#include "erfa.h" void eraPr00(double date1, double date2, double *dpsipr, double *depspr) /* ** - - - - - - - - ** e r a P r 0 0 ** - - - - - - - - ** ** Precession-rate part of the IAU 2000 precession-nutation models ** (part of MHB2000). ** ** Given: ** date1,date2 double TT as a 2-part Julian Date (Note 1) ** ** Returned: ** dpsipr,depspr double precession corrections (Notes 2,3) ** ** 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 precession adjustments are expressed as "nutation ** components", corrections in longitude and obliquity with respect ** to the J2000.0 equinox and ecliptic. ** ** 3) Although the precession adjustments are stated to be with respect ** to Lieske et al. (1977), the MHB2000 model does not specify which ** set of Euler angles are to be used and how the adjustments are to ** be applied. The most literal and straightforward procedure is to ** adopt the 4-rotation epsilon_0, psi_A, omega_A, xi_A option, and ** to add dpsipr to psi_A and depspr to both omega_A and eps_A. ** ** 4) This is an implementation of one aspect of the IAU 2000A nutation ** model, formally adopted by the IAU General Assembly in 2000, ** namely MHB2000 (Mathews et al. 2002). ** ** References: ** ** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B., "Expressions ** for the precession quantities based upon the IAU (1976) System of ** Astronomical Constants", Astron.Astrophys., 58, 1-16 (1977) ** ** Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation ** and precession New nutation series for nonrigid Earth and ** insights into the Earth's interior", J.Geophys.Res., 107, B4, ** 2002. The MHB2000 code itself was obtained on 9th September 2002 ** from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A. ** ** Wallace, P.T., "Software for Implementing the IAU 2000 ** Resolutions", in IERS Workshop 5.1 (2002). ** ** Copyright (C) 2013-2015, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { double t; /* Precession and obliquity corrections (radians per century) */ static const double PRECOR = -0.29965 * ERFA_DAS2R, OBLCOR = -0.02524 * ERFA_DAS2R; /* Interval between fundamental epoch J2000.0 and given date (JC). */ t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; /* Precession rate contributions with respect to IAU 1976/80. */ *dpsipr = PRECOR * t; *depspr = OBLCOR * t; return; } /*---------------------------------------------------------------------- ** ** ** Copyright (C) 2013-2015, 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. ** */