1 | /* find rise and set circumstances, ie, riset_cir() and related functions. */
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2 |
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3 | #include <stdio.h>
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4 | #include <math.h>
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5 | #include <stdlib.h>
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6 | #include <string.h>
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7 |
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8 | #include "astro.h"
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9 |
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10 | #define TMACC (10./3600./24.0) /* convergence accuracy, days */
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11 |
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12 | static void e_riset_cir (Now *np, Obj *op, double dis, RiseSet *rp);
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13 | static int find_0alt (double dt, double dis, Now *np, Obj *op);
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14 | static int find_transit (double dt, Now *np, Obj *op);
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15 | static int find_max (Now *np, Obj *op, double tr, double ts, double *tp,
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16 | double *alp);
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17 |
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18 | /* find where and when an object, op, will rise and set and
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19 | * it's transit circumstances. all times are utc mjd, angles rads e of n.
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20 | * dis is the angle down from an ideal horizon, in rads (see riset()).
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21 | * N.B. dis should NOT include refraction, we do that here.
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22 | */
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23 | void
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24 | riset_cir (Now *np, Obj *op, double dis, RiseSet *rp)
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25 | {
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26 | double mjdn; /* mjd of local noon */
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27 | double lstn; /* lst at local noon */
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28 | double lr, ls; /* lst rise/set times */
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29 | double ar, as; /* az of rise/set */
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30 | double ran; /* RA at noon */
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31 | Now n; /* copy to move time around */
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32 | Obj o; /* copy to get circumstances at n */
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33 | int rss; /* temp status */
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34 |
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35 | /* work with local copies so we can move the time around */
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36 | (void) memcpy ((void *)&n, (void *)np, sizeof(n));
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37 | (void) memcpy ((void *)&o, (void *)op, sizeof(o));
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38 |
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39 | /* fast Earth satellites need a different approach.
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40 | * "fast" here is pretty arbitrary -- just too fast to work with the
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41 | * iterative approach based on refining the times for a "fixed" object.
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42 | */
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43 | if (op->o_type == EARTHSAT && op->es_n > FAST_SAT_RPD) {
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44 | e_riset_cir (&n, &o, dis, rp);
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45 | return;
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46 | }
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47 |
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48 | /* assume no problems initially */
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49 | rp->rs_flags = 0;
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50 |
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51 | /* start the iteration at local noon */
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52 | mjdn = mjd_day(mjd - tz/24.0) + tz/24.0 + 0.5;
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53 | n.n_mjd = mjdn;
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54 | now_lst (&n, &lstn);
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55 |
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56 | /* first approximation is to find rise/set times of a fixed object
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57 | * at the current epoch in its position at local noon.
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58 | * N.B. add typical refraction if dis is above horizon for initial
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59 | * go/no-go test. if it passes, real code does refraction rigorously.
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60 | */
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61 | n.n_mjd = mjdn;
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62 | if (obj_cir (&n, &o) < 0) {
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63 | rp->rs_flags = RS_ERROR;
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64 | return;
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65 | }
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66 | ran = o.s_gaera;
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67 | riset (o.s_gaera, o.s_gaedec, lat, dis+(dis>.01 ? 0 : .01), &lr, &ls,
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68 | &ar, &as, &rss);
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69 | switch (rss) {
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70 | case 0: break;
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71 | case 1: rp->rs_flags = RS_NEVERUP; return;
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72 | case -1: rp->rs_flags = RS_CIRCUMPOLAR; goto dotransit;
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73 | default: rp->rs_flags = RS_ERROR; return;
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74 | }
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75 |
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76 | /* iterate to find better rise time */
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77 | n.n_mjd = mjdn;
