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