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| 1 |  |  |  |  |  |  | /* | 
| 2 |  |  |  |  |  |  | *+ | 
| 3 |  |  |  |  |  |  | *  Name: | 
| 4 |  |  |  |  |  |  | *     palAirmas | 
| 5 |  |  |  |  |  |  |  | 
| 6 |  |  |  |  |  |  | *  Purpose: | 
| 7 |  |  |  |  |  |  | *     Air mass at given zenith distance | 
| 8 |  |  |  |  |  |  |  | 
| 9 |  |  |  |  |  |  | *  Language: | 
| 10 |  |  |  |  |  |  | *     Starlink ANSI C | 
| 11 |  |  |  |  |  |  |  | 
| 12 |  |  |  |  |  |  | *  Type of Module: | 
| 13 |  |  |  |  |  |  | *     Library routine | 
| 14 |  |  |  |  |  |  |  | 
| 15 |  |  |  |  |  |  | *  Invocation: | 
| 16 |  |  |  |  |  |  | *     double palAirmas( double zd ); | 
| 17 |  |  |  |  |  |  |  | 
| 18 |  |  |  |  |  |  | *  Arguments: | 
| 19 |  |  |  |  |  |  | *     zd = double (Given) | 
| 20 |  |  |  |  |  |  | *        Observed zenith distance (radians) | 
| 21 |  |  |  |  |  |  |  | 
| 22 |  |  |  |  |  |  | *  Description: | 
| 23 |  |  |  |  |  |  | *     Calculates the airmass at the observed zenith distance. | 
| 24 |  |  |  |  |  |  |  | 
| 25 |  |  |  |  |  |  | *  Authors: | 
| 26 |  |  |  |  |  |  | *     PTW: Patrick Wallace (STFC) | 
| 27 |  |  |  |  |  |  | *     TIMJ: Tim Jenness (JAC, Hawaii) | 
| 28 |  |  |  |  |  |  | *     {enter_new_authors_here} | 
| 29 |  |  |  |  |  |  |  | 
| 30 |  |  |  |  |  |  | *  Notes: | 
| 31 |  |  |  |  |  |  | *     - The "observed" zenith distance referred to above means "as | 
| 32 |  |  |  |  |  |  | *       affected by refraction". | 
| 33 |  |  |  |  |  |  | *     - Uses Hardie's (1962) polynomial fit to Bemporad's data for | 
| 34 |  |  |  |  |  |  | *       the relative air mass, X, in units of thickness at the zenith | 
| 35 |  |  |  |  |  |  | *       as tabulated by Schoenberg (1929). This is adequate for all | 
| 36 |  |  |  |  |  |  | *       normal needs as it is accurate to better than 0.1% up to X = | 
| 37 |  |  |  |  |  |  | *       6.8 and better than 1% up to X = 10. Bemporad's tabulated | 
| 38 |  |  |  |  |  |  | *       values are unlikely to be trustworthy to such accuracy | 
| 39 |  |  |  |  |  |  | *       because of variations in density, pressure and other | 
| 40 |  |  |  |  |  |  | *       conditions in the atmosphere from those assumed in his work. | 
| 41 |  |  |  |  |  |  | *     - The sign of the ZD is ignored. | 
| 42 |  |  |  |  |  |  | *     - At zenith distances greater than about ZD = 87 degrees the | 
| 43 |  |  |  |  |  |  | *       air mass is held constant to avoid arithmetic overflows. | 
| 44 |  |  |  |  |  |  |  | 
| 45 |  |  |  |  |  |  | *  See Also: | 
| 46 |  |  |  |  |  |  | *     - Hardie, R.H., 1962, in "Astronomical Techniques" | 
| 47 |  |  |  |  |  |  | *         ed. W.A. Hiltner, University of Chicago Press, p180. | 
| 48 |  |  |  |  |  |  | *     - Schoenberg, E., 1929, Hdb. d. Ap., | 
| 49 |  |  |  |  |  |  | *         Berlin, Julius Springer, 2, 268. | 
