 95.979 },
4094 { 15.3, 1.224, 63.736 },
4095 { 14.6, 1.008, 536.805 },
4096 { 12.8, 2.271, 742.990 },
4097 { 12.8, 4.889, 522.577 },
4098 { 13.1, 2.460, 490.334 },
4099 { 11.9, 1.873, 423.417 },
4100 { 13.0, 3.217, 277.035 },
4101 { 9.9, 3.12, 625.67 },
4102 { 12.7, 0.295, 422.666 },
4103 { 9.6, 1.75, 330.62 },
4104 { 8.1, 2.42, 430.53 },
4105 { 8.2, 4.68, 215.75 },
4106 { 9.0, 0.46, 429.78 },
4107 { 6.5, 3.01, 949.18 },
4108 { 7.3, 5.97, 149.56 },
4109 { 6.6, 3.91, 351.82 },
4110 { 6.8, 1.52, 437.64 },
4111 /* 53 terms retained, 207 terms dropped, error 0.21"*T */
4112
4113 /* saturn b, T^2 */
4114 { 20630.0, 0.504824, 213.299095 },
4115 { 3719.6, 3.99833, 206.18555 },
4116 { 1627.2, 6.18190, 220.41264 },
4117 { 1346.1, 0, 0 },
4118 { 705.8, 3.0391, 419.4846 },
4119 { 365.0, 5.0993, 426.5982 },
4120 { 329.6, 5.2790, 433.7117 },
4121 { 219.3, 3.8284, 639.8973 },
4122 { 139.4, 1.0427, 7.1135 },
4123 { 104.0, 6.1573, 227.5262 },
4124 { 93.0, 1.980, 316.392 },
4125 { 71.2, 4.148, 199.072 },
4126 { 51.9, 2.884, 632.784 },
4127 { 49.0, 4.434, 647.011 },
4128 { 41.4, 3.159, 853.196 },
4129 { 28.6, 4.530, 210.118 },
4130 { 24.0, 1.116, 14.227 },
4131 { 20.5, 4.351, 217.231 },
4132 { 19.5, 5.308, 440.825 },
4133 { 18.3, 0.854, 110.206 },
4134 { 15.7, 4.258, 103.093 },
4135 { 16.8, 5.681, 216.480 },
4136 { 13.6, 2.999, 412.371 },
4137 { 11.6, 2.527, 529.691 },
4138 { 8.0, 3.32, 202.25 },
4139 { 6.6, 0.29, 323.51 },
4140 { 6.3, 1.16, 117.32 },
4141 { 5.9, 3.58, 309.28 },
4142 { 6.6, 5.56, 209.37 },
4143 { 5.6, 2.48, 1066.50 },
4144 { 6.2, 3.61, 860.31 },
4145 { 4.2, 3.02, 846.08 },
4146 { 3.6, 4.80, 625.67 },
4147 { 3.4, 3.77, 423.42 },
4148 { 3.4, 6.04, 234.64 },
4149 { 2.6, 5.64, 735.88 },
4150 { 2.8, 4.82, 429.78 },
4151 { 2.8, 4.48, 654.12 },
4152 { 2.6, 0.22, 522.58 },
4153 { 2.6, 3.29, 95.98 },
4154 { 2.4, 0.03, 415.55 },
4155 { 2.1, 4.56, 422.67 },
4156 { 2.3, 6.25, 330.62 },
4157 { 1.8, 5.53, 536.80 },
4158 { 1.8, 5.06, 277.03 },
4159 { 1.6, 5.54, 224.34 },
4160 /* 46 terms retained, 65 terms dropped, error 0.045"*T^2 */
4161
4162 /* saturn b, T^3 */
4163 { 666.3, 1.9901, 213.2991 },
4164 { 632.4, 5.6978, 206.1855 },
4165 { 398.1, 0, 0 },
4166 { 187.8, 4.3378, 220.4126 },
4167 { 91.9, 4.841, 419.485 },
4168 { 42.4, 2.381, 426.598 },
4169 { 51.5, 3.421, 433.712 },
4170 { 25.7, 4.402, 227.526 },
4171 { 20.6, 5.853, 199.072 },
4172 { 18.1, 1.993, 639.897 },
4173 { 10.9, 5.373, 7.114 },
4174 { 9.6, 2.55, 647.01 },
4175 { 7.1, 3.46, 316.39 },
4176 { 6.0, 4.80, 632.78 },
4177 { 5.8, 0.02, 210.12 },
4178 { 4.9, 5.64, 14.23 },
4179 { 4.5, 1.22, 853.20 },
4180 { 5.5, 3.52, 440.83 },
4181 { 3.5, 4.71, 412.37 },
4182 { 2.9, 0.63, 103.09 },
4183 { 2.2, 3.72, 216.48 },
4184 { 2.0, 6.11, 217.23 },
4185 { 1.4, 1.69, 860.31 },
4186 { 1.2, 4.31, 234.64 },
4187 { 1.2, 5.75, 309.28 },
4188 { 0.8, 5.69, 117.32 },
4189 { 0.7, 0.60, 1066.50 },
4190 { 0.7, 0.22, 625.67 },
4191 { 0.8, 5.48, 202.25 },
4192 { 0.9, 2.66, 654.12 },
4193 { 0.5, 2.86, 429.78 },
4194 { 0.5, 4.18, 529.69 },
4195 { 0.5, 4.52, 323.51 },
4196 /* 33 terms retained, 25 terms dropped, error 0.012"*T^3 */
4197
4198 /* saturn b, T^4 */
4199 { 80.4, 1.119, 206.186 },
4200 { 31.7, 3.122, 213.299 },
4201 { 17.1, 2.481, 220.413 },
4202 { 11.8, 3.142, 0 },
4203 { 9.0, 0.38, 419.48 },
4204 { 6.2, 1.56, 433.71 },
4205 { 4.7, 1.28, 199.07 },
4206 { 4.8, 2.63, 227.53 },
4207 { 1.5, 1.43, 426.60 },
4208 { 1.4, 0.67, 647.01 },
4209 { 1.1, 6.18, 639.90 },
4210 { 1.1, 1.72, 440.83 },
4211 { 0.7, 3.85, 14.23 },
4212 { 0.7, 3.49, 7.11 },
4213 { 0.5, 0.47, 632.78 },
4214 { 0.5, 0.31, 412.37 },
4215 { 0.3, 5.86, 853.20 },
4216 { 0.3, 2.50, 234.64 },
4217 { 0.2, 5.39, 316.39 },
4218 { 0.2, 2.11, 210.12 },
4219 { 0.2, 6.10, 860.31 },
4220 { 0.2, 5.95, 216.48 },
4221 { 0.1, 1.99, 625.67 },
4222 { 0.1, 0.86, 654.12 },
4223 { 0.1, 5.04, 117.32 },
4224 { 0.1, 0.45, 110.21 },
4225 /* 26 terms retained, 0 terms dropped, error 0.0025"*T^4 */
4226
4227 /* saturn b, T^5 */
4228 { 7.9, 2.82, 206.19 },
4229 { 1.0, 0.51, 220.41 },
4230 { 0.8, 2.99, 199.07 },
4231 { 1.0, 3.14, 0 },
4232 { 0.6, 5.96, 433.71 },
4233 { 0.6, 0.78, 227.53 },
4234 { 0.4, 2.39, 419.48 },
4235 { 0.1, 5.11, 647.01 },
4236 /* 8 terms retained, 3 terms dropped, error 0.0012"*T^5 */
4237 /* end saturn b */
4238
4239 /* saturn r, T^0 */
4240 { 955758135.8, 0, 0 },
4241 { 52921382.5, 2.392262197, 213.299095438 },
4242 { 1873679.9, 5.23549605, 206.18554844 },
4243 { 1464664.0, 1.64763045, 426.59819088 },
4244 { 821891.1, 5.9352003, 316.3918697 },
4245 { 547506.9, 5.0153263, 103.0927742 },
4246 { 371684.4, 2.2711483, 220.4126424 },
4247 { 361778.4, 3.1390430, 7.1135470 },
4248 { 140617.5, 5.7040665, 632.7837393 },
4249 { 108974.7, 3.2931360, 110.2063212 },
4250 { 69007.0, 5.940996, 419.484644 },
4251 { 61053.3, 0.940378, 639.897286 },
4252 { 48913.0, 1.557334, 202.253395 },
4253 { 34143.8, 0.195186, 277.034994 },
4254 { 32401.7, 5.470846, 949.175609 },
4255 { 20936.6, 0.463492, 735.876514 },
4256 { 20839.1, 1.521026, 433.711738 },
4257 { 20746.7, 5.332557, 199.072001 },
4258 { 15298.5, 3.059437, 529.690965 },
4259 { 14296.5, 2.604335, 323.505417 },
4260 { 11993.3, 5.980514, 846.082835 },
4261 { 11380.3, 1.731057, 522.577418 },
4262 { 12884.1, 1.648923, 138.517497 },
4263 { 7752.8, 5.85191, 95.97923 },
4264 { 9796.1, 5.20476, 1265.56748 },
4265 { 6466.0, 0.17733, 1052.26838 },
4266 { 6770.6, 3.00433, 14.22709 },
4267 { 5850.4, 1.45520, 415.55249 },
4268 { 5307.5, 0.59738, 63.73590 },
4269 { 4695.7, 2.14919, 227.52619 },
4270 { 4044.0, 1.64010, 209.36694 },
4271 { 3688.1, 0.78016, 412.37110 },
4272 { 3376.5, 3.69528, 224.34480 },
4273 { 2885.3, 1.38764, 838.96929 },
4274 { 2976.0, 5.68468, 210.11770 },
4275 { 3419.6, 4.94549, 1581.95935 },
4276 { 3460.9, 1.85089, 175.16606 },
4277 { 3400.6, 0.55387, 350.33212 },
4278 { 2507.6, 3.53852, 742.99006 },
4279 { 2448.3, 6.18412, 1368.66025 },
4280 { 2406.1, 2.96559, 117.31987 },
4281 { 2881.2, 0.17961, 853.19638 },
4282 { 2174.0, 0.01509, 340.77089 },
4283 { 2024.5, 5.05411, 11.04570 },
4284 { 1740.3, 2.34657, 309.27832 },
4285 { 1861.4, 5.93362, 625.67019 },
4286 { 1888.4, 0.02968, 3.93215 },
4287 { 1610.9, 1.17302, 74.78160 },
4288 { 1462.6, 1.92588, 216.48049 },
4289 { 1474.5, 5.67670, 203.73787 },
4290 { 1395.1, 5.93669, 127.47180 },
4291 { 1781.2, 0.76314, 217.23125 },
4292 { 1817.2, 5.77713, 490.33409 },
4293 { 1472.4, 1.40065, 137.03302 },
4294 { 1304.1, 0.77236, 647.01083 },
4295 { 1149.8, 5.74021, 1162.47470 },
4296 { 1126.7, 4.46708, 265.98929 },
4297 { 1277.5, 2.98413, 1059.38193 },
4298 { 1207.1, 0.75286, 351.81659 },
4299 { 1071.4, 1.13567, 1155.36116 },
4300 { 1020.9, 5.91234, 1685.05212 },
4301 { 1315.0, 5.11203, 211.81462 },
4302 { 1295.6, 4.69184, 1898.35122 },
4303 { 1099.0, 1.81765, 149.56320 },
4304 { 998.5, 2.6313, 200.7689 },
4305 { 985.9, 2.2599, 956.2892 },
4306 { 932.4, 3.6698, 554.0700 },
4307 { 664.5, 0.6030, 728.7630 },
4308 { 659.8, 4.6664, 195.1398 },
4309 { 617.7, 5.6209, 942.0621 },
4310 { 626.4, 5.9421, 1478.8666 },
4311 { 482.2, 1.8407, 479.2884 },
4312 { 487.7, 2.7937, 3.1814 },
4313 { 470.1, 0.8385, 1471.7530 },
4314 { 451.8, 5.6447, 2001.4440 },
4315 { 553.1, 3.4109, 269.9214 },
4316 { 534.4, 1.2644, 275.5505 },
4317 { 472.6, 1.8820, 515.4639 },
4318 { 405.4, 1.6400, 536.8045 },
4319 { 517.2, 4.4431, 2214.7431 },
4320 { 452.8, 3.0035, 302.1648 },
4321 { 494.3, 2.2863, 278.5195 },
4322 { 489.8, 5.8063, 191.2077 },
4323 { 427.5, 0.0574, 284.1485 },
4324 { 339.8, 1.4020, 440.8253 },
4325 { 340.6, 0.8909, 628.8516 },
4326 { 386.0, 1.9970, 1272.6810 },
4327 { 288.3, 1.1216, 422.6660 },
4328 { 294.4, 0.4258, 312.1991 },
4329 { 262.5, 0.3175, 1045.1548 },
4330 { 295.3, 0.6714, 88.8657 },
4331 { 343.0, 5.8560, 1795.2584 },
4332 { 341.1, 2.3759, 525.4982 },
4333 { 234.0, 4.2276, 114.1385 },
4334 { 223.7, 2.2813, 330.6190 },
4335 { 275.8, 0.4783, 38.1330 },
4336 { 224.6, 0.5475, 1788.1449 },
4337 { 303.3, 0.8795, 6069.7768 },
4338 { 292.1, 6.2142, 210.8514 },
4339 { 226.1, 0.3750, 142.4497 },
4340 { 277.3, 5.3192, 692.5875 },
4341 { 242.9, 5.3719, 1258.4539 },
4342 { 205.6, 0.9576, 288.0807 },
4343 { 207.6, 5.3813, 2317.8359 },
4344 { 186.8, 6.0359, 404.5068 },
4345 { 218.5, 5.2561, 212.3359 },
4346 { 222.2, 5.9459, 39.3569 },
4347 { 179.7, 4.4105, 408.4389 },
4348 { 241.4, 1.1253, 388.4652 },
4349 { 197.1, 3.9014, 52.6902 },
4350 { 236.6, 0.9080, 1375.7738 },
4351 { 171.9, 5.5632, 213.3473 },
4352 { 169.9, 2.8567, 99.1606 },
4353 { 214.4, 4.2025, 2531.1350 },
4354 { 172.0, 2.3654, 213.2509 },
4355 { 165.7, 2.6368, 215.7468 },
4356 { 230.9, 5.4946, 191.9585 },
4357 { 177.6, 0.3816, 430.5303 },
4358 { 191.5, 2.9591, 437.6439 },
4359 { 163.2, 3.4583, 617.8059 },
4360 { 162.3, 5.7305, 203.0042 },
4361 { 175.1, 5.7140, 1066.4955 },
4362 { 183.0, 5.6685, 2111.6503 },
4363 { 150.1, 4.4066, 417.0370 },
4364 { 187.9, 6.0792, 563.6312 },
4365 { 145.1, 5.0818, 423.4168 },
4366 { 137.5, 5.4391, 222.8603 },
4367 { 172.8, 1.8492, 1589.0729 },
4368 { 165.5, 2.8913, 214.2623 },
4369 { 145.7, 1.5657, 831.8557 },
4370 { 176.9, 2.3032, 9999.9865 },
4371 { 128.9, 2.5534, 414.0680 },
4372 { 120.1, 0.0433, 1361.5467 },
4373 { 143.4, 0.9982, 76.2661 },
4374 { 108.7, 2.0928, 207.6700 },
4375 { 132.1, 2.8590, 312.4597 },
4376 { 112.2, 0.2622, 2104.5368 },
4377 { 125.2, 4.7835, 205.2223 },
4378 { 104.4, 3.6367, 65.2204 },
4379 { 107.4, 3.6706, 212.7778 },
4380 { 108.6, 2.8549, 21.3406 },
4381 { 97.7, 5.122, 2634.228 },
4382 { 109.1, 1.6323, 208.6332 },
4383 { 96.9, 4.199, 305.346 },
4384 { 96.5, 2.560, 1692.166 },
4385 { 85.8, 4.545, 210.378 },
4386 { 99.2, 5.138, 1574.846 },
4387 { 112.5, 5.0311, 703.6332 },
4388 { 84.0, 1.183, 429.780 },
4389 { 89.0, 5.388, 107.025 },
4390 { 110.2, 2.4366, 355.7487 },
4391 { 90.7, 4.209, 213.820 },
4392 { 95.9, 5.446, 2428.042 },
4393 { 94.1, 2.398, 483.221 },
4394 { 85.6, 0.034, 860.310 },
4395 { 88.8, 4.058, 128.956 },
4396 { 82.0, 1.665, 62.251 },
4397 { 91.2, 3.969, 2847.527 },
4398 { 84.0, 4.608, 177.874 },
4399 { 88.4, 3.868, 140.002 },
4400 { 93.3, 0.738, 831.105 },
4401 { 91.9, 2.950, 35.425 },
4402 { 87.1, 1.334, 1905.465 },
4403 { 96.6, 4.844, 131.404 },
4404 { 71.0, 0.993, 405.258 },
4405 { 95.3, 2.515, 2.448 },
4406 { 72.5, 4.632, 245.542 },
4407 { 82.6, 1.528, 145.631 },
4408 { 76.7, 3.152, 767.369 },
4409 { 70.3, 4.043, 173.942 },
4410 { 86.0, 2.301, 85.827 },
4411 { 66.5, 4.751, 70.849 },
4412 { 65.8, 2.469, 280.967 },
4413 { 64.8, 0.093, 9.561 },
4414 { 71.6, 0.012, 565.116 },
4415 { 66.5, 1.080, 339.286 },
4416 { 63.5, 2.017, 234.640 },
4417 { 60.8, 5.120, 756.323 },
4418 { 58.1, 6.057, 1677.939 },
4419 { 64.2, 1.286, 1148.248 },
4420 { 73.1, 4.378, 425.114 },
4421 { 55.0, 3.859, 342.255 },
4422 { 57.1, 6.267, 2420.929 },
4423 { 64.1, 4.099, 327.438 },
4424 { 55.3, 1.605, 543.024 },
4425 { 58.0, 5.473, 347.884 },
4426 { 73.6, 3.723, 92.047 },
4427 { 73.8, 3.570, 1.484 },
4428 { 64.9, 2.447, 267.474 },
4429 { 54.4, 3.715, 344.703 },
4430 { 49.8, 3.935, 192.692 },
4431 { 49.5, 3.228, 333.657 },
4432 { 47.5, 3.929, 199.284 },
4433 { 49.4, 4.903, 217.492 },
4434 { 62.7, 4.401, 214.784 },
4435 { 46.4, 2.094, 212.548 },
4436 { 46.3, 2.640, 10.295 },
4437 { 54.3, 1.072, 362.862 },
4438 { 58.7, 2.623, 225.829 },
4439 { 48.5, 3.152, 216.220 },
4440 { 46.3, 4.862, 2950.620 },
4441 { 46.0, 4.973, 198.321 },
4442 { 46.7, 2.450, 207.149 },