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78 | switch (find_0alt ((lr - lstn)/SIDRATE, dis, &n, &o)) {
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79 | case 0: /* ok */
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80 | rp->rs_risetm = n.n_mjd;
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81 | rp->rs_riseaz = o.s_az;
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82 | break;
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83 | case -1: /* obj_cir error */
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84 | rp->rs_flags |= RS_RISERR;
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85 | break;
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86 | case -2: /* converged but not today, err but give times anyway */
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87 | rp->rs_risetm = n.n_mjd;
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88 | rp->rs_riseaz = o.s_az;
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89 | rp->rs_flags |= RS_NORISE;
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90 | break;
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91 | case -3: /* probably never up */
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92 | rp->rs_flags |= RS_NEVERUP;
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93 | break;
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94 | }
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95 |
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96 | /* iterate to find better set time */
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97 | n.n_mjd = mjdn;
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98 | switch (find_0alt ((ls - lstn)/SIDRATE, dis, &n, &o)) {
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99 | case 0: /* ok */
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100 | rp->rs_settm = n.n_mjd;
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101 | rp->rs_setaz = o.s_az;
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102 | break;
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103 | case -1: /* obj_cir error */
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104 | rp->rs_flags |= RS_SETERR;
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105 | break;
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106 | case -2: /* converged but not today, err but give times anyway */
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107 | rp->rs_settm = n.n_mjd;
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108 | rp->rs_setaz = o.s_az;
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109 | rp->rs_flags |= RS_NOSET;
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110 | break;
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111 | case -3: /* probably circumpolar */
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112 | rp->rs_flags |= RS_CIRCUMPOLAR;
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113 | break;
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114 | }
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115 |
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116 | /* can try transit even if rise or set failed */
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117 | dotransit:
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118 | n.n_mjd = mjdn;
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119 | switch (find_transit ((radhr(ran) - lstn)/SIDRATE, &n, &o)) {
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120 | case 0: /* ok */
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121 | rp->rs_trantm = n.n_mjd;
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122 | rp->rs_tranalt = o.s_alt;
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123 | break;
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124 | case -1: /* did not converge */
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125 | rp->rs_flags |= RS_TRANSERR;
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126 | break;
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127 | case -2: /* converged but not today */
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128 | rp->rs_flags |= RS_NOTRANS;
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129 | break;
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130 | }
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131 | }
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132 |
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133 | /* find local times when sun is dis rads below horizon.
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134 | */
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135 | void
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136 | twilight_cir (Now *np, double dis, double *dawn, double *dusk, int *status)
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137 | {
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138 | RiseSet rs;
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139 | Obj o;
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140 |
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141 | memset (&o, 0, sizeof(o));
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142 | o.o_type = PLANET;
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143 | o.pl_code = SUN;
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144 | (void) strcpy (o.o_name, "Sun");
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145 | riset_cir (np, &o, dis, &rs);
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146 | *dawn = rs.rs_risetm;
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147 | *dusk = rs.rs_settm;
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148 | *status = rs.rs_flags;
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149 | }
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150 |
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151 | /* find where and when a fast-moving Earth satellite, op, will rise and set and
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152 | * it's transit circumstances. all times are mjd, angles rads e of n.
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153 | * dis is the angle down from the local topo horizon, in rads (see riset()).
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154 | * idea is to walk forward in time looking for alt+dis==0 crossings.
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155 | * initial time step is a few degrees (based on average daily motion).
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156 | * we stop as soon as we see both a rise and set.
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157 | * N.B. we assume *np and *op are working copies we can mess up.
