| 1 | #include "sofa.h"
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| 2 |
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| 3 | void iauC2t00b(double tta, double ttb, double uta, double utb,
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| 4 | double xp, double yp, double rc2t[3][3])
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| 5 | /*
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| 6 | ** - - - - - - - - - -
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| 7 | ** i a u C 2 t 0 0 b
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| 8 | ** - - - - - - - - - -
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| 9 | **
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| 10 | ** Form the celestial to terrestrial matrix given the date, the UT1 and
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| 11 | ** the polar motion, using the IAU 2000B nutation model.
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| 12 | **
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| 13 | ** This function is part of the International Astronomical Union's
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| 14 | ** SOFA (Standards Of Fundamental Astronomy) software collection.
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| 15 | **
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| 16 | ** Status: support function.
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| 17 | **
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| 18 | ** Given:
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| 19 | ** tta,ttb double TT as a 2-part Julian Date (Note 1)
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| 20 | ** uta,utb double UT1 as a 2-part Julian Date (Note 1)
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| 21 | ** xp,yp double coordinates of the pole (radians, Note 2)
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| 22 | **
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| 23 | ** Returned:
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| 24 | ** rc2t double[3][3] celestial-to-terrestrial matrix (Note 3)
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| 25 | **
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| 26 | ** Notes:
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| 27 | **
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| 28 | ** 1) The TT and UT1 dates tta+ttb and uta+utb are Julian Dates,
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| 29 | ** apportioned in any convenient way between the arguments uta and
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| 30 | ** utb. For example, JD(UT1)=2450123.7 could be expressed in any of
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| 31 | ** these ways, among others:
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| 32 | **
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| 33 | ** uta utb
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| 34 | **
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| 35 | ** 2450123.7 0.0 (JD method)
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| 36 | ** 2451545.0 -1421.3 (J2000 method)
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| 37 | ** 2400000.5 50123.2 (MJD method)
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| 38 | ** 2450123.5 0.2 (date & time method)
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| 39 | **
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| 40 | ** The JD method is the most natural and convenient to use in
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| 41 | ** cases where the loss of several decimal digits of resolution is
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| 42 | ** acceptable. The J2000 and MJD methods are good compromises
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| 43 | ** between resolution and convenience. In the case of uta,utb, the
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| 44 | ** date & time method is best matched to the Earth rotation angle
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| 45 | ** algorithm used: maximum precision is delivered when the uta
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| 46 | ** argument is for 0hrs UT1 on the day in question and the utb
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| 47 | ** argument lies in the range 0 to 1, or vice versa.
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| 48 | **
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| 49 | ** 2) The arguments xp and yp are the coordinates (in radians) of the
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| 50 | ** Celestial Intermediate Pole with respect to the International
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| 51 | ** Terrestrial Reference System (see IERS Conventions 2003),
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| 52 | ** measured along the meridians to 0 and 90 deg west respectively.
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| 53 | **
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| 54 | ** 3) The matrix rc2t transforms from celestial to terrestrial
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| 55 | ** coordinates:
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| 56 | **
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| 57 | ** [TRS] = RPOM * R_3(ERA) * RC2I * [CRS]
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| 58 | **
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| 59 | ** = rc2t * [CRS]
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| 60 | **
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| 61 | ** where [CRS] is a vector in the Geocentric Celestial Reference
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| 62 | ** System and [TRS] is a vector in the International Terrestrial
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| 63 | ** Reference System (see IERS Conventions 2003), RC2I is the
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| 64 | ** celestial-to-intermediate matrix, ERA is the Earth rotation
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| 65 | ** angle and RPOM is the polar motion matrix.
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| 66 | **
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| 67 | ** 4) The present function is faster, but slightly less accurate (about
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| 68 | ** 1 mas), than the iauC2t00a function.
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| 69 | **
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| 70 | ** Called:
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| 71 | ** iauC2i00b celestial-to-intermediate matrix, IAU 2000B
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| 72 | ** iauEra00 Earth rotation angle, IAU 2000
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| 73 | ** iauPom00 polar motion matrix
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| 74 | ** iauC2tcio form CIO-based celestial-to-terrestrial matrix
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| 75 | **
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| 76 | ** Reference:
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| 77 | **
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| 78 | ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
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| 79 | ** IERS Technical Note No. 32, BKG (2004)
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| 80 | **
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| 81 | ** This revision: 2013 June 18
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| 82 | **
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| 83 | ** SOFA release 2015-02-09
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| 84 | **
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| 85 | ** Copyright (C) 2015 IAU SOFA Board. See notes at end.
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| 86 | */
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| 87 | {
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| 88 | double rc2i[3][3], era, rpom[3][3];
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| 89 |
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| 90 | /* Form the celestial-to-intermediate matrix for this TT (IAU 2000B). */
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| 91 | iauC2i00b(tta, ttb, rc2i);
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| 92 |
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| 93 | /* Predict the Earth rotation angle for this UT1. */
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| 94 | era = iauEra00(uta, utb);
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| 95 |
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| 96 | /* Form the polar motion matrix (neglecting s'). */
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| 97 | iauPom00(xp, yp, 0.0, rpom);
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| 98 |
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| 99 | /* Combine to form the celestial-to-terrestrial matrix. */
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| 100 | iauC2tcio(rc2i, era, rpom, rc2t);
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| 101 |
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| 102 | return;
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| 103 |
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| 104 | /*----------------------------------------------------------------------
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| 105 | **
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| 106 | ** Copyright (C) 2015
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| 107 | ** Standards Of Fundamental Astronomy Board
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| 108 | ** of the International Astronomical Union.