4443 { 44.9, 1.776, 223.594 },
4444 { 44.5, 5.560, 264.505 },
4445 { 55.9, 4.295, 329.725 },
4446 { 49.6, 5.208, 2744.434 },
4447 { 58.8, 4.231, 700.664 },
4448 { 52.6, 3.792, 343.219 },
4449 { 41.5, 0.745, 125.987 },
4450 { 47.8, 2.393, 207.882 },
4451 { 56.2, 2.072, 124.433 },
4452 { 43.3, 1.837, 106.274 },
4453 { 39.8, 4.009, 12.530 },
4454 { 53.9, 4.979, 134.585 },
4455 { 50.1, 5.759, 320.324 },
4456 { 45.0, 5.357, 218.928 },
4457 { 41.1, 4.923, 1891.238 },
4458 { 46.5, 2.066, 2008.558 },
4459 { 42.9, 0.399, 357.446 },
4460 { 38.0, 2.065, 247.239 },
4461 { 48.7, 5.328, 3127.313 },
4462 { 34.6, 5.626, 99.911 },
4463 { 41.1, 2.473, 237.678 },
4464 { 40.8, 4.084, 621.738 },
4465 { 34.2, 0.731, 750.104 },
4466 { 34.0, 5.313, 206.234 },
4467 { 36.5, 1.688, 22.091 },
4468 { 39.4, 3.457, 241.610 },
4469 { 34.8, 2.248, 487.365 },
4470 { 33.0, 4.866, 209.106 },
4471 { 32.6, 2.227, 319.573 },
4472 { 39.0, 3.739, 3163.919 },
4473 { 32.7, 1.066, 252.656 },
4474 { 38.7, 4.396, 18.159 },
4475 { 34.5, 1.826, 380.128 },
4476 { 41.5, 0.081, 210.330 },
4477 { 33.5, 5.805, 251.432 },
4478 { 31.2, 1.965, 244.319 },
4479 { 30.5, 2.269, 1169.588 },
4480 { 34.8, 5.963, 217.965 },
4481 { 38.5, 4.437, 160.609 },
4482 { 36.0, 3.833, 56.622 },
4483 { 31.0, 4.899, 144.147 },
4484 { 32.3, 3.582, 231.458 },
4485 { 28.8, 5.801, 1994.330 },
4486 { 32.2, 2.132, 206.137 },
4487 { 32.6, 1.931, 98.900 },
4488 { 34.9, 5.653, 497.448 },
4489 { 28.9, 2.217, 14.978 },
4490 { 31.6, 3.818, 73.297 },
4491 { 32.2, 0.998, 1464.639 },
4492 { 29.2, 5.984, 2737.321 },
4493 { 36.7, 4.755, 348.848 },
4494 { 28.7, 1.687, 78.714 },
4495 { 27.5, 6.121, 214.050 },
4496 { 28.8, 0.044, 5.629 },
4497 { 27.2, 0.246, 313.210 },
4498 { 32.4, 3.779, 33.940 },
4499 { 27.1, 5.203, 148.079 },
4500 { 35.0, 3.439, 273.103 },
4501 { 33.1, 2.447, 969.622 },
4502 { 27.7, 1.446, 258.876 },
4503 { 27.2, 4.259, 179.359 },
4504 { 27.9, 0.788, 546.956 },
4505 { 29.1, 4.839, 905.887 },
4506 { 27.4, 2.449, 254.944 },
4507 { 34.3, 6.009, 166.829 },
4508 { 28.9, 6.029, 188.920 },
4509 { 26.0, 0.650, 654.124 },
4510 { 33.6, 1.237, 2221.857 },
4511 { 27.8, 5.178, 5.417 },
4512 { 25.6, 3.359, 0.963 },
4513 { 28.8, 0.755, 488.850 },
4514 { 31.2, 2.053, 282.452 },
4515 { 25.4, 5.290, 636.716 },
4516 { 25.3, 4.970, 3060.826 },
4517 { 29.6, 3.927, 206.707 },
4518 { 28.3, 2.721, 32.243 },
4519 { 26.9, 2.863, 24.379 },
4520 { 28.3, 4.731, 552.586 },
4521 { 25.3, 5.120, 168.053 },
4522 { 26.4, 1.593, 491.819 },
4523 { 27.1, 5.537, 555.554 },
4524 { 27.3, 3.579, 561.184 },
4525 { 25.2, 1.781, 182.280 },
4526 { 25.6, 1.621, 2324.949 },
4527 { 25.6, 2.099, 248.724 },
4528 /* 288 terms retained, 917 terms dropped, error 8.7e-06 a.u. */
4529
4530 /* saturn r, T^1 */
4531 { 6182981.3, 0.25843515, 213.29909544 },
4532 { 506577.6, 0.7111465, 206.1855484 },
4533 { 341394.1, 5.7963577, 426.5981909 },
4534 { 188491.4, 0.4721572, 220.4126424 },
4535 { 186261.5, 3.1415927, 0 },
4536 { 143891.2, 1.4074486, 7.1135470 },
4537 { 49621.1, 6.017445, 103.092774 },
4538 { 20928.2, 5.092457, 639.897286 },
4539 { 19952.6, 1.175601, 419.484644 },
4540 { 18839.6, 1.608196, 110.206321 },
4541 { 12892.8, 5.943303, 433.711738 },
4542 { 13876.6, 0.758862, 199.072001 },
4543 { 5396.7, 1.28852, 14.22709 },
4544 { 4869.3, 0.86794, 323.50542 },
4545 { 4247.5, 0.39299, 227.52619 },
4546 { 3252.1, 1.25853, 95.97923 },
4547 { 2856.0, 2.16731, 735.87651 },
4548 { 2909.4, 4.60679, 202.25340 },
4549 { 3081.4, 3.43663, 522.57742 },
4550 { 1987.7, 2.45054, 412.37110 },
4551 { 1941.3, 6.02393, 209.36694 },
4552 { 1581.4, 1.29192, 210.11770 },
4553 { 1339.5, 4.30802, 853.19638 },
4554 { 1315.6, 1.25296, 117.31987 },
4555 { 1203.1, 1.86655, 316.39187 },
4556 { 1091.1, 0.07527, 216.48049 },
4557 { 954.4, 5.1517, 647.0108 },
4558 { 966.0, 0.4799, 632.7837 },
4559 { 881.8, 1.8847, 1052.2684 },
4560 { 874.2, 1.4022, 224.3448 },
4561 { 897.5, 0.9834, 529.6910 },
4562 { 784.9, 3.0638, 838.9693 },
4563 { 739.9, 1.3823, 625.6702 },
4564 { 613.0, 3.0331, 63.7359 },
4565 { 658.2, 4.1436, 309.2783 },
4566 { 649.6, 1.7249, 742.9901 },
4567 { 599.2, 2.5492, 217.2312 },
4568 { 502.9, 2.1296, 3.9322 },
4569 { 413.0, 4.5933, 415.5525 },
4570 { 356.1, 2.3031, 728.7630 },
4571 { 344.8, 5.8879, 440.8253 },
4572 { 395.0, 0.5335, 956.2892 },
4573 { 335.5, 1.6161, 1368.6603 },
4574 { 362.8, 4.7069, 302.1648 },
4575 { 321.6, 0.9793, 3.1814 },
4576 { 277.8, 0.2601, 195.1398 },
4577 { 291.2, 2.8313, 1155.3612 },
4578 { 265.0, 2.4267, 88.8657 },
4579 { 264.9, 5.8286, 149.5632 },
4580 { 316.8, 3.5840, 515.4639 },
4581 { 294.3, 2.8163, 11.0457 },
4582 { 244.9, 1.0449, 942.0621 },
4583 { 215.4, 3.5654, 490.3341 },
4584 { 264.0, 1.2855, 1059.3819 },
4585 { 246.2, 0.9073, 191.9585 },
4586 { 222.1, 5.1319, 269.9214 },
4587 { 195.0, 4.5667, 846.0828 },
4588 { 182.8, 2.6791, 127.4718 },
4589 { 181.6, 4.9343, 74.7816 },
4590 { 174.7, 3.4456, 137.0330 },
4591 { 165.5, 5.9978, 536.8045 },
4592 { 154.8, 1.1972, 265.9893 },
4593 { 169.7, 4.6346, 284.1485 },
4594 { 151.5, 0.5293, 330.6190 },
4595 { 152.5, 5.4389, 422.6660 },
4596 { 157.7, 2.9956, 340.7709 },
4597 { 140.6, 2.0207, 1045.1548 },
4598 { 139.8, 1.3528, 1685.0521 },
4599 { 141.0, 1.2710, 203.0042 },
4600 { 136.0, 5.0168, 351.8166 },
4601 { 153.4, 0.2697, 1272.6810 },
4602 { 129.5, 1.1434, 21.3406 },
4603 { 127.8, 2.5388, 1471.7530 },
4604 { 126.5, 3.0031, 277.0350 },
4605 { 100.3, 3.6136, 1066.4955 },
4606 { 103.2, 0.3818, 203.7379 },
4607 { 107.5, 4.3187, 210.8514 },
4608 { 95.9, 0.795, 1258.454 },
4609 { 82.7, 0.282, 234.640 },
4610 { 98.0, 2.561, 191.208 },
4611 { 97.4, 3.262, 831.856 },
4612 { 72.2, 4.380, 860.310 },
4613 { 70.6, 0.732, 437.644 },
4614 { 70.4, 0.877, 423.417 },
4615 { 72.1, 5.580, 429.780 },
4616 { 73.3, 0.625, 1375.774 },
4617 { 66.4, 2.684, 405.258 },
4618 { 63.8, 1.751, 1361.547 },
4619 { 61.6, 1.093, 2001.444 },
4620 { 67.0, 0.069, 408.439 },
4621 { 68.9, 2.471, 949.176 },
4622 { 60.5, 2.251, 1788.145 },
4623 { 67.1, 5.454, 200.769 },
4624 { 65.6, 0.055, 1589.073 },
4625 { 49.3, 4.172, 138.517 },
4626 { 50.6, 6.269, 223.594 },
4627 { 55.2, 4.595, 628.852 },
4628 { 47.9, 0.839, 10.295 },
4629 { 46.7, 2.173, 312.199 },
4630 { 54.2, 0.284, 124.433 },
4631 { 49.5, 3.800, 215.747 },
4632 { 40.1, 5.182, 1478.867 },
4633 { 39.3, 0.563, 1574.846 },
4634 { 35.0, 4.685, 38.133 },
4635 { 42.8, 2.986, 1148.248 },
4636 { 36.5, 0.635, 52.690 },
4637 { 39.8, 0.284, 131.404 },
4638 { 31.8, 5.190, 76.266 },
4639 { 33.0, 1.980, 142.450 },
4640 { 42.1, 4.830, 288.081 },
4641 { 30.8, 1.479, 1677.939 },
4642 { 42.8, 3.382, 208.633 },
4643 { 29.2, 5.099, 654.124 },
4644 { 29.2, 4.957, 1795.258 },
4645 { 29.1, 2.747, 404.507 },
4646 { 32.7, 6.121, 145.631 },
4647 { 28.0, 0.832, 2317.836 },
4648 { 27.7, 2.244, 430.530 },
4649 { 29.9, 1.964, 2104.537 },
4650 { 33.0, 3.282, 222.860 },
4651 { 31.8, 6.025, 1905.465 },
4652 { 27.0, 5.243, 388.465 },
4653 { 26.5, 0.996, 107.025 },
4654 { 25.4, 2.873, 703.633 },
4655 { 24.9, 1.077, 99.911 },
4656 { 25.0, 6.240, 106.274 },
4657 { 24.9, 0.810, 312.460 },
4658 { 24.3, 0.549, 214.262 },
4659 { 28.4, 0.826, 1692.166 },
4660 { 23.2, 5.080, 479.288 },
4661 { 24.4, 3.106, 212.336 },
4662 { 22.0, 6.067, 85.827 },
4663 { 22.0, 3.899, 563.631 },
4664 { 22.6, 4.867, 295.051 },
4665 { 21.3, 5.108, 333.657 },
4666 { 26.0, 2.208, 1265.567 },
4667 { 20.9, 3.289, 70.849 },
4668 { 21.5, 3.795, 347.884 },
4669 { 22.1, 4.227, 217.965 },
4670 { 20.6, 1.687, 231.458 },
4671 { 21.4, 3.089, 554.070 },
4672 { 21.3, 0.389, 319.573 },
4673 { 20.5, 2.457, 18.159 },
4674 { 26.1, 4.276, 483.221 },
4675 { 20.7, 5.121, 362.862 },
4676 { 22.0, 5.512, 343.219 },
4677 { 19.4, 2.024, 313.210 },
4678 { 20.2, 5.085, 750.104 },
4679 { 20.1, 3.430, 213.347 },
4680 { 24.2, 0.648, 207.882 },
4681 { 22.0, 0.729, 99.161 },
4682 { 21.1, 2.693, 1464.639 },
4683 { 17.2, 4.715, 2111.650 },
4684 { 18.5, 0.048, 245.542 },
4685 { 17.5, 3.837, 497.448 },
4686 { 16.1, 4.224, 565.116 },
4687 { 21.6, 4.166, 2.448 },
4688 { 16.0, 0.274, 225.829 },
4689 { 16.8, 1.411, 114.138 },
4690 { 15.6, 2.828, 81.752 },
4691 { 15.5, 1.206, 1994.330 },
4692 { 15.2, 3.846, 1162.475 },
4693 { 16.4, 3.048, 134.585 },
4694 { 15.9, 0.330, 1891.238 },
4695 { 20.4, 0.232, 213.251 },
4696 { 16.3, 1.706, 2420.929 },
4697 { 16.3, 4.942, 357.446 },
4698 { 18.1, 5.695, 56.622 },
4699 { 13.7, 0.572, 2634.228 },
4700 { 17.4, 3.553, 218.928 },
4701 { 13.7, 5.705, 92.047 },
4702 { 15.3, 1.313, 216.220 },
4703 { 12.5, 5.192, 635.965 },
4704 { 12.8, 1.602, 320.324 },
4705 { 13.0, 0.451, 1169.588 },
4706 { 12.0, 5.949, 543.918 },
4707 { 11.8, 2.803, 217.492 },
4708 { 14.7, 5.565, 344.703 },
4709 { 12.8, 1.636, 273.103 },
4710 { 11.9, 2.462, 721.649 },
4711 { 13.3, 5.756, 2221.857 },
4712 { 14.5, 0.453, 2008.558 },
4713 { 11.8, 1.757, 160.609 },
4714 { 12.4, 1.015, 329.725 },
4715 { 10.7, 1.581, 212.778 },
4716 { 12.8, 1.920, 1581.959 },
4717 { 11.9, 4.447, 32.243 },
4718 { 11.9, 5.107, 4.666 },
4719 { 11.9, 4.308, 618.557 },
4720 { 10.0, 0.487, 305.346 },
4721 { 12.8, 3.744, 508.350 },
4722 { 10.7, 0.766, 218.716 },
4723 { 11.4, 3.000, 198.321 },
4724 { 10.2, 2.409, 546.956 },
4725 { 10.0, 2.639, 416.303 },
4726 { 9.3, 5.46, 414.07 },
4727 { 9.3, 4.46, 2428.04 },
4728 { 9.9, 4.05, 62.25 },
4729 { 12.8, 3.433, 258.876 },
4730 { 9.7, 1.61, 327.44 },
4731 { 11.2, 2.407, 1781.031 },
4732 { 10.6, 2.075, 213.820 },
4733 { 9.1, 2.92, 1279.79 },
4734 { 9.5, 1.10, 113.39 },
4735 { 9.8, 3.28, 275.55 },
4736 { 11.3, 1.894, 561.184 },
4737 { 8.6, 2.18, 425.11 },
4738 { 8.6, 1.95, 35.42 },
4739 { 10.2, 0.090, 182.280 },
4740 { 11.8, 3.713, 350.332 },
4741 { 8.6, 1.83, 629.60 },
4742 { 8.4, 3.77, 251.43 },
4743 { 8.5, 0.36, 617.81 },
4744 { 8.2, 5.31, 65.22 },
4745 { 8.3, 1.38, 1.48 },
4746 { 8.0, 5.14, 22.09 },
4747 { 8.4, 0.92, 1485.98 },
4748 { 8.0, 0.94, 2310.72 },
4749 { 8.9, 0.54, 168.05 },
4750 { 8.2, 3.46, 424.15 },
4751 { 8.0, 3.38, 144.15 },
4752 { 7.9, 5.14, 358.93 },
4753 { 8.9, 6.14, 621.74 },
4754 { 7.5, 5.75, 447.94 },
4755 { 7.5, 2.19, 264.50 },
4756 { 8.1, 1.43, 2737.32 },
4757 { 8.2, 0.96, 767.37 },
4758 { 8.2, 0.35, 278.52 },
4759 { 8.2, 5.44, 254.94 },
4760 { 6.8, 1.20, 5.42 },
4761 { 8.9, 4.88, 120.36 },
4762 { 7.8, 4.56, 280.97 },
4763 { 6.6, 3.50, 9.56 },
4764 { 6.4, 0.33, 2950.62 },
4765 { 6.9, 3.39, 98.90 },
4766 { 7.4, 4.52, 5.63 },
4767 { 8.0, 0.94, 636.72 },
4768 { 7.2, 3.85, 214.05 },
4769 { 6.4, 2.12, 274.07 },
4770 { 6.5, 5.31, 6076.89 },
4771 { 6.4, 0.45, 10007.10 },
4772 { 6.3, 3.21, 219.45 },
4773 { 6.7, 1.65, 1898.35 },
4774 { 7.6, 0.10, 2324.95 },
4775 { 6.3, 0.76, 210.38 },
4776 { 6.6, 1.79, 12.53 },
4777 /* 246 terms retained, 393 terms dropped, error 2.1e-06 a.u.*T */
4778
4779 /* saturn r, T^2 */
4780 { 436902.5, 4.7867167, 213.2990954 },
4781 { 71922.8, 2.500700, 206.185548 },
4782 { 49766.8, 4.971682, 220.412642 },
4783 { 43220.9, 3.869404, 426.598191 },
4784 { 29645.6, 5.963103, 7.113547 },
4785 { 4141.6, 4.10671, 433.71174 },
4786 { 4720.9, 2.47528, 199.07200 },
4787 { 3789.4, 3.09771, 639.89729 },
4788 { 2964.0, 1.37206, 103.09277 },
4789 { 2556.4, 2.85066, 419.48464 },
4790 { 2208.5, 6.27589, 110.20632 },
4791 { 2187.6, 5.85546, 14.22709 },
4792 { 1956.9, 4.92449, 227.52619 },
4793 { 2326.8, 0, 0 },
4794 { 923.8, 5.4639, 323.5054 },
4795 { 705.9, 2.9708, 95.9792 },
4796 { 546.1, 4.1285, 412.3711 },
4797 { 373.8, 5.8344, 117.3199 },
