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#include "erfa.h" |
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void eraC2t00a(double tta, double ttb, double uta, double utb, |
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double xp, double yp, double rc2t[3][3]) |
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/* |
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** - - - - - - - - - - |
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** e r a C 2 t 0 0 a |
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** - - - - - - - - - - |
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** |
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** Form the celestial to terrestrial matrix given the date, the UT1 and |
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** the polar motion, using the IAU 2000A nutation model. |
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** |
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** Given: |
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** tta,ttb double TT as a 2-part Julian Date (Note 1) |
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** uta,utb double UT1 as a 2-part Julian Date (Note 1) |
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** xp,yp double coordinates of the pole (radians, Note 2) |
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** |
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** Returned: |
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** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3) |
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** |
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** Notes: |
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** |
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** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates, |
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** apportioned in any convenient way between the arguments uta and |
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** utb. For example, JD(UT1)=2450123.7 could be expressed in any of |
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** these ways, among others: |
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** |
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** uta utb |
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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 is |
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** acceptable. The J2000 and MJD methods are good compromises |
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** between resolution and convenience. In the case of uta,utb, the |
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** date & time method is best matched to the Earth rotation angle |
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** algorithm used: maximum precision is delivered when the uta |
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** argument is for 0hrs UT1 on the day in question and the utb |
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** argument lies in the range 0 to 1, or vice versa. |
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** |
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** 2) The arguments xp and yp are the coordinates (in radians) of the |
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** Celestial Intermediate Pole with respect to the International |
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** Terrestrial Reference System (see IERS Conventions 2003), |
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** measured along the meridians to 0 and 90 deg west respectively. |
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** |
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** 3) The matrix rc2t transforms from celestial to terrestrial |
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** coordinates: |
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** |
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** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS] |
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** |
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** = rc2t * [CRS] |
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** |
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** where [CRS] is a vector in the Geocentric Celestial Reference |
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** System and [TRS] is a vector in the International Terrestrial |
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** Reference System (see IERS Conventions 2003), RC2I is the |
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** celestial-to-intermediate matrix, ERA is the Earth rotation |
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** angle and RPOM is the polar motion matrix. |
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** |
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** 4) A faster, but slightly less accurate result (about 1 mas), can |
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** be obtained by using instead the eraC2t00b function. |
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** |
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** Called: |
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** eraC2i00a celestial-to-intermediate matrix, IAU 2000A |
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** eraEra00 Earth rotation angle, IAU 2000 |
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** eraSp00 the TIO locator s', IERS 2000 |
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** eraPom00 polar motion matrix |
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** eraC2tcio form CIO-based celestial-to-terrestrial matrix |
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** |
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** Reference: |
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** |
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** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), |
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** IERS Technical Note No. 32, BKG (2004) |
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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 rc2i[3][3], era, sp, rpom[3][3]; |
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/* Form the celestial-to-intermediate matrix for this TT (IAU 2000A). */ |
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eraC2i00a(tta, ttb, rc2i ); |
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/* Predict the Earth rotation angle for this UT1. */ |
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era = eraEra00(uta, utb); |
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/* Estimate s'. */ |
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sp = eraSp00(tta, ttb); |
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/* Form the polar motion matrix. */ |
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eraPom00(xp, yp, sp, rpom); |
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/* Combine to form the celestial-to-terrestrial matrix. */ |
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eraC2tcio(rc2i, era, rpom, rc2t); |
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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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*/ |