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Diffstat (limited to 'math/slalib/prec.f')
-rw-r--r-- | math/slalib/prec.f | 97 |
1 files changed, 97 insertions, 0 deletions
diff --git a/math/slalib/prec.f b/math/slalib/prec.f new file mode 100644 index 00000000..e8eadce7 --- /dev/null +++ b/math/slalib/prec.f @@ -0,0 +1,97 @@ + SUBROUTINE slPREC (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 slPREL 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: slDEUL +* +* 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., 51 Franklin Street, Fifth Floor, +* Boston, MA 02110-1301 USA +* +* Copyright (C) 1995 Association of Universities for Research in Astronomy Inc. +*- + + 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 slDEUL('ZYZ',-ZETA,THETA,-Z,RMATP) + + END |