1 | #include "erfa.h"
|
---|
2 |
|
---|
3 | int eraAtco13(double rc, double dc,
|
---|
4 | double pr, double pd, double px, double rv,
|
---|
5 | double utc1, double utc2, double dut1,
|
---|
6 | double elong, double phi, double hm, double xp, double yp,
|
---|
7 | double phpa, double tc, double rh, double wl,
|
---|
8 | double *aob, double *zob, double *hob,
|
---|
9 | double *dob, double *rob, double *eo)
|
---|
10 | /*
|
---|
11 | ** - - - - - - - - - -
|
---|
12 | ** e r a A t c o 1 3
|
---|
13 | ** - - - - - - - - - -
|
---|
14 | **
|
---|
15 | ** ICRS RA,Dec to observed place. The caller supplies UTC, site
|
---|
16 | ** coordinates, ambient air conditions and observing wavelength.
|
---|
17 | **
|
---|
18 | ** ERFA models are used for the Earth ephemeris, bias-precession-
|
---|
19 | ** nutation, Earth orientation and refraction.
|
---|
20 | **
|
---|
21 | ** Given:
|
---|
22 | ** rc,dc double ICRS right ascension at J2000.0 (radians, Note 1)
|
---|
23 | ** pr double RA proper motion (radians/year; Note 2)
|
---|
24 | ** pd double Dec proper motion (radians/year)
|
---|
25 | ** px double parallax (arcsec)
|
---|
26 | ** rv double radial velocity (km/s, +ve if receding)
|
---|
27 | ** utc1 double UTC as a 2-part...
|
---|
28 | ** utc2 double ...quasi Julian Date (Notes 3-4)
|
---|
29 | ** dut1 double UT1-UTC (seconds, Note 5)
|
---|
30 | ** elong double longitude (radians, east +ve, Note 6)
|
---|
31 | ** phi double latitude (geodetic, radians, Note 6)
|
---|
32 | ** hm double height above ellipsoid (m, geodetic, Notes 6,8)
|
---|
33 | ** xp,yp double polar motion coordinates (radians, Note 7)
|
---|
34 | ** phpa double pressure at the observer (hPa = mB, Note 8)
|
---|
35 | ** tc double ambient temperature at the observer (deg C)
|
---|
36 | ** rh double relative humidity at the observer (range 0-1)
|
---|
37 | ** wl double wavelength (micrometers, Note 9)
|
---|
38 | **
|
---|
39 | ** Returned:
|
---|
40 | ** aob double* observed azimuth (radians: N=0,E=90)
|
---|
41 | ** zob double* observed zenith distance (radians)
|
---|
42 | ** hob double* observed hour angle (radians)
|
---|
43 | ** dob double* observed declination (radians)
|
---|
44 | ** rob double* observed right ascension (CIO-based, radians)
|
---|
45 | ** eo double* equation of the origins (ERA-GST)
|
---|
46 | **
|
---|
47 | ** Returned (function value):
|
---|
48 | ** int status: +1 = dubious year (Note 4)
|
---|
49 | ** 0 = OK
|
---|
50 | ** -1 = unacceptable date
|
---|
51 | **
|
---|
52 | ** Notes:
|
---|
53 | **
|
---|
54 | ** 1) Star data for an epoch other than J2000.0 (for example from the
|
---|
55 | ** Hipparcos catalog, which has an epoch of J1991.25) will require
|
---|
56 | ** a preliminary call to eraPmsafe before use.
|
---|
57 | **
|
---|
58 | ** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
|
---|
59 | **
|
---|
60 | ** 3) utc1+utc2 is quasi Julian Date (see Note 2), apportioned in any
|
---|
61 | ** convenient way between the two arguments, for example where utc1
|
---|
62 | ** is the Julian Day Number and utc2 is the fraction of a day.
|
---|
63 | **
|
---|
64 | ** However, JD cannot unambiguously represent UTC during a leap
|
---|
65 | ** second unless special measures are taken. The convention in the
|
---|
66 | ** present function is that the JD day represents UTC days whether
|
---|
67 | ** the length is 86399, 86400 or 86401 SI seconds.
|
---|
68 | **
|
---|
69 | ** Applications should use the function eraDtf2d to convert from
|
---|
70 | ** calendar date and time of day into 2-part quasi Julian Date, as
|
---|
71 | ** it implements the leap-second-ambiguity convention just
|
---|
72 | ** described.
|
---|
73 | **
|
---|
74 | ** 4) The warning status "dubious year" flags UTCs that predate the
|
---|
75 | ** introduction of the time scale or that are too far in the
|
---|
76 | ** future to be trusted. See eraDat for further details.