| 50 |  |  |  |  |  |  |  | 
| 51 |  |  |  |  |  |  | *  History: | 
| 52 |  |  |  |  |  |  | *     2012-03-02 (TIMJ): | 
| 53 |  |  |  |  |  |  | *        Initial version from the SLA/F version including documentation. | 
| 54 |  |  |  |  |  |  | *        Adapted with permission from the Fortran SLALIB library. | 
| 55 |  |  |  |  |  |  | *     {enter_further_changes_here} | 
| 56 |  |  |  |  |  |  |  | 
| 57 |  |  |  |  |  |  | *  Copyright: | 
| 58 |  |  |  |  |  |  | *     Copyright (C) 1999 Rutherford Appleton Laboratory. | 
| 59 |  |  |  |  |  |  | *     Copyright (C) 2012 Science and Technology Facilities Council. | 
| 60 |  |  |  |  |  |  | *     All Rights Reserved. | 
| 61 |  |  |  |  |  |  |  | 
| 62 |  |  |  |  |  |  | *  Licence: | 
| 63 |  |  |  |  |  |  | *     This program is free software; you can redistribute it and/or | 
| 64 |  |  |  |  |  |  | *     modify it under the terms of the GNU General Public License as | 
| 65 |  |  |  |  |  |  | *     published by the Free Software Foundation; either version 3 of | 
| 66 |  |  |  |  |  |  | *     the License, or (at your option) any later version. | 
| 67 |  |  |  |  |  |  | * | 
| 68 |  |  |  |  |  |  | *     This program is distributed in the hope that it will be | 
| 69 |  |  |  |  |  |  | *     useful, but WITHOUT ANY WARRANTY; without even the implied | 
| 70 |  |  |  |  |  |  | *     warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR | 
| 71 |  |  |  |  |  |  | *     PURPOSE. See the GNU General Public License for more details. | 
| 72 |  |  |  |  |  |  | * | 
| 73 |  |  |  |  |  |  | *     You should have received a copy of the GNU General Public License | 
| 74 |  |  |  |  |  |  | *     along with this program; if not, write to the Free Software | 
| 75 |  |  |  |  |  |  | *     Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, | 
| 76 |  |  |  |  |  |  | *     MA 02110-1301, USA. | 
| 77 |  |  |  |  |  |  |  | 
| 78 |  |  |  |  |  |  | *  Bugs: | 
| 79 |  |  |  |  |  |  | *     {note_any_bugs_here} | 
| 80 |  |  |  |  |  |  | *- | 
| 81 |  |  |  |  |  |  | */ | 
| 82 |  |  |  |  |  |  |  | 
| 83 |  |  |  |  |  |  | #include "pal.h" | 
| 84 |  |  |  |  |  |  | #include "palmac.h" | 
| 85 |  |  |  |  |  |  |  | 
| 86 | 0 |  |  |  |  |  | double palAirmas ( double zd ) { | 
| 87 |  |  |  |  |  |  | double seczm1; | 
| 88 |  |  |  |  |  |  | double airmass; | 
| 89 |  |  |  |  |  |  |  | 
| 90 |  |  |  |  |  |  | /* Have maximum zenith distance of 87 deg */ | 
| 91 |  |  |  |  |  |  | const double MAXZD = 87.0 * PAL__DD2R; | 
| 92 |  |  |  |  |  |  |  | 
| 93 | 0 |  |  |  |  |  | zd = fabs(zd); | 
| 94 | 0 | 0 |  |  |  |  | zd = ( zd > MAXZD ? MAXZD : zd ); | 
| 95 |  |  |  |  |  |  |  | 
| 96 | 0 |  |  |  |  |  | seczm1 = (1.0 / cos(zd)) - 1.0; | 
| 97 | 0 |  |  |  |  |  | airmass = 1.0 + seczm1*(0.9981833 - seczm1*(0.002875 + 0.0008083*seczm1)); | 
| 98 | 0 |  |  |  |  |  | return airmass; | 
| 99 |  |  |  |  |  |  | } |