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#include "erfa.h" |
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void eraPr00(double date1, double date2, double *dpsipr, double *depspr) |
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/* |
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** - - - - - - - - |
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** e r a P r 0 0 |
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** - - - - - - - - |
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** |
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** Precession-rate part of the IAU 2000 precession-nutation models |
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** (part of MHB2000). |
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** |
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** Given: |
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** date1,date2 double TT as a 2-part Julian Date (Note 1) |
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** |
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** Returned: |
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** dpsipr,depspr double precession corrections (Notes 2,3) |
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** |
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** Notes: |
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** |
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** 1) The TT date date1+date2 is a Julian Date, apportioned in any |
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** convenient way between the two arguments. For example, |
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** JD(TT)=2450123.7 could be expressed in any of these ways, |
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** among others: |
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** |
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** date1 date2 |
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** |
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** 2450123.7 0.0 (JD method) |
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** 2451545.0 -1421.3 (J2000 method) |
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** 2400000.5 50123.2 (MJD method) |
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** 2450123.5 0.2 (date & time method) |
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** |
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** The JD method is the most natural and convenient to use in |
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** cases where the loss of several decimal digits of resolution |
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** is acceptable. The J2000 method is best matched to the way |
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** the argument is handled internally and will deliver the |
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** optimum resolution. The MJD method and the date & time methods |
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** are both good compromises between resolution and convenience. |
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** |
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** 2) The precession adjustments are expressed as "nutation |
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** components", corrections in longitude and obliquity with respect |
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** to the J2000.0 equinox and ecliptic. |
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** |
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** 3) Although the precession adjustments are stated to be with respect |
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** to Lieske et al. (1977), the MHB2000 model does not specify which |
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** set of Euler angles are to be used and how the adjustments are to |
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** be applied. The most literal and straightforward procedure is to |
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** adopt the 4-rotation epsilon_0, psi_A, omega_A, xi_A option, and |
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** to add dpsipr to psi_A and depspr to both omega_A and eps_A. |
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** |
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** 4) This is an implementation of one aspect of the IAU 2000A nutation |
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** model, formally adopted by the IAU General Assembly in 2000, |
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** namely MHB2000 (Mathews et al. 2002). |
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** |
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** References: |
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** |
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** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B., "Expressions |
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** for the precession quantities based upon the IAU (1976) System of |
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** Astronomical Constants", Astron.Astrophys., 58, 1-16 (1977) |
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** |
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** Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation |
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** and precession New nutation series for nonrigid Earth and |
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** insights into the Earth's interior", J.Geophys.Res., 107, B4, |
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** 2002. The MHB2000 code itself was obtained on 9th September 2002 |
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** from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A. |
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** |
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** Wallace, P.T., "Software for Implementing the IAU 2000 |
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** Resolutions", in IERS Workshop 5.1 (2002). |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** Derived, with permission, from the SOFA library. See notes at end of file. |
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*/ |
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{ |
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double t; |
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/* Precession and obliquity corrections (radians per century) */ |
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static const double PRECOR = -0.29965 * ERFA_DAS2R, |
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OBLCOR = -0.02524 * ERFA_DAS2R; |
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/* Interval between fundamental epoch J2000.0 and given date (JC). */ |
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t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; |
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/* Precession rate contributions with respect to IAU 1976/80. */ |
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*dpsipr = PRECOR * t; |
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*depspr = OBLCOR * t; |
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return; |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |