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SUBROUTINE slPM (R0, D0, PR, PD, PX, RV, EP0, EP1, R1, D1)
*+
* - - -
* P M
* - - -
*
* Apply corrections for proper motion to a star RA,Dec
* (double precision)
*
* References:
* 1984 Astronomical Almanac, pp B39-B41.
* (also Lederle & Schwan, Astron. Astrophys. 134,
* 1-6, 1984)
*
* Given:
* R0,D0 dp RA,Dec at epoch EP0 (rad)
* PR,PD dp proper motions: RA,Dec changes per year of epoch
* PX dp parallax (arcsec)
* RV dp radial velocity (km/sec, +ve if receding)
* EP0 dp start epoch in years (e.g. Julian epoch)
* EP1 dp end epoch in years (same system as EP0)
*
* Returned:
* R1,D1 dp RA,Dec at epoch EP1 (rad)
*
* Called:
* slDS2C spherical to Cartesian
* slDC2S Cartesian to spherical
* slDA2P normalize angle 0-2Pi
*
* Notes:
*
* 1 The proper motions in RA are dRA/dt rather than cos(Dec)*dRA/dt,
* and are in the same coordinate system as R0,D0.
*
* 2 If the available proper motions are pre-FK5 they will be per
* tropical year rather than per Julian year, and so the epochs
* must both be Besselian rather than Julian. In such cases, a
* scaling factor of 365.2422D0/365.25D0 should be applied to the
* radial velocity before use.
*
* P.T.Wallace Starlink 19 January 2000
*
* Copyright (C) 2000 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 R0,D0,PR,PD,PX,RV,EP0,EP1,R1,D1
* Km/s to AU/year multiplied by arcseconds to radians
DOUBLE PRECISION VFR
PARAMETER (VFR=(365.25D0*86400D0/149597870D0)*4.8481368111D-6)
INTEGER I
DOUBLE PRECISION slDA2P
DOUBLE PRECISION W,EM(3),T,P(3)
* Spherical to Cartesian
CALL slDS2C(R0,D0,P)
* Space motion (radians per year)
W=VFR*RV*PX
EM(1)=-PR*P(2)-PD*COS(R0)*SIN(D0)+W*P(1)
EM(2)= PR*P(1)-PD*SIN(R0)*SIN(D0)+W*P(2)
EM(3)= PD*COS(D0) +W*P(3)
* Apply the motion
T=EP1-EP0
DO I=1,3
P(I)=P(I)+T*EM(I)
END DO
* Cartesian to spherical
CALL slDC2S(P,R1,D1)
R1=slDA2P(R1)
END
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