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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 eraBp00(double date1, double date2,
- double rb[3][3], double rp[3][3], double rbp[3][3])
-/*
-** - - - - - - - -
-** e r a B p 0 0
-** - - - - - - - -
-**
-** Frame bias and precession, IAU 2000.
-**
-** Given:
-** date1,date2 double TT as a 2-part Julian Date (Note 1)
-**
-** Returned:
-** rb double[3][3] frame bias matrix (Note 2)
-** rp double[3][3] precession matrix (Note 3)
-** rbp double[3][3] bias-precession matrix (Note 4)
-**
-** 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 matrix rb transforms vectors from GCRS to mean J2000.0 by
-** applying frame bias.
-**
-** 3) The matrix rp transforms vectors from J2000.0 mean equator and
-** equinox to mean equator and equinox of date by applying
-** precession.
-**
-** 4) 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.
-**
-** 5) It is permissible to re-use the same array in the returned
-** arguments. The arrays are filled in the order given.
-**
-** Called:
-** eraBi00 frame bias components, IAU 2000
-** eraPr00 IAU 2000 precession adjustments
-** eraIr initialize r-matrix to identity
-** eraRx rotate around X-axis
-** eraRy rotate around Y-axis
-** eraRz rotate around Z-axis
-** eraCr copy r-matrix
-** eraRxr product of two r-matrices
-**
-** Reference:
-** "Expressions for the Celestial Intermediate Pole and Celestial
-** Ephemeris Origin consistent with the IAU 2000A precession-
-** nutation model", Astron.Astrophys. 400, 1145-1154 (2003)
-**
-** n.b. The celestial ephemeris origin (CEO) was renamed "celestial
-** intermediate origin" (CIO) by IAU 2006 Resolution 2.
-**
-** Copyright (C) 2013-2014, NumFOCUS Foundation.
-** Derived, with permission, from the SOFA library. See notes at end of file.
-*/
-{
-/* J2000.0 obliquity (Lieske et al. 1977) */
- const double EPS0 = 84381.448 * ERFA_DAS2R;
-
- double t, dpsibi, depsbi, dra0, psia77, oma77, chia,
- dpsipr, depspr, psia, oma, rbw[3][3];
-
-
-/* Interval between fundamental epoch J2000.0 and current date (JC). */
- t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
-
-/* Frame bias. */
- eraBi00(&dpsibi, &depsbi, &dra0);
-
-/* Precession angles (Lieske et al. 1977) */
- psia77 = (5038.7784 + (-1.07259 + (-0.001147) * t) * t) * t * ERFA_DAS2R;
- oma77 = EPS0 + ((0.05127 + (-0.007726) * t) * t) * t * ERFA_DAS2R;
- chia = ( 10.5526 + (-2.38064 + (-0.001125) * t) * t) * t * ERFA_DAS2R;
-
-/* Apply IAU 2000 precession corrections. */
- eraPr00(date1, date2, &dpsipr, &depspr);
- psia = psia77 + dpsipr;
- oma = oma77 + depspr;
-
-/* Frame bias matrix: GCRS to J2000.0. */
- eraIr(rbw);
- eraRz(dra0, rbw);
- eraRy(dpsibi*sin(EPS0), rbw);
- eraRx(-depsbi, rbw);
- eraCr(rbw, rb);
-
-/* Precession matrix: J2000.0 to mean of date. */
- eraIr(rp);
- eraRx(EPS0, rp);
- eraRz(-psia, rp);
- eraRx(-oma, rp);
- eraRz(chia, rp);
-
-/* Bias-precession matrix: GCRS to mean of date. */
- eraRxr(rp, rbw, rbp);
-
- 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.
-**
-*/