| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | /* | 
| 2 |  |  |  |  |  |  | *+ | 
| 3 |  |  |  |  |  |  | *  Name: | 
| 4 |  |  |  |  |  |  | *     palPlante | 
| 5 |  |  |  |  |  |  |  | 
| 6 |  |  |  |  |  |  | *  Purpose: | 
| 7 |  |  |  |  |  |  | *     Topocentric RA,Dec of a Solar-System object from heliocentric orbital elements | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | *  Language: | 
| 10 |  |  |  |  |  |  | *     Starlink ANSI C | 
| 11 |  |  |  |  |  |  |  | 
| 12 |  |  |  |  |  |  | *  Type of Module: | 
| 13 |  |  |  |  |  |  | *     Library routine | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | *  Invocation: | 
| 16 |  |  |  |  |  |  | *     void palPlante ( double date, double elong, double phi, int jform, | 
| 17 |  |  |  |  |  |  | *                      double epoch, double orbinc, double anode, double perih, | 
| 18 |  |  |  |  |  |  | *                      double aorq, double e, double aorl, double dm, | 
| 19 |  |  |  |  |  |  | *                      double *ra, double *dec, double *r, int *jstat ); | 
| 20 |  |  |  |  |  |  |  | 
| 21 |  |  |  |  |  |  |  | 
| 22 |  |  |  |  |  |  | *  Description: | 
| 23 |  |  |  |  |  |  | *     Topocentric apparent RA,Dec of a Solar-System object whose | 
| 24 |  |  |  |  |  |  | *     heliocentric orbital elements are known. | 
| 25 |  |  |  |  |  |  |  | 
| 26 |  |  |  |  |  |  | *  Arguments: | 
| 27 |  |  |  |  |  |  | *     date = double (Given) | 
| 28 |  |  |  |  |  |  | *        TT MJD of observation (JD-2400000.5) | 
| 29 |  |  |  |  |  |  | *     elong = double (Given) | 
| 30 |  |  |  |  |  |  | *        Observer's east longitude (radians) | 
| 31 |  |  |  |  |  |  | *     phi = double (Given) | 
| 32 |  |  |  |  |  |  | *        Observer's geodetic latitude (radians) | 
| 33 |  |  |  |  |  |  | *     jform = int (Given) | 
| 34 |  |  |  |  |  |  | *        Element set actually returned (1-3; Note 6) | 
| 35 |  |  |  |  |  |  | *     epoch = double (Given) | 
| 36 |  |  |  |  |  |  | *        Epoch of elements (TT MJD) | 
| 37 |  |  |  |  |  |  | *     orbinc = double (Given) | 
| 38 |  |  |  |  |  |  | *        inclination (radians) | 
| 39 |  |  |  |  |  |  | *     anode = double (Given) | 
| 40 |  |  |  |  |  |  | *        longitude of the ascending node (radians) | 
| 41 |  |  |  |  |  |  | *     perih = double (Given) | 
| 42 |  |  |  |  |  |  | *        longitude or argument of perihelion (radians) | 
| 43 |  |  |  |  |  |  | *     aorq = double (Given) | 
| 44 |  |  |  |  |  |  | *        mean distance or perihelion distance (AU) | 
| 45 |  |  |  |  |  |  | *     e = double (Given) | 
| 46 |  |  |  |  |  |  | *        eccentricity | 
| 47 |  |  |  |  |  |  | *     aorl = double (Given) | 
| 48 |  |  |  |  |  |  | *        mean anomaly or longitude (radians, JFORM=1,2 only) | 
| 49 |  |  |  |  |  |  | *     dm = double (Given) | 
| 50 |  |  |  |  |  |  | *        daily motion (radians, JFORM=1 only) | 
| 51 |  |  |  |  |  |  | *     ra = double * (Returned) | 
