/* *+ * Name: * palMappa * Purpose: * Compute parameters needed by palAmpqk and palMapqk. * Language: * Starlink ANSI C * Type of Module: * Library routine * Invocation: * void palMappa( double eq, double date, double amprms[21] ) * Arguments: * eq = double (Given) * epoch of mean equinox to be used (Julian) * date = double (Given) * TDB (JD-2400000.5) * amprms = double[21] (Returned) * star-independent mean-to-apparent parameters: * - (0) time interval for proper motion (Julian years) * - (1-3) barycentric position of the Earth (AU) * - (4-6) heliocentric direction of the Earth (unit vector) * - (7) (Schwarzschild radius of Sun)/(Sun-Earth distance) * - (8-10) abv: barycentric Earth velocity in units of c * - (11) sqrt(1-v^2) where v=modulus(abv) * - (12-20) precession/nutation (3,3) matrix * Description: * Compute star-independent parameters in preparation for * transformations between mean place and geocentric apparent place. * * The parameters produced by this function are required in the * parallax, aberration, and nutation/bias/precession parts of the * mean/apparent transformations. * * The reference systems and timescales used are IAU 2006. * Notes: * - For date, the distinction between the required TDB and TT * is always negligible. Moreover, for all but the most * critical applications UTC is adequate. * - The vector amprms(1-3) is referred to the mean equinox and * equator of epoch eq. * - The parameters amprms produced by this function are used by * palAmpqk, palMapqk and palMapqkz. * Authors: * PTW: Pat Wallace (STFC) * {enter_new_authors_here} * History: * 2012-02-13 (PTW): * Initial version. * Adapted with permission from the Fortran SLALIB library. * {enter_further_changes_here} * Copyright: * Copyright (C) 2003 Rutherford Appleton Laboratory * Copyright (C) 2012 Science and Technology Facilities Council. * All Rights Reserved. * Licence: * This program is free software: you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation, either * version 3 of the License, or (at your option) any later * version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General * License along with this program. If not, see * . * Bugs: * {note_any_bugs_here} *- */ #include "pal.h" #include "palmac.h" #include "pal1sofa.h" #include void palMappa( double eq, double date, double amprms[21] ){ /* Local constants */ /* Gravitational radius of the Sun x 2 (2*mu/c**2, AU) */ const double GR2 = 2.0 * 9.87063e-9; /* Local Variables; */ int i; double ebd[ 3 ], ehd[ 3 ], eh[ 3 ], e, vn[ 3 ], vm; /* Initialise so that unsused values are returned holding zero */ memset( amprms, 0, 21*sizeof( *amprms ) ); /* Time interval for proper motion correction. */ amprms[ 0 ] = eraEpj( PAL__MJD0, date ) - eq; /* Get Earth barycentric and heliocentric position and velocity. */ palEvp( date, eq, ebd, &rms[ 1 ], ehd, eh ); /* Heliocentric direction of Earth (normalized) and modulus. */ eraPn( eh, &e, &rms[ 4 ] ); /* Light deflection parameter */ amprms[7] = GR2 / e; /* Aberration parameters. */ for( i = 0; i < 3; i++ ) { amprms[ i + 8 ] = ebd[ i ]*PAL__CR; } eraPn( &rms[8], &vm, vn ); amprms[ 11 ] = sqrt( 1.0 - vm*vm ); /* NPB matrix. */ palPrenut( eq, date, (double(*)[ 3 ]) &rms[ 12 ] ); }