| line |
stmt |
bran |
cond |
sub |
pod |
time |
code |
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1
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/* |
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2
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*+ |
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3
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* Name: |
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4
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* palOap |
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6
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* Purpose: |
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* Observed to apparent place |
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9
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* Language: |
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* Starlink ANSI C |
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11
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12
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* Type of Module: |
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* Library routine |
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14
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15
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* Invocation: |
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16
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* void palOap ( const char *type, double ob1, double ob2, double date, |
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17
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* double dut, double elongm, double phim, double hm, |
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18
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* double xp, double yp, double tdk, double pmb, |
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19
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* double rh, double wl, double tlr, |
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20
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* double *rap, double *dap ); |
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21
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22
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* Arguments: |
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23
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* type = const char * (Given) |
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24
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* Type of coordinates - 'R', 'H' or 'A' (see below) |
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25
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* ob1 = double (Given) |
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26
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* Observed Az, HA or RA (radians; Az is N=0;E=90) |
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27
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* ob2 = double (Given) |
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28
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* Observed ZD or Dec (radians) |
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29
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* date = double (Given) |
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30
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* UTC date/time (Modified Julian Date, JD-2400000.5) |
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31
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* dut = double (Given) |
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32
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* delta UT: UT1-UTC (UTC seconds) |
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33
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* elongm = double (Given) |
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34
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* Mean longitude of the observer (radians, east +ve) |
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35
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* phim = double (Given) |
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36
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* Mean geodetic latitude of the observer (radians) |
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37
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* hm = double (Given) |
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38
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* Observer's height above sea level (metres) |
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39
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* xp = double (Given) |
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40
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* Polar motion x-coordinates (radians) |
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41
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* yp = double (Given) |
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42
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* Polar motion y-coordinates (radians) |
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43
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* tdk = double (Given) |
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44
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* Local ambient temperature (K; std=273.15) |
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45
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* pmb = double (Given) |
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46
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* Local atmospheric pressure (mb; std=1013.25) |
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47
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* rh = double (Given) |
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48
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* Local relative humidity (in the range 0.0-1.0) |
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49
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* wl = double (Given) |
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50
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* Effective wavelength (micron, e.g. 0.55) |
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51
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* tlr = double (Given) |
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52
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* Tropospheric laps rate (K/metre, e.g. 0.0065) |
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53
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* rap = double * (Given) |
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54
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* Geocentric apparent right ascension |
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55
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* dap = double * (Given) |
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56
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* Geocentric apparent declination |
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57
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58
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* Description: |
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59
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* Observed to apparent place. |
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60
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61
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* Authors: |
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62
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* PTW: Patrick T. Wallace |
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63
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* TIMJ: Tim Jenness (JAC, Hawaii) |
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64
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* {enter_new_authors_here} |
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65
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66
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* Notes: |
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67
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* - Only the first character of the TYPE argument is significant. |
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68
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* 'R' or 'r' indicates that OBS1 and OBS2 are the observed right |
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69
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* ascension and declination; 'H' or 'h' indicates that they are |
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70
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* hour angle (west +ve) and declination; anything else ('A' or |
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71
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* 'a' is recommended) indicates that OBS1 and OBS2 are azimuth |
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72
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* (north zero, east 90 deg) and zenith distance. (Zenith |
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73
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* distance is used rather than elevation in order to reflect the |
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74
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* fact that no allowance is made for depression of the horizon.) |
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75
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* |
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76
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* - The accuracy of the result is limited by the corrections for |
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77
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* refraction. Providing the meteorological parameters are |
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78
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* known accurately and there are no gross local effects, the |
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79
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* predicted apparent RA,Dec should be within about 0.1 arcsec |
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80
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* for a zenith distance of less than 70 degrees. Even at a |
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81
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* topocentric zenith distance of 90 degrees, the accuracy in |
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82
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* elevation should be better than 1 arcmin; useful results |