| 52 |  |  |  |  |  |  | *        Topocentric apparent RA (radians) | 
| 53 |  |  |  |  |  |  | *     dec = double * (Returned) | 
| 54 |  |  |  |  |  |  | *        Topocentric apparent Dec (radians) | 
| 55 |  |  |  |  |  |  | *     r = double * (Returned) | 
| 56 |  |  |  |  |  |  | *        Distance from observer (AU) | 
| 57 |  |  |  |  |  |  | *     jstat = int * (Returned) | 
| 58 |  |  |  |  |  |  | *        status: 0 = OK | 
| 59 |  |  |  |  |  |  | *             - -1 = illegal jform | 
| 60 |  |  |  |  |  |  | *             - -2 = illegal e | 
| 61 |  |  |  |  |  |  | *             - -3 = illegal aorq | 
| 62 |  |  |  |  |  |  | *             - -4 = illegal dm | 
| 63 |  |  |  |  |  |  | *             - -5 = numerical error | 
| 64 |  |  |  |  |  |  |  | 
| 65 |  |  |  |  |  |  | *  Authors: | 
| 66 |  |  |  |  |  |  | *     PTW: Pat Wallace (STFC) | 
| 67 |  |  |  |  |  |  | *     TIMJ: Tim Jenness (JAC, Hawaii) | 
| 68 |  |  |  |  |  |  | *     {enter_new_authors_here} | 
| 69 |  |  |  |  |  |  |  | 
| 70 |  |  |  |  |  |  | *  Notes: | 
| 71 |  |  |  |  |  |  | *     - DATE is the instant for which the prediction is required.  It is | 
| 72 |  |  |  |  |  |  | *       in the TT timescale (formerly Ephemeris Time, ET) and is a | 
| 73 |  |  |  |  |  |  | *       Modified Julian Date (JD-2400000.5). | 
| 74 |  |  |  |  |  |  | *     - The longitude and latitude allow correction for geocentric | 
| 75 |  |  |  |  |  |  | *       parallax.  This is usually a small effect, but can become | 
| 76 |  |  |  |  |  |  | *       important for near-Earth asteroids.  Geocentric positions can be | 
| 77 |  |  |  |  |  |  | *       generated by appropriate use of routines palEpv (or palEvp) and | 
| 78 |  |  |  |  |  |  | *       palUe2pv. | 
| 79 |  |  |  |  |  |  | *     - The elements are with respect to the J2000 ecliptic and equinox. | 
| 80 |  |  |  |  |  |  | *     - A choice of three different element-set options is available: | 
| 81 |  |  |  |  |  |  | * | 
| 82 |  |  |  |  |  |  | *       Option JFORM = 1, suitable for the major planets: | 
| 83 |  |  |  |  |  |  | * | 
| 84 |  |  |  |  |  |  | *         EPOCH  = epoch of elements (TT MJD) | 
| 85 |  |  |  |  |  |  | *         ORBINC = inclination i (radians) | 
| 86 |  |  |  |  |  |  | *         ANODE  = longitude of the ascending node, big omega (radians) | 
| 87 |  |  |  |  |  |  | *         PERIH  = longitude of perihelion, curly pi (radians) | 
| 88 |  |  |  |  |  |  | *         AORQ   = mean distance, a (AU) | 
| 89 |  |  |  |  |  |  | *         E      = eccentricity, e (range 0 to <1) | 
| 90 |  |  |  |  |  |  | *         AORL   = mean longitude L (radians) | 
| 91 |  |  |  |  |  |  | *         DM     = daily motion (radians) | 
| 92 |  |  |  |  |  |  | * | 
| 93 |  |  |  |  |  |  | *       Option JFORM = 2, suitable for minor planets: | 
| 94 |  |  |  |  |  |  | * | 
| 95 |  |  |  |  |  |  | *         EPOCH  = epoch of elements (TT MJD) | 
| 96 |  |  |  |  |  |  | *         ORBINC = inclination i (radians) | 
| 97 |  |  |  |  |  |  | *         ANODE  = longitude of the ascending node, big omega (radians) | 
