[1457] | 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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[1719] | 136 | static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: aberration.c,v $ $Date: 2001-10-22 12:08:26 $ $Revision: 1.2 $ $Name: not supported by cvs2svn $"};
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