SUBROUTINE sla_HFK5Z (RH,DH,EPOCH,R5,D5,DR5,DD5) *+ * - - - - - - * H F K 5 Z * - - - - - - * * Transform a Hipparcos star position into FK5 J2000, assuming * zero Hipparcos proper motion. * * (double precision) * * Given: * RH d Hipparcos RA (radians) * DH d Hipparcos Dec (radians) * EPOCH d Julian epoch (TDB) * * Returned (all FK5, equinox J2000, epoch EPOCH): * R5 d RA (radians) * D5 d Dec (radians) * * Called: sla_DCS2C, sla_DAV2M, sla_DMXV, sla_DAV2M, sla_DMXM, * sla_DIMXV, sla_DVXV, sla_DC62S, sla_DRANRM * * Notes: * * 1) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. * * 2) The FK5 to Hipparcos transformation consists of a pure * rotation and spin; zonal errors in the FK5 catalogue are * not taken into account. * * 3) The published orientation and spin components are interpreted * as "axial vectors". An axial vector points at the pole of the * rotation and its length is the amount of rotation in radians. * * 4) It was the intention that Hipparcos should be a close * approximation to an inertial frame, so that distant objects * have zero proper motion; such objects have (in general) * non-zero proper motion in FK5, and this routine returns those * fictitious proper motions. * * 5) The position returned by this routine is in the FK5 J2000 * reference frame but at Julian epoch EPOCH. * * 6) See also sla_FK52H, sla_H2FK5, sla_FK5ZHZ. * * Reference: * * M.Feissel & F.Mignard, Astron. Astrophys. 331, L33-L36 (1998). * * P.T.Wallace Starlink 22 June 1999 * * Copyright (C) 1999 Rutherford Appleton Laboratory *- IMPLICIT NONE DOUBLE PRECISION RH,DH,EPOCH,R5,D5,DR5,DD5 DOUBLE PRECISION AS2R PARAMETER (AS2R=0.484813681109535994D-5) * FK5 to Hipparcos orientation and spin (radians, radians/year) DOUBLE PRECISION EPX,EPY,EPZ DOUBLE PRECISION OMX,OMY,OMZ PARAMETER ( EPX = -19.9D-3 * AS2R, : EPY = -9.1D-3 * AS2R, : EPZ = +22.9D-3 * AS2R ) PARAMETER ( OMX = -0.30D-3 * AS2R, : OMY = +0.60D-3 * AS2R, : OMZ = +0.70D-3 * AS2R ) DOUBLE PRECISION PH(6),ORTN(3),R5H(3,3),S5(3),SH(3),T,VST(3), : RST(3,3),R5HT(3,3),PV5E(6),VV(3),W,R,V DOUBLE PRECISION sla_DRANRM * Hipparcos barycentric position vector (normalized). CALL sla_DCS2C(RH,DH,PH) * FK5 to Hipparcos orientation matrix. ORTN(1) = EPX ORTN(2) = EPY ORTN(3) = EPZ CALL sla_DAV2M(ORTN,R5H) * Hipparcos wrt FK5 spin vector. S5(1) = OMX S5(2) = OMY S5(3) = OMZ * Rotate the spin vector into the Hipparcos frame. CALL sla_DMXV(R5H,S5,SH) * Time interval from J2000 to epoch. T = EPOCH-2000D0 * Axial vector: accumulated Hipparcos wrt FK5 spin over that interval. VST(1) = OMX*T VST(2) = OMY*T VST(3) = OMZ*T * Express the accumulated spin as a rotation matrix. CALL sla_DAV2M(VST,RST) * Rotation matrix: accumulated spin, then FK5 to Hipparcos. CALL sla_DMXM(R5H,RST,R5HT) * De-orient & de-spin the vector into FK5 J2000 at epoch. CALL sla_DIMXV(R5HT,PH,PV5E) CALL sla_DVXV(SH,PH,VV) CALL sla_DIMXV(R5HT,VV,PV5E(4)) * FK5 position/velocity 6-vector to spherical. CALL sla_DC62S(PV5E,W,D5,R,DR5,DD5,V) R5 = sla_DRANRM(W) END