4798 { 360.9, 3.2770, 647.0108 },
4799 { 356.3, 3.1915, 210.1177 },
4800 { 390.6, 4.4811, 216.4805 },
4801 { 431.5, 5.1783, 522.5774 },
4802 { 325.6, 2.2687, 853.1964 },
4803 { 405.0, 4.1729, 209.3669 },
4804 { 204.5, 0.0877, 202.2534 },
4805 { 206.9, 4.0219, 735.8765 },
4806 { 178.5, 4.0972, 440.8253 },
4807 { 180.1, 3.5970, 632.7837 },
4808 { 153.7, 3.1347, 625.6702 },
4809 { 147.8, 0.1361, 302.1648 },
4810 { 123.2, 4.1890, 88.8657 },
4811 { 133.1, 2.5935, 191.9585 },
4812 { 100.4, 5.4606, 3.1814 },
4813 { 132.0, 5.9329, 309.2783 },
4814 { 97.2, 4.018, 728.763 },
4815 { 110.7, 4.7785, 838.9693 },
4816 { 119.1, 5.5539, 224.3448 },
4817 { 93.9, 4.384, 217.231 },
4818 { 108.7, 5.2931, 515.4639 },
4819 { 78.6, 5.725, 21.341 },
4820 { 81.5, 5.109, 956.289 },
4821 { 96.4, 6.259, 742.990 },
4822 { 69.2, 4.049, 3.932 },
4823 { 65.2, 3.777, 1052.268 },
4824 { 64.1, 5.812, 529.691 },
4825 { 62.5, 2.184, 195.140 },
4826 { 57.0, 3.147, 203.004 },
4827 { 56.0, 4.841, 234.640 },
4828 { 52.9, 5.078, 330.619 },
4829 { 50.6, 2.773, 942.062 },
4830 { 41.6, 4.790, 63.736 },
4831 { 44.9, 0.565, 269.921 },
4832 { 41.4, 3.735, 316.392 },
4833 { 52.8, 3.926, 949.176 },
4834 { 38.4, 3.740, 1045.155 },
4835 { 37.6, 4.189, 536.805 },
4836 { 35.3, 2.908, 284.149 },
4837 { 33.6, 3.805, 149.563 },
4838 { 41.1, 4.579, 1155.361 },
4839 { 30.4, 2.481, 860.310 },
4840 { 31.4, 4.841, 1272.681 },
4841 { 30.2, 4.352, 405.258 },
4842 { 39.4, 3.509, 422.666 },
4843 { 29.7, 1.589, 1066.495 },
4844 { 35.2, 5.945, 1059.382 },
4845 { 25.8, 3.549, 1368.660 },
4846 { 26.3, 4.816, 124.433 },
4847 { 30.0, 3.663, 429.780 },
4848 { 33.0, 4.969, 831.856 },
4849 { 24.3, 5.311, 10.295 },
4850 { 26.3, 4.453, 223.594 },
4851 { 22.1, 2.761, 415.552 },
4852 { 27.2, 1.663, 277.035 },
4853 { 21.6, 1.038, 11.046 },
4854 { 19.7, 2.522, 1258.454 },
4855 { 17.1, 3.277, 654.124 },
4856 { 17.3, 3.494, 1361.547 },
4857 { 16.1, 1.734, 490.334 },
4858 { 21.1, 3.621, 1265.567 },
4859 { 17.7, 4.311, 1471.753 },
4860 { 13.5, 0.323, 295.051 },
4861 { 12.6, 3.138, 74.782 },
4862 { 12.0, 2.329, 210.851 },
4863 { 15.1, 3.596, 265.989 },
4864 { 13.0, 4.624, 1589.073 },
4865 { 15.4, 5.013, 127.472 },
4866 { 11.2, 4.550, 81.752 },
4867 { 13.4, 4.887, 437.644 },
4868 { 10.7, 5.052, 191.208 },
4869 { 14.0, 3.050, 423.417 },
4870 { 10.6, 5.028, 137.033 },
4871 { 14.4, 4.687, 1148.248 },
4872 { 13.5, 1.903, 408.439 },
4873 { 10.1, 5.204, 340.771 },
4874 { 10.3, 3.345, 1685.052 },
4875 { 9.6, 3.17, 351.82 },
4876 { 11.3, 5.478, 1375.774 },
4877 { 8.6, 2.81, 99.91 },
4878 { 8.5, 3.23, 1677.94 },
4879 { 7.9, 2.36, 1574.85 },
4880 { 7.6, 6.08, 231.46 },
4881 { 9.2, 3.40, 1581.96 },
4882 { 7.3, 2.00, 131.40 },
4883 { 8.2, 4.04, 1788.14 },
4884 { 7.6, 3.68, 846.08 },
4885 { 6.7, 4.37, 145.63 },
4886 { 7.5, 3.29, 750.10 },
4887 { 6.4, 4.00, 447.94 },
4888 { 6.2, 4.56, 106.27 },
4889 { 6.5, 1.34, 215.75 },
4890 { 6.5, 3.78, 313.21 },
4891 { 6.0, 0.55, 18.16 },
4892 { 6.2, 2.85, 138.52 },
4893 { 6.8, 4.83, 319.57 },
4894 { 6.7, 5.43, 508.35 },
4895 { 7.2, 4.38, 1464.64 },
4896 { 5.8, 4.14, 543.92 },
4897 { 5.7, 4.35, 1905.46 },
4898 { 5.1, 2.64, 288.08 },
4899 { 5.3, 3.63, 6076.89 },
4900 { 5.5, 4.20, 721.65 },
4901 { 5.1, 5.05, 10007.10 },
4902 { 5.5, 1.13, 56.62 },
4903 { 4.8, 3.30, 76.27 },
4904 { 4.9, 6.18, 483.22 },
4905 { 5.0, 2.45, 628.85 },
4906 { 4.5, 1.20, 200.77 },
4907 { 4.8, 3.12, 2001.44 },
4908 { 4.7, 1.27, 6062.66 },
4909 { 4.8, 5.78, 184.84 },
4910 { 4.8, 0.76, 333.66 },
4911 { 4.5, 0.95, 343.22 },
4912 { 4.5, 2.69, 9992.87 },
4913 { 4.4, 0.80, 222.86 },
4914 { 4.9, 5.92, 618.56 },
4915 { 4.1, 1.92, 497.45 },
4916 { 5.1, 4.50, 416.30 },
4917 { 4.1, 1.98, 347.88 },
4918 { 4.0, 2.88, 38.13 },
4919 { 4.1, 2.90, 107.02 },
4920 { 4.0, 2.93, 1994.33 },
4921 { 4.9, 3.12, 1898.35 },
4922 { 3.7, 3.25, 362.86 },
4923 { 3.8, 0.88, 703.63 },
4924 { 3.6, 3.48, 388.47 },
4925 { 3.6, 4.08, 430.53 },
4926 { 3.6, 0.05, 32.24 },
4927 { 3.6, 5.46, 6283.08 },
4928 { 3.5, 1.82, 70.85 },
4929 { 3.8, 3.12, 635.97 },
4930 { 3.4, 0.55, 10213.29 },
4931 { 3.4, 3.52, 629.60 },
4932 { 3.4, 3.28, 357.45 },
4933 { 3.3, 1.98, 203.74 },
4934 { 3.1, 2.18, 1891.24 },
4935 { 3.2, 1.26, 134.59 },
4936 { 4.0, 5.45, 1692.17 },
4937 { 3.2, 2.46, 867.42 },
4938 { 3.4, 4.21, 337.73 },
4939 { 3.0, 2.19, 217.96 },
4940 { 3.6, 5.55, 113.39 },
4941 { 3.7, 3.79, 2104.54 },
4942 { 3.1, 4.09, 1478.87 },
4943 { 2.9, 3.91, 312.20 },
4944 { 3.2, 3.92, 1038.04 },
4945 { 4.0, 5.18, 404.51 },
4946 { 3.9, 4.12, 1781.03 },
4947 { 3.1, 1.61, 1073.61 },
4948 { 3.1, 5.01, 312.46 },
4949 { 3.0, 5.46, 258.88 },
4950 { 2.9, 2.38, 181.06 },
4951 { 3.0, 0.89, 1279.79 },
4952 { 2.7, 0.01, 195.89 },
4953 { 3.1, 5.60, 216.22 },
4954 { 2.6, 6.13, 273.10 },
4955 { 2.7, 2.32, 565.12 },
4956 { 3.2, 3.88, 85.83 },
4957 { 2.7, 5.74, 160.61 },
4958 { 2.9, 4.75, 213.25 },
4959 { 2.5, 5.30, 444.76 },
4960 { 2.8, 5.09, 1169.59 },
4961 { 2.9, 1.67, 213.35 },
4962 { 2.9, 4.21, 650.94 },
4963 { 3.0, 2.55, 6069.78 },
4964 { 3.1, 2.67, 52.69 },
4965 { 2.4, 0.90, 121.25 },
4966 { 3.0, 3.97, 9999.99 },
4967 { 3.1, 0.41, 561.18 },
4968 { 2.4, 4.74, 218.72 },
4969 { 2.6, 1.13, 344.70 },
4970 { 2.3, 4.08, 131.55 },
4971 { 2.2, 3.38, 22.09 },
4972 { 2.1, 3.32, 358.93 },
4973 { 2.7, 1.69, 208.63 },
4974 { 2.6, 5.10, 824.74 },
4975 { 2.2, 2.60, 305.35 },
4976 { 2.1, 3.37, 320.32 },
4977 { 2.7, 3.62, 436.89 },
4978 { 2.5, 2.96, 2214.74 },
4979 { 2.7, 2.88, 643.08 },
4980 { 2.1, 1.61, 218.93 },
4981 { 2.0, 4.63, 188.03 },
4982 { 2.4, 3.46, 6275.96 },
4983 { 2.0, 2.29, 2627.11 },
4984 { 1.9, 5.67, 28.45 },
4985 { 1.9, 4.26, 546.96 },
4986 { 2.5, 3.58, 2420.93 },
4987 { 1.9, 1.31, 212.34 },
4988 { 1.9, 1.59, 424.15 },
4989 { 1.9, 3.58, 329.73 },
4990 { 2.1, 3.95, 1795.26 },
4991 { 2.2, 4.22, 2221.86 },
4992 { 1.9, 1.69, 350.33 },
4993 { 1.8, 2.07, 144.15 },
4994 { 1.9, 4.61, 182.28 },
4995 { 2.2, 5.18, 99.16 },
4996 { 1.8, 2.73, 291.26 },
4997 { 2.2, 5.43, 207.88 },
4998 { 1.8, 2.24, 168.05 },
4999 { 1.7, 1.32, 219.45 },
5000 { 1.7, 5.56, 92.80 },
5001 { 1.7, 1.95, 129.92 },
5002 { 2.1, 4.85, 1141.13 },
5003 { 1.8, 5.05, 214.26 },
5004 { 1.8, 2.86, 636.72 },
5005 { 1.9, 2.90, 2310.72 },
5006 { 1.8, 5.35, 45.58 },
5007 { 1.7, 6.14, 554.07 },
5008 { 1.6, 4.51, 210.38 },
5009 { 1.7, 3.55, 1354.43 },
5010 { 1.9, 3.01, 2317.84 },
5011 { 1.6, 1.16, 235.39 },
5012 { 1.9, 4.13, 225.83 },
5013 { 1.6, 3.30, 1670.83 },
5014 { 1.9, 0.18, 12.53 },
5015 { 1.6, 5.73, 1485.98 },
5016 { 1.7, 3.44, 2428.04 },
5017 { 1.8, 2.70, 12.74 },
5018 { 1.7, 4.98, 2008.56 },
5019 /* 239 terms retained, 103 terms dropped, error 5.2e-07 a.u.*T^2 */
5020
5021 /* saturn r, T^3 */
5022 { 20315.0, 3.021866, 213.299095 },
5023 { 8923.6, 3.19144, 220.41264 },
5024 { 6908.7, 4.35175, 206.18555 },
5025 { 4087.1, 4.22407, 7.11355 },
5026 { 3879.0, 2.01056, 426.59819 },
5027 { 1070.8, 4.20360, 199.07200 },
5028 { 907.3, 2.2834, 433.7117 },
5029 { 606.1, 3.1746, 227.5262 },
5030 { 596.6, 4.1346, 14.2271 },
5031 { 483.2, 1.1735, 639.8973 },
5032 { 393.2, 0, 0 },
5033 { 229.5, 4.6984, 419.4846 },
5034 { 188.2, 4.5900, 110.2063 },
5035 { 149.5, 3.2020, 103.0928 },
5036 { 121.4, 3.7683, 323.5054 },
5037 { 101.2, 5.8188, 412.3711 },
5038 { 102.1, 4.7097, 95.9792 },
5039 { 93.1, 1.435, 647.011 },
5040 { 72.6, 4.154, 117.320 },
5041 { 84.3, 2.635, 216.480 },
5042 { 62.2, 2.312, 440.825 },
5043 { 45.1, 4.373, 191.958 },
5044 { 49.5, 2.389, 209.367 },
5045 { 54.8, 0.305, 853.196 },
5046 { 40.5, 1.838, 302.165 },
5047 { 38.1, 5.945, 88.866 },
5048 { 32.2, 4.011, 21.341 },
5049 { 40.7, 0.688, 522.577 },
5050 { 28.2, 5.772, 210.118 },
5051 { 25.0, 3.062, 234.640 },
5052 { 20.8, 4.926, 625.670 },
5053 { 25.1, 0.731, 515.464 },
5054 { 17.5, 5.731, 728.763 },
5055 { 18.0, 1.456, 309.278 },
5056 { 16.9, 3.528, 3.181 },
5057 { 13.4, 3.365, 330.619 },
5058 { 11.1, 3.372, 224.345 },
5059 { 11.1, 3.417, 956.289 },
5060 { 10.0, 1.588, 202.253 },
5061 { 11.6, 5.991, 735.877 },
5062 { 10.5, 6.069, 405.258 },
5063 { 9.1, 2.94, 124.43 },
5064 { 8.7, 4.65, 632.78 },
5065 { 10.0, 0.582, 860.310 },
5066 { 7.5, 4.51, 942.06 },
5067 { 10.1, 0.283, 838.969 },
5068 { 9.2, 2.57, 223.59 },
5069 { 8.7, 1.76, 429.78 },
5070 { 7.6, 1.46, 654.12 },
5071 { 7.1, 5.47, 1045.15 },
5072 { 7.0, 1.52, 422.67 },
5073 { 8.1, 4.48, 742.99 },
5074 { 6.8, 4.83, 316.39 },
5075 { 7.7, 0.44, 831.86 },
5076 { 7.9, 4.20, 195.14 },
5077 { 6.1, 2.34, 269.92 },
5078 { 5.6, 1.15, 284.15 },
5079 { 5.6, 4.18, 529.69 },
5080 { 5.0, 2.12, 295.05 },
5081 { 6.6, 3.42, 10.29 },
5082 { 5.5, 2.47, 536.80 },
5083 { 6.2, 6.01, 1066.50 },
5084 { 5.6, 0.83, 217.23 },
5085 { 4.3, 3.23, 1272.68 },
5086 { 4.5, 0.92, 203.00 },
5087 { 3.3, 4.33, 1258.45 },
5088 { 3.7, 0.06, 81.75 },
5089 { 4.0, 0.11, 1155.36 },
5090 { 3.8, 6.01, 1052.27 },
5091 { 2.9, 5.64, 3.93 },
5092 { 3.0, 2.19, 447.94 },
5093 { 3.0, 1.89, 149.56 },
5094 { 3.1, 0.19, 1148.25 },
5095 { 2.8, 0.92, 508.35 },
5096 { 2.8, 4.97, 1677.94 },
5097 { 2.6, 3.00, 1589.07 },
5098 { 2.9, 5.41, 1361.55 },
5099 { 2.3, 1.30, 184.84 },
5100 { 2.5, 3.71, 408.44 },
5101 { 2.5, 3.22, 319.57 },
5102 { 2.6, 2.31, 543.92 },
5103 { 2.3, 5.88, 721.65 },
5104 { 2.0, 0.52, 416.30 },
5105 { 2.5, 4.24, 1059.38 },
5106 { 1.9, 2.41, 337.73 },
5107 { 1.9, 0.54, 635.97 },
5108 { 1.9, 5.62, 11.05 },
5109 { 2.4, 5.73, 313.21 },
5110 { 1.9, 2.41, 131.55 },
5111 { 1.7, 4.58, 1994.33 },
5112 { 1.9, 5.17, 2854.64 },
5113 { 1.9, 6.23, 1471.75 },
5114 { 2.0, 6.18, 1464.64 },
5115 { 1.8, 5.59, 1038.04 },
5116 { 1.5, 0.61, 210.85 },
5117 { 1.6, 1.75, 195.89 },
5118 { 1.6, 0.56, 2324.95 },
5119 { 1.5, 0.27, 497.45 },
5120 { 1.7, 2.58, 2090.31 },
5121 { 1.8, 1.82, 436.89 },
5122 { 1.6, 6.15, 490.33 },
5123 { 1.8, 6.12, 1073.61 },
5124 { 1.5, 0.85, 415.55 },
5125 { 1.6, 2.95, 437.64 },
5126 { 1.4, 4.12, 1574.85 },
5127 { 1.6, 5.97, 1781.03 },
5128 { 1.5, 3.85, 1251.34 },
5129 { 1.4, 5.33, 2538.25 },
5130 { 1.8, 1.51, 750.10 },
5131 { 1.5, 3.29, 1884.12 },
5132 { 1.5, 0.99, 643.08 },
5133 { 1.3, 3.79, 1567.73 },
5134 { 1.7, 0.03, 423.42 },
5135 { 1.5, 5.35, 1354.43 },
5136 { 1.4, 0.70, 867.42 },
5137 { 1.1, 1.80, 618.56 },
5138 { 1.1, 4.70, 113.39 },
5139 { 1.1, 3.96, 1891.24 },
5140 { 1.5, 1.50, 430.53 },
5141 { 1.1, 5.13, 25.27 },
5142 { 1.2, 2.97, 241.75 },
5143 { 1.3, 2.29, 2420.93 },
5144 { 1.1, 0.05, 63.74 },
5145 { 1.4, 5.58, 1382.89 },
5146 { 1.1, 3.11, 2200.52 },
5147 { 1.1, 0.79, 127.47 },
5148 { 1.0, 5.85, 215.75 },
5149 { 1.1, 3.73, 131.40 },
5150 { 1.2, 0.48, 824.74 },
5151 { 1.1, 3.78, 1375.77 },
5152 { 1.0, 5.91, 265.99 },
5153 { 1.2, 1.41, 2634.23 },
5154 { 1.1, 4.80, 1987.22 },
5155 { 0.9, 6.26, 2015.67 },
5156 { 1.0, 1.09, 362.86 },
5157 { 1.1, 5.42, 1279.79 },
5158 { 0.9, 1.92, 483.22 },
5159 { 0.9, 2.97, 934.95 },
5160 { 0.9, 2.66, 145.63 },
5161 { 0.9, 6.26, 2.45 },
5162 { 1.1, 4.48, 2214.74 },
5163 { 1.0, 0.74, 16.67 },
5164 { 1.0, 4.06, 231.46 },
5165 { 0.9, 0.09, 628.85 },
5166 { 0.9, 5.99, 2524.02 },
5167 { 0.9, 3.16, 2207.63 },
5168 { 0.8, 1.24, 74.78 },
5169 { 0.8, 2.90, 2008.56 },
5170 { 0.8, 2.28, 1478.87 },
5171 { 1.0, 5.33, 2428.04 },
5172 { 0.8, 2.38, 2228.97 },
5173 { 0.8, 4.70, 1670.83 },
5174 { 1.0, 4.23, 1802.37 },
5175 { 0.8, 5.87, 1368.66 },
5176 { 0.7, 5.92, 1685.05 },
5177 { 0.8, 1.16, 3053.71 },
5178 { 0.7, 3.13, 56.62 },
5179 /* 157 terms retained, 0 terms dropped, error 1.7e-07 a.u.*T^3 */
5180
5181 /* saturn r, T^4 */