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83
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* are available for a further 3 degrees, beyond which the |
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84
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* palRefro routine returns a fixed value of the refraction. |
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85
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* The complementary routines palAop (or palAopqk) and palOap |
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86
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* (or palOapqk) are self-consistent to better than 1 micro- |
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87
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* arcsecond all over the celestial sphere. |
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88
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* |
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89
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* - It is advisable to take great care with units, as even |
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90
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* unlikely values of the input parameters are accepted and |
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91
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* processed in accordance with the models used. |
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92
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* |
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93
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* - "Observed" Az,El means the position that would be seen by a |
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94
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* perfect theodolite located at the observer. This is |
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95
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* related to the observed HA,Dec via the standard rotation, using |
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96
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* the geodetic latitude (corrected for polar motion), while the |
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97
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* observed HA and RA are related simply through the local |
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98
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* apparent ST. "Observed" RA,Dec or HA,Dec thus means the |
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99
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* position that would be seen by a perfect equatorial located |
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100
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* at the observer and with its polar axis aligned to the |
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101
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* Earth's axis of rotation (n.b. not to the refracted pole). |
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102
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* By removing from the observed place the effects of |
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103
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* atmospheric refraction and diurnal aberration, the |
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104
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* geocentric apparent RA,Dec is obtained. |
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105
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* |
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106
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* - Frequently, mean rather than apparent RA,Dec will be required, |
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107
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* in which case further transformations will be necessary. The |
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108
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* palAmp etc routines will convert the apparent RA,Dec produced |
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109
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* by the present routine into an "FK5" (J2000) mean place, by |
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110
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* allowing for the Sun's gravitational lens effect, annual |
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111
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* aberration, nutation and precession. Should "FK4" (1950) |
|
112
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* coordinates be needed, the routines palFk524 etc will also |
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113
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* need to be applied. |
|
114
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* |
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115
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* - To convert to apparent RA,Dec the coordinates read from a |
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116
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* real telescope, corrections would have to be applied for |
|
117
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* encoder zero points, gear and encoder errors, tube flexure, |
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118
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* the position of the rotator axis and the pointing axis |
|
119
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* relative to it, non-perpendicularity between the mounting |
|
120
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* axes, and finally for the tilt of the azimuth or polar axis |
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121
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* of the mounting (with appropriate corrections for mount |
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122
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* flexures). Some telescopes would, of course, exhibit other |
|
123
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* properties which would need to be accounted for at the |
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124
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* appropriate point in the sequence. |
|
125
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* |
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126
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* - This routine takes time to execute, due mainly to the rigorous |
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127
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* integration used to evaluate the refraction. For processing |
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128
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* multiple stars for one location and time, call palAoppa once |
|
129
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* followed by one call per star to palOapqk. Where a range of |
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130
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* times within a limited period of a few hours is involved, and the |
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131
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* highest precision is not required, call palAoppa once, followed |
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132
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* by a call to palAoppat each time the time changes, followed by |
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133
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* one call per star to palOapqk. |
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134
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* |
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135
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* - The DATE argument is UTC expressed as an MJD. This is, strictly |
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136
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* speaking, wrong, because of leap seconds. However, as long as |
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137
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* the delta UT and the UTC are consistent there are no |
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138
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* difficulties, except during a leap second. In this case, the |
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139
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* start of the 61st second of the final minute should begin a new |
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140
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* MJD day and the old pre-leap delta UT should continue to be used. |
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141
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* As the 61st second completes, the MJD should revert to the start |
|
142
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* of the day as, simultaneously, the delta UTC changes by one |
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143
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* second to its post-leap new value. |
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144
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* |
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145
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* - The delta UT (UT1-UTC) is tabulated in IERS circulars and |
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146
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* elsewhere. It increases by exactly one second at the end of |
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147
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* each UTC leap second, introduced in order to keep delta UT |
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148
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* within +/- 0.9 seconds. |
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149
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* |
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150
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* - IMPORTANT -- TAKE CARE WITH THE LONGITUDE SIGN CONVENTION. |
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151
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* The longitude required by the present routine is east-positive, |
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152
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* in accordance with geographical convention (and right-handed). |
