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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

  Note:
     The proper motions in RA are dRA/dt rather than
     cos(Dec)*dRA/dt, and are in the same coordinate
     system as R0,D0.

  P.T.Wallace   Starlink   23 August 1996

  Copyright (C) 1996 Rutherford Appleton Laboratory
  Copyright (C) 1995 Association of Universities for Research in Astronomy Inc.

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