|
---|
77 | **
|
---|
78 | ** 5) UT1-UTC is tabulated in IERS bulletins. It increases by exactly
|
---|
79 | ** one second at the end of each positive UTC leap second,
|
---|
80 | ** introduced in order to keep UT1-UTC within +/- 0.9s. n.b. This
|
---|
81 | ** practice is under review, and in the future UT1-UTC may grow
|
---|
82 | ** essentially without limit.
|
---|
83 | **
|
---|
84 | ** 6) The geographical coordinates are with respect to the ERFA_WGS84
|
---|
85 | ** reference ellipsoid. TAKE CARE WITH THE LONGITUDE SIGN: the
|
---|
86 | ** longitude required by the present function is east-positive
|
---|
87 | ** (i.e. right-handed), in accordance with geographical convention.
|
---|
88 | **
|
---|
89 | ** 7) The polar motion xp,yp can be obtained from IERS bulletins. The
|
---|
90 | ** values are the coordinates (in radians) of the Celestial
|
---|
91 | ** Intermediate Pole with respect to the International Terrestrial
|
---|
92 | ** Reference System (see IERS Conventions 2003), measured along the
|
---|
93 | ** meridians 0 and 90 deg west respectively. For many
|
---|
94 | ** applications, xp and yp can be set to zero.
|
---|
95 | **
|
---|
96 | ** 8) If hm, the height above the ellipsoid of the observing station
|
---|
97 | ** in meters, is not known but phpa, the pressure in hPa (=mB),
|
---|
98 | ** is available, an adequate estimate of hm can be obtained from
|
---|
99 | ** the expression
|
---|
100 | **
|
---|
101 | ** hm = -29.3 * tsl * log ( phpa / 1013.25 );
|
---|
102 | **
|
---|
103 | ** where tsl is the approximate sea-level air temperature in K
|
---|
104 | ** (See Astrophysical Quantities, C.W.Allen, 3rd edition, section
|
---|
105 | ** 52). Similarly, if the pressure phpa is not known, it can be
|
---|
106 | ** estimated from the height of the observing station, hm, as
|
---|
107 | ** follows:
|
---|
108 | **
|
---|
109 | ** phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
|
---|
110 | **
|
---|
111 | ** Note, however, that the refraction is nearly proportional to
|
---|
112 | ** the pressure and that an accurate phpa value is important for
|
---|
113 | ** precise work.
|
---|
114 | **
|
---|
115 | ** 9) The argument wl specifies the observing wavelength in
|
---|
116 | ** micrometers. The transition from optical to radio is assumed to
|
---|
117 | ** occur at 100 micrometers (about 3000 GHz).
|
---|
118 | **
|
---|
119 | ** 10) The accuracy of the result is limited by the corrections for
|
---|
120 | ** refraction, which use a simple A*tan(z) + B*tan^3(z) model.
|
---|
121 | ** Providing the meteorological parameters are known accurately and
|
---|
122 | ** there are no gross local effects, the predicted observed
|
---|
123 | ** coordinates should be within 0.05 arcsec (optical) or 1 arcsec
|
---|
124 | ** (radio) for a zenith distance of less than 70 degrees, better
|
---|
125 | ** than 30 arcsec (optical or radio) at 85 degrees and better
|
---|
126 | ** than 20 arcmin (optical) or 30 arcmin (radio) at the horizon.
|
---|
127 | **
|
---|
128 | ** Without refraction, the complementary functions eraAtco13 and
|
---|
129 | ** eraAtoc13 are self-consistent to better than 1 microarcsecond
|
---|
130 | ** all over the celestial sphere. With refraction included,
|
---|
131 | ** consistency falls off at high zenith distances, but is still
|
---|
132 | ** better than 0.05 arcsec at 85 degrees.
|
---|
133 | **
|
---|
134 | ** 11) "Observed" Az,ZD means the position that would be seen by a
|
---|
135 | ** perfect geodetically aligned theodolite. (Zenith distance is
|
---|
136 | ** used rather than altitude in order to reflect the fact that no
|
---|
137 | ** allowance is made for depression of the horizon.) This is
|
---|
138 | ** related to the observed HA,Dec via the standard rotation, using
|
---|
139 | ** the geodetic latitude (corrected for polar motion), while the
|
---|
140 | ** observed HA and RA are related simply through the Earth rotation
|
---|
141 | ** angle and the site longitude. "Observed" RA,Dec or HA,Dec thus
|
---|
142 | ** means the position that would be seen by a perfect equatorial
|
---|
143 | ** with its polar axis aligned to the Earth's axis of rotation.
