SUBROUTINE sla_PREC (EP0, EP1, RMATP) *+ * - - - - - * P R E C * - - - - - * * Form the matrix of precession between two epochs (IAU 1976, FK5) * (double precision) * * Given: * EP0 dp beginning epoch * EP1 dp ending epoch * * Returned: * RMATP dp(3,3) precession matrix * * Notes: * * 1) The epochs are TDB (loosely ET) Julian epochs. * * 2) The matrix is in the sense V(EP1) = RMATP * V(EP0) * * 3) Though the matrix method itself is rigorous, the precession * angles are expressed through canonical polynomials which are * valid only for a limited time span. There are also known * errors in the IAU precession rate. The absolute accuracy * of the present formulation is better than 0.1 arcsec from * 1960AD to 2040AD, better than 1 arcsec from 1640AD to 2360AD, * and remains below 3 arcsec for the whole of the period * 500BC to 3000AD. The errors exceed 10 arcsec outside the * range 1200BC to 3900AD, exceed 100 arcsec outside 4200BC to * 5600AD and exceed 1000 arcsec outside 6800BC to 8200AD. * The SLALIB routine sla_PRECL implements a more elaborate * model which is suitable for problems spanning several * thousand years. * * References: * Lieske,J.H., 1979. Astron.Astrophys.,73,282. * equations (6) & (7), p283. * Kaplan,G.H., 1981. USNO circular no. 163, pA2. * * Called: sla_DEULER * * P.T.Wallace Starlink 23 August 1996 * * Copyright (C) 1996 Rutherford Appleton Laboratory * * License: * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 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 General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program (see SLA_CONDITIONS); if not, write to the * Free Software Foundation, Inc., 59 Temple Place, Suite 330, * Boston, MA 02111-1307 USA * *- IMPLICIT NONE DOUBLE PRECISION EP0,EP1,RMATP(3,3) * Arc seconds to radians DOUBLE PRECISION AS2R PARAMETER (AS2R=0.484813681109535994D-5) DOUBLE PRECISION T0,T,TAS2R,W,ZETA,Z,THETA * Interval between basic epoch J2000.0 and beginning epoch (JC) T0 = (EP0-2000D0)/100D0 * Interval over which precession required (JC) T = (EP1-EP0)/100D0 * Euler angles TAS2R = T*AS2R W = 2306.2181D0+(1.39656D0-0.000139D0*T0)*T0 ZETA = (W+((0.30188D0-0.000344D0*T0)+0.017998D0*T)*T)*TAS2R Z = (W+((1.09468D0+0.000066D0*T0)+0.018203D0*T)*T)*TAS2R THETA = ((2004.3109D0+(-0.85330D0-0.000217D0*T0)*T0) : +((-0.42665D0-0.000217D0*T0)-0.041833D0*T)*T)*TAS2R * Rotation matrix CALL sla_DEULER('ZYZ',-ZETA,THETA,-Z,RMATP) END