| 98 |  |  |  |  |  |  | *         PERIH  = argument of perihelion, little omega (radians) | 
| 99 |  |  |  |  |  |  | *         AORQ   = mean distance, a (AU) | 
| 100 |  |  |  |  |  |  | *         E      = eccentricity, e (range 0 to <1) | 
| 101 |  |  |  |  |  |  | *         AORL   = mean anomaly M (radians) | 
| 102 |  |  |  |  |  |  | * | 
| 103 |  |  |  |  |  |  | *       Option JFORM = 3, suitable for comets: | 
| 104 |  |  |  |  |  |  | * | 
| 105 |  |  |  |  |  |  | *         EPOCH  = epoch of elements and perihelion (TT MJD) | 
| 106 |  |  |  |  |  |  | *         ORBINC = inclination i (radians) | 
| 107 |  |  |  |  |  |  | *         ANODE  = longitude of the ascending node, big omega (radians) | 
| 108 |  |  |  |  |  |  | *         PERIH  = argument of perihelion, little omega (radians) | 
| 109 |  |  |  |  |  |  | *         AORQ   = perihelion distance, q (AU) | 
| 110 |  |  |  |  |  |  | *         E      = eccentricity, e (range 0 to 10) | 
| 111 |  |  |  |  |  |  | * | 
| 112 |  |  |  |  |  |  | *       Unused arguments (DM for JFORM=2, AORL and DM for JFORM=3) are not | 
| 113 |  |  |  |  |  |  | *       accessed. | 
| 114 |  |  |  |  |  |  | *     - Each of the three element sets defines an unperturbed heliocentric | 
| 115 |  |  |  |  |  |  | *       orbit.  For a given epoch of observation, the position of the body | 
| 116 |  |  |  |  |  |  | *       in its orbit can be predicted from these elements, which are | 
| 117 |  |  |  |  |  |  | *       called "osculating elements", using standard two-body analytical | 
| 118 |  |  |  |  |  |  | *       solutions.  However, due to planetary perturbations, a given set | 
| 119 |  |  |  |  |  |  | *       of osculating elements remains usable for only as long as the | 
| 120 |  |  |  |  |  |  | *       unperturbed orbit that it describes is an adequate approximation | 
| 121 |  |  |  |  |  |  | *       to reality.  Attached to such a set of elements is a date called | 
| 122 |  |  |  |  |  |  | *       the "osculating epoch", at which the elements are, momentarily, | 
| 123 |  |  |  |  |  |  | *       a perfect representation of the instantaneous position and | 
| 124 |  |  |  |  |  |  | *       velocity of the body. | 
| 125 |  |  |  |  |  |  | * | 
| 126 |  |  |  |  |  |  | *       Therefore, for any given problem there are up to three different | 
| 127 |  |  |  |  |  |  | *       epochs in play, and it is vital to distinguish clearly between | 
| 128 |  |  |  |  |  |  | *       them: | 
| 129 |  |  |  |  |  |  | * | 
| 130 |  |  |  |  |  |  | *       . The epoch of observation:  the moment in time for which the | 
| 131 |  |  |  |  |  |  | *         position of the body is to be predicted. | 
| 132 |  |  |  |  |  |  | * | 
| 133 |  |  |  |  |  |  | *       . The epoch defining the position of the body:  the moment in time | 
| 134 |  |  |  |  |  |  | *         at which, in the absence of purturbations, the specified | 
| 135 |  |  |  |  |  |  | *         position (mean longitude, mean anomaly, or perihelion) is | 
