1 | #include "slalib.h"
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2 | #include "slamac.h"
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3 | double slaGmst ( double ut1 )
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4 | /*
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5 | ** - - - - - - - -
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6 | ** s l a G m s t
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7 | ** - - - - - - - -
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8 | **
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9 | ** Conversion from Universal Time to Sidereal Time.
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10 | **
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11 | ** (double precision)
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12 | **
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13 | ** Given:
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14 | ** ut1 double Universal Time (strictly UT1) expressed as
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15 | ** Modified Julian Date (JD-2400000.5)
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16 | **
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17 | ** The result is the Greenwich Mean Sidereal Time (double
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18 | ** precision, radians).
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19 | **
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20 | ** The IAU 1982 expression (see page S15 of the 1984 Astronomical
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21 | ** Almanac) is used, but rearranged to reduce rounding errors.
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22 | ** This expression is always described as giving the GMST at
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23 | ** 0 hours UT. In fact, it gives the difference between the
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24 | ** GMST and the UT, which happens to equal the GMST (modulo
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25 | ** 24 hours) at 0 hours UT each day. In this routine, the
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26 | ** entire UT is used directly as the argument for the
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27 | ** standard formula, and the fractional part of the UT is
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28 | ** added separately; note that the factor 1.0027379... does
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29 | ** not appear.
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30 | **
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31 | ** See also the routine slaGmsta, which delivers better numerical
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32 | ** precision by accepting the UT date and time as separate arguments.
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33 | **
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34 | ** Called: slaDranrm
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35 | **
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36 | ** Defined in slamac.h: D2PI, DS2R, dmod
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37 | **
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38 | ** Last revision: 19 March 1996
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39 | **
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40 | ** Copyright P.T.Wallace. All rights reserved.
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41 | */
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42 | {
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43 | double tu;
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44 |
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45 | /* Julian centuries from fundamental epoch J2000 to this UT */
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46 | tu = ( ut1 - 51544.5 ) / 36525.0;
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47 |
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48 | /* GMST at this UT */
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49 | return slaDranrm ( dmod ( ut1, 1.0 ) * D2PI +
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50 | ( 24110.54841 +
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51 | ( 8640184.812866 +
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52 | ( 0.093104 - 6.2e-6 * tu ) * tu ) * tu ) * DS2R );
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53 | }
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