SUBROUTINE iau_PN06 ( DATE1, DATE2, DPSI, DEPS, : EPSA, RB, RP, RBP, RN, RBPN ) *+ * - - - - - - - - - * i a u _ P N 0 6 * - - - - - - - - - * * Precession-nutation, IAU 2006 model: a multi-purpose routine, * supporting classical (equinox-based) use directly and CIO-based use * indirectly. * * This routine is part of the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * * Status: support routine. * * Given: * DATE1,DATE2 d TT as a 2-part Julian Date (Note 1) * DPSI,DEPS d nutation (Note 2) * * Returned: * EPSA d mean obliquity (Note 3) * RB d(3,3) frame bias matrix (Note 4) * RP d(3,3) precession matrix (Note 5) * RBP d(3,3) bias-precession matrix (Note 6) * RN d(3,3) nutation matrix (Note 7) * RBPN d(3,3) GCRS-to-true matrix (Note 8) * * Notes: * * 1) The TT date DATE1+DATE2 is a Julian Date, apportioned in any * convenient way between the two arguments. For example, * JD(TT)=2450123.7 could be expressed in any of these ways, * among others: * * DATE1 DATE2 * * 2450123.7D0 0D0 (JD method) * 2451545D0 -1421.3D0 (J2000 method) * 2400000.5D0 50123.2D0 (MJD method) * 2450123.5D0 0.2D0 (date & time method) * * The JD method is the most natural and convenient to use in * cases where the loss of several decimal digits of resolution * is acceptable. The J2000 method is best matched to the way * the argument is handled internally and will deliver the * optimum resolution. The MJD method and the date & time methods * are both good compromises between resolution and convenience. * * 2) The caller is responsible for providing the nutation components; * they are in longitude and obliquity, in radians and are with * respect to the equinox and ecliptic of date. For high-accuracy * applications, free core nutation should be included as well as * any other relevant corrections to the position of the CIP. * * 3) The returned mean obliquity is consistent with the IAU 2006 * precession. * * 4) The matrix RB transforms vectors from GCRS to mean J2000 by * applying frame bias. * * 5) The matrix RP transforms vectors from mean J2000 to mean of date * by applying precession. * * 6) The matrix RBP transforms vectors from GCRS to mean of date by * applying frame bias then precession. It is the product RP x RB. * * 7) The matrix RN transforms vectors from mean of date to true of date * by applying the nutation (luni-solar + planetary). * * 8) The matrix RBPN transforms vectors from GCRS to true of date * (CIP/equinox). It is the product RN x RBP, applying frame bias, * precession and nutation in that order. * * 9) The X,Y,Z coordinates of the IAU 2006/2000A Celestial Intermediate * Pole are elements (3,1-3) of the matrix RBPN. * * Called: * iau_PFW06 bias-precession F-W angles, IAU 2006 * iau_FW2M F-W angles to r-matrix * iau_TR transpose r-matrix * iau_RXR product of two r-matrices * * References: * * Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * * Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * * This revision: 2008 May 24 * * Copyright (C) 2008 IAU SOFA Review Board. See notes at end. * *----------------------------------------------------------------------- IMPLICIT NONE DOUBLE PRECISION DATE1, DATE2, DPSI, DEPS, : EPSA, RB(3,3), RP(3,3), RBP(3,3), : RN(3,3), RBPN(3,3) * JD for MJD 0 DOUBLE PRECISION DJM0 PARAMETER (DJM0 = 2400000.5D0 ) * Reference epoch (J2000), MJD DOUBLE PRECISION DJM00 PARAMETER ( DJM00 = 51544.5D0 ) DOUBLE PRECISION GAMB, PHIB, PSIB, EPS, RT(3,3) * - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - * Bias-precession Fukushima-Williams angles of J2000 = frame bias. CALL iau_PFW06 ( DJM0, DJM00, GAMB, PHIB, PSIB, EPS ) * B matrix. CALL iau_FW2M ( GAMB, PHIB, PSIB, EPS, RB ) * Bias-precession Fukushima-Williams angles of date. CALL iau_PFW06 ( DATE1, DATE2, GAMB, PHIB, PSIB, EPS ) * Bias-precession matrix. CALL iau_FW2M ( GAMB, PHIB, PSIB, EPS, RBP ) * Solve for precession matrix. CALL iau_TR ( RB, RT ) CALL iau_RXR ( RBP, RT, RP ) * Equinox-based bias-precession-nutation matrix. CALL iau_FW2M ( GAMB, PHIB, PSIB+DPSI, EPS+DEPS, RBPN ) * Solve for nutation matrix. CALL iau_TR ( RBP, RT ) CALL iau_RXR ( RBPN, RT, RN ) * Obliquity, mean of date. EPSA = EPS * Finished. *+----------------------------------------------------------------------- * * Copyright (C) 2008 * Standards Of Fundamental Astronomy Review Board * of the International Astronomical Union. * * ===================== * SOFA Software License * ===================== * * NOTICE TO USER: * * BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING TERMS AND CONDITIONS * WHICH APPLY TO ITS USE. * * 1. The Software is owned by the IAU SOFA Review Board ("the Board"). * * 2. Permission is granted to anyone to use the SOFA software for any * purpose, including commercial applications, free of charge and * without payment of royalties, subject to the conditions and * restrictions listed below. * * 3. You (the user) may copy and adapt the SOFA software and its * algorithms for your own purposes and you may copy and distribute * a resulting "derived work" to others on a world-wide, royalty-free * basis, provided that the derived work complies with the following * requirements: * * a) Your work shall be marked or carry a statement that it (i) uses * routines and computations derived by you from software provided * by SOFA under license to you; and (ii) does not contain * software provided by SOFA or software that has been distributed * by or endorsed by SOFA. * * b) The source code of your derived work must contain descriptions * of how the derived work is based upon and/or differs from the * original SOFA software. * * c) The name(s) of all routine(s) that you distribute shall differ * from the SOFA names, even when the SOFA content has not been * otherwise changed. * * d) The routine-naming prefix "iau" shall not be used. * * e) The origin of the SOFA components of your derived work must not * be misrepresented; you must not claim that you wrote the * original software, nor file a patent application for SOFA * software or algorithms embedded in the SOFA software. * * f) These requirements must be reproduced intact in any source * distribution and shall apply to anyone to whom you have granted * a further right to modify the source code of your derived work. * * 4. In any published work or commercial products which includes * results achieved by using the SOFA software, you shall acknowledge * that the SOFA software was used in obtaining those results. * * 5. You shall not cause the SOFA software to be brought into * disrepute, either by misuse, or use for inappropriate tasks, or by * inappropriate modification. * * 6. The SOFA software is provided "as is" and the Board makes no * warranty as to its use or performance. The Board does not and * cannot warrant the performance or results which the user may obtain * by using the SOFA software. The Board makes no warranties, express * or implied, as to non-infringement of third party rights, * merchantability, or fitness for any particular purpose. In no * event will the Board be liable to the user for any consequential, * incidental, or special damages, including any lost profits or lost * savings, even if a Board representative has been advised of such * damages, or for any claim by any third party. * * 7. The provision of any version of the SOFA software under the terms * and conditions specified herein does not imply that future * versions will also be made available under the same terms and * conditions. * * Correspondence concerning SOFA software should be addressed as * follows: * * Internet email: sofa@rl.ac.uk * Postal address: IAU SOFA Center * Rutherford Appleton Laboratory * Chilton, Didcot, Oxon OX11 0QX * United Kingdom * *----------------------------------------------------------------------- END