5182 { 1202.0, 1.41499, 220.41264 },
5183 { 707.8, 1.1615, 213.2991 },
5184 { 516.1, 6.2397, 206.1855 },
5185 { 426.7, 2.4692, 7.1135 },
5186 { 267.7, 0.1866, 426.5982 },
5187 { 170.2, 5.9593, 199.0720 },
5188 { 145.1, 1.4421, 227.5262 },
5189 { 150.3, 0.4797, 433.7117 },
5190 { 121.0, 2.4053, 14.2271 },
5191 { 47.3, 5.569, 639.897 },
5192 { 15.7, 2.901, 110.206 },
5193 { 16.7, 0.529, 440.825 },
5194 { 19.0, 5.856, 647.011 },
5195 { 14.1, 1.303, 412.371 },
5196 { 12.7, 2.093, 323.505 },
5197 { 14.7, 0.299, 419.485 },
5198 { 11.1, 2.463, 117.320 },
5199 { 11.3, 0.218, 95.979 },
5200 { 9.2, 2.28, 21.34 },
5201 { 9.2, 1.56, 88.87 },
5202 { 9.0, 0.68, 216.48 },
5203 { 7.7, 3.59, 302.16 },
5204 { 7.8, 4.49, 853.20 },
5205 { 8.4, 1.27, 234.64 },
5206 { 9.6, 3.14, 0 },
5207 { 4.8, 2.59, 515.46 },
5208 { 6.1, 5.17, 103.09 },
5209 { 4.4, 0.02, 191.96 },
5210 { 4.4, 1.60, 330.62 },
5211 { 3.7, 3.30, 210.12 },
5212 { 4.4, 5.97, 654.12 },
5213 { 4.4, 4.97, 860.31 },
5214 { 3.2, 2.73, 522.58 },
5215 { 4.0, 1.60, 405.26 },
5216 { 3.1, 0.75, 209.37 },
5217 { 2.5, 1.19, 124.43 },
5218 { 3.1, 1.32, 728.76 },
5219 { 2.2, 3.28, 203.00 },
5220 { 2.1, 6.15, 429.78 },
5221 { 2.1, 0.75, 295.05 },
5222 { 2.0, 3.89, 1066.50 },
5223 { 2.2, 0.49, 447.94 },
5224 { 2.2, 0.73, 625.67 },
5225 { 1.8, 0.09, 942.06 },
5226 { 1.7, 1.40, 224.34 },
5227 { 1.6, 3.02, 184.84 },
5228 { 1.8, 0.82, 223.59 },
5229 { 1.9, 2.00, 831.86 },
5230 { 1.6, 5.41, 824.74 },
5231 { 1.5, 5.96, 422.67 },
5232 { 1.1, 1.12, 838.97 },
5233 { 1.2, 1.90, 956.29 },
5234 { 1.5, 2.12, 529.69 },
5235 { 1.4, 0.72, 536.80 },
5236 { 1.1, 0.89, 721.65 },
5237 { 1.3, 1.65, 17.41 },
5238 { 1.2, 5.97, 195.14 },
5239 { 1.0, 5.36, 316.39 },
5240 { 1.0, 3.06, 1574.85 },
5241 { 1.1, 1.59, 735.88 },
5242 { 0.8, 4.93, 56.62 },
5243 { 0.8, 2.72, 508.35 },
5244 { 1.0, 1.01, 1045.15 },
5245 { 0.7, 1.11, 1169.59 },
5246 /* 64 terms retained, 0 terms dropped, error 1.2e-07 a.u.*T^4 */
5247
5248 /* saturn r, T^5 */
5249 { 128.6, 5.9128, 220.4126 },
5250 { 32.3, 0.693, 7.114 },
5251 { 26.7, 5.914, 227.526 },
5252 { 19.9, 0.674, 14.227 },
5253 { 20.2, 4.951, 433.712 },
5254 { 13.5, 1.457, 199.072 },
5255 { 14.1, 2.671, 206.186 },
5256 { 13.4, 4.588, 426.598 },
5257 { 7.3, 4.63, 213.30 },
5258 { 4.9, 3.61, 639.90 },
5259 { 3.1, 4.66, 191.96 },
5260 { 2.9, 0.49, 323.51 },
5261 { 3.8, 4.90, 440.83 },
5262 { 3.3, 4.07, 647.01 },
5263 { 2.9, 3.18, 419.48 },
5264 { 2.3, 3.70, 88.87 },
5265 { 1.9, 5.33, 302.16 },
5266 { 2.1, 3.32, 95.98 },
5267 { 1.6, 2.67, 853.20 },
5268 { 2.0, 0.56, 117.32 },
5269 { 1.6, 0.86, 515.46 },
5270 { 1.7, 0, 0 },
5271 { 1.1, 5.98, 3.18 },
5272 { 1.3, 5.83, 234.64 },
5273 { 0.9, 5.23, 216.48 },
5274 { 1.1, 0.16, 412.37 },
5275 { 0.8, 0.37, 28.45 },
5276 { 0.8, 5.05, 124.43 },
5277 /* 28 terms retained, 0 terms dropped, error 9e-08 a.u.*T^5 */
5278 /* end saturn */
5279};
5280
5281int vn_saturn[][3] = {
5282 /* addresses for saturn l, b, r */
5283 /* T^0 */ { 0, 592, 811, },
5284 /* T^1 */ { 165, 645, 1099, },
5285 /* T^2 */ { 303, 698, 1345, },
5286 /* T^3 */ { 418, 744, 1584, },
5287 /* T^4 */ { 500, 777, 1741, },
5288 /* T^5 */ { 566, 803, 1805, },
5289 /* end */ { 592, 811, 1833, },
5290 /* termination */ { 0, }
5291};
5292
5293/* version d4 (lbr)
5294 * heliocentric dynamical ecliptic and equinox of the date
5295 */
5296
5297double vx_uranus[][3] = {
5298 /* uranus l, T^0 */
5299 { 548129294.3, 0, 0 },
5300 { 9260408.3, 0.89106422, 74.78159857 },
5301 { 1504247.8, 3.62719262, 1.48447271 },
5302 { 365981.7, 1.8996219, 73.2971259 },
5303 { 272328.1, 3.3582371, 149.5631971 },
5304 { 70328.5, 5.392544, 63.735898 },
5305 { 68892.6, 6.092925, 76.266071 },
5306 { 61998.6, 2.269520, 2.968945 },
5307 { 61950.7, 2.850989, 11.045700 },
5308 { 26468.9, 3.141521, 71.812653 },
5309 { 25710.5, 6.113798, 454.909367 },
5310 { 21078.9, 4.360595, 148.078724 },
5311 { 17818.7, 1.744370, 36.648563 },
5312 { 14613.5, 4.737320, 3.932153 },
5313 { 11162.5, 5.826820, 224.344796 },
5314 { 10997.9, 0.488655, 138.517497 },
5315 { 9527.5, 2.95517, 35.16409 },
5316 { 7545.5, 5.23626, 109.94569 },
5317 { 4220.2, 3.23329, 70.84945 },
5318 { 4051.9, 2.27754, 151.04767 },
5319 { 3354.6, 1.06549, 4.45342 },
5320 { 2926.7, 4.62904, 9.56123 },
5321 { 3490.4, 5.48306, 146.59425 },
5322 { 3144.1, 4.75199, 77.75054 },
5323 { 2922.4, 5.35237, 85.82730 },
5324 { 2272.8, 4.36601, 70.32818 },
5325 { 2051.2, 1.51774, 0.11187 },
5326 { 2148.6, 0.60746, 38.13304 },
5327 { 1991.7, 4.92437, 277.03499 },
5328 { 1376.2, 2.04281, 65.22037 },
5329 { 1666.9, 3.62745, 380.12777 },
5330 { 1284.2, 3.11346, 202.25340 },
5331 { 1150.4, 0.93344, 3.18139 },
5332 { 1533.2, 2.58593, 52.69020 },
5333 { 1281.6, 0.54270, 222.86032 },
5334 { 1372.1, 4.19642, 111.43016 },
5335 { 1221.0, 0.19901, 108.46122 },
5336 { 946.2, 1.1925, 127.4718 },
5337 { 1151.0, 4.17898, 33.67962 },
5338 { 1244.3, 0.91613, 2.44768 },
5339 { 1072.0, 0.23565, 62.25143 },
5340 { 1090.5, 1.77502, 12.53017 },
5341 { 707.9, 5.1829, 213.2991 },
5342 { 653.4, 0.9659, 78.7138 },
5343 { 627.6, 0.1821, 984.6003 },
5344 { 524.5, 2.0128, 299.1264 },
5345 { 559.4, 3.3578, 0.5213 },
5346 { 606.8, 5.4321, 529.6910 },
5347 { 404.9, 5.9869, 8.0768 },
5348 { 467.2, 0.4148, 145.1098 },
5349 { 471.3, 1.4066, 184.7273 },
5350 { 483.2, 2.1055, 0.9632 },
5351 { 395.6, 5.8704, 351.8166 },
5352 { 433.5, 5.5214, 183.2428 },
5353 { 309.9, 5.8330, 145.6310 },
5354 { 378.6, 2.3498, 56.6224 },
5355 { 399.0, 0.3381, 415.5525 },
5356 { 300.4, 5.6435, 22.0914 },
5357 { 249.2, 4.7462, 225.8293 },
5358 { 239.3, 2.3505, 137.0330 },
5359 { 294.2, 5.8392, 39.6175 },
5360 { 216.5, 4.7785, 340.7709 },
5361 { 251.8, 1.6370, 221.3759 },
5362 { 219.6, 1.9221, 67.6681 },
5363 { 202.0, 1.2969, 0.0482 },
5364 { 224.1, 0.5157, 84.3428 },
5365 { 216.5, 6.1421, 5.9379 },
5366 { 222.6, 2.8431, 0.2606 },
5367 { 207.8, 5.5802, 68.8437 },
5368 { 187.5, 1.3192, 0.1601 },
5369 { 158.0, 0.7381, 54.1747 },
5370 { 199.1, 0.9563, 152.5321 },
5371 { 168.6, 5.8787, 18.1592 },
5372 { 170.3, 3.6772, 5.4166 },
5373 { 193.7, 1.8880, 456.3938 },
5374 { 193.0, 0.9162, 453.4249 },
5375 { 181.9, 3.5362, 79.2350 },
5376 { 173.1, 1.5386, 160.6089 },
5377 { 164.6, 1.4238, 106.9767 },
5378 { 172.0, 5.6795, 219.8914 },
5379 { 162.8, 3.0503, 112.9146 },
5380 { 146.7, 1.2630, 59.8037 },
5381 { 139.5, 5.3860, 32.1951 },
5382 { 138.6, 4.2599, 909.8187 },
5383 { 143.1, 1.3000, 35.4247 },
5384 { 123.8, 1.3736, 7.1135 },
5385 { 104.4, 5.0282, 0.7508 },
5386 { 103.3, 0.6810, 14.9779 },
5387 { 94.7, 0.907, 74.670 },
5388 { 83.0, 2.928, 265.989 },
5389 { 110.2, 2.0269, 554.0700 },
5390 { 94.2, 3.943, 74.893 },
5391 { 79.9, 1.014, 6.592 },
5392 { 109.4, 5.7058, 77.9630 },
5393 { 85.9, 1.706, 82.858 },
5394 { 103.6, 1.4577, 24.3790 },
5395 { 74.7, 4.632, 69.365 },
5396 { 79.9, 3.010, 297.642 },
5397 { 84.5, 0.369, 186.212 },
5398 { 88.8, 0.525, 181.758 },
5399 { 70.3, 1.190, 66.705 },
5400 { 70.0, 0.875, 305.346 },
5401 { 69.9, 3.761, 131.404 },
5402 { 84.6, 5.887, 256.540 },
5403 { 74.3, 6.243, 447.796 },
5404 { 62.3, 0.169, 479.288 },
5405 { 72.7, 2.849, 462.023 },
5406 { 69.1, 4.439, 39.357 },
5407 { 76.6, 4.587, 6.220 },
5408 { 73.4, 4.276, 87.312 },
5409 { 55.3, 1.496, 71.600 },
5410 { 57.3, 1.630, 143.625 },
5411 { 61.7, 3.186, 77.229 },
5412 { 57.6, 3.672, 51.206 },
5413 { 50.3, 1.123, 20.607 },
5414 { 53.7, 5.519, 128.956 },
5415 { 57.9, 2.669, 381.612 },
5416 { 58.1, 1.586, 60.767 },
5417 { 45.4, 0.481, 14.015 },
5418 { 37.6, 6.068, 211.815 },
5419 { 38.6, 3.436, 153.495 },
5420 { 46.1, 4.362, 75.745 },
5421 { 40.1, 4.573, 46.210 },
5422 { 34.2, 2.940, 140.002 },
5423 { 38.7, 5.589, 99.161 },
5424 { 34.8, 1.028, 203.738 },
5425 { 40.0, 0.699, 218.407 },
5426 { 32.5, 4.216, 200.769 },
5427 { 31.9, 5.510, 72.334 },
5428 { 41.7, 3.824, 81.001 },
5429 { 34.8, 0.394, 1.373 },
5430 { 39.8, 6.056, 293.189 },
5431 { 27.6, 2.183, 125.987 },
5432 { 36.3, 1.666, 258.024 },
5433 { 35.4, 1.967, 835.037 },
5434 { 35.4, 3.723, 692.587 },
5435 { 27.3, 2.102, 209.367 },
5436 { 26.5, 4.483, 373.908 },
5437 { 34.5, 1.079, 191.208 },
5438 { 29.9, 3.874, 259.509 },
5439 { 26.2, 3.632, 490.334 },
5440 { 25.8, 0.545, 41.644 },
5441 { 27.0, 6.277, 28.572 },
5442 { 26.4, 5.811, 75.303 },
5443 { 34.2, 6.056, 275.551 },
5444 { 29.9, 1.888, 269.921 },
5445 { 26.2, 6.201, 134.585 },
5446 { 25.2, 5.425, 116.426 },
5447 { 26.5, 4.772, 284.149 },
5448 { 27.0, 4.753, 41.102 },
5449 { 28.9, 0.171, 528.206 },
5450 { 25.8, 0.746, 278.519 },
5451 /* 152 terms retained, 795 terms dropped, error 1.3" */
5452
5453 /* uranus l, T^1 */
5454 { 7502543121.6, 0, 0 },
5455 { 154458.2, 5.2420166, 74.7815986 },
5456 { 24456.4, 1.712557, 1.484473 },
5457 { 9257.8, 0.42845, 11.04570 },
5458 { 8266.0, 1.50220, 63.73590 },
5459 { 7841.7, 1.31984, 149.56320 },
5460 { 3899.1, 0.46484, 3.93215 },
5461 { 2283.8, 4.17368, 76.26607 },
5462 { 1926.6, 0.53013, 2.96895 },
5463 { 1232.7, 1.58634, 70.84945 },
5464 { 791.2, 5.4364, 3.1814 },
5465 { 767.0, 1.9956, 73.2971 },
5466 { 481.7, 2.9840, 85.8273 },
5467 { 449.8, 4.1383, 138.5175 },
5468 { 445.6, 3.7230, 224.3448 },
5469 { 426.6, 4.7313, 71.8127 },
5470 { 347.7, 2.4537, 9.5612 },
5471 { 353.8, 2.5832, 148.0787 },
5472 { 317.1, 5.5786, 52.6902 },
5473 { 179.9, 5.6837, 12.5302 },
5474 { 171.1, 3.0006, 78.7138 },
5475 { 205.6, 2.3626, 2.4477 },
5476 { 158.0, 2.9093, 0.9632 },
5477 { 189.1, 4.2024, 56.6224 },
5478 { 154.7, 5.5908, 4.4534 },
5479 { 183.8, 0.2837, 151.0477 },
5480 { 143.5, 2.5905, 62.2514 },
5481 { 152.0, 2.9422, 77.7505 },
5482 { 153.5, 4.6519, 35.1641 },
5483 { 121.5, 4.1484, 127.4718 },
5484 { 115.5, 3.7322, 65.2204 },
5485 { 102.0, 4.1875, 145.6310 },
5486 { 101.7, 6.0339, 0.1119 },
5487 { 88.2, 3.990, 18.159 },
5488 { 87.5, 6.155, 202.253 },
5489 { 80.5, 2.641, 22.091 },
5490 { 72.0, 6.045, 70.328 },
5491 { 68.6, 4.051, 77.963 },
5492 { 59.2, 3.704, 67.668 },
5493 { 47.3, 3.543, 351.817 },
5494 { 42.5, 5.724, 5.417 },
5495 { 44.3, 5.909, 7.114 },
5496 { 35.6, 3.292, 8.077 },
5497 { 35.5, 3.328, 71.600 },
5498 { 36.1, 5.900, 33.680 },
5499 { 30.6, 5.464, 160.609 },
5500 { 31.5, 5.620, 984.600 },
5501 { 38.5, 4.915, 222.860 },
5502 { 35.0, 5.080, 38.133 },
5503 { 30.8, 5.496, 59.804 },
5504 { 28.9, 4.519, 84.343 },
5505 { 26.6, 5.541, 131.404 },
5506 { 29.9, 1.660, 447.796 },
5507 { 29.2, 1.147, 462.023 },
5508 { 25.8, 4.994, 137.033 },
5509 { 25.4, 5.736, 380.128 },
5510 { 21.7, 2.806, 69.365 },
5511 { 26.6, 6.146, 299.126 },
5512 { 23.0, 2.249, 111.430 },
5513 { 19.2, 3.556, 54.175 },
5514 { 21.8, 0.933, 213.299 },
5515 { 19.3, 1.862, 108.461 },
5516 { 16.2, 3.102, 14.978 },
5517 { 13.1, 1.954, 87.312 },
5518 { 13.9, 1.541, 340.771 },
5519 { 13.5, 4.385, 5.938 },
5520 { 13.1, 5.883, 6.220 },
5521 { 11.8, 0.326, 35.425 },
5522 { 11.0, 1.692, 45.577 },
5523 { 12.4, 0.328, 51.206 },
5524 { 10.9, 5.971, 265.989 },
5525 { 11.4, 3.378, 72.334 },
5526 { 12.0, 3.604, 269.921 },
5527 { 11.7, 1.745, 79.235 },
5528 { 13.8, 2.690, 225.829 },
5529 { 12.0, 5.344, 152.532 },
5530 { 9.9, 5.50, 153.50 },
5531 { 10.4, 4.169, 24.379 },
5532 { 10.6, 3.069, 284.149 },
5533 { 9.6, 0.50, 209.37 },
5534 { 9.3, 3.54, 41.64 },
5535 { 9.5, 5.60, 82.86 },
5536 { 9.7, 1.01, 68.84 },
5537 { 9.2, 4.49, 20.61 },
5538 { 10.2, 3.518, 529.691 },
5539 { 8.6, 3.89, 60.77 },
5540 { 10.0, 4.648, 77.229 },
5541 { 8.7, 1.97, 195.14 },
5542 { 8.4, 4.41, 134.59 },
