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#include "erfa.h" |
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void eraHd2ae (double ha, double dec, double phi, |
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double *az, double *el) |
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/* |
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** - - - - - - - - - |
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** e r a H d 2 a e |
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** - - - - - - - - - |
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** |
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** Equatorial to horizon coordinates: transform hour angle and |
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** declination to azimuth and altitude. |
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** |
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** Given: |
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** ha double hour angle (local) |
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** dec double declination |
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** phi double site latitude |
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** |
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** Returned: |
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** *az double azimuth |
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** *el double altitude (informally, elevation) |
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** |
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** Notes: |
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** |
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** 1) All the arguments are angles in radians. |
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** |
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** 2) Azimuth is returned in the range 0-2pi; north is zero, and east |
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** is +pi/2. Altitude is returned in the range +/- pi/2. |
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** |
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** 3) The latitude phi is pi/2 minus the angle between the Earth's |
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** rotation axis and the adopted zenith. In many applications it |
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** will be sufficient to use the published geodetic latitude of the |
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** site. In very precise (sub-arcsecond) applications, phi can be |
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** corrected for polar motion. |
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** |
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** 4) The returned azimuth az is with respect to the rotational north |
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** pole, as opposed to the ITRS pole, and for sub-arcsecond |
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** accuracy will need to be adjusted for polar motion if it is to |
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** be with respect to north on a map of the Earth's surface. |
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** |
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** 5) Should the user wish to work with respect to the astronomical |
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** zenith rather than the geodetic zenith, phi will need to be |
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** adjusted for deflection of the vertical (often tens of |
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** arcseconds), and the zero point of the hour angle ha will also |
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** be affected. |
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** |
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** 6) The transformation is the same as Vh = Rz(pi)*Ry(pi/2-phi)*Ve, |
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** where Vh and Ve are lefthanded unit vectors in the (az,el) and |
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** (ha,dec) systems respectively and Ry and Rz are rotations about |
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** first the y-axis and then the z-axis. (n.b. Rz(pi) simply |
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** reverses the signs of the x and y components.) For efficiency, |
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** the algorithm is written out rather than calling other utility |
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** functions. For applications that require even greater |
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** efficiency, additional savings are possible if constant terms |
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** such as functions of latitude are computed once and for all. |
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** |
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** 7) Again for efficiency, no range checking of arguments is carried |
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** out. |
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** |
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** Last revision: 2017 September 12 |
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** |
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** ERFA release 2018-01-30 |
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** |
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** Copyright (C) 2018 IAU ERFA Board. See notes at end. |
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*/ |
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{ |
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double sh, ch, sd, cd, sp, cp, x, y, z, r, a; |
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/* Useful trig functions. */ |
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sh = sin(ha); |
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ch = cos(ha); |
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sd = sin(dec); |
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cd = cos(dec); |
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sp = sin(phi); |
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cp = cos(phi); |
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/* Az,Alt unit vector. */ |
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x = - ch*cd*sp + sd*cp; |
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y = - sh*cd; |
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z = ch*cd*cp + sd*sp; |
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/* To spherical. */ |
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r = sqrt(x*x + y*y); |
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a = (r != 0.0) ? atan2(y,x) : 0.0; |
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*az = (a < 0.0) ? a+ERFA_D2PI : a; |
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*el = atan2(z,r); |
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/* Finished. */ |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2019, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |