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slalib/prec.f

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+      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