| 136 |  |  |  |  |  |  | *         reached. | 
| 137 |  |  |  |  |  |  | * | 
| 138 |  |  |  |  |  |  | *       . The osculating epoch:  the moment in time at which the given | 
| 139 |  |  |  |  |  |  | *         elements are correct. | 
| 140 |  |  |  |  |  |  | * | 
| 141 |  |  |  |  |  |  | *       For the major-planet and minor-planet cases it is usual to make | 
| 142 |  |  |  |  |  |  | *       the epoch that defines the position of the body the same as the | 
| 143 |  |  |  |  |  |  | *       epoch of osculation.  Thus, only two different epochs are | 
| 144 |  |  |  |  |  |  | *       involved:  the epoch of the elements and the epoch of observation. | 
| 145 |  |  |  |  |  |  | * | 
| 146 |  |  |  |  |  |  | *       For comets, the epoch of perihelion fixes the position in the | 
| 147 |  |  |  |  |  |  | *       orbit and in general a different epoch of osculation will be | 
| 148 |  |  |  |  |  |  | *       chosen.  Thus, all three types of epoch are involved. | 
| 149 |  |  |  |  |  |  | * | 
| 150 |  |  |  |  |  |  | *       For the present routine: | 
| 151 |  |  |  |  |  |  | * | 
| 152 |  |  |  |  |  |  | *       . The epoch of observation is the argument DATE. | 
| 153 |  |  |  |  |  |  | * | 
| 154 |  |  |  |  |  |  | *       . The epoch defining the position of the body is the argument | 
| 155 |  |  |  |  |  |  | *         EPOCH. | 
| 156 |  |  |  |  |  |  | * | 
| 157 |  |  |  |  |  |  | *       . The osculating epoch is not used and is assumed to be close | 
| 158 |  |  |  |  |  |  | *         enough to the epoch of observation to deliver adequate accuracy. | 
| 159 |  |  |  |  |  |  | *         If not, a preliminary call to palPertel may be used to update | 
| 160 |  |  |  |  |  |  | *         the element-set (and its associated osculating epoch) by | 
| 161 |  |  |  |  |  |  | *         applying planetary perturbations. | 
| 162 |  |  |  |  |  |  | *     - Two important sources for orbital elements are Horizons, operated | 
| 163 |  |  |  |  |  |  | *       by the Jet Propulsion Laboratory, Pasadena, and the Minor Planet | 
| 164 |  |  |  |  |  |  | *       Center, operated by the Center for Astrophysics, Harvard. | 
| 165 |  |  |  |  |  |  | * | 
| 166 |  |  |  |  |  |  | *       The JPL Horizons elements (heliocentric, J2000 ecliptic and | 
| 167 |  |  |  |  |  |  | *       equinox) correspond to PAL/SLALIB arguments as follows. | 
| 168 |  |  |  |  |  |  | * | 
| 169 |  |  |  |  |  |  | *        Major planets: | 
| 170 |  |  |  |  |  |  | * | 
| 171 |  |  |  |  |  |  | *         JFORM  = 1 | 
| 172 |  |  |  |  |  |  | *         EPOCH  = JDCT-2400000.5 | 
| 173 |  |  |  |  |  |  | *         ORBINC = IN (in radians) | 
| 174 |  |  |  |  |  |  | *         ANODE  = OM (in radians) | 
| 175 |  |  |  |  |  |  | *         PERIH  = OM+W (in radians) | 
| 176 |  |  |  |  |  |  | *         AORQ   = A | 
| 177 |  |  |  |  |  |  | *         E      = EC | 
| 178 |  |  |  |  |  |  | *         AORL   = MA+OM+W (in radians) | 
| 179 |  |  |  |  |  |  | *         DM     = N (in radians) | 
