| 1 | #include "slalib.h" | 
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| 2 | #include "slamac.h" | 
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| 3 | void slaAop ( double rap, double dap, double date, double dut, | 
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| 4 | double elongm, double phim, double hm, | 
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| 5 | double xp, double yp, double tdk, double pmb, | 
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| 6 | double rh, double wl, double tlr, | 
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| 7 | double *aob, double *zob, | 
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| 8 | double *hob, double *dob, | 
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| 9 | double *rob ) | 
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| 10 | /* | 
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| 11 | **  - - - - - - - | 
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| 12 | **   s l a A o p | 
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| 13 | **  - - - - - - - | 
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| 14 | ** | 
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| 15 | **  Apparent to observed place, for optical sources distant from | 
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| 16 | **  the solar system. | 
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| 17 | ** | 
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| 18 | **  Given: | 
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| 19 | **     rap     double  geocentric apparent right ascension | 
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| 20 | **     dap     double  geocentric apparent declination | 
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| 21 | **     date    double  UTC date/time (Modified Julian Date, JD-2400000.5) | 
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| 22 | **     dut     double  delta UT:  UT1-UTC (UTC seconds) | 
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| 23 | **     elongm  double  mean longitude of the observer (radians, east +ve) | 
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| 24 | **     phim    double  mean geodetic latitude of the observer (radians) | 
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| 25 | **     hm      double  observer's height above sea level (metres) | 
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| 26 | **     xp      double  polar motion x-coordinate (radians) | 
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| 27 | **     yp      double  polar motion y-coordinate (radians) | 
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| 28 | **     tdk     double  local ambient temperature (DegK; std=273.155) | 
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| 29 | **     pmb     double  local atmospheric pressure (mB; std=1013.25) | 
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| 30 | **     rh      double  local relative humidity (in the range 0.0-1.0) | 
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| 31 | **     wl      double  effective wavelength (micron, e.g. 0.55) | 
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| 32 | **     tlr     double  tropospheric lapse rate (DegK/metre, e.g. 0.0065) | 
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| 33 | ** | 
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| 34 | **  Returned: | 
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| 35 | **     aob     double  observed azimuth (radians: N=0,E=90) | 
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| 36 | **     zob     double  observed zenith distance (radians) | 
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| 37 | **     hob     double  observed Hour Angle (radians) | 
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| 38 | **     dob     double  observed Declination (radians) | 
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| 39 | **     rob     double  observed Right Ascension (radians) | 
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| 40 | ** | 
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| 41 | **  Notes: | 
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| 42 | ** | 
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| 43 | **   1)  This routine returns zenith distance rather than elevation | 
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| 44 | **       in order to reflect the fact that no allowance is made for | 
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| 45 | **       depression of the horizon. | 
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| 46 | ** | 
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| 47 | **   2)  The accuracy of the result is limited by the corrections for | 
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| 48 | **       refraction.  Providing the meteorological parameters are | 
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| 49 | **       known accurately and there are no gross local effects, the | 
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| 50 | **       predicted apparent RA,Dec should be within about 0.1 arcsec | 
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| 51 | **       for a zenith distance of less than 70 degrees.  Even at a | 
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| 52 | **       topocentric zenith distance of 90 degrees, the accuracy in | 
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| 53 | **       elevation should be better than 1 arcmin;  useful results | 
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| 54 | **       are available for a further 3 degrees, beyond which the | 
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| 55 | **       slaRefro routine returns a fixed value of the refraction. | 
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| 56 | **       The complementary routines slaAop (or slaAopqk) and slaOap | 
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| 57 | **       (or slaOapqk) are self-consistent to better than 1 micro- | 
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| 58 | **       arcsecond all over the celestial sphere. | 
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| 59 | ** | 
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| 60 | **   3)  It is advisable to take great care with units, as even | 
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| 61 | **       unlikely values of the input parameters are accepted and | 
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| 62 | **       processed in accordance with the models used. | 
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| 63 | ** | 
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| 64 | **   4)  "Apparent" place means the geocentric apparent right ascension | 
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| 65 | **       and declination, which is obtained from a catalogue mean place | 
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| 66 | **       by allowing for space motion, parallax, precession, nutation, | 
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| 67 | **       annual aberration, and the Sun's gravitational lens effect.  For | 
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| 68 | **       star positions in the FK5 system (i.e. J2000), these effects can | 
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| 69 | **       be applied by means of the slaMap etc routines.  Starting from | 
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| 70 | **       other mean place systems, additional transformations will be | 
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| 71 | **       needed;  for example, FK4 (i.e. B1950) mean places would first | 
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| 72 | **       have to be converted to FK5, which can be done with the | 
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| 73 | **       slaFk425 etc routines. | 
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| 74 | ** | 
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| 75 | **   5)  "Observed" Az,El means the position that would be seen by a | 
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| 76 | **       perfect theodolite located at the observer.  This is obtained | 
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| 77 | **       from the geocentric apparent RA,Dec by allowing for Earth | 
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| 78 | **       orientation and diurnal aberration, rotating from equator | 
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| 79 | **       to horizon coordinates, and then adjusting for refraction. | 
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| 80 | **       The HA,Dec is obtained by rotating back into equatorial | 
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| 81 | **       coordinates, using the geodetic latitude corrected for polar | 
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| 82 | **       motion, and is the position that would be seen by a perfect | 
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| 83 | **       equatorial located at the observer and with its polar axis | 
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| 84 | **       aligned to the Earth's axis of rotation (n.b. not to the | 
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| 85 | **       refracted pole).  Finally, the RA is obtained by subtracting | 
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| 86 | **       the HA from the local apparent ST. | 
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| 87 | ** | 