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153
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* In particular, note that the longitudes returned by the |
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154
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* palOBS routine are west-positive, following astronomical |
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155
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* usage, and must be reversed in sign before use in the present |
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156
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* routine. |
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157
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* |
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158
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* - The polar coordinates XP,YP can be obtained from IERS |
|
159
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* circulars and equivalent publications. The maximum amplitude |
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160
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* is about 0.3 arcseconds. If XP,YP values are unavailable, |
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161
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* use XP=YP=0D0. See page B60 of the 1988 Astronomical Almanac |
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162
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* for a definition of the two angles. |
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163
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* |
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164
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* - The height above sea level of the observing station, HM, |
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165
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* can be obtained from the Astronomical Almanac (Section J |
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166
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* in the 1988 edition), or via the routine palOBS. If P, |
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167
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* the pressure in millibars, is available, an adequate |
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168
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* estimate of HM can be obtained from the expression |
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169
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* |
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170
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* HM ~ -29.3*TSL*LOG(P/1013.25). |
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171
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* |
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172
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* where TSL is the approximate sea-level air temperature in K |
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173
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* (see Astrophysical Quantities, C.W.Allen, 3rd edition, |
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174
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* section 52). Similarly, if the pressure P is not known, |
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175
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* it can be estimated from the height of the observing |
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176
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* station, HM, as follows: |
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177
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* |
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178
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* P ~ 1013.25*EXP(-HM/(29.3*TSL)). |
|
179
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* |
|
180
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* Note, however, that the refraction is nearly proportional to the |
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181
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* pressure and that an accurate P value is important for precise |
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182
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* work. |
|
183
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* |
|
184
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* - The azimuths etc. used by the present routine are with respect |
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185
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* to the celestial pole. Corrections from the terrestrial pole |
|
186
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* can be computed using palPolmo. |
|
187
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188
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* History: |
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189
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* 2012-08-27 (TIMJ): |
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190
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* Initial version, copied from Fortran SLA |
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191
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* Adapted with permission from the Fortran SLALIB library. |
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192
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* {enter_further_changes_here} |
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193
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194
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* Copyright: |
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195
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* Copyright (C) 2005 Patrick T. Wallace |
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196
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* Copyright (C) 2012 Science and Technology Facilities Council. |
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197
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* All Rights Reserved. |
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198
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199
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* Licence: |
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200
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* This program is free software; you can redistribute it and/or |
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201
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* modify it under the terms of the GNU General Public License as |
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202
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* published by the Free Software Foundation; either version 3 of |
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203
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* the License, or (at your option) any later version. |
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204
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* |
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* This program is distributed in the hope that it will be |
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* useful, but WITHOUT ANY WARRANTY; without even the implied |
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* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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208
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* PURPOSE. See the GNU General Public License for more details. |
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209
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* |
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210
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* You should have received a copy of the GNU General Public License |
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211
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* along with this program; if not, write to the Free Software |
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212
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
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* MA 02110-1301, USA. |
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215
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* Bugs: |
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216
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* {note_any_bugs_here} |
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*- |
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218
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*/ |
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219
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220
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#include "pal.h" |
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221
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222
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3
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void palOap ( const char *type, double ob1, double ob2, double date, |
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223
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double dut, double elongm, double phim, double hm, |
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224
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double xp, double yp, double tdk, double pmb, |
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225
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double rh, double wl, double tlr, |
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226
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double *rap, double *dap ) { |
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227
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228
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double aoprms[14]; |
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229
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230
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3
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palAoppa(date,dut,elongm,phim,hm,xp,yp,tdk,pmb,rh,wl,tlr, |
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231
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aoprms); |
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232
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3
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palOapqk(type,ob1,ob2,aoprms,rap,dap); |
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233
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234
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3
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} |