|
---|
144 | **
|
---|
145 | ** 12) It is advisable to take great care with units, as even unlikely
|
---|
146 | ** values of the input parameters are accepted and processed in
|
---|
147 | ** accordance with the models used.
|
---|
148 | **
|
---|
149 | ** Called:
|
---|
150 | ** eraApco13 astrometry parameters, ICRS-observed, 2013
|
---|
151 | ** eraAtciq quick ICRS to CIRS
|
---|
152 | ** eraAtioq quick CIRS to observed
|
---|
153 | **
|
---|
154 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
|
---|
155 | ** Derived, with permission, from the SOFA library. See notes at end of file.
|
---|
156 | */
|
---|
157 | {
|
---|
158 | int j;
|
---|
159 | eraASTROM astrom;
|
---|
160 | double ri, di;
|
---|
161 |
|
---|
162 |
|
---|
163 | /* Star-independent astrometry parameters. */
|
---|
164 | j = eraApco13(utc1, utc2, dut1, elong, phi, hm, xp, yp,
|
---|
165 | phpa, tc, rh, wl, &astrom, eo);
|
---|
166 |
|
---|
167 | /* Abort if bad UTC. */
|
---|
168 | if ( j < 0 ) return j;
|
---|
169 |
|
---|
170 | /* Transform ICRS to CIRS. */
|
---|
171 | eraAtciq(rc, dc, pr, pd, px, rv, &astrom, &ri, &di);
|
---|
172 |
|
---|
173 | /* Transform CIRS to observed. */
|
---|
174 | eraAtioq(ri, di, &astrom, aob, zob, hob, dob, rob);
|
---|
175 |
|
---|
176 | /* Return OK/warning status. */
|
---|
177 | return j;
|
---|
178 |
|
---|
179 | /* Finished. */
|
---|
180 |
|
---|
181 | }
|
---|
182 | /*----------------------------------------------------------------------
|
---|
183 | **
|
---|
184 | **
|
---|
185 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
|
---|
186 | ** All rights reserved.
|
---|
187 | **
|
---|
188 | ** This library is derived, with permission, from the International
|
---|
189 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
---|
190 | ** available from http://www.iausofa.org.
|
---|
191 | **
|
---|
192 | ** The ERFA version is intended to retain identical functionality to
|
---|
193 | ** the SOFA library, but made distinct through different function and
|
---|
194 | ** file names, as set out in the SOFA license conditions. The SOFA
|
---|
195 | ** original has a role as a reference standard for the IAU and IERS,
|
---|
196 | ** and consequently redistribution is permitted only in its unaltered
|
---|
197 | ** state. The ERFA version is not subject to this restriction and
|
---|
198 | ** therefore can be included in distributions which do not support the
|
---|
199 | ** concept of "read only" software.
|
---|
200 | **
|
---|
201 | ** Although the intent is to replicate the SOFA API (other than
|
---|
202 | ** replacement of prefix names) and results (with the exception of
|
---|
203 | ** bugs; any that are discovered will be fixed), SOFA is not
|
---|
204 | ** responsible for any errors found in this version of the library.
|
---|
205 | **
|
---|
206 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
---|
207 | ** that you are using a library derived from SOFA, rather than SOFA
|
---|
208 | ** itself.
|
---|
209 | **
|
---|
210 | **
|
---|
211 | ** TERMS AND CONDITIONS
|
---|
212 | **
|
---|
213 | ** Redistribution and use in source and binary forms, with or without
|
---|
214 | ** modification, are permitted provided that the following conditions
|
---|
215 | ** are met:
|
---|
216 | **
|
---|
217 | ** 1 Redistributions of source code must retain the above copyright
|
---|
218 | ** notice, this list of conditions and the following disclaimer.
|
---|
219 | **
|
---|
220 | ** 2 Redistributions in binary form must reproduce the above copyright
|
---|
221 | ** notice, this list of conditions and the following disclaimer in
|
---|
222 | ** the documentation and/or other materials provided with the
|
---|
223 | ** distribution.
|
---|
224 | **
|
---|
225 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
---|
226 | ** the International Astronomical Union nor the names of its
|
---|
227 | ** contributors may be used to endorse or promote products derived
|
---|
228 | ** from this software without specific prior written permission.
|
---|
229 | **
|
---|
230 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
---|
231 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
---|
232 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
---|
233 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
---|
234 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
---|
235 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
---|
236 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
---|
237 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
---|
238 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
---|
239 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
---|
240 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
---|
241 | ** POSSIBILITY OF SUCH DAMAGE.
|
---|
242 | **
|
---|
243 | */
|
---|