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| 109 | **
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| 110 | ** =====================
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| 111 | ** SOFA Software License
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| 112 | ** =====================
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| 113 | **
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| 114 | ** NOTICE TO USER:
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| 115 | **
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| 116 | ** BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND
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| 117 | ** CONDITIONS WHICH APPLY TO ITS USE.
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| 118 | **
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| 119 | ** 1. The Software is owned by the IAU SOFA Board ("SOFA").
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| 120 | **
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| 121 | ** 2. Permission is granted to anyone to use the SOFA software for any
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| 122 | ** purpose, including commercial applications, free of charge and
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| 123 | ** without payment of royalties, subject to the conditions and
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| 124 | ** restrictions listed below.
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| 125 | **
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| 126 | ** 3. You (the user) may copy and distribute SOFA source code to others,
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| 127 | ** and use and adapt its code and algorithms in your own software,
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| 128 | ** on a world-wide, royalty-free basis. That portion of your
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| 129 | ** distribution that does not consist of intact and unchanged copies
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| 130 | ** of SOFA source code files is a "derived work" that must comply
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| 131 | ** with the following requirements:
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| 132 | **
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| 133 | ** a) Your work shall be marked or carry a statement that it
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| 134 | ** (i) uses routines and computations derived by you from
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| 135 | ** software provided by SOFA under license to you; and
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| 136 | ** (ii) does not itself constitute software provided by and/or
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| 137 | ** endorsed by SOFA.
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| 138 | **
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| 139 | ** b) The source code of your derived work must contain descriptions
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| 140 | ** of how the derived work is based upon, contains and/or differs
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| 141 | ** from the original SOFA software.
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| 142 | **
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| 143 | ** c) The names of all routines in your derived work shall not
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| 144 | ** include the prefix "iau" or "sofa" or trivial modifications
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| 145 | ** thereof such as changes of case.
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| 146 | **
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| 147 | ** d) The origin of the SOFA components of your derived work must
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| 148 | ** not be misrepresented; you must not claim that you wrote the
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| 149 | ** original software, nor file a patent application for SOFA
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| 150 | ** software or algorithms embedded in the SOFA software.
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| 151 | **
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| 152 | ** e) These requirements must be reproduced intact in any source
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| 153 | ** distribution and shall apply to anyone to whom you have
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| 154 | ** granted a further right to modify the source code of your
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| 155 | ** derived work.
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| 156 | **
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| 157 | ** Note that, as originally distributed, the SOFA software is
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| 158 | ** intended to be a definitive implementation of the IAU standards,
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| 159 | ** and consequently third-party modifications are discouraged. All
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| 160 | ** variations, no matter how minor, must be explicitly marked as
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| 161 | ** such, as explained above.
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| 162 | **
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| 163 | ** 4. You shall not cause the SOFA software to be brought into
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| 164 | ** disrepute, either by misuse, or use for inappropriate tasks, or
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| 165 | ** by inappropriate modification.
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| 166 | **
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| 167 | ** 5. The SOFA software is provided "as is" and SOFA makes no warranty
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| 168 | ** as to its use or performance. SOFA does not and cannot warrant
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| 169 | ** the performance or results which the user may obtain by using the
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| 170 | ** SOFA software. SOFA makes no warranties, express or implied, as
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| 171 | ** to non-infringement of third party rights, merchantability, or
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| 172 | ** fitness for any particular purpose. In no event will SOFA be
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| 173 | ** liable to the user for any consequential, incidental, or special
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| 174 | ** damages, including any lost profits or lost savings, even if a
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| 175 | ** SOFA representative has been advised of such damages, or for any
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| 176 | ** claim by any third party.
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| 177 | **
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| 178 | ** 6. The provision of any version of the SOFA software under the terms
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| 179 | ** and conditions specified herein does not imply that future
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| 180 | ** versions will also be made available under the same terms and
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| 181 | ** conditions.
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| 182 | *
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| 183 | ** In any published work or commercial product which uses the SOFA
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| 184 | ** software directly, acknowledgement (see www.iausofa.org) is
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| 185 | ** appreciated.
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| 186 | **
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| 187 | ** Correspondence concerning SOFA software should be addressed as
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| 188 | ** follows:
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| 189 | **
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| 190 | ** By email: sofa@ukho.gov.uk
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| 191 | ** By post: IAU SOFA Center
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| 192 | ** HM Nautical Almanac Office
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| 193 | ** UK Hydrographic Office
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| 194 | ** Admiralty Way, Taunton
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| 195 | ** Somerset, TA1 2DN
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| 196 | ** United Kingdom
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| 197 | **
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| 198 | **--------------------------------------------------------------------*/
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| 199 | }
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