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authorWilliam Joye <wjoye@cfa.harvard.edu>2016-11-02 19:11:06 (GMT)
committerWilliam Joye <wjoye@cfa.harvard.edu>2016-11-02 19:11:06 (GMT)
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-#include "erfa.h"
-
-void eraPn06(double date1, double date2, double dpsi, double deps,
- double *epsa,
- double rb[3][3], double rp[3][3], double rbp[3][3],
- double rn[3][3], double rbpn[3][3])
-/*
-** - - - - - - - -
-** e r a P n 0 6
-** - - - - - - - -
-**
-** Precession-nutation, IAU 2006 model: a multi-purpose function,
-** supporting classical (equinox-based) use directly and CIO-based use
-** indirectly.
-**
-** Given:
-** date1,date2 double TT as a 2-part Julian Date (Note 1)
-** dpsi,deps double nutation (Note 2)
-**
-** Returned:
-** epsa double mean obliquity (Note 3)
-** rb double[3][3] frame bias matrix (Note 4)
-** rp double[3][3] precession matrix (Note 5)
-** rbp double[3][3] bias-precession matrix (Note 6)
-** rn double[3][3] nutation matrix (Note 7)
-** rbpn double[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
-**
-** 2450123.7 0.0 (JD method)
-** 2451545.0 -1421.3 (J2000 method)
-** 2400000.5 50123.2 (MJD method)
-** 2450123.5 0.2 (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 J2000.0 mean
-** equator and equinox by applying frame bias.
-**
-** 5) The matrix rp transforms vectors from J2000.0 mean equator and
-** equinox to mean equator and equinox of date by applying
-** precession.
-**
-** 6) The matrix rbp transforms vectors from GCRS to mean equator and
-** equinox of date by applying frame bias then precession. It is
-** the product rp x rb.
-**
-** 7) The matrix rn transforms vectors from mean equator and equinox
-** of date to true equator and equinox of date by applying the
-** nutation (luni-solar + planetary).
-**
-** 8) The matrix rbpn transforms vectors from GCRS to true equator and
-** equinox of date. It is the product rn x rbp, applying frame
-** bias, precession and nutation in that order.
-**
-** 9) The X,Y,Z coordinates of the Celestial Intermediate Pole are
-** elements (3,1-3) of the GCRS-to-true matrix, i.e. rbpn[2][0-2].
-**
-** 10) It is permissible to re-use the same array in the returned
-** arguments. The arrays are filled in the stated order.
-**
-** Called:
-** eraPfw06 bias-precession F-W angles, IAU 2006
-** eraFw2m F-W angles to r-matrix
-** eraCr copy r-matrix
-** eraTr transpose r-matrix
-** eraRxr 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
-**
-** Copyright (C) 2013-2014, NumFOCUS Foundation.
-** Derived, with permission, from the SOFA library. See notes at end of file.
-*/
-{
- double gamb, phib, psib, eps, r1[3][3], r2[3][3], rt[3][3];
-
-
-/* Bias-precession Fukushima-Williams angles of J2000.0 = frame bias. */
- eraPfw06(ERFA_DJM0, ERFA_DJM00, &gamb, &phib, &psib, &eps);
-
-/* B matrix. */
- eraFw2m(gamb, phib, psib, eps, r1);
- eraCr(r1, rb);
-
-/* Bias-precession Fukushima-Williams angles of date. */
- eraPfw06(date1, date2, &gamb, &phib, &psib, &eps);
-
-/* Bias-precession matrix. */
- eraFw2m(gamb, phib, psib, eps, r2);
- eraCr(r2, rbp);
-
-/* Solve for precession matrix. */
- eraTr(r1, rt);
- eraRxr(r2, rt, rp);
-
-/* Equinox-based bias-precession-nutation matrix. */
- eraFw2m(gamb, phib, psib + dpsi, eps + deps, r1);
- eraCr(r1, rbpn);
-
-/* Solve for nutation matrix. */
- eraTr(r2, rt);
- eraRxr(r1, rt, rn);
-
-/* Obliquity, mean of date. */
- *epsa = eps;
-
- return;
-
-}
-/*----------------------------------------------------------------------
-**
-**
-** Copyright (C) 2013-2014, NumFOCUS Foundation.
-** All rights reserved.
-**
-** This library is derived, with permission, from the International
-** Astronomical Union's "Standards of Fundamental Astronomy" library,
-** available from http://www.iausofa.org.
-**
-** The ERFA version is intended to retain identical functionality to
-** the SOFA library, but made distinct through different function and
-** file names, as set out in the SOFA license conditions. The SOFA
-** original has a role as a reference standard for the IAU and IERS,
-** and consequently redistribution is permitted only in its unaltered
-** state. The ERFA version is not subject to this restriction and
-** therefore can be included in distributions which do not support the
-** concept of "read only" software.
-**
-** Although the intent is to replicate the SOFA API (other than
-** replacement of prefix names) and results (with the exception of
-** bugs; any that are discovered will be fixed), SOFA is not
-** responsible for any errors found in this version of the library.
-**
-** If you wish to acknowledge the SOFA heritage, please acknowledge
-** that you are using a library derived from SOFA, rather than SOFA
-** itself.
-**
-**
-** TERMS AND CONDITIONS
-**
-** Redistribution and use in source and binary forms, with or without
-** modification, are permitted provided that the following conditions
-** are met:
-**
-** 1 Redistributions of source code must retain the above copyright
-** notice, this list of conditions and the following disclaimer.
-**
-** 2 Redistributions in binary form must reproduce the above copyright
-** notice, this list of conditions and the following disclaimer in
-** the documentation and/or other materials provided with the
-** distribution.
-**
-** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
-** the International Astronomical Union nor the names of its
-** contributors may be used to endorse or promote products derived
-** from this software without specific prior written permission.
-**
-** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-** POSSIBILITY OF SUCH DAMAGE.
-**
-*/