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/* |
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*+ |
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* Name: |
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* palAirmas |
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* Purpose: |
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* Air mass at given zenith distance |
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* Language: |
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* Starlink ANSI C |
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12
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* Type of Module: |
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* Library routine |
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15
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* Invocation: |
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* double palAirmas( double zd ); |
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* Arguments: |
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* zd = double (Given) |
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* Observed zenith distance (radians) |
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* Description: |
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* Calculates the airmass at the observed zenith distance. |
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* Authors: |
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* PTW: Patrick Wallace (STFC) |
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* TIMJ: Tim Jenness (JAC, Hawaii) |
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* {enter_new_authors_here} |
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* Notes: |
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* - The "observed" zenith distance referred to above means "as |
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32
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* affected by refraction". |
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* - Uses Hardie's (1962) polynomial fit to Bemporad's data for |
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* the relative air mass, X, in units of thickness at the zenith |
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* as tabulated by Schoenberg (1929). This is adequate for all |
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* normal needs as it is accurate to better than 0.1% up to X = |
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* 6.8 and better than 1% up to X = 10. Bemporad's tabulated |
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* values are unlikely to be trustworthy to such accuracy |
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* because of variations in density, pressure and other |
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* conditions in the atmosphere from those assumed in his work. |
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* - The sign of the ZD is ignored. |
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* - At zenith distances greater than about ZD = 87 degrees the |
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* air mass is held constant to avoid arithmetic overflows. |
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* See Also: |
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* - Hardie, R.H., 1962, in "Astronomical Techniques" |
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* ed. W.A. Hiltner, University of Chicago Press, p180. |
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* - Schoenberg, E., 1929, Hdb. d. Ap., |
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* Berlin, Julius Springer, 2, 268. |
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51
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* History: |
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* 2012-03-02 (TIMJ): |
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53
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* Initial version from the SLA/F version including documentation. |
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54
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* Adapted with permission from the Fortran SLALIB library. |
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* {enter_further_changes_here} |
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57
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* Copyright: |
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* Copyright (C) 1999 Rutherford Appleton Laboratory. |
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* Copyright (C) 2012 Science and Technology Facilities Council. |
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* All Rights Reserved. |
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61
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62
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* Licence: |
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63
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* This program is free software; you can redistribute it and/or |
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64
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* modify it under the terms of the GNU General Public License as |
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65
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* published by the Free Software Foundation; either version 3 of |
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66
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* the License, or (at your option) any later version. |
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67
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* |
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68
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* This program is distributed in the hope that it will be |
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69
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* useful, but WITHOUT ANY WARRANTY; without even the implied |
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70
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* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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71
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* PURPOSE. See the GNU General Public License for more details. |
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72
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* |
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73
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* You should have received a copy of the GNU General Public License |
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74
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* along with this program; if not, write to the Free Software |
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75
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
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76
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* MA 02110-1301, USA. |
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77
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78
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* Bugs: |
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79
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* {note_any_bugs_here} |
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80
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*- |
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81
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*/ |
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82
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83
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#include "pal.h" |
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84
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#include "palmac.h" |
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85
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86
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0
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double palAirmas ( double zd ) { |
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87
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double seczm1; |
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88
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double airmass; |
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89
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90
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/* Have maximum zenith distance of 87 deg */ |
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91
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const double MAXZD = 87.0 * PAL__DD2R; |
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92
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93
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0
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zd = fabs(zd); |
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94
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0
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0
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zd = ( zd > MAXZD ? MAXZD : zd ); |
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95
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96
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0
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seczm1 = (1.0 / cos(zd)) - 1.0; |
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97
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0
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airmass = 1.0 + seczm1*(0.9981833 - seczm1*(0.002875 + 0.0008083*seczm1)); |
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98
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0
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return airmass; |
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99
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} |