5543 { 9.3, 3.93, 39.62 },
5544 { 7.8, 5.36, 75.74 },
5545 { 7.7, 5.77, 73.82 },
5546 { 7.7, 4.44, 14.01 },
5547 { 8.4, 2.44, 146.59 },
5548 { 8.0, 5.73, 184.73 },
5549 { 7.5, 2.19, 145.11 },
5550 { 6.4, 0.85, 32.20 },
5551 { 6.3, 2.17, 74.89 },
5552 { 7.9, 0.17, 120.36 },
5553 { 7.0, 4.12, 191.21 },
5554 { 6.9, 2.13, 116.43 },
5555 /* 101 terms retained, 325 terms dropped, error 0.29"*T */
5556
5557 /* uranus l, T^2 */
5558 { 53033.3, 0, 0 },
5559 { 2357.6, 2.26015, 74.78160 },
5560 { 769.1, 4.5256, 11.0457 },
5561 { 551.5, 3.2581, 63.7359 },
5562 { 541.5, 2.2757, 3.9322 },
5563 { 529.5, 4.9235, 1.4845 },
5564 { 257.5, 3.6906, 3.1814 },
5565 { 238.8, 5.8581, 149.5632 },
5566 { 181.9, 6.2176, 70.8494 },
5567 { 49.4, 6.031, 56.622 },
5568 { 53.5, 1.442, 76.266 },
5569 { 38.2, 1.785, 52.690 },
5570 { 44.8, 3.909, 2.448 },
5571 { 44.5, 0.812, 85.827 },
5572 { 37.4, 4.462, 2.969 },
5573 { 33.0, 0.864, 9.561 },
5574 { 24.3, 2.107, 18.159 },
5575 { 29.4, 5.098, 73.297 },
5576 { 22.1, 4.817, 78.714 },
5577 { 22.5, 5.993, 138.517 },
5578 { 17.2, 2.535, 145.631 },
5579 { 21.4, 2.399, 77.963 },
5580 { 20.6, 2.169, 224.345 },
5581 { 16.8, 3.466, 12.530 },
5582 { 12.0, 0.019, 22.091 },
5583 { 10.5, 4.456, 62.251 },
5584 { 11.0, 0.085, 127.472 },
5585 { 8.7, 4.26, 7.11 },
5586 { 10.5, 5.165, 71.600 },
5587 { 7.2, 1.25, 5.42 },
5588 { 8.4, 5.50, 67.67 },
5589 { 6.1, 5.45, 65.22 },
5590 { 6.0, 4.52, 151.05 },
5591 { 5.7, 1.83, 202.25 },
5592 { 6.1, 3.36, 447.80 },
5593 { 6.0, 5.73, 462.02 },
5594 { 5.1, 3.52, 59.80 },
5595 { 5.2, 1.06, 131.40 },
5596 { 6.0, 5.61, 148.08 },
5597 { 5.1, 3.36, 4.45 },
5598 { 4.8, 1.20, 71.81 },
5599 { 4.0, 0.68, 77.75 },
5600 { 3.7, 1.76, 351.82 },
5601 { 3.1, 3.84, 45.58 },
5602 { 3.0, 3.32, 160.61 },
5603 { 3.0, 6.15, 77.23 },
5604 { 3.6, 4.57, 454.91 },
5605 { 2.7, 5.36, 269.92 },
5606 { 2.5, 1.05, 69.36 },
5607 { 2.3, 2.69, 84.34 },
5608 { 2.2, 5.08, 14.98 },
5609 { 2.2, 1.39, 284.15 },
5610 { 2.1, 4.35, 984.60 },
5611 { 2.1, 2.32, 120.36 },
5612 { 1.9, 5.70, 54.17 },
5613 { 2.0, 3.87, 195.14 },
5614 { 1.6, 5.08, 209.37 },
5615 { 1.6, 0.49, 137.03 },
5616 { 1.6, 2.91, 51.21 },
5617 { 1.7, 6.26, 41.64 },
5618 { 2.1, 1.24, 35.16 },
5619 { 1.7, 6.28, 277.03 },
5620 /* 62 terms retained, 89 terms dropped, error 0.055"*T^2 */
5621
5622 /* uranus l, T^3 */
5623 { 120.9, 0.0242, 74.7816 },
5624 { 68.1, 4.121, 3.932 },
5625 { 52.8, 2.390, 11.046 },
5626 { 43.8, 2.960, 1.484 },
5627 { 45.3, 2.044, 3.181 },
5628 { 45.8, 0, 0 },
5629 { 25.0, 4.887, 63.736 },
5630 { 21.1, 4.545, 70.849 },
5631 { 19.9, 2.313, 149.563 },
5632 { 8.9, 1.58, 56.62 },
5633 { 4.3, 0.23, 18.16 },
5634 { 3.6, 5.39, 76.27 },
5635 { 3.5, 4.98, 85.83 },
5636 { 3.5, 4.13, 52.69 },
5637 { 3.6, 0.95, 77.96 },
5638 { 2.3, 0.86, 145.63 },
5639 { 2.7, 0.37, 78.71 },
5640 { 1.9, 2.68, 7.11 },
5641 { 2.2, 5.66, 9.56 },
5642 { 1.4, 4.87, 224.34 },
5643 { 1.3, 1.25, 12.53 },
5644 { 1.6, 0.49, 71.60 },
5645 { 1.5, 5.20, 73.30 },
5646 { 1.2, 3.93, 22.09 },
5647 { 0.9, 2.19, 127.47 },
5648 { 0.8, 3.98, 462.02 },
5649 { 0.8, 5.06, 447.80 },
5650 { 0.7, 0.35, 5.63 },
5651 { 0.7, 1.06, 138.52 },
5652 { 0.7, 2.94, 131.40 },
5653 { 0.5, 1.59, 151.05 },
5654 { 0.4, 4.33, 120.36 },
5655 /* 32 terms retained, 14 terms dropped, error 0.0098"*T^3 */
5656
5657 /* uranus l, T^4 */
5658 { 113.9, 3.1416, 0 },
5659 { 5.6, 4.58, 74.78 },
5660 { 3.2, 0.35, 11.05 },
5661 { 1.2, 3.42, 56.62 },
5662 { 0.6, 4.66, 18.16 },
5663 { 0.2, 3.80, 149.56 },
5664 { 0.1, 4.36, 63.74 },
5665 /* 7 terms retained, 0 terms dropped, error 0.0016"*T^4 */
5666
5667 /* uranus l, T^5 */
5668 { 0.9, 3.14, 0 },
5669 /* 1 terms retained, 0 terms dropped, error 0.0051"*T^5 */
5670 /* end uranus l */
5671
5672 /* uranus b, T^0 */
5673 { 1346277.6, 2.61877811, 74.78159857 },
5674 { 62341.4, 5.081112, 149.563197 },
5675 { 61601.2, 3.141593, 0 },
5676 { 9963.7, 1.61604, 76.26607 },
5677 { 9926.2, 0.57630, 73.29713 },
5678 { 3259.5, 1.26119, 224.34480 },
5679 { 2972.3, 2.24367, 1.48447 },
5680 { 2010.3, 6.05550, 148.07872 },
5681 { 1522.2, 0.27960, 63.73590 },
5682 { 924.1, 4.0382, 151.0477 },
5683 { 760.6, 6.1400, 71.8127 },
5684 { 420.3, 5.2128, 11.0457 },
5685 { 430.7, 3.5545, 213.2991 },
5686 { 436.8, 3.3808, 529.6910 },
5687 { 522.3, 3.3209, 138.5175 },
5688 { 434.6, 0.3407, 77.7505 },
5689 { 462.6, 0.7426, 85.8273 },
5690 { 232.6, 2.2572, 222.8603 },
5691 { 215.8, 1.5912, 38.1330 },
5692 { 244.7, 0.7880, 2.9689 },
5693 { 179.9, 3.7249, 299.1264 },
5694 { 174.9, 1.2355, 146.5943 },
5695 { 173.7, 1.9365, 380.1278 },
5696 { 160.4, 5.3364, 111.4302 },
5697 { 144.1, 5.9624, 35.1641 },
5698 { 102.0, 2.6188, 78.7138 },
5699 { 116.4, 5.7388, 70.8494 },
5700 { 106.4, 0.9410, 70.3282 },
5701 { 86.2, 0.703, 39.618 },
5702 { 72.6, 0.206, 225.829 },
5703 { 71.2, 0.833, 109.946 },
5704 { 57.5, 2.670, 108.461 },
5705 { 54.3, 3.352, 184.727 },
5706 { 44.5, 2.744, 152.532 },
5707 { 38.6, 5.174, 202.253 },
5708 { 39.2, 2.171, 351.817 },
5709 { 41.3, 3.221, 160.609 },
5710 { 35.1, 4.001, 112.915 },
5711 { 33.1, 3.614, 221.376 },
5712 { 31.3, 2.720, 145.110 },
5713 { 37.3, 4.021, 52.690 },
5714 { 32.0, 1.292, 145.631 },
5715 { 27.6, 3.701, 36.649 },
5716 /* 43 terms retained, 240 terms dropped, error 0.75" */
5717
5718 /* uranus b, T^1 */
5719 { 206366.2, 4.1239431, 74.7815986 },
5720 { 8563.2, 0.33820, 149.56320 },
5721 { 1725.7, 2.12193, 73.29713 },
5722 { 1368.9, 3.06862, 76.26607 },
5723 { 1374.4, 0, 0 },
5724 { 399.8, 2.8477, 224.3448 },
5725 { 450.6, 3.7766, 1.4845 },
5726 { 307.2, 1.2546, 148.0787 },
5727 { 154.3, 3.7858, 63.7359 },
5728 { 110.9, 5.3289, 138.5175 },
5729 { 112.4, 5.5730, 151.0477 },
5730 { 83.5, 3.592, 71.813 },
5731 { 55.6, 3.401, 85.827 },
5732 { 41.4, 4.455, 78.714 },
5733 { 53.7, 1.705, 77.751 },
5734 { 41.9, 1.215, 11.046 },
5735 { 32.0, 3.774, 222.860 },
5736 { 30.3, 2.564, 2.969 },
5737 { 27.0, 5.337, 213.299 },
5738 { 26.2, 0.416, 380.128 },
5739 { 20.1, 5.931, 529.691 },
5740 { 23.0, 2.489, 146.594 },
5741 { 19.6, 5.372, 299.126 },
5742 { 20.4, 3.702, 70.849 },
5743 { 19.1, 1.092, 111.430 },
5744 { 19.4, 3.830, 38.133 },
5745 { 10.8, 2.663, 3.932 },
5746 { 10.2, 2.313, 109.946 },
5747 { 9.4, 2.77, 39.62 },
5748 { 7.7, 1.81, 225.83 },
5749 { 8.1, 4.69, 184.73 },
5750 { 6.6, 5.50, 35.16 },
5751 { 7.4, 1.18, 65.22 },
5752 { 6.5, 4.98, 71.60 },
5753 /* 34 terms retained, 120 terms dropped, error 0.16"*T */
5754
5755 /* uranus b, T^2 */
5756 { 9211.7, 5.80044, 74.78160 },
5757 { 556.9, 0, 0 },
5758 { 286.3, 2.1773, 149.5632 },
5759 { 95.0, 3.842, 73.297 },
5760 { 45.4, 4.878, 76.266 },
5761 { 20.1, 5.463, 1.484 },
5762 { 14.8, 0.880, 138.517 },
5763 { 14.0, 5.072, 63.736 },
5764 { 14.3, 2.845, 148.079 },
5765 { 10.1, 5.003, 224.345 },
5766 { 8.3, 6.27, 78.71 },
5767 { 4.7, 5.16, 71.81 },
5768 { 3.8, 6.28, 85.83 },
5769 { 3.5, 3.53, 11.05 },
5770 { 2.6, 1.44, 151.05 },
5771 { 2.4, 4.23, 3.93 },
5772 { 2.6, 0.41, 71.60 },
5773 /* 17 terms retained, 43 terms dropped, error 0.045"*T^2 */
5774
5775 /* uranus b, T^3 */
5776 { 267.8, 1.2510, 74.7816 },
5777 { 11.0, 3.142, 0 },
5778 { 6.2, 4.01, 149.56 },
5779 { 3.4, 5.78, 73.30 },
5780 { 1.6, 1.06, 63.74 },
5781 { 1.3, 1.67, 78.71 },
5782 { 1.2, 2.59, 138.52 },
5783 { 1.1, 0.29, 76.27 },
5784 { 0.6, 1.87, 71.60 },
5785 { 0.6, 0.80, 1.48 },
5786 { 0.5, 4.43, 148.08 },
5787 /* 11 terms retained, 5 terms dropped, error 0.0067"*T^3 */
5788
5789 /* uranus b, T^4 */
5790 { 5.7, 2.85, 74.78 },
5791 { 0.3, 3.14, 0 },
5792 /* 2 terms retained, 0 terms dropped, error 0.0021"*T^4 */
5793 /* end uranus b */
5794
5795 /* uranus r, T^0 */
5796 { 1921264847.9, 0, 0 },
5797 { 88784984.1, 5.603775270, 74.781598567 },
5798 { 3440835.5, 0.32836099, 73.29712586 },
5799 { 2055653.5, 1.78295170, 149.56319713 },
5800 { 649321.9, 4.5224730, 76.2660713 },
5801 { 602248.1, 3.8600382, 63.7358983 },
5802 { 496404.2, 1.4013993, 454.9093665 },
5803 { 338525.5, 1.5800268, 138.5174969 },
5804 { 243508.2, 1.5708660, 71.8126532 },
5805 { 190521.9, 1.9980936, 1.4844727 },
5806 { 161858.3, 2.7913786, 148.0787244 },
5807 { 143705.9, 1.3836857, 11.0457003 },
5808 { 93192.4, 0.174372, 36.648563 },
5809 { 71424.3, 4.245093, 224.344796 },
5810 { 89805.8, 3.661054, 109.945689 },
5811 { 39009.6, 1.669711, 70.849445 },
5812 { 46677.3, 1.399766, 35.164090 },
5813 { 39025.7, 3.362347, 277.034994 },
5814 { 36755.2, 3.886489, 146.594252 },
5815 { 30348.9, 0.701004, 151.047670 },
5816 { 29156.3, 3.180562, 77.750544 },
5817 { 20471.6, 1.555890, 202.253395 },
5818 { 25620.4, 5.256563, 380.127768 },
5819 { 25785.8, 3.785377, 85.827299 },
5820 { 22637.2, 0.725191, 529.690965 },
5821 { 20473.2, 2.796398, 70.328180 },
5822 { 17900.6, 0.554555, 2.968945 },
5823 { 12328.2, 5.960392, 127.471797 },
5824 { 14701.6, 4.904344, 108.461216 },
5825 { 11494.7, 0.437740, 65.220371 },
5826 { 15502.8, 5.354050, 38.133036 },
5827 { 10792.7, 1.421049, 213.299095 },
5828 { 11696.1, 3.298256, 3.932153 },
5829 { 11959.4, 1.750441, 984.600332 },
5830 { 12896.5, 2.621540, 111.430161 },
5831 { 11853.0, 0.993428, 52.690198 },
5832 { 9111.4, 4.99639, 62.25143 },
5833 { 8420.6, 5.25351, 222.86032 },
5834 { 7449.1, 0.79492, 351.81659 },
5835 { 8402.1, 5.03878, 415.55249 },
5836 { 6046.4, 5.67961, 78.71375 },
5837 { 5524.1, 3.11499, 9.56123 },
5838 { 7329.5, 3.97278, 183.24281 },
5839 { 5444.9, 5.10576, 145.10978 },
5840 { 5238.1, 2.62960, 33.67962 },
5841 { 4079.2, 3.22065, 340.77089 },
5842 { 3801.6, 6.10986, 184.72729 },
5843 { 3919.5, 4.25015, 39.61751 },
5844 { 2940.5, 2.14637, 137.03302 },
5845 { 3781.2, 3.45840, 456.39384 },
5846 { 2942.2, 0.42394, 299.12639 },
5847 { 3686.8, 2.48718, 453.42489 },
5848 { 3101.7, 4.14031, 219.89138 },
5849 { 2962.6, 0.82978, 56.62235 },
5850 { 2937.8, 3.67657, 140.00197 },
5851 { 2865.1, 0.30997, 12.53017 },
5852 { 2538.0, 4.85458, 131.40395 },
5853 { 1962.5, 5.24342, 84.34283 },
5854 { 2363.6, 0.44253, 554.06999 },
5855 { 1979.4, 6.12836, 106.97674 },
5856 { 2182.6, 2.94040, 305.34617 },
5857 { 1963.0, 0.04115, 221.37585 },
5858 { 1829.6, 4.01106, 68.84371 },
5859 { 1642.9, 0.35564, 67.66805 },
5860 { 1584.8, 3.16267, 225.82927 },
5861 { 1848.7, 2.91112, 909.81873 },
5862 { 1632.4, 4.23062, 22.09140 },
5863 { 1401.4, 1.39084, 265.98929 },
5864 { 1403.7, 5.63564, 4.45342 },
5865 { 1655.9, 1.96431, 79.23502 },
5866 { 1249.0, 5.44027, 54.17467 },
5867 { 1563.4, 1.47918, 112.91463 },
5868 { 1248.1, 4.88984, 479.28839 },
5869 { 1197.4, 2.52186, 145.63104 },
5870 { 1507.0, 5.24186, 181.75834 },
5871 { 1481.7, 5.66203, 152.53214 },
5872 { 1438.8, 1.53046, 447.79582 },
5873 { 1408.5, 4.41922, 462.02291 },
5874 { 1477.1, 4.32215, 256.53994 },
5875 { 1228.3, 5.97703, 59.80375 },
5876 { 1250.0, 6.24485, 160.60890 },
5877 { 906.5, 5.6203, 74.6697 },
5878 { 1090.7, 4.15394, 77.96299 },
5879 { 844.9, 0.1294, 82.8584 },
5880 { 900.4, 2.3732, 74.8935 },
5881 { 1072.0, 1.74287, 528.20649 },
5882 { 689.7, 3.0810, 69.3650 },
5883 { 593.8, 4.5007, 8.0768 },
5884 { 718.6, 4.0005, 128.9563 },
5885 { 699.6, 0.0399, 143.6253 },
5886 { 575.7, 5.8955, 66.7048 },
5887 { 759.0, 2.1370, 692.5875 },
5888 { 710.4, 5.4161, 218.4069 },
5889 { 548.7, 5.6281, 3.1814 },
5890 { 651.6, 4.4234, 18.1592 },
5891 { 539.8, 6.2079, 71.6002 },
5892 { 544.5, 5.6938, 203.7379 },
5893 { 710.3, 4.2197, 381.6122 },
5894 { 593.8, 3.8381, 32.1951 },
5895 { 710.1, 4.4897, 293.1885 },
5896 { 705.5, 0.4552, 835.0371 },