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| 88 | **   6)  To predict the required setting of a real telescope, the | 
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| 89 | **       observed place produced by this routine would have to be | 
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| 90 | **       adjusted for the tilt of the azimuth or polar axis of the | 
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| 91 | **       mounting (with appropriate corrections for mount flexures), | 
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| 92 | **       for non-perpendicularity between the mounting axes, for the | 
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| 93 | **       position of the rotator axis and the pointing axis relative | 
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| 94 | **       to it, for tube flexure, for gear and encoder errors, and | 
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| 95 | **       finally for encoder zero points.  Some telescopes would, of | 
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| 96 | **       course, exhibit other properties which would need to be | 
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| 97 | **       accounted for at the appropriate point in the sequence. | 
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| 98 | ** | 
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| 99 | **   7)  This routine takes time to execute, due mainly to the | 
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| 100 | **       rigorous integration used to evaluate the refraction. | 
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| 101 | **       For processing multiple stars for one location and time, | 
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| 102 | **       call slaAoppa once followed by one call per star to slaAopqk. | 
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| 103 | **       Where a range of times within a limited period of a few hours | 
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| 104 | **       is involved, and the highest precision is not required, call | 
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| 105 | **       slaAoppa once, followed by a call to slaAoppat each time the | 
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| 106 | **       time changes, followed by one call per star to slaAopqk. | 
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| 107 | ** | 
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| 108 | **   8)  The date argument is UTC expressed as an MJD.  This is, | 
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| 109 | **       strictly speaking, wrong, because of leap seconds.  However, | 
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| 110 | **       as long as the delta UT and the UTC are consistent there | 
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| 111 | **       are no difficulties, except during a leap second.  In this | 
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| 112 | **       case, the start of the 61st second of the final minute should | 
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| 113 | **       begin a new MJD day and the old pre-leap delta UT should | 
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| 114 | **       continue to be used.  As the 61st second completes, the MJD | 
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| 115 | **       should revert to the start of the day as, simultaneously, | 
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| 116 | **       the delta UTC changes by one second to its post-leap new value. | 
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| 117 | ** | 
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| 118 | **   9)  The delta UT (UT1-UTC) is tabulated in IERS circulars and | 
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| 119 | **       elsewhere.  It increases by exactly one second at the end of | 
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| 120 | **       each UTC leap second, introduced in order to keep delta UT | 
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| 121 | **       within +/- 0.9 seconds. | 
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| 122 | ** | 
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| 123 | **  10)  IMPORTANT -- TAKE CARE WITH THE LONGITUDE SIGN CONVENTION. | 
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| 124 | **       The longitude required by the present routine is east-positive, | 
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| 125 | **       in accordance with geographical convention (and right-handed). | 
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| 126 | **       In particular, note that the longitudes returned by the | 
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| 127 | **       slaObs routine are west-positive, following astronomical | 
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| 128 | **       usage, and must be reversed in sign before use in the present | 
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| 129 | **       routine. | 
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| 130 | ** | 
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| 131 | **  11)  The polar coordinates xp,yp can be obtained from IERS | 
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| 132 | **       circulars and equivalent publications.  The maximum amplitude | 
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| 133 | **       is about 0.3 arcseconds.  If xp,yp values are unavailable, | 
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| 134 | **       use xp=yp=0.0.  See page B60 of the 1988 Astronomical Almanac | 
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| 135 | **       for a definition of the two angles. | 
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| 136 | ** | 
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| 137 | **  12)  The height above sea level of the observing station, hm, | 
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| 138 | **       can be obtained from the Astronomical Almanac (Section J | 
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| 139 | **       in the 1988 edition), or via the routine slaObs.  If p, | 
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| 140 | **       the pressure in millibars, is available, an adequate | 
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| 141 | **       estimate of hm can be obtained from the expression | 
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| 142 | ** | 
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| 143 | **             hm = -29.3 * tsl * log ( p / 1013.25 ); | 
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| 144 | ** | 
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| 145 | **       where tsl is the approximate sea-level air temperature | 
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| 146 | **       in deg K (See Astrophysical Quantities, C.W.Allen, | 
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| 147 | **       3rd edition, section 52).  Similarly, if the pressure p | 
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| 148 | **       is not known, it can be estimated from the height of the | 
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| 149 | **       observing station, hm as follows: | 
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| 150 | ** | 
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| 151 | **             p = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); | 
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| 152 | ** | 
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| 153 | **       Note, however, that the refraction is proportional to the | 
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| 154 | **       pressure and that an accurate p value is important for | 
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| 155 | **       precise work. | 
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| 156 | ** | 
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| 157 | **  13)  The azimuths etc produced by the present routine are with | 
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| 158 | **       respect to the celestial pole.  Corrections to the terrestrial | 
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| 159 | **       pole can be computed using slaPolmo. | 
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| 160 | ** | 
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| 161 | **  Called:  slaAoppa, slaAopqk | 
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| 162 | ** | 
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| 163 | **  Last revision:   6 September 1999 | 
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| 164 | ** | 
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| 165 | **  Copyright P.T.Wallace.  All rights reserved. | 
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| 166 | */ | 
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| 167 | { | 
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| 168 | double aoprms[14]; | 
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| 169 |  | 
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| 170 | slaAoppa ( date, dut, elongm, phim, hm, xp, | 
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| 171 | yp, tdk, pmb, rh, wl, tlr, aoprms ); | 
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| 172 | slaAopqk ( rap, dap, aoprms, aob, zob, hob, dob, rob ); | 
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| 173 | } | 
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