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158 | */
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159 | static void
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160 | e_riset_cir (Now *np, Obj *op, double dis, RiseSet *rp)
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161 | {
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162 | #define DEGSTEP 5 /* time step is about this many degrees */
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163 | int steps; /* max number of time steps */
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164 | double dt; /* time change per step, days */
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165 | double t0, t1; /* current and next mjd values */
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166 | double a0, a1; /* altitude at t0 and t1 */
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167 | int rise, set; /* flags to check when we find these events */
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168 | int i;
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169 |
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170 | dt = DEGSTEP * (1.0/360.0/op->es_n);
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171 | steps = (int)(1.0/dt);
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172 | rise = set = 0;
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173 | rp->rs_flags = 0;
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174 |
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175 | if (obj_cir (np, op) < 0) {
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176 | rp->rs_flags |= RS_ERROR;
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177 | return;
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178 | }
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179 |
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180 | t0 = mjd;
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181 | a0 = op->s_alt + dis;
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182 |
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183 | for (i = 0; i < steps && (!rise || !set); i++) {
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184 | mjd = t1 = t0 + dt;
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185 | if (obj_cir (np, op) < 0) {
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186 | rp->rs_flags |= RS_ERROR;
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187 | return;
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188 | }
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189 | a1 = op->s_alt + dis;
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190 |
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191 | if (a0 < 0 && a1 > 0 && !rise) {
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192 | /* found a rise event -- interate to refine */
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193 | switch (find_0alt (0.0, dis, np, op)) {
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194 | case 0: /* ok */
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195 | rp->rs_risetm = np->n_mjd;
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196 | rp->rs_riseaz = op->s_az;
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197 | rise = 1;
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198 | break;
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199 | case -1: /* obj_cir error */
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200 | rp->rs_flags |= RS_RISERR;
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201 | return;
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202 | case -2: /* converged but not today */ /* FALLTHRU */
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203 | case -3: /* probably never up */
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204 | rp->rs_flags |= RS_NORISE;
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205 | return;
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206 | }
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207 | } else if (a0 > 0 && a1 < 0 && !set) {
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208 | /* found a setting event -- interate to refine */
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209 | switch (find_0alt (0.0, dis, np, op)) {
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210 | case 0: /* ok */
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211 | rp->rs_settm = np->n_mjd;
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212 | rp->rs_setaz = op->s_az;
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213 | set = 1;
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214 | break;
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215 | case -1: /* obj_cir error */
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216 | rp->rs_flags |= RS_SETERR;
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217 | return;
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218 | case -2: /* converged but not today */ /* FALLTHRU */
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219 | case -3: /* probably circumpolar */
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220 | rp->rs_flags |= RS_NOSET;
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221 | return;
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222 | }
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223 | }
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224 |
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225 | t0 = t1;
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226 | a0 = a1;
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227 | }
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228 |
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229 | /* instead of transit, for satellites we find time of maximum
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230 | * altitude, if we know both the rise and set times.
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231 | */
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232 | if (rise && set) {
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233 | double tt, al;
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234 | if (find_max (np, op, rp->rs_risetm, rp->rs_settm, &tt, &al) < 0) {
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235 | rp->rs_flags |= RS_TRANSERR;
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236 | return;
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237 | }
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238 | rp->rs_trantm = tt;
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239 | rp->rs_tranalt = al;
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240 | } else
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241 | rp->rs_flags |= RS_NOTRANS;
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242 |
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243 | /* check for some bad conditions */
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244 | if (!rise) {
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245 | if (a0 > 0)
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246 | rp->rs_flags |= RS_CIRCUMPOLAR;
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247 | else
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248 | rp->rs_flags |= RS_NORISE;
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249 | }
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250 | if (!set) {
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251 | if (a0 < 0)
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252 | rp->rs_flags |= RS_NEVERUP;
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253 | else
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254 | rp->rs_flags |= RS_NOSET;
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255 | }
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256 | }
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257 |
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258 | /* given a Now at noon and a dt from noon, in hours, for a first approximation
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259 | * to a rise or set event, refine the event by searching for when alt+dis = 0.
