1 | /*
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2 | *+
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3 | * Name:
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4 | * palRverot
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5 |
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6 | * Purpose:
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7 | * Velocity component in a given direction due to Earth rotation
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8 |
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9 | * Language:
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10 | * Starlink ANSI C
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11 |
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12 | * Type of Module:
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13 | * Library routine
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14 |
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15 | * Invocation:
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16 | * double palRverot ( double phi, double ra, double da, double st );
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17 |
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18 | * Arguments:
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19 | * phi = double (Given)
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20 | * latitude of observing station (geodetic) (radians)
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21 | * ra = double (Given)
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22 | * apparent RA (radians)
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23 | * da = double (Given)
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24 | * apparent Dec (radians)
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25 | * st = double (Given)
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26 | * Local apparent sidereal time.
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27 |
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28 | * Returned Value:
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29 | * palRverot = double
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30 | * Component of Earth rotation in direction RA,DA (km/s).
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31 | * The result is +ve when the observatory is receding from the
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32 | * given point on the sky.
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33 |
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34 | * Description:
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35 | * Calculate the velocity component in a given direction due to Earth
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36 | * rotation.
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37 | *
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38 | * The simple algorithm used assumes a spherical Earth, of
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39 | * a radius chosen to give results accurate to about 0.0005 km/s
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40 | * for observing stations at typical latitudes and heights. For
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41 | * applications requiring greater precision, use the routine
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42 | * palPvobs.
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43 |
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44 | * Authors:
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45 | * PTW: Patrick T. Wallace
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46 | * TIMJ: Tim Jenness (JAC, Hawaii)
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47 | * {enter_new_authors_here}
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48 |
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49 | * History:
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50 | * 2012-03-02 (TIMJ):
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51 | * Initial version
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52 | * Adapted with permission from the Fortran SLALIB library.
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53 | * {enter_further_changes_here}
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54 |
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55 | * Copyright:
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56 | * Copyright (C) 1995 Rutherford Appleton Laboratory
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57 | * Copyright (C) 2012 Science and Technology Facilities Council.
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58 | * All Rights Reserved.
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59 |
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60 | * Licence:
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61 | * This program is free software; you can redistribute it and/or
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62 | * modify it under the terms of the GNU General Public License as
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63 | * published by the Free Software Foundation; either version 3 of
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64 | * the License, or (at your option) any later version.
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65 | *
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66 | * This program is distributed in the hope that it will be
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67 | * useful, but WITHOUT ANY WARRANTY; without even the implied
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68 | * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
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69 | * PURPOSE. See the GNU General Public License for more details.
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70 | *
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71 | * You should have received a copy of the GNU General Public License
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72 | * along with this program; if not, write to the Free Software
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73 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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74 | * MA 02110-1301, USA.
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75 |
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76 | * Bugs:
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77 | * {note_any_bugs_here}
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78 | *-
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79 | */
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80 |
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81 | #include "pal.h"
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82 |
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83 | #include <math.h>
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84 |
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85 | double palRverot ( double phi, double ra, double da, double st ) {
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86 |
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87 | /* Nominal mean sidereal speed of Earth equator in km/s (the actual
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88 | * value is about 0.4651) */
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89 | const double espeed = 0.4655;
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90 | return espeed * cos(phi) * sin(st-ra) * cos(da);
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91 | }
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