| 1 | #include "slalib.h" | 
|---|
| 2 | #include "slamac.h" | 
|---|
| 3 | void slaRdplan ( double date, int np, double elong, double phi, | 
|---|
| 4 | double *ra, double *dec, double *diam ) | 
|---|
| 5 | /* | 
|---|
| 6 | **  - - - - - - - - - - | 
|---|
| 7 | **   s l a R d p l a n | 
|---|
| 8 | **  - - - - - - - - - - | 
|---|
| 9 | ** | 
|---|
| 10 | **  Approximate topocentric apparent RA,Dec of a planet, and its | 
|---|
| 11 | **  angular diameter. | 
|---|
| 12 | ** | 
|---|
| 13 | **  Given: | 
|---|
| 14 | **     date        double     MJD of observation (JD - 2400000.5) | 
|---|
| 15 | **     np          int        planet: 1 = Mercury | 
|---|
| 16 | **                                    2 = Venus | 
|---|
| 17 | **                                    3 = Moon | 
|---|
| 18 | **                                    4 = Mars | 
|---|
| 19 | **                                    5 = Jupiter | 
|---|
| 20 | **                                    6 = Saturn | 
|---|
| 21 | **                                    7 = Uranus | 
|---|
| 22 | **                                    8 = Neptune | 
|---|
| 23 | **                                    9 = Pluto | 
|---|
| 24 | **                                 else = Sun | 
|---|
| 25 | **     elong,phi   double     observer's east longitude and geodetic | 
|---|
| 26 | **                                                  latitude (radians) | 
|---|
| 27 | ** | 
|---|
| 28 | **  Returned: | 
|---|
| 29 | **     ra,dec      double     RA, Dec (topocentric apparent, radians) | 
|---|
| 30 | **     diam        double     angular diameter (equatorial, radians) | 
|---|
| 31 | ** | 
|---|
| 32 | **  Notes: | 
|---|
| 33 | ** | 
|---|
| 34 | **  1  The date is in a dynamical timescale (TDB, formerly ET) and is | 
|---|
| 35 | **     in the form of a Modified Julian Date (JD-2400000.5).  For all | 
|---|
| 36 | **     practical purposes, TT can be used instead of TDB, and for many | 
|---|
| 37 | **     applications UT will do (except for the Moon). | 
|---|
| 38 | ** | 
|---|
| 39 | **  2  The longitude and latitude allow correction for geocentric | 
|---|
| 40 | **     parallax.  This is a major effect for the Moon, but in the | 
|---|
| 41 | **     context of the limited accuracy of the present routine its | 
|---|
| 42 | **     effect on planetary positions is small (negligible for the | 
|---|
| 43 | **     outer planets).  Geocentric positions can be generated by | 
|---|
| 44 | **     appropriate use of the routines slaDmoon and slaPlanet. | 
|---|
| 45 | ** | 
|---|
| 46 | **  3  The direction accuracy (arcsec, 1000-3000AD) is of order: | 
|---|
| 47 | ** | 
|---|
| 48 | **            Sun              5 | 
|---|
| 49 | **            Mercury          2 | 
|---|
| 50 | **            Venus           10 | 
|---|
| 51 | **            Moon            30 | 
|---|
| 52 | **            Mars            50 | 
|---|
| 53 | **            Jupiter         90 | 
|---|
| 54 | **            Saturn          90 | 
|---|
| 55 | **            Uranus          90 | 
|---|
| 56 | **            Neptune         10 | 
|---|
| 57 | **            Pluto            1   (1885-2099AD only) | 
|---|
| 58 | ** | 
|---|
| 59 | **     The angular diameter accuracy is about 0.4% for the Moon, | 
|---|
| 60 | **     and 0.01% or better for the Sun and planets. | 
|---|
| 61 | ** | 
|---|
| 62 | **  Called: slaGmst, slaDt, slaEpj, slaDmoon, slaPvobs, slaPrenut, | 
|---|
| 63 | **          slaPlanet, slaDmxv, slaDcc2s, slaDranrm | 
|---|
| 64 | ** | 
|---|
| 65 | **  Last revision:   27 May 1997 | 
|---|
| 66 | ** | 
|---|
| 67 | **  Copyright P.T.Wallace.  All rights reserved. | 
|---|
| 68 | */ | 
|---|
| 69 |  | 
|---|
| 70 | #define AUKM 1.49597870e8    /* AU in km */ | 
|---|
| 71 | #define TAU 499.004782       /* Light time for unit distance (sec) */ | 
|---|
| 72 |  | 
|---|
