/* aberration, Jean Meeus, "Astronomical Algorithms", Willman-Bell, 1995; * based on secular unperturbed Kepler orbit * * the corrections should be applied to ra/dec and lam/beta of the * epoch of date. */ #include #include #if defined(__STDC__) #include #endif #include "P_.h" #include "astro.h" #define ABERR_CONST (20.49552/3600./180.*PI) /* aberr const in rad */ #define AB_ECL_EOD 0 #define AB_EQ_EOD 1 static void ab_aux P_((double mjd, double *x, double *y, double lsn, int mode)); /* apply aberration correction to ecliptical coordinates *lam and *bet * (in radians) for a given time mjd and handily supplied longitude of sun, * lsn (in radians) */ void ab_ecl (mjd, lsn, lam, bet) double mjd, lsn, *lam, *bet; { ab_aux(mjd, lam, bet, lsn, AB_ECL_EOD); } /* apply aberration correction to equatoreal coordinates *ra and *dec * (in radians) for a given time mjd and handily supplied longitude of sun, * lsn (in radians) */ void ab_eq (mjd, lsn, ra, dec) double mjd, lsn, *ra, *dec; { ab_aux(mjd, ra, dec, lsn, AB_EQ_EOD); } /* because the e-terms are secular, keep the real transformation for both * coordinate systems in here with the secular variables cached. * mode == AB_ECL_EOD: x = lam, y = bet (ecliptical) * mode == AB_EQ_EOD: x = ra, y = dec (equatoreal) */ static void ab_aux (mjd, x, y, lsn, mode) double mjd, *x, *y, lsn; int mode; { static double lastmjd = -10000; static double eexc; /* earth orbit excentricity */ static double leperi; /* ... and longitude of perihelion */ static char dirty = 1; /* flag for cached trig terms */ if (mjd != lastmjd) { double T; /* centuries since J2000 */ T = (mjd - J2000)/36525.; eexc = 0.016708617 - (42.037e-6 + 0.1236e-6 * T) * T; leperi = degrad(102.93735 + (0.71953 + 0.00046 * T) * T); lastmjd = mjd; dirty = 1; } switch (mode) { case AB_ECL_EOD: /* ecliptical coords */ { double *lam = x, *bet = y; double dlsun, dlperi; dlsun = lsn - *lam; dlperi = leperi - *lam; /* valid only for *bet != +-PI/2 */ *lam -= ABERR_CONST/cos(*bet) * (cos(dlsun) - eexc*cos(dlperi)); *bet -= ABERR_CONST*sin(*bet) * (sin(dlsun) - eexc*sin(dlperi)); } break; case AB_EQ_EOD: /* equatoreal coords */ { double *ra = x, *dec = y; double sr, cr, sd, cd, sls, cls;/* trig values coords */ static double cp, sp, ce, se; /* .. and perihel/eclipic */ double dra, ddec; /* changes in ra and dec */ if (dirty) { double eps; cp = cos(leperi); sp = sin(leperi); obliquity(mjd, &eps); se = sin(eps); ce = cos(eps); dirty = 0; } sr = sin(*ra); cr = cos(*ra); sd = sin(*dec); cd = cos(*dec); sls = sin(lsn); cls = cos(lsn); dra = ABERR_CONST/cd * ( -(cr * cls * ce + sr * sls) + eexc * (cr * cp * ce + sr * sp)); ddec = se/ce * cd - sr * sd; /* tmp use */ ddec = ABERR_CONST * ( -(cls * ce * ddec + cr * sd * sls) + eexc * (cp * ce * ddec + cr * sd * sp) ); *ra += dra; range (ra, 2*PI); *dec += ddec; } break; default: printf ("ab_aux: bad mode: %d\n", mode); exit (1); break; } /* switch (mode) */ } /* For RCS Only -- Do Not Edit */ static char *rcsid[2] = {(char *)rcsid, "@(#) $RCSfile: aberration.c,v $ $Date: 1997/05/19 18:21:12 $ $Revision: 1.1 $ $Name: $"};