5897 { 588.0, 5.0825, 186.2118 },
5898 { 598.2, 0.3582, 269.9214 },
5899 { 641.9, 2.7113, 87.3118 },
5900 { 495.6, 2.6509, 200.7689 },
5901 { 630.3, 4.4615, 275.5505 },
5902 { 575.2, 5.5786, 2.4477 },
5903 { 569.9, 1.6393, 77.2293 },
5904 { 556.7, 1.0723, 1059.3819 },
5905 { 449.4, 0.2798, 617.8059 },
5906 { 463.6, 1.4345, 297.6419 },
5907 { 436.5, 0.5280, 209.3669 },
5908 { 463.9, 2.3544, 211.8146 },
5909 { 435.9, 2.1008, 1514.2913 },
5910 { 515.5, 3.2327, 284.1485 },
5911 { 454.9, 4.0836, 99.1606 },
5912 { 477.4, 2.8940, 39.3569 },
5913 { 542.3, 5.3948, 278.5195 },
5914 { 410.1, 3.0497, 404.5068 },
5915 { 367.8, 0.7116, 125.9873 },
5916 { 503.1, 5.8393, 191.2077 },
5917 { 487.5, 0.0640, 60.7670 },
5918 { 455.0, 2.5932, 490.3341 },
5919 { 436.3, 2.0818, 51.2057 },
5920 { 435.8, 2.7945, 75.7448 },
5921 { 323.5, 4.8290, 195.1398 },
5922 { 359.4, 0.0087, 35.4247 },
5923 { 429.3, 3.0803, 41.1020 },
5924 { 320.0, 5.4863, 14.9779 },
5925 { 414.3, 0.0901, 258.0244 },
5926 { 379.7, 0.0583, 378.6433 },
5927 { 420.1, 2.2539, 81.0014 },
5928 { 357.7, 4.7141, 173.9422 },
5929 { 358.9, 0.3521, 426.5982 },
5930 { 405.4, 6.1226, 24.3790 },
5931 { 365.2, 5.5948, 255.0555 },
5932 { 308.1, 3.9236, 116.4261 },
5933 { 325.7, 4.7200, 134.5853 },
5934 { 292.8, 3.9952, 72.3339 },
5935 { 386.5, 0.6862, 230.5646 },
5936 { 305.7, 3.7611, 344.7030 },
5937 { 287.0, 1.8499, 153.4954 },
5938 { 353.6, 4.6572, 329.8371 },
5939 { 302.1, 0.1319, 565.1157 },
5940 { 241.1, 1.6045, 81.3739 },
5941 { 249.8, 4.2421, 75.3029 },
5942 { 245.1, 5.9491, 20.6069 },
5943 { 248.3, 1.0628, 105.4923 },
5944 { 305.4, 2.5553, 6208.2943 },
5945 { 296.3, 4.2110, 1364.7281 },
5946 { 219.9, 2.9612, 120.3582 },
5947 { 233.6, 2.9707, 46.2098 },
5948 { 262.4, 3.8365, 831.1050 },
5949 { 233.5, 4.4812, 628.8516 },
5950 { 187.4, 3.0353, 135.5486 },
5951 { 216.8, 3.4291, 241.6103 },
5952 { 255.8, 1.1671, 177.8744 },
5953 { 220.5, 0.1963, 180.2739 },
5954 { 224.5, 0.4068, 114.3991 },
5955 { 205.4, 2.3038, 259.5089 },
5956 { 211.1, 4.9308, 103.0928 },
5957 { 175.8, 5.5082, 7.1135 },
5958 { 188.5, 2.2359, 5.4166 },
5959 { 171.7, 5.2173, 41.6445 },
5960 { 176.1, 1.9596, 756.3234 },
5961 { 170.4, 4.9498, 206.1855 },
5962 { 169.5, 4.0432, 55.6591 },
5963 { 219.0, 0.2479, 294.6730 },
5964 { 187.8, 2.0454, 408.4389 },
5965 { 182.3, 0.7073, 391.1735 },
5966 { 192.1, 5.7672, 291.7040 },
5967 { 153.7, 4.7066, 543.0243 },
5968 { 170.0, 4.5100, 288.0807 },
5969 { 164.1, 5.2253, 67.3592 },
5970 { 194.3, 6.1169, 414.0680 },
5971 { 168.0, 5.2581, 518.6453 },
5972 { 156.6, 0.6630, 220.4126 },
5973 { 182.3, 0.7838, 417.0370 },
5974 { 167.5, 4.9224, 422.6660 },
5975 { 170.8, 2.3093, 98.9000 },
5976 { 161.7, 3.2726, 443.8637 },
5977 { 132.8, 2.8888, 373.9080 },
5978 { 161.1, 3.8234, 451.9404 },
5979 { 179.3, 4.8241, 366.4856 },
5980 { 178.2, 3.9803, 10138.5039 },
5981 { 141.9, 1.2697, 159.1244 },
5982 { 153.8, 4.2785, 45.5767 },
5983 { 161.5, 4.9955, 73.8184 },
5984 { 146.3, 2.6566, 465.9551 },
5985 { 124.9, 4.3047, 339.2864 },
5986 { 154.6, 4.3205, 760.2555 },
5987 { 142.9, 2.0777, 457.8783 },
5988 { 152.4, 4.6474, 155.7830 },
5989 { 116.4, 4.4351, 5.9379 },
5990 { 113.4, 4.6535, 80.1982 },
5991 { 107.6, 3.7729, 142.4497 },
5992 { 133.7, 5.3089, 14.0146 },
5993 { 116.1, 2.5118, 296.1574 },
5994 { 129.1, 0.3628, 96.8730 },
5995 { 122.8, 2.3834, 141.4864 },
5996 { 101.4, 1.0574, 92.3077 },
5997 { 114.7, 6.2486, 767.3691 },
5998 { 113.3, 0.8305, 100.3845 },
5999 { 107.2, 2.3937, 347.8844 },
6000 { 95.4, 0.801, 342.255 },
6001 { 110.8, 0.3865, 216.9224 },
6002 { 127.0, 0.4236, 331.3215 },
6003 { 112.6, 0.0811, 558.0021 },
6004 { 103.2, 0.6979, 358.9301 },
6005 { 111.5, 0.7502, 80.7195 },
6006 { 90.9, 5.165, 144.147 },
6007 { 90.7, 0.220, 333.657 },
6008 { 98.6, 4.332, 74.521 },
6009 { 89.3, 2.189, 74.830 },
6010 { 117.2, 3.9497, 74.2603 },
6011 { 89.1, 5.878, 74.733 },
6012 { 97.3, 0.694, 977.487 },
6013 { 116.6, 1.8368, 1289.9465 },
6014 { 85.4, 5.803, 6.592 },
6015 { 86.8, 5.620, 300.611 },
6016 { 105.2, 5.9451, 328.3526 },
6017 { 112.1, 1.2117, 329.7252 },
6018 { 83.0, 2.208, 74.942 },
6019 { 94.3, 4.539, 28.572 },
6020 { 106.8, 1.8207, 306.8306 },
6021 { 103.6, 2.9937, 6.2198 },
6022 { 106.4, 0.8158, 1087.6931 },
6023 { 77.7, 2.734, 110.206 },
6024 { 98.4, 3.735, 75.042 },
6025 { 86.2, 2.833, 983.116 },
6026 { 89.0, 4.738, 604.473 },
6027 { 83.0, 1.883, 387.241 },
6028 { 90.2, 3.804, 986.085 },
6029 { 84.6, 1.258, 142.141 },
6030 { 74.7, 1.351, 350.332 },
6031 { 95.8, 5.548, 969.622 },
6032 { 90.3, 0.368, 0.963 },
6033 { 82.7, 5.856, 74.622 },
6034 { 75.8, 2.780, 88.115 },
6035 { 83.8, 1.844, 227.314 },
6036 { 70.7, 4.656, 44.725 },
6037 { 71.3, 3.650, 894.841 },
6038 { 94.1, 4.988, 403.134 },
6039 { 89.0, 4.439, 154.017 },
6040 { 79.4, 5.667, 267.474 },
6041 { 75.6, 5.410, 50.403 },
6042 { 68.6, 4.767, 991.714 },
6043 { 65.3, 0.693, 152.745 },
6044 { 63.0, 2.899, 79.889 },
6045 { 63.9, 0.098, 681.542 },
6046 { 80.1, 2.975, 526.722 },
6047 { 69.7, 3.953, 187.696 },
6048 { 59.5, 3.596, 58.107 },
6049 { 59.3, 0.509, 28.311 },
6050 { 68.6, 2.419, 235.390 },
6051 { 66.0, 5.046, 30.711 },
6052 { 70.2, 3.736, 546.956 },
6053 { 66.8, 0.855, 522.577 },
6054 { 63.0, 0.293, 119.507 },
6055 { 62.0, 2.316, 74.031 },
6056 { 71.4, 3.170, 23.576 },
6057 { 74.8, 5.368, 373.014 },
6058 { 64.2, 2.368, 157.640 },
6059 { 70.7, 0.558, 92.941 },
6060 { 55.8, 5.270, 874.394 },
6061 { 75.6, 4.663, 101.869 },
6062 { 73.7, 6.206, 312.460 },
6063 { 72.9, 0.584, 367.970 },
6064 { 53.2, 2.247, 17.526 },
6065 { 63.1, 4.596, 67.880 },
6066 { 60.5, 0.576, 253.571 },
6067 { 52.9, 2.459, 264.505 },
6068 { 70.2, 1.519, 552.586 },
6069 { 68.6, 2.445, 555.554 },
6070 { 62.8, 0.338, 561.184 },
6071 { 49.0, 1.092, 19.122 },
6072 { 64.6, 5.275, 68.189 },
6073 { 63.0, 5.359, 92.047 },
6074 { 47.7, 3.909, 192.692 },
6075 { 65.3, 4.236, 771.301 },
6076 { 65.2, 3.739, 536.805 },
6077 { 59.5, 6.106, 365.001 },
6078 { 52.2, 1.717, 905.887 },
6079 { 46.0, 3.871, 210.330 },
6080 { 46.4, 5.974, 477.804 },
6081 { 62.1, 2.675, 130.441 },
6082 { 46.0, 3.894, 48.758 },
6083 { 42.7, 3.815, 61.288 },
6084 { 53.9, 2.865, 353.301 },
6085 { 46.9, 1.000, 166.829 },
6086 { 42.2, 2.617, 90.823 },
6087 { 43.3, 4.158, 173.682 },
6088 { 41.3, 1.799, 149.451 },
6089 { 45.0, 1.766, 0.521 },
6090 { 51.9, 2.978, 383.097 },
6091 { 42.9, 1.574, 120.991 },
6092 { 49.6, 4.034, 303.862 },
6093 { 45.3, 3.584, 97.416 },
6094 { 38.7, 2.394, 31.493 },
6095 { 38.1, 5.795, 75.532 },
6096 { 50.1, 4.764, 911.303 },
6097 { 50.9, 5.155, 439.783 },
6098 { 43.1, 0.850, 58.319 },
6099 { 42.7, 5.173, 162.093 },
6100 { 50.3, 5.816, 66.917 },
6101 { 35.6, 1.874, 472.175 },
6102 { 50.0, 1.889, 42.586 },
6103 { 40.0, 1.743, 89.759 },
6104 { 45.3, 1.925, 55.138 },
6105 { 44.9, 1.484, 450.977 },
6106 { 34.3, 5.203, 316.392 },
6107 { 46.4, 0.339, 273.103 },
6108 { 37.2, 2.038, 117.911 },
6109 { 46.1, 5.623, 1819.637 },
6110 { 39.4, 4.194, 486.402 },
6111 { 41.0, 4.830, 149.675 },
6112 { 45.0, 0.727, 3265.831 },
6113 { 43.6, 0.753, 404.619 },
6114 { 31.8, 3.848, 20.447 },
6115 { 44.2, 4.368, 418.261 },
6116 { 37.9, 3.029, 167.089 },
6117 { 43.7, 1.573, 491.558 },
6118 { 34.0, 1.263, 260.993 },
6119 { 31.3, 4.161, 13.333 },
6120 { 40.0, 2.866, 468.243 },
6121 { 36.5, 2.588, 68.562 },
6122 { 32.4, 3.116, 103.353 },
6123 { 33.9, 0.156, 24.118 },
6124 { 35.9, 1.368, 59.282 },
6125 { 33.6, 0.755, 290.220 },
6126 { 29.8, 5.332, 1033.358 },
6127 { 32.0, 4.675, 205.222 },
6128 { 31.0, 4.628, 258.876 },
6129 { 35.3, 1.007, 1108.140 },
6130 { 33.4, 3.407, 43.129 },
6131 { 32.6, 5.255, 114.138 },
6132 { 29.8, 5.642, 254.944 },
6133 { 31.6, 3.782, 152.011 },
6134 { 31.0, 2.267, 104.008 },
6135 { 34.6, 5.173, 25.603 },
6136 { 28.4, 1.769, 820.059 },
6137 { 28.0, 3.925, 199.284 },
6138 { 29.0, 2.582, 76.479 },
6139 { 33.8, 5.794, 274.066 },
6140 { 29.4, 5.936, 280.967 },
6141 { 31.1, 1.394, 178.789 },
6142 { 30.1, 0.444, 27.087 },
6143 { 33.8, 6.262, 401.650 },
6144 { 27.5, 2.152, 480.773 },
6145 { 26.9, 2.513, 123.540 },
6146 { 26.1, 0.220, 286.596 },
6147 { 26.5, 3.882, 372.424 },
6148 { 34.0, 1.446, 88.796 },
6149 { 30.1, 0.827, 100.645 },
6150 { 27.7, 4.648, 198.321 },
6151 { 33.7, 1.143, 82.486 },
6152 { 26.5, 1.979, 95.389 },
6153 { 26.6, 0.399, 106.014 },
6154 { 27.0, 2.102, 1057.897 },
6155 { 31.0, 5.340, 476.431 },
6156 { 27.0, 0.713, 248.724 },
6157 { 29.1, 3.992, 908.334 },
6158 { 28.0, 3.465, 1439.510 },
6159 { 27.8, 4.124, 694.072 },
6160 { 25.5, 5.496, 115.884 },
6161 { 27.2, 5.761, 1215.165 },
6162 { 26.3, 2.775, 490.073 },
6163 { 26.4, 3.371, 49.721 },
6164 { 26.9, 3.260, 691.103 },
6165 { 25.0, 3.650, 73.409 },
6166 /* 370 terms retained, 754 terms dropped, error 9.6e-06 a.u. */
6167
6168 /* uranus r, T^1 */
6169 { 1479896.4, 3.67205705, 74.78159857 },
6170 { 71212.1, 6.226010, 63.735898 },
6171 { 68627.0, 6.134113, 149.563197 },
6172 { 20857.3, 5.246255, 11.045700 },
6173 { 21468.2, 2.601767, 76.266071 },
6174 { 24059.6, 3.141593, 0 },
6175 { 11405.3, 0.018485, 70.849445 },
6176 { 7496.8, 0.42360, 73.29713 },
6177 { 4243.8, 1.41692, 85.82730 },
6178 { 3505.9, 2.58354, 138.51750 },
6179 { 3228.8, 5.25500, 3.93215 },
6180 { 3926.7, 3.15514, 71.81265 },
6181 { 3060.0, 0.15322, 1.48447 },
6182 { 3578.4, 2.31161, 224.34480 },
6183 { 2564.3, 0.98077, 148.07872 },
6184 { 2429.4, 3.99440, 52.69020 },
6185 { 1644.7, 2.65349, 127.47180 },
6186 { 1583.8, 1.43046, 78.71375 },
6187 { 1413.1, 4.57462, 202.25340 },
6188 { 1489.5, 2.67559, 56.62235 },
6189 { 1403.2, 1.36985, 77.75054 },
6190 { 1228.2, 1.04704, 62.25143 },
6191 { 1508.0, 5.05996, 151.04767 },
6192 { 992.1, 2.1717, 65.2204 },
6193 { 1032.7, 0.26459, 131.40395 },
6194 { 861.9, 5.0553, 351.8166 },
6195 { 744.4, 3.0764, 35.1641 },
6196 { 604.4, 0.9072, 984.6003 },
6197 { 646.9, 4.4729, 70.3282 },
6198 { 574.7, 3.2307, 447.7958 },
6199 { 687.5, 2.4991, 77.9630 },
6200 { 623.6, 0.8625, 9.5612 },
6201 { 527.8, 5.1514, 2.9689 },
6202 { 561.8, 2.7178, 462.0229 },
6203 { 530.4, 5.9166, 213.2991 },
6204 { 460.1, 4.2230, 12.5302 },
6205 { 494.3, 0.4629, 145.6310 },
6206 { 487.3, 0.7061, 380.1278 },
6207 { 380.9, 3.8509, 3.1814 },
6208 { 444.4, 2.1556, 67.6681 },
6209 { 338.8, 2.5382, 18.1592 },
6210 { 372.9, 5.0514, 529.6910 },
6211 { 348.3, 1.7487, 71.6002 },
6212 { 405.9, 1.2296, 22.0914 },
6213 { 268.9, 6.2407, 340.7709 },
6214 { 255.6, 2.9570, 84.3428 },
6215 { 259.5, 3.9205, 59.8037 },
6216 { 224.7, 3.9096, 160.6089 },
6217 { 221.7, 3.6473, 137.0330 },
6218 { 254.6, 3.5041, 38.1330 },
6219 { 238.3, 2.0488, 269.9214 },
6220 { 272.4, 3.3836, 222.8603 },
6221 { 200.6, 1.2486, 69.3650 },
6222 { 234.2, 0.2783, 108.4612 },
6223 { 188.5, 4.4131, 265.9893 },
6224 { 211.7, 0.6803, 111.4302 },
6225 { 205.9, 1.5338, 284.1485 },
6226 { 196.2, 4.7715, 299.1264 },
6227 { 153.1, 5.2176, 209.3669 },
6228 { 162.6, 4.3405, 33.6796 },
6229 { 150.6, 1.9897, 54.1747 },
6230 { 137.0, 0.4032, 195.1398 },
6231 { 117.2, 0.3965, 87.3118 },
6232 { 127.9, 2.4033, 39.6175 },
6233 { 104.2, 2.9215, 134.5853 },
6234 { 103.9, 1.8162, 72.3339 },
6235 { 105.7, 0.1707, 79.2350 },
6236 { 106.4, 0.6980, 2.4477 },
6237 { 95.3, 4.029, 82.858 },
6238 { 104.8, 4.4362, 305.3462 },
6239 { 93.8, 5.018, 51.206 },
6240 { 103.7, 2.5755, 191.2077 },
6241 { 106.7, 1.2300, 225.8293 },
6242 { 93.5, 3.093, 77.229 },
6243 { 97.4, 3.814, 152.532 },
6244 { 84.6, 5.725, 68.844 },
6245 { 77.4, 0.083, 45.577 },