| 73 | { | 
|---|
| 74 | int ip, j, i; | 
|---|
| 75 | double stl, vgm[6], v[6], rmat[3][3], vse[6], vsg[6], vsp[6], | 
|---|
| 76 | vgo[6], dx, dy, dz, r, tl; | 
|---|
| 77 |  | 
|---|
| 78 | /* Equatorial radii (km) */ | 
|---|
| 79 | static double eqrau[] = { | 
|---|
| 80 | 696000.0,          /* Sun     */ | 
|---|
| 81 | 2439.7,            /* Mercury */ | 
|---|
| 82 | 6051.9,            /* Venus   */ | 
|---|
| 83 | 1738.0,            /* Moon    */ | 
|---|
| 84 | 3397.0,            /* Mars    */ | 
|---|
| 85 | 71492.0,           /* Jupiter */ | 
|---|
| 86 | 60268.0,           /* Saturn  */ | 
|---|
| 87 | 25559.0,           /* Uranus  */ | 
|---|
| 88 | 24764.0,           /* Neptune */ | 
|---|
| 89 | 1151.0             /* Pluto   */ | 
|---|
| 90 | }; | 
|---|
| 91 |  | 
|---|
| 92 |  | 
|---|
| 93 |  | 
|---|
| 94 | /* Classify NP. */ | 
|---|
| 95 | ip = ( np >= 1 && np <= 9 ) ? np : 0; | 
|---|
| 96 |  | 
|---|
| 97 | /* Approximate local ST. */ | 
|---|
| 98 | stl = slaGmst ( date - slaDt ( slaEpj ( date ) ) / 86400.0 ) + elong; | 
|---|
| 99 |  | 
|---|
| 100 | /* Geocentre to Moon (mean of date). */ | 
|---|
| 101 | slaDmoon ( date, v ); | 
|---|
| 102 |  | 
|---|
| 103 | /* Nutation, to true of date. */ | 
|---|
| 104 | slaNut ( date, rmat ); | 
|---|
| 105 | slaDmxv ( rmat, &v[0], &vgm[0] ); | 
|---|
| 106 | slaDmxv ( rmat, &v[3], &vgm[3] ); | 
|---|
| 107 |  | 
|---|
| 108 | /* Moon? */ | 
|---|
| 109 | if ( ip == 3 ) { | 
|---|
| 110 |  | 
|---|
| 111 | /* Yes: geocentre to Moon (true of date). */ | 
|---|
| 112 | for ( i = 0; i <= 5; i++ ) v[i] = vgm[i]; | 
|---|
| 113 |  | 
|---|
| 114 | } else { | 
|---|
| 115 |  | 
|---|
| 116 | /* No: precession/nutation matrix, J2000 to date. */ | 
|---|
| 117 | slaPrenut ( 2000.0, date, rmat ); | 
|---|
| 118 |  | 
|---|
| 119 | /* Sun to Earth-Moon Barycentre (J2000). */ | 
|---|
| 120 | slaPlanet ( date, 3, v, &j ); | 
|---|
| 121 |  | 
|---|
| 122 | /* Precession and nutation to date. */ | 
|---|
| 123 | slaDmxv ( rmat, &v[0], &vse[0] ); | 
|---|
| 124 | slaDmxv ( rmat, &v[3], &vse[3] ); | 
|---|
| 125 |  | 
|---|
| 126 | /* Sun to geocentre. */ | 
|---|
| 127 | for ( i = 0; i <= 5; i++ ) vsg[i] = vse[i] - 0.012150581 * vgm[i]; | 
|---|
| 128 |  | 
|---|
| 129 | /* Sun? */ | 
|---|
| 130 | if ( ip == 0 ) { | 
|---|
| 131 |  | 
|---|
| 132 | /* Yes: geocentre to Sun. */ | 
|---|
| 133 | for ( i = 0; i <= 5; i++ ) v[i] = - vsg[i]; | 
|---|
| 134 |  | 
|---|
| 135 | } else { | 
|---|
| 136 |  | 
|---|
| 137 | /* No: Sun to Planet. */ | 
|---|
| 138 | slaPlanet ( date, ip, v, &j ); | 
|---|
| 139 |  | 
|---|
| 140 | /* Precession and nutation to date. */ | 
|---|
| 141 | slaDmxv ( rmat, &v[0], &vsp[0] ); | 
|---|
| 142 | slaDmxv ( rmat, &v[3], &vsp[3] ); | 
|---|
| 143 |  | 
|---|
| 144 | /* Geocentre to planet. */ | 
|---|
| 145 | for ( i = 0; i <= 5; i++ ) v[i] = vsp[i] - vsg[i]; | 
|---|
| 146 | } | 
|---|
| 147 | } | 
|---|
| 148 |  | 
|---|
| 149 | /* Refer to origin at the observer. */ | 
|---|
| 150 | slaPvobs ( phi, 0.0, stl, vgo ); | 
|---|
| 151 | for ( i = 0; i <= 5; i++ ) v[i] -= vgo[i]; | 
|---|
| 152 |  | 
|---|
| 153 | /* Geometric distance (AU). */ | 
|---|
| 154 | dx = v[0]; | 
|---|
| 155 | dy = v[1]; | 
|---|
| 156 | dz = v[2]; | 
|---|
| 157 | r = sqrt ( dx * dx + dy * dy + dz * dz ); | 
|---|
| 158 |  | 
|---|
| 159 | /* Light time (sec). */ | 
|---|
| 160 | tl = TAU * r; | 
|---|
| 161 |  | 
|---|
| 162 | /* Correct position for planetary aberration. */ | 
|---|
| 163 | for ( i = 0; i <= 2; i++ ) v[i] -= tl * v[i+3]; | 
|---|
| 164 |  | 
|---|
| 165 | /* To RA,Dec. */ | 
|---|
| 166 | slaDcc2s ( v, ra, dec ); | 
|---|
| 167 | *ra = slaDranrm ( *ra ); | 
|---|
| 168 |  | 
|---|
| 169 | /* Angular diameter (radians). */ | 
|---|
| 170 | *diam = 2.0 * asin ( eqrau[ip] / ( r * AUKM ) ); | 
|---|
| 171 | } | 
|---|