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260 | * return 0: if find one within 12 hours of noon with np and op set to the
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261 | * better time and circumstances;
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262 | * return -1: if error from obj_cir;
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263 | * return -2: if converges but not today;
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264 | * return -3: if does not converge at all (probably circumpolar or never up);
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265 | */
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266 | static int
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267 | find_0alt (
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268 | double dt, /* hours from noon to first guess at event */
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269 | double dis, /* horizon displacement, rads */
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270 | Now *np, /* working Now -- starts with mjd is noon, returns as answer */
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271 | Obj *op) /* working object -- returns as answer */
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272 | {
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273 | #define MAXPASSES 20 /* max iterations to try */
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274 | #define FIRSTSTEP (1.0/60.0/24.0) /* first time step, days */
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275 | #define MAXSTEP (12.0/24.0)/* max time step,days (to detect flat)*/
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276 |
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277 | double a0 = 0;
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278 | double mjdn = mjd;
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279 | int npasses;
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280 |
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281 | /* insure initial guess is today -- if not, move by 24 hours */
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282 | if (dt < -12.0 && !find_0alt (dt+24, dis, np, op))
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283 | return (0);
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284 | mjd = mjdn;
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285 | if (dt > 12.0 && !find_0alt (dt-24, dis, np, op))
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286 | return (0);
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287 | mjd = mjdn;
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288 |
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289 | /* convert dt to days for remainder of algorithm */
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290 | dt /= 24.0;
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291 |
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292 | /* use secant method to look for s_alt + dis == 0 */
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293 | npasses = 0;
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294 | do {
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295 | double a1;
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296 |
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297 | mjd += dt;
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298 | if (obj_cir (np, op) < 0)
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299 | return (-1);
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300 | a1 = op->s_alt;
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301 |
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302 | dt = (npasses == 0) ? FIRSTSTEP : (dis+a1)*dt/(a0-a1);
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303 | a0 = a1;
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304 |
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305 | if (++npasses > MAXPASSES || fabs(dt) >= MAXSTEP)
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306 | return (-3);
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307 |
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308 | } while (fabs(dt)>TMACC);
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309 |
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310 | /* return codes */
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311 | return (fabs(mjdn-mjd) < .5 ? 0 : -2);
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312 |
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313 | #undef MAXPASSES
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314 | #undef FIRSTSTEP
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315 | #undef MAXSTEP
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316 | }
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317 |
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318 | /* find when the given object transits. start the search when LST matches the
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319 | * object's RA at noon.
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320 | * if ok, return 0 with np and op set to the transit conditions; if can't
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321 | * converge return -1; if converges ok but not today return -2.
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322 | * N.B. we assume np is passed set to local noon.
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323 | */
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324 | static int
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325 | find_transit (double dt, Now *np, Obj *op)
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326 | {
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327 | #define MAXLOOPS 10
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328 | #define MAXERR (0.25/60.) /* hours */
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329 | double mjdn = mjd;
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330 | double lst;
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331 | int i;
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332 |
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333 | /* insure initial guess is today -- if not, move by 24 hours */
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334 | if (dt < -12.0)
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335 | dt += 24.0;
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336 | if (dt > 12.0)
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337 | dt -= 24.0;
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338 |
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339 | i = 0;
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340 | do {
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341 | mjd += dt/24.0;
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342 | if (obj_cir (np, op) < 0)
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343 | return (-1);
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344 | now_lst (np, &lst);
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345 | dt = (radhr(op->s_gaera) - lst);
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346 | if (dt < -12.0)
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347 | dt += 24.0;
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348 | if (dt > 12.0)
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349 | dt -= 24.0;
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350 | } while (++i < MAXLOOPS && fabs(dt) > MAXERR);
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351 |
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352 | /* return codes */
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353 | if (i == MAXLOOPS)
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354 | return (-1);
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355 | return (fabs(mjd - mjdn) < 0.5 ? 0 : -2);
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356 |
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357 | #undef MAXLOOPS
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358 | #undef MAXERR
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359 | }
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360 |
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361 | /* find the mjd time of max altitude between the given rise and set times.
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362 | * N.B. we assume *np and *op are working copies we can mess up.
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363 | * N.B. we just assume max occurs at the center time.
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364 | * return 0 if ok, else -1.
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365 | */
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366 | static int
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367 | find_max (
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368 | Now *np,
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369 | Obj *op,
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370 | double tr, double ts, /* times of rise and set */
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371 | double *tp, double *alp) /* time of max altitude, and that altitude */
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372 | {
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373 | /* want rise before set */
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374 | while (ts < tr)
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375 | tr -= 1.0/op->es_n;
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376 | mjd = (ts + tr)/2;
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377 | if (obj_cir (np, op) < 0)
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378 | return (-1);
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379 | *tp = mjd;
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380 | *alp = op->s_alt;
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381 | return (0);
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382 | }
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383 |
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384 | /* For RCS Only -- Do Not Edit */
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385 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: riset_cir.c,v $ $Date: 2009-07-16 10:34:39 $ $Revision: 1.8 $ $Name: not supported by cvs2svn $"};
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