6246 { 76.2, 4.204, 73.818 },
6247 { 86.2, 0.531, 145.110 },
6248 { 75.8, 3.786, 75.745 },
6249 { 77.6, 1.636, 479.288 },
6250 { 84.6, 0.617, 116.426 },
6251 { 100.2, 4.9408, 120.3582 },
6252 { 72.1, 4.305, 565.116 },
6253 { 70.7, 2.385, 60.767 },
6254 { 71.6, 3.939, 153.495 },
6255 { 84.6, 5.560, 344.703 },
6256 { 63.6, 1.937, 41.644 },
6257 { 71.6, 3.712, 408.439 },
6258 { 61.6, 3.900, 4.453 },
6259 { 65.0, 1.558, 106.977 },
6260 { 59.9, 0.601, 74.893 },
6261 { 62.0, 4.394, 453.425 },
6262 { 63.4, 4.192, 184.727 },
6263 { 62.3, 3.238, 422.666 },
6264 { 54.4, 3.725, 7.114 },
6265 { 52.5, 6.086, 404.507 },
6266 { 59.1, 1.556, 456.394 },
6267 { 52.6, 3.505, 125.987 },
6268 { 52.8, 5.201, 358.930 },
6269 { 58.1, 5.335, 220.413 },
6270 { 52.9, 4.448, 426.598 },
6271 { 50.9, 0.526, 490.334 },
6272 { 55.0, 1.601, 14.978 },
6273 { 49.5, 4.255, 5.417 },
6274 { 51.3, 0.368, 206.186 },
6275 { 51.8, 1.758, 8.077 },
6276 { 57.0, 0.841, 146.594 },
6277 { 49.1, 0.941, 99.161 },
6278 { 46.4, 5.351, 152.745 },
6279 { 48.0, 1.972, 288.081 },
6280 { 43.8, 3.037, 20.607 },
6281 { 49.5, 5.846, 112.915 },
6282 { 42.0, 0.046, 128.956 },
6283 { 48.6, 3.628, 81.001 },
6284 { 41.5, 2.337, 277.035 },
6285 { 40.0, 5.095, 35.425 },
6286 { 41.9, 2.511, 24.379 },
6287 { 38.3, 3.619, 173.942 },
6288 { 38.4, 2.060, 333.657 },
6289 { 42.6, 1.261, 1514.291 },
6290 { 38.9, 0.742, 347.884 },
6291 { 38.5, 4.951, 92.941 },
6292 { 33.2, 1.384, 74.670 },
6293 { 33.8, 3.684, 66.917 },
6294 { 39.0, 5.492, 200.769 },
6295 { 31.9, 0.540, 203.738 },
6296 { 33.3, 6.260, 1059.382 },
6297 { 30.8, 2.538, 977.487 },
6298 { 29.2, 5.431, 58.107 },
6299 { 30.1, 0.195, 387.241 },
6300 { 29.0, 3.105, 991.714 },
6301 { 35.6, 3.729, 96.873 },
6302 { 27.6, 0.371, 80.198 },
6303 { 32.5, 4.384, 221.376 },
6304 { 27.0, 1.356, 0.963 },
6305 { 31.3, 0.796, 373.014 },
6306 { 31.1, 2.054, 230.565 },
6307 { 25.9, 3.468, 144.147 },
6308 { 30.2, 0.714, 109.946 },
6309 { 24.7, 3.042, 14.015 },
6310 { 27.9, 4.766, 415.552 },
6311 { 25.1, 5.124, 81.374 },
6312 { 25.6, 2.569, 522.577 },
6313 { 24.4, 2.203, 628.852 },
6314 { 25.5, 1.795, 143.625 },
6315 { 24.2, 5.672, 443.864 },
6316 { 25.7, 5.432, 546.956 },
6317 { 24.2, 5.600, 32.195 },
6318 { 24.4, 3.303, 617.806 },
6319 { 23.5, 0.658, 46.210 },
6320 { 22.4, 4.821, 135.549 },
6321 { 27.2, 2.027, 536.805 },
6322 { 22.2, 4.617, 391.173 },
6323 { 22.0, 4.592, 241.610 },
6324 { 20.8, 0.244, 465.955 },
6325 { 27.3, 2.152, 140.002 },
6326 { 21.4, 5.272, 159.124 },
6327 { 23.6, 4.950, 561.184 },
6328 { 24.9, 0.546, 181.758 },
6329 { 23.0, 3.806, 55.138 },
6330 { 19.8, 1.303, 518.645 },
6331 { 19.3, 1.314, 543.024 },
6332 { 19.7, 4.909, 909.819 },
6333 { 20.8, 0.912, 76.479 },
6334 { 19.9, 0.665, 66.705 },
6335 { 19.0, 4.680, 98.900 },
6336 { 25.9, 4.529, 454.909 },
6337 { 21.9, 1.234, 41.102 },
6338 { 18.7, 6.096, 103.093 },
6339 { 18.2, 0.973, 55.659 },
6340 { 21.2, 4.194, 329.725 },
6341 { 19.4, 4.315, 6.220 },
6342 { 18.5, 5.786, 142.450 },
6343 { 22.6, 5.846, 297.642 },
6344 { 16.8, 6.091, 211.815 },
6345 { 16.4, 2.500, 61.288 },
6346 { 20.4, 3.161, 186.212 },
6347 { 16.0, 2.983, 81.895 },
6348 { 19.0, 6.012, 155.783 },
6349 { 17.7, 4.826, 273.103 },
6350 { 15.1, 3.656, 472.175 },
6351 { 18.4, 3.476, 36.649 },
6352 { 16.3, 0.131, 554.070 },
6353 { 18.6, 0.239, 23.576 },
6354 { 14.4, 2.694, 70.116 },
6355 { 15.2, 2.438, 486.402 },
6356 { 14.0, 5.124, 29.205 },
6357 { 15.8, 4.249, 146.382 },
6358 { 14.1, 1.557, 110.206 },
6359 { 17.5, 1.945, 835.037 },
6360 { 13.7, 1.638, 92.047 },
6361 { 13.8, 0.137, 235.390 },
6362 { 13.6, 2.854, 49.509 },
6363 { 12.6, 3.209, 100.384 },
6364 { 12.4, 2.886, 60.555 },
6365 { 15.0, 0.326, 259.509 },
6366 { 12.9, 2.776, 105.492 },
6367 { 12.3, 3.364, 440.682 },
6368 { 15.2, 0.256, 258.876 },
6369 { 12.1, 0.109, 157.640 },
6370 { 12.9, 0.307, 124.290 },
6371 { 10.9, 3.429, 33.137 },
6372 { 11.2, 4.988, 604.473 },
6373 { 10.8, 3.863, 767.369 },
6374 { 11.6, 2.605, 166.829 },
6375 { 10.2, 5.278, 264.505 },
6376 { 10.9, 0.641, 558.002 },
6377 { 12.3, 4.340, 16.675 },
6378 { 9.9, 0.67, 31.49 },
6379 { 12.6, 4.832, 114.399 },
6380 { 10.5, 0.204, 275.551 },
6381 { 11.3, 0.961, 373.908 },
6382 { 12.1, 1.917, 378.643 },
6383 { 12.2, 0.705, 218.407 },
6384 { 10.8, 5.745, 88.115 },
6385 { 9.5, 0.66, 353.30 },
6386 { 11.0, 2.630, 154.017 },
6387 { 9.1, 2.99, 681.54 },
6388 { 10.4, 2.331, 132.888 },
6389 { 9.2, 4.79, 216.48 },
6390 { 9.3, 0.76, 129.92 },
6391 { 8.9, 0.78, 67.36 },
6392 { 8.8, 6.13, 150.53 },
6393 { 9.6, 2.89, 67.88 },
6394 { 10.5, 0.369, 699.701 },
6395 { 9.3, 1.50, 19.64 },
6396 { 9.4, 5.26, 80.72 },
6397 { 10.1, 3.565, 278.519 },
6398 { 9.5, 3.06, 149.68 },
6399 { 9.2, 3.03, 162.09 },
6400 { 8.4, 2.18, 342.26 },
6401 { 9.2, 5.33, 152.01 },
6402 { 9.8, 2.44, 75.30 },
6403 { 10.0, 0.819, 339.286 },
6404 { 9.4, 1.94, 147.12 },
6405 { 7.9, 4.72, 106.01 },
6406 { 8.8, 0.02, 42.59 },
6407 { 7.8, 0.61, 135.34 },
6408 { 8.2, 2.60, 469.14 },
6409 { 10.1, 2.586, 50.403 },
6410 { 8.6, 5.69, 760.26 },
6411 { 7.5, 2.65, 5.94 },
6412 { 8.7, 0.54, 66.18 },
6413 { 8.0, 1.94, 180.27 },
6414 { 7.5, 5.95, 97.42 },
6415 { 7.6, 5.80, 450.98 },
6416 { 8.7, 3.70, 300.61 },
6417 { 7.7, 1.47, 32.24 },
6418 { 8.2, 2.31, 254.94 },
6419 { 8.5, 1.28, 39.36 },
6420 { 7.0, 0.68, 874.39 },
6421 { 8.9, 0.16, 43.13 },
6422 { 7.2, 4.98, 117.91 },
6423 { 7.4, 4.09, 92.31 },
6424 { 7.3, 5.04, 756.32 },
6425 { 8.5, 1.22, 79.45 },
6426 { 6.9, 6.04, 350.33 },
6427 { 8.8, 1.33, 48.76 },
6428 { 7.3, 3.33, 68.19 },
6429 { 6.8, 4.78, 142.66 },
6430 { 6.8, 3.90, 480.77 },
6431 { 7.1, 1.28, 68.56 },
6432 { 7.9, 4.30, 624.92 },
6433 { 6.7, 5.43, 610.69 },
6434 { 6.5, 5.44, 88.80 },
6435 { 7.6, 4.81, 312.46 },
6436 { 7.2, 3.18, 268.44 },
6437 { 8.1, 1.99, 692.59 },
6438 { 6.5, 1.05, 685.47 },
6439 { 6.6, 1.38, 291.26 },
6440 { 6.9, 2.59, 282.66 },
6441 { 7.1, 5.80, 468.24 },
6442 { 6.3, 2.58, 458.09 },
6443 { 7.6, 0.49, 296.16 },
6444 { 8.5, 0.01, 227.31 },
6445 { 6.5, 3.99, 42.54 },
6446 { 6.4, 1.04, 365.90 },
6447 { 8.2, 1.13, 69.15 },
6448 { 6.4, 0.16, 228.28 },
6449 { 8.0, 4.04, 183.24 },
6450 { 6.3, 3.52, 285.63 },
6451 { 6.9, 3.32, 306.83 },
6452 { 6.9, 1.34, 7.86 },
6453 { 6.5, 0.46, 106.27 },
6454 { 6.6, 5.25, 58.32 },
6455 { 6.4, 0.35, 411.62 },
6456 { 6.4, 5.19, 120.99 },
6457 { 7.0, 4.86, 419.48 },
6458 { 6.4, 2.78, 198.32 },
6459 /* 290 terms retained, 224 terms dropped, error 2.2e-06 a.u.*T */
6460
6461 /* uranus r, T^2 */
6462 { 22439.9, 0.699531, 74.781599 },
6463 { 4727.0, 1.69902, 63.73590 },
6464 { 1681.9, 4.64834, 70.84945 },
6465 { 1433.8, 3.52120, 149.56320 },
6466 { 1649.6, 3.09660, 11.04570 },
6467 { 770.2, 0, 0 },
6468 { 461.0, 0.7668, 3.9322 },
6469 { 500.4, 6.1723, 76.2661 },
6470 { 390.4, 4.4961, 56.6224 },
6471 { 389.9, 5.5267, 85.8273 },
6472 { 292.1, 0.2039, 52.6902 },
6473 { 272.9, 3.8471, 138.5175 },
6474 { 286.6, 3.5336, 73.2971 },
6475 { 205.4, 3.2476, 78.7138 },
6476 { 219.7, 1.9642, 131.4039 },
6477 { 215.8, 0.8481, 77.9630 },
6478 { 128.8, 2.0815, 3.1814 },
6479 { 148.6, 4.8984, 127.4718 },
6480 { 117.5, 4.9341, 447.7958 },
6481 { 112.7, 1.0136, 462.0229 },
6482 { 98.9, 6.158, 224.345 },
6483 { 91.4, 0.680, 18.159 },
6484 { 89.2, 0.234, 202.253 },
6485 { 88.2, 2.931, 62.251 },
6486 { 114.1, 4.7874, 145.6310 },
6487 { 103.9, 3.5856, 71.6002 },
6488 { 61.8, 3.300, 351.817 },
6489 { 57.8, 4.907, 22.091 },
6490 { 64.4, 3.390, 1.484 },
6491 { 71.1, 6.105, 454.909 },
6492 { 51.0, 3.867, 65.220 },
6493 { 63.5, 3.962, 67.668 },
6494 { 59.0, 5.555, 9.561 },
6495 { 48.7, 3.747, 269.921 },
6496 { 43.6, 1.926, 59.804 },
6497 { 42.2, 2.617, 151.048 },
6498 { 42.4, 6.136, 284.149 },
6499 { 44.3, 5.900, 71.813 },
6500 { 37.3, 5.913, 984.600 },
6501 { 36.2, 5.403, 77.751 },
6502 { 42.0, 2.091, 12.530 },
6503 { 31.4, 4.592, 148.079 },
6504 { 31.3, 2.267, 195.140 },
6505 { 27.2, 3.532, 209.367 },
6506 { 28.2, 4.578, 77.229 },
6507 { 26.1, 0.660, 120.358 },
6508 { 24.4, 5.867, 69.365 },
6509 { 23.0, 1.038, 84.343 },
6510 { 22.7, 1.714, 160.609 },
6511 { 27.7, 4.915, 277.035 },
6512 { 20.8, 2.196, 45.577 },
6513 { 20.0, 2.321, 2.448 },
6514 { 16.6, 4.775, 213.299 },
6515 { 16.6, 1.856, 340.771 },
6516 { 17.2, 4.369, 54.175 },
6517 { 16.1, 3.646, 152.745 },
6518 { 14.8, 5.438, 408.439 },
6519 { 13.9, 3.385, 358.930 },
6520 { 13.3, 5.252, 137.033 },
6521 { 13.3, 1.263, 134.585 },
6522 { 12.9, 3.033, 92.941 },
6523 { 12.5, 1.332, 51.206 },
6524 { 13.4, 1.532, 422.666 },
6525 { 16.4, 0.402, 265.989 },
6526 { 12.0, 5.104, 191.208 },
6527 { 12.9, 4.432, 87.312 },
6528 { 11.4, 2.026, 7.114 },
6529 { 11.8, 4.656, 41.644 },
6530 { 12.0, 3.239, 116.426 },
6531 { 11.7, 3.733, 220.413 },
6532 { 11.6, 4.165, 60.555 },
6533 { 10.2, 0.329, 70.328 },
6534 { 11.3, 1.076, 72.334 },
6535 { 9.7, 3.06, 2.97 },
6536 { 9.3, 2.44, 565.12 },
6537 { 9.0, 5.19, 225.83 },
6538 { 10.3, 1.186, 344.703 },
6539 { 8.8, 6.01, 5.42 },
6540 { 8.5, 5.25, 347.88 },
6541 { 8.3, 3.72, 14.98 },
6542 { 8.3, 2.27, 299.13 },
6543 { 8.1, 5.72, 55.14 },
6544 { 7.8, 0.90, 222.86 },
6545 { 8.3, 4.49, 70.12 },
6546 { 8.8, 5.82, 153.50 },
6547 { 8.5, 3.91, 333.66 },
6548 { 9.9, 5.97, 35.16 },
6549 { 9.6, 0.39, 415.55 },
6550 { 7.1, 1.51, 991.71 },
6551 { 6.6, 1.18, 96.87 },
6552 { 8.1, 2.26, 206.19 },
6553 { 6.5, 2.99, 380.13 },
6554 { 9.0, 6.05, 146.38 },
6555 { 6.1, 0.06, 99.16 },
6556 { 5.8, 0.82, 142.45 },
6557 { 5.8, 4.63, 49.51 },
6558 { 5.6, 0.66, 58.11 },
6559 { 6.0, 2.49, 373.01 },
6560 { 5.7, 2.24, 80.20 },
6561 { 5.3, 5.07, 440.68 },
6562 { 5.2, 4.36, 977.49 },
6563 { 5.4, 0.85, 546.96 },
6564 { 5.8, 0.34, 536.80 },
6565 { 5.9, 5.48, 76.48 },
6566 { 5.3, 3.73, 23.58 },
6567 { 5.2, 4.14, 132.89 },
6568 { 5.3, 6.14, 39.62 },
6569 { 5.8, 3.40, 458.09 },
6570 { 5.0, 4.26, 522.58 },
6571 { 5.0, 4.79, 387.24 },
6572 { 5.2, 3.26, 561.18 },
6573 { 4.6, 1.69, 152.53 },
6574 { 5.3, 1.84, 124.29 },
6575 { 5.0, 0.37, 60.77 },
6576 { 4.5, 2.30, 312.46 },
6577 { 4.5, 0.46, 33.14 },
6578 { 5.7, 0.90, 81.90 },
6579 { 5.8, 0.92, 20.61 },
6580 { 5.7, 0.66, 38.13 },
6581 { 4.3, 3.55, 479.29 },
6582 { 4.2, 4.38, 79.24 },
6583 { 4.2, 1.65, 128.96 },
6584 { 5.1, 1.41, 144.15 },
6585 { 4.0, 6.07, 19.64 },
6586 { 4.0, 5.77, 288.08 },
6587 { 5.0, 3.00, 29.20 },
6588 { 3.8, 2.60, 426.60 },
6589 { 3.9, 3.20, 159.12 },
6590 { 3.9, 4.44, 141.70 },
6591 { 5.3, 4.08, 111.43 },
6592 { 4.6, 0.01, 298.23 },
6593 { 3.7, 5.28, 353.30 },
6594 { 3.9, 5.27, 521.09 },
6595 { 3.7, 5.15, 490.33 },
6596 { 4.0, 0.61, 152.01 },
6597 { 3.9, 1.34, 535.32 },
6598 { 4.4, 0.62, 827.17 },
6599 { 3.6, 4.72, 6.90 },
6600 { 3.6, 3.25, 230.56 },
6601 { 3.5, 0.79, 983.12 },
6602 { 4.5, 2.87, 129.92 },
6603 { 3.6, 5.59, 774.48 },
6604 { 3.5, 4.50, 376.20 },
6605 { 3.4, 2.56, 258.88 },
6606 { 4.4, 2.10, 404.51 },
6607 { 3.3, 0.90, 469.14 },
6608 { 3.3, 3.86, 42.54 },
6609 { 3.2, 2.76, 248.72 },
6610 { 3.2, 0.08, 1514.29 },
6611 { 3.8, 5.30, 369.08 },
6612 { 3.3, 2.25, 73.82 },
6613 { 3.1, 2.60, 433.71 },
6614 { 3.1, 4.55, 980.67 },
6615 { 3.1, 1.27, 200.77 },
6616 { 3.1, 1.71, 639.90 },
6617 { 3.1, 3.63, 16.67 },
6618 { 3.5, 4.94, 411.62 },
6619 { 3.5, 4.49, 881.51 },
6620 { 3.3, 5.59, 472.17 },
6621 { 3.0, 6.03, 291.26 },
6622 { 3.5, 2.17, 554.07 },
6623 { 3.1, 0.52, 1094.81 },
6624 { 3.3, 2.49, 451.73 },
6625 { 2.9, 0.50, 305.35 },
6626 { 3.1, 4.20, 146.59 },
6627 { 2.9, 2.45, 135.34 },
6628 { 3.0, 0.39, 25.27 },
