| 1 | /* aberration, Jean Meeus, "Astronomical Algorithms", Willman-Bell, 1995;
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| 2 |  * based on secular unperturbed Kepler orbit
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| 3 |  *
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| 4 |  * the corrections should be applied to ra/dec and lam/beta of the 
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| 5 |  * epoch of date.
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| 6 |  */
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| 7 | 
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| 8 | #include <stdio.h>
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| 9 | #include <math.h>
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| 10 | 
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| 11 | #if defined(__STDC__)
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| 12 | #include <stdlib.h>
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| 13 | #endif
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| 14 | 
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| 15 | #include "P_.h"
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| 16 | #include "astro.h"
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| 17 | 
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| 18 | #define ABERR_CONST     (20.49552/3600./180.*PI)  /* aberr const in rad */
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| 19 | #define AB_ECL_EOD      0
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| 20 | #define AB_EQ_EOD       1
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| 21 | 
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| 22 | static void ab_aux P_((double mjd, double *x, double *y, double lsn,
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| 23 |         int mode));
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| 24 | 
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| 25 | /* apply aberration correction to ecliptical coordinates *lam and *bet
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| 26 |  * (in radians) for a given time mjd and handily supplied longitude of sun,
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| 27 |  * lsn (in radians)
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| 28 |  */
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| 29 | void
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| 30 | ab_ecl (mjd, lsn, lam, bet)
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| 31 | double mjd, lsn, *lam, *bet;
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| 32 | {
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| 33 |         ab_aux(mjd, lam, bet, lsn, AB_ECL_EOD);
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| 34 | }
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| 35 | 
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| 36 | /* apply aberration correction to equatoreal coordinates *ra and *dec
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| 37 |  * (in radians) for a given time mjd and handily supplied longitude of sun,
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| 38 |  * lsn (in radians)
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| 39 |  */
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| 40 | void
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| 41 | ab_eq (mjd, lsn, ra, dec)
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| 42 | double mjd, lsn, *ra, *dec;
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| 43 | {
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| 44 |         ab_aux(mjd, ra, dec, lsn, AB_EQ_EOD);
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| 45 | }
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| 46 | 
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| 47 | /* because the e-terms are secular, keep the real transformation for both
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| 48 |  * coordinate systems in here with the secular variables cached.
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| 49 |  * mode == AB_ECL_EOD:  x = lam, y = bet        (ecliptical)
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| 50 |  * mode == AB_EQ_EOD:   x = ra,  y = dec        (equatoreal)
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| 51 |  */
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| 52 | static void
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| 53 | ab_aux (mjd, x, y, lsn, mode)
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| 54 | double mjd, *x, *y, lsn;
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| 55 | int mode;
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| 56 | {
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| 57 |         static double lastmjd = -10000;
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| 58 |         static double eexc;     /* earth orbit excentricity */
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| 59 |         static double leperi;   /* ... and longitude of perihelion */
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| 60 |         static char dirty = 1;  /* flag for cached trig terms */
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| 61 | 
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| 62 |         if (mjd != lastmjd) {
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| 63 |             double T;           /* centuries since J2000 */
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| 64 | 
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| 65 |             T = (mjd - J2000)/36525.;
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| 66 |             eexc = 0.016708617 - (42.037e-6 + 0.1236e-6 * T) * T;
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| 67 |             leperi = degrad(102.93735 + (0.71953 + 0.00046 * T) * T);
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| 68 |             lastmjd = mjd;
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| 69 |             dirty = 1;
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| 70 |         }
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| 71 | 
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| 72 |         switch (mode) {
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| 73 |         case AB_ECL_EOD:                /* ecliptical coords */
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| 74 |             {
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| 75 |                 double *lam = x, *bet = y;
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| 76 |                 double dlsun, dlperi;
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| 77 | 
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| 78 |                 dlsun = lsn - *lam;
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| 79 |                 dlperi = leperi - *lam;
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| 80 | 
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| 81 |                 /* valid only for *bet != +-PI/2 */
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| 82 |                 *lam -= ABERR_CONST/cos(*bet) * (cos(dlsun) -
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| 83 |                                 eexc*cos(dlperi));
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| 84 |                 *bet -= ABERR_CONST*sin(*bet) * (sin(dlsun) -
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| 85 |                                 eexc*sin(dlperi));
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| 86 |             }
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| 87 |             break;
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| 88 | 
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| 89 |         case AB_EQ_EOD:                 /* equatoreal coords */
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| 90 |             {
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| 91 |                 double *ra = x, *dec = y;
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| 92 |                 double sr, cr, sd, cd, sls, cls;/* trig values coords */
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| 93 |                 static double cp, sp, ce, se;   /* .. and perihel/eclipic */
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| 94 |                 double dra, ddec;               /* changes in ra and dec */
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| 95 | 
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| 96 |                 if (dirty) {
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| 97 |                     double eps;
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| 98 | 
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| 99 |                     cp = cos(leperi);
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| 100 |                     sp = sin(leperi);
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| 101 |                     obliquity(mjd, &eps);
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| 102 |                     se = sin(eps);
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| 103 |                     ce = cos(eps);
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| 104 |                     dirty = 0;
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| 105 |                 }
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| 106 | 
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| 107 |                 sr = sin(*ra);
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| 108 |                 cr = cos(*ra);
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| 109 |                 sd = sin(*dec);
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| 110 |                 cd = cos(*dec);
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| 111 |                 sls = sin(lsn);
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| 112 |                 cls = cos(lsn);
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| 113 | 
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| 114 |                 dra = ABERR_CONST/cd * ( -(cr * cls * ce + sr * sls) +
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| 115 |                             eexc * (cr * cp * ce + sr * sp));
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| 116 | 
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| 117 |                 ddec = se/ce * cd - sr * sd;    /* tmp use */
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| 118 |                 ddec = ABERR_CONST * ( -(cls * ce * ddec + cr * sd * sls) +
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| 119 |                             eexc * (cp * ce * ddec + cr * sd * sp) );
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| 120 |                 
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| 121 |                 *ra += dra;
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| 122 |                 range (ra, 2*PI);
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| 123 |                 *dec += ddec;
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| 124 |             }
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| 125 |             break;
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| 126 | 
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| 127 |         default:
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| 128 |             printf ("ab_aux: bad mode: %d\n", mode);
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| 129 |             exit (1);
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| 130 |             break;
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| 131 | 
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| 132 |         } /* switch (mode) */
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| 133 | }
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| 134 | 
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| 135 | /* For RCS Only -- Do Not Edit */
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| 136 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: aberration.c,v $ $Date: 2001-04-10 14:40:45 $ $Revision: 1.1.1.1 $ $Name: not supported by cvs2svn $"};
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