| 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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