6629 { 2.8, 2.53, 867.28 },
6630 { 2.7, 5.29, 125.99 },
6631 { 2.9, 4.71, 218.93 },
6632 { 2.8, 4.28, 350.33 },
6633 { 2.7, 1.99, 82.86 },
6634 { 2.9, 3.09, 216.48 },
6635 { 3.4, 3.68, 661.09 },
6636 { 2.9, 1.44, 381.61 },
6637 { 2.8, 0.39, 33.68 },
6638 { 2.8, 4.63, 1357.61 },
6639 { 3.4, 2.13, 685.47 },
6640 { 2.6, 5.93, 89.76 },
6641 { 2.7, 0.76, 486.40 },
6642 { 2.7, 4.16, 235.39 },
6643 { 2.6, 3.82, 550.89 },
6644 { 3.4, 3.17, 108.46 },
6645 { 2.6, 5.68, 24.38 },
6646 { 2.7, 1.87, 529.69 },
6647 { 2.6, 4.37, 1080.58 },
6648 { 2.4, 3.07, 391.17 },
6649 { 2.4, 5.74, 535.91 },
6650 { 2.3, 5.19, 1059.38 },
6651 { 2.6, 1.10, 913.00 },
6652 { 2.2, 6.10, 140.00 },
6653 { 3.1, 5.35, 681.54 },
6654 /* 192 terms retained, 0 terms dropped, error 8.5e-07 a.u.*T^2 */
6655
6656 /* uranus r, T^3 */
6657 { 1164.4, 4.73453, 74.78160 },
6658 { 212.4, 3.3426, 63.7359 },
6659 { 196.4, 2.9800, 70.8494 },
6660 { 104.5, 0.9581, 11.0457 },
6661 { 71.7, 0.025, 56.622 },
6662 { 72.5, 0.997, 149.563 },
6663 { 54.9, 2.594, 3.932 },
6664 { 34.0, 3.816, 76.266 },
6665 { 32.1, 3.598, 131.404 },
6666 { 29.6, 3.441, 85.827 },
6667 { 36.4, 5.650, 77.963 },
6668 { 27.7, 0.428, 3.181 },
6669 { 27.5, 2.551, 52.690 },
6670 { 24.6, 5.140, 78.714 },
6671 { 19.4, 5.135, 18.159 },
6672 { 15.8, 0.371, 447.796 },
6673 { 15.4, 5.573, 462.023 },
6674 { 15.2, 3.860, 73.297 },
6675 { 15.5, 2.975, 145.631 },
6676 { 18.0, 0, 0 },
6677 { 16.0, 5.199, 71.600 },
6678 { 11.1, 6.032, 138.517 },
6679 { 10.5, 3.583, 224.345 },
6680 { 7.6, 1.45, 1.48 },
6681 { 8.1, 2.62, 22.09 },
6682 { 7.1, 5.44, 269.92 },
6683 { 6.5, 4.37, 284.15 },
6684 { 6.8, 0.01, 151.05 },
6685 { 8.1, 0.30, 127.47 },
6686 { 5.8, 4.23, 373.01 },
6687 { 5.0, 1.84, 202.25 },
6688 { 4.7, 2.78, 120.36 },
6689 { 5.1, 0.78, 62.25 },
6690 { 4.2, 1.84, 72.33 },
6691 { 3.9, 1.89, 209.37 },
6692 { 5.2, 4.16, 195.14 },
6693 { 3.6, 2.00, 65.22 },
6694 { 3.6, 3.93, 124.29 },
6695 { 3.8, 1.05, 92.94 },
6696 { 4.2, 3.96, 9.56 },
6697 { 3.5, 1.54, 148.08 },
6698 { 3.2, 2.99, 387.24 },
6699 { 4.0, 1.86, 152.74 },
6700 { 3.3, 1.41, 351.82 },
6701 { 3.6, 1.17, 153.50 },
6702 { 2.9, 6.04, 12.53 },
6703 { 2.7, 5.65, 134.59 },
6704 { 2.8, 0.79, 572.23 },
6705 { 3.1, 5.84, 160.61 },
6706 { 2.7, 1.99, 450.98 },
6707 { 2.7, 2.77, 213.30 },
6708 { 2.3, 1.68, 358.93 },
6709 { 2.3, 5.77, 84.34 },
6710 { 2.3, 4.81, 536.80 },
6711 { 2.2, 2.20, 465.96 },
6712 /* 55 terms retained, 0 terms dropped, error 3.3e-07 a.u.*T^3 */
6713
6714 /* uranus r, T^4 */
6715 { 53.0, 3.008, 74.782 },
6716 { 9.9, 1.91, 56.62 },
6717 { 7.0, 5.09, 11.05 },
6718 { 6.7, 5.43, 149.56 },
6719 { 3.7, 5.23, 131.40 },
6720 { 3.4, 1.30, 85.83 },
6721 { 2.7, 0.44, 63.74 },
6722 { 2.3, 0.92, 145.63 },
6723 { 2.4, 6.21, 358.93 },
6724 { 2.3, 2.23, 440.68 },
6725 { 3.1, 3.14, 0 },
6726 /* 11 terms retained, 0 terms dropped, error 2.1e-07 a.u.*T^4 */
6727 /* end uranus */
6728};
6729
6730int vn_uranus[][3] = {
6731 /* addresses for uranus l, b, r */
6732 /* T^0 */ { 0, 355, 462, },
6733 /* T^1 */ { 152, 398, 832, },
6734 /* T^2 */ { 253, 432, 1122, },
6735 /* T^3 */ { 315, 449, 1314, },
6736 /* T^4 */ { 347, 460, 1369, },
6737 /* T^5 */ { 354, 462, 1380, },
6738 /* end */ { 355, 0, 0, },
6739 /* termination */ { 0, }
6740};
6741
6742/* version d4 (lbr)
6743 * heliocentric dynamical ecliptic and equinox of the date
6744 */
6745
6746double vx_venus[][3] = {
6747 /* venus l, T^0 */
6748 { 317614666.8, 0, 0 },
6749 { 1353968.4, 5.59313320, 10213.28554621 },
6750 { 89891.6, 5.306500, 20426.571092 },
6751 { 5477.2, 4.41631, 7860.41939 },
6752 { 3455.7, 2.69964, 11790.62909 },
6753 { 2372.1, 2.99378, 3930.20970 },
6754 { 1317.1, 5.18668, 26.29832 },
6755 { 1664.1, 4.25019, 1577.34354 },
6756 { 1438.3, 4.15745, 9683.59458 },
6757 { 1200.5, 6.15357, 30639.85664 },
6758 { 761.4, 1.9501, 529.6910 },
6759 { 707.7, 1.0647, 775.5226 },
6760 { 584.8, 3.9984, 191.4483 },
6761 { 769.3, 0.8163, 9437.7629 },
6762 { 499.9, 4.1234, 15720.8388 },
6763 { 326.2, 4.5906, 10404.7338 },
6764 { 429.5, 3.5864, 19367.1892 },
6765 { 327.0, 5.6774, 5507.5532 },
6766 { 231.9, 3.1625, 9153.9036 },
6767 { 179.7, 4.6534, 1109.3786 },
6768 { 128.3, 4.2260, 20.7754 },
6769 { 155.5, 5.5704, 19651.0485 },
6770 { 127.9, 0.9621, 5661.3320 },
6771 { 105.5, 1.5372, 801.8209 },
6772 { 85.7, 0.356, 3154.687 },
6773 { 99.1, 0.833, 213.299 },
6774 { 98.8, 5.394, 13367.973 },
6775 { 82.1, 3.216, 18837.498 },
6776 { 88.0, 3.889, 9999.986 },
6777 { 71.6, 0.111, 11015.106 },
6778 { 56.1, 4.240, 7.114 },
6779 { 70.2, 0.675, 23581.258 },
6780 { 50.8, 0.245, 11322.664 },
6781 { 46.1, 5.316, 18073.705 },
6782 { 44.6, 6.063, 40853.142 },
6783 { 42.6, 5.329, 2352.866 },
6784 { 42.6, 1.800, 7084.897 },
6785 { 41.2, 0.362, 382.897 },
6786 { 35.7, 2.704, 10206.172 },
6787 { 33.9, 2.023, 6283.076 },
6788 { 29.1, 3.592, 22003.915 },
6789 { 28.5, 2.224, 1059.382 },
6790 { 29.8, 4.022, 10239.584 },
6791 { 33.3, 2.100, 27511.468 },
6792 { 30.2, 4.942, 13745.346 },
6793 { 29.3, 3.514, 283.859 },
6794 { 26.3, 0.541, 17298.182 },
6795 /* 47 terms retained, 320 terms dropped, error 0.75" */
6796
6797 /* venus l, T^1 */
6798 { 1021352943052.9, 0, 0 },
6799 { 95707.7, 2.464244, 10213.285546 },
6800 { 14445.0, 0.516246, 20426.571092 },
6801 { 213.4, 1.7955, 30639.8566 },
6802 { 151.7, 6.1064, 1577.3435 },
6803 { 173.9, 2.6554, 26.2983 },
6804 { 82.2, 5.702, 191.448 },
6805 { 69.7, 2.681, 9437.763 },
6806 { 52.4, 3.600, 775.523 },
6807 { 38.3, 1.034, 529.691 },
6808 { 29.6, 1.251, 5507.553 },
6809 { 25.1, 6.107, 10404.734 },
6810 { 17.8, 6.194, 1109.379 },
6811 { 16.5, 2.643, 7.114 },
6812 { 14.2, 5.451, 9153.904 },
6813 { 12.6, 1.245, 40853.142 },
6814 { 11.6, 4.976, 213.299 },
6815 { 12.6, 1.881, 382.897 },
6816 { 8.9, 0.95, 13367.97 },
6817 { 7.4, 4.39, 10206.17 },
6818 { 6.6, 2.28, 2352.87 },
6819 { 6.3, 4.08, 3154.69 },
6820 { 6.7, 5.06, 801.82 },
6821 /* 23 terms retained, 192 terms dropped, error 0.14"*T */
6822
6823 /* venus l, T^2 */
6824 { 54127.1, 0, 0 },
6825 { 3891.5, 0.34514, 10213.28555 },
6826 { 1337.9, 2.02011, 20426.57109 },
6827 { 23.8, 2.046, 26.298 },
6828 { 19.3, 3.535, 30639.857 },
6829 { 10.0, 3.971, 775.523 },
6830 { 7.0, 1.52, 1577.34 },
6831 { 6.0, 1.00, 191.45 },
6832 { 3.2, 4.36, 9437.76 },
6833 { 2.1, 2.66, 40853.14 },
6834 { 1.9, 3.39, 382.90 },
6835 /* 11 terms retained, 59 terms dropped, error 0.028"*T^2 */
6836
6837 /* venus l, T^3 */
6838 { 135.7, 4.8039, 10213.2855 },
6839 { 77.8, 3.669, 20426.571 },
6840 { 26.0, 0, 0 },
6841 { 1.2, 5.32, 30639.86 },
6842 /* 4 terms retained, 5 terms dropped, error 0.011"*T^3 */
6843
6844 /* venus l, T^4 */
6845 { 114.0, 3.1416, 0 },
6846 { 3.2, 5.21, 20426.57 },
6847 { 1.7, 2.51, 10213.29 },
6848 /* 3 terms retained, 2 terms dropped, error 0.014"*T^4 */
6849
6850 /* venus l, T^5 */
6851 { 0.9, 3.14, 0 },
6852 { 0.1, 0.55, 20426.57 },
6853 { 0.1, 1.91, 10213.29 },
6854 /* 3 terms retained, 2 terms dropped, error 0.00097"*T^5 */
6855 /* end venus l */
6856
6857 /* venus b, T^0 */
6858 { 5923638.5, 0.26702776, 10213.28554621 },
6859 { 40108.0, 1.147372, 20426.571092 },
6860 { 32814.9, 3.141593, 0 },
6861 { 1011.4, 1.08946, 30639.85664 },
6862 { 149.5, 6.2539, 18073.7049 },
6863 { 137.8, 0.8602, 1577.3435 },
6864 { 130.0, 3.6715, 9437.7629 },
6865 { 119.5, 3.7047, 2352.8662 },
6866 { 108.0, 4.5390, 22003.9146 },
6867 { 92.0, 1.540, 9153.904 },
6868 { 53.0, 2.281, 5507.553 },
6869 { 45.6, 0.723, 10239.584 },
6870 { 38.9, 2.934, 10186.987 },
6871 { 43.5, 6.140, 11790.629 },
6872 { 41.7, 5.991, 19896.880 },
6873 { 39.6, 3.868, 8635.942 },
6874 { 39.2, 3.950, 529.691 },
6875 { 33.3, 4.832, 14143.495 },
6876 /* 18 terms retained, 192 terms dropped, error 0.6" */
6877
6878 /* venus b, T^1 */
6879 { 513347.6, 1.8036431, 10213.2855462 },
6880 { 4380.1, 3.38616, 20426.57109 },
6881 { 196.6, 2.5300, 30639.8566 },
6882 { 199.2, 0, 0 },
6883 { 14.0, 2.271, 9437.763 },
6884 { 13.0, 1.507, 18073.705 },
6885 { 11.9, 5.605, 1577.344 },
6886 { 10.3, 5.242, 2352.866 },
6887 { 9.3, 6.08, 22003.91 },
6888 { 7.4, 1.50, 11790.63 },
6889 { 8.0, 0.29, 9153.90 },
6890 { 7.5, 5.08, 10186.99 },
6891 /* 12 terms retained, 121 terms dropped, error 0.11"*T */
6892
6893 /* venus b, T^2 */
6894 { 22377.7, 3.385091, 10213.285546 },
6895 { 281.7, 0, 0 },
6896 { 173.2, 5.2556, 20426.5711 },
6897 { 26.9, 3.870, 30639.857 },
6898 /* 4 terms retained, 55 terms dropped, error 0.25"*T^2 */
6899
6900 /* venus b, T^3 */
6901 { 646.7, 4.9917, 10213.2855 },
6902 { 20.0, 3.142, 0 },
6903 { 5.5, 0.77, 20426.57 },
6904 { 2.5, 5.44, 30639.86 },
6905 /* 4 terms retained, 11 terms dropped, error 0.023"*T^3 */
6906
6907 /* venus b, T^4 */
6908 { 14.1, 0.315, 10213.286 },
6909 { 0.2, 2.35, 20426.57 },
6910 { 0.2, 0.74, 30639.86 },
6911 { 0.2, 3.14, 0 },
6912 /* 4 terms retained, 1 terms dropped, error 0.002"*T^4 */
6913
6914 /* venus b, T^5 */
6915 { 0.2, 2.05, 10213.29 },
6916 /* 1 terms retained, 3 terms dropped, error 0.0014"*T^5 */
6917 /* end venus b */
6918
6919 /* venus r, T^0 */
6920 { 72334820.9, 0, 0 },
6921 { 489824.2, 4.0215183, 10213.2855462 },
6922 { 1658.1, 4.90207, 20426.57109 },
6923 { 1632.1, 2.84549, 7860.41939 },
6924 { 1378.0, 1.12847, 11790.62909 },
6925 { 498.4, 2.5868, 9683.5946 },
6926 { 374.0, 1.4231, 3930.2097 },
6927 { 263.6, 5.5294, 9437.7629 },
6928 { 237.5, 2.5514, 15720.8388 },
6929 { 222.0, 2.0135, 19367.1892 },
6930 { 119.5, 3.0198, 10404.7338 },
6931 { 125.9, 2.7277, 1577.3435 },
6932 { 76.2, 1.596, 9153.904 },
6933 { 85.3, 3.986, 19651.048 },
6934 { 74.3, 4.120, 5507.553 },
6935 { 41.9, 1.643, 18837.498 },
6936 { 42.5, 3.819, 13367.973 },
6937 { 39.4, 5.390, 23581.258 },
6938 { 29.0, 5.677, 5661.332 },
6939 { 27.6, 5.724, 775.523 },
6940 { 27.3, 4.822, 11015.106 },
6941 { 31.3, 2.318, 9999.986 },
6942 /* 22 terms retained, 308 terms dropped, error 3e-06 a.u. */
6943
6944 /* venus r, T^1 */
6945 { 34551.0, 0.891987, 10213.285546 },
6946 { 234.2, 1.7722, 20426.5711 },
6947 { 234.0, 3.1416, 0 },
6948 { 23.9, 1.113, 9437.763 },
6949 { 10.6, 4.592, 1577.344 },
6950 { 9.1, 4.54, 10404.73 },
6951 { 6.6, 5.98, 5507.55 },
6952 /* 7 terms retained, 173 terms dropped, error 3.7e-07 a.u.*T */
6953
6954 /* venus r, T^2 */
6955 { 1406.6, 5.06366, 10213.28555 },
6956 { 15.5, 5.473, 20426.571 },
6957 { 13.1, 0, 0 },
6958 /* 3 terms retained, 60 terms dropped, error 5.2e-07 a.u.*T^2 */
6959
6960 /* venus r, T^3 */
6961 { 49.6, 3.223, 10213.286 },
6962 { 0.8, 3.21, 20426.57 },
6963 /* 2 terms retained, 5 terms dropped, error 2.9e-08 a.u.*T^3 */
6964
6965 /* venus r, T^4 */
6966 { 0.6, 0.92, 10213.29 },
6967 /* 1 terms retained, 2 terms dropped, error 1.6e-08 a.u.*T^4 */
6968
6969 /* venus r, T^5 */
6970 /* 0 terms retained, 2 terms dropped, error 9e-10 a.u.*T^5 */
6971 /* end venus */
6972};
6973
6974int vn_venus[][3] = {
6975 /* addresses for venus l, b, r */
6976 /* T^0 */ { 0, 91, 134, },
6977 /* T^1 */ { 47, 109, 156, },
6978 /* T^2 */ { 70, 121, 163, },
6979 /* T^3 */ { 81, 125, 166, },
6980 /* T^4 */ { 85, 129, 168, },
6981 /* T^5 */ { 88, 133, 169, },
6982 /* end */ { 91, 134, 0, },
6983 /* termination */ { 0, }
6984};
6985
6986
6987/* For RCS Only -- Do Not Edit */
6988static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: vsop87_data.c,v $ $Date: 2001-04-10 14:40:47 $ $Revision: 1.1.1.1 $ $Name: not supported by cvs2svn $"};
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