| 180 |  |  |  |  |  |  | * | 
| 181 |  |  |  |  |  |  | *         Epoch of osculation = JDCT-2400000.5 | 
| 182 |  |  |  |  |  |  | * | 
| 183 |  |  |  |  |  |  | *        Minor planets: | 
| 184 |  |  |  |  |  |  | * | 
| 185 |  |  |  |  |  |  | *         JFORM  = 2 | 
| 186 |  |  |  |  |  |  | *         EPOCH  = JDCT-2400000.5 | 
| 187 |  |  |  |  |  |  | *         ORBINC = IN (in radians) | 
| 188 |  |  |  |  |  |  | *         ANODE  = OM (in radians) | 
| 189 |  |  |  |  |  |  | *         PERIH  = W (in radians) | 
| 190 |  |  |  |  |  |  | *         AORQ   = A | 
| 191 |  |  |  |  |  |  | *         E      = EC | 
| 192 |  |  |  |  |  |  | *         AORL   = MA (in radians) | 
| 193 |  |  |  |  |  |  | * | 
| 194 |  |  |  |  |  |  | *         Epoch of osculation = JDCT-2400000.5 | 
| 195 |  |  |  |  |  |  | * | 
| 196 |  |  |  |  |  |  | *        Comets: | 
| 197 |  |  |  |  |  |  | * | 
| 198 |  |  |  |  |  |  | *         JFORM  = 3 | 
| 199 |  |  |  |  |  |  | *         EPOCH  = Tp-2400000.5 | 
| 200 |  |  |  |  |  |  | *         ORBINC = IN (in radians) | 
| 201 |  |  |  |  |  |  | *         ANODE  = OM (in radians) | 
| 202 |  |  |  |  |  |  | *         PERIH  = W (in radians) | 
| 203 |  |  |  |  |  |  | *         AORQ   = QR | 
| 204 |  |  |  |  |  |  | *         E      = EC | 
| 205 |  |  |  |  |  |  | * | 
| 206 |  |  |  |  |  |  | *         Epoch of osculation = JDCT-2400000.5 | 
| 207 |  |  |  |  |  |  | * | 
| 208 |  |  |  |  |  |  | *      The MPC elements correspond to SLALIB arguments as follows. | 
| 209 |  |  |  |  |  |  | * | 
| 210 |  |  |  |  |  |  | *        Minor planets: | 
| 211 |  |  |  |  |  |  | * | 
| 212 |  |  |  |  |  |  | *         JFORM  = 2 | 
| 213 |  |  |  |  |  |  | *         EPOCH  = Epoch-2400000.5 | 
| 214 |  |  |  |  |  |  | *         ORBINC = Incl. (in radians) | 
| 215 |  |  |  |  |  |  | *         ANODE  = Node (in radians) | 
| 216 |  |  |  |  |  |  | *         PERIH  = Perih. (in radians) | 
| 217 |  |  |  |  |  |  | *         AORQ   = a | 
| 218 |  |  |  |  |  |  | *         E      = e | 
| 219 |  |  |  |  |  |  | *         AORL   = M (in radians) | 
| 220 |  |  |  |  |  |  | * | 
| 221 |  |  |  |  |  |  | *         Epoch of osculation = Epoch-2400000.5 | 
| 222 |  |  |  |  |  |  | * | 
| 223 |  |  |  |  |  |  | *       Comets: | 
| 224 |  |  |  |  |  |  | * | 
| 225 |  |  |  |  |  |  | *         JFORM  = 3 | 
| 226 |  |  |  |  |  |  | *         EPOCH  = T-2400000.5 | 
| 227 |  |  |  |  |  |  | *         ORBINC = Incl. (in radians) | 
| 228 |  |  |  |  |  |  | *         ANODE  = Node. (in radians) | 
| 229 |  |  |  |  |  |  | *         PERIH  = Perih. (in radians) | 
| 230 |  |  |  |  |  |  | *         AORQ   = q | 
| 231 |  |  |  |  |  |  | *         E      = e | 
| 232 |  |  |  |  |  |  | * | 
| 233 |  |  |  |  |  |  | *         Epoch of osculation = Epoch-2400000.5 | 
| 234 |  |  |  |  |  |  |  | 
| 235 |  |  |  |  |  |  | *  History: | 
| 236 |  |  |  |  |  |  | *     2012-03-12 (TIMJ): | 
| 237 |  |  |  |  |  |  | *        Initial version direct conversion of SLA/F. | 
| 238 |  |  |  |  |  |  | *        Adapted with permission from the Fortran SLALIB library. | 
| 239 |  |  |  |  |  |  | *     {enter_further_changes_here} | 
| 240 |  |  |  |  |  |  |  | 
| 241 |  |  |  |  |  |  | *  Copyright: | 
| 242 |  |  |  |  |  |  | *     Copyright (C) 2004 Patrick T. Wallace | 
| 243 |  |  |  |  |  |  | *     Copyright (C) 2012 Science and Technology Facilities Council. | 
| 244 |  |  |  |  |  |  | *     All Rights Reserved. | 
| 245 |  |  |  |  |  |  |  | 
| 246 |  |  |  |  |  |  | *  Licence: | 
| 247 |  |  |  |  |  |  | *     This program is free software; you can redistribute it and/or | 
| 248 |  |  |  |  |  |  | *     modify it under the terms of the GNU General Public License as | 
| 249 |  |  |  |  |  |  | *     published by the Free Software Foundation; either version 3 of | 
| 250 |  |  |  |  |  |  | *     the License, or (at your option) any later version. | 
| 251 |  |  |  |  |  |  | * | 
| 252 |  |  |  |  |  |  | *     This program is distributed in the hope that it will be | 
| 253 |  |  |  |  |  |  | *     useful, but WITHOUT ANY WARRANTY; without even the implied | 
| 254 |  |  |  |  |  |  | *     warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR | 
| 255 |  |  |  |  |  |  | *     PURPOSE. See the GNU General Public License for more details. | 
| 256 |  |  |  |  |  |  | * | 
| 257 |  |  |  |  |  |  | *     You should have received a copy of the GNU General Public License | 
| 258 |  |  |  |  |  |  | *     along with this program; if not, write to the Free Software | 
| 259 |  |  |  |  |  |  | *     Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, | 
| 260 |  |  |  |  |  |  | *     MA 02110-1301, USA. | 
| 261 |  |  |  |  |  |  |  | 
| 262 |  |  |  |  |  |  | *  Bugs: | 
| 263 |  |  |  |  |  |  | *     {note_any_bugs_here} | 
| 264 |  |  |  |  |  |  | *- | 
| 265 |  |  |  |  |  |  | */ | 
| 266 |  |  |  |  |  |  |  | 
| 267 |  |  |  |  |  |  | #include "pal.h" | 
| 268 |  |  |  |  |  |  |  | 
| 269 | 1 |  |  |  |  |  | void palPlante ( double date, double elong, double phi, int jform, | 
| 270 |  |  |  |  |  |  | double epoch, double orbinc, double anode, double perih, | 
| 271 |  |  |  |  |  |  | double aorq, double e, double aorl, double dm, | 
| 272 |  |  |  |  |  |  | double *ra, double *dec, double *r, int *jstat ) { | 
| 273 |  |  |  |  |  |  |  | 
| 274 |  |  |  |  |  |  | double u[13]; | 
| 275 |  |  |  |  |  |  |  | 
| 276 |  |  |  |  |  |  | /* Transform conventional elements to universal elements */ | 
| 277 | 1 |  |  |  |  |  | palEl2ue( date, jform, epoch, orbinc, anode, perih, aorq, e, aorl, | 
| 278 |  |  |  |  |  |  | dm, u, jstat ); | 
| 279 |  |  |  |  |  |  |  | 
| 280 |  |  |  |  |  |  | /* If succcessful, make the prediction */ | 
| 281 | 1 | 50 |  |  |  |  | if (*jstat == 0) palPlantu( date, elong, phi, u, ra, dec, r, jstat ); | 
| 282 |  |  |  |  |  |  |  | 
| 283 | 1 |  |  |  |  |  | } | 
| 284 |  |  |  |  |  |  |  | 
| 285 |  |  |  |  |  |  |  | 
| 286 |  |  |  |  |  |  |  |