| 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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* palPlante |
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5
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6
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* Purpose: |
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7
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* Topocentric RA,Dec of a Solar-System object from heliocentric orbital elements |
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8
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9
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* Language: |
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10
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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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13
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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 palPlante ( double date, double elong, double phi, int jform, |
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17
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* double epoch, double orbinc, double anode, double perih, |
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18
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* double aorq, double e, double aorl, double dm, |
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19
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* double *ra, double *dec, double *r, int *jstat ); |
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20
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21
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22
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* Description: |
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23
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* Topocentric apparent RA,Dec of a Solar-System object whose |
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24
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* heliocentric orbital elements are known. |
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25
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26
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* Arguments: |
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27
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* date = double (Given) |
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28
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* TT MJD of observation (JD-2400000.5) |
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29
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* elong = double (Given) |
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30
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* Observer's east longitude (radians) |
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31
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* phi = double (Given) |
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32
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* Observer's geodetic latitude (radians) |
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33
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* jform = int (Given) |
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34
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* Element set actually returned (1-3; Note 6) |
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35
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* epoch = double (Given) |
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36
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* Epoch of elements (TT MJD) |
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37
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* orbinc = double (Given) |
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38
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* inclination (radians) |
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39
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* anode = double (Given) |
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40
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* longitude of the ascending node (radians) |
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41
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* perih = double (Given) |
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42
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* longitude or argument of perihelion (radians) |
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43
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* aorq = double (Given) |
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44
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* mean distance or perihelion distance (AU) |
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45
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* e = double (Given) |
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46
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* eccentricity |
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47
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* aorl = double (Given) |
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48
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* mean anomaly or longitude (radians, JFORM=1,2 only) |
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49
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* dm = double (Given) |
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50
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* daily motion (radians, JFORM=1 only) |
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51
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* ra = double * (Returned) |
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52
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* Topocentric apparent RA (radians) |
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53
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* dec = double * (Returned) |
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54
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* Topocentric apparent Dec (radians) |
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55
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* r = double * (Returned) |
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56
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* Distance from observer (AU) |
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57
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* jstat = int * (Returned) |
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58
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* status: 0 = OK |
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59
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* - -1 = illegal jform |
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60
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* - -2 = illegal e |
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61
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* - -3 = illegal aorq |
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62
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* - -4 = illegal dm |
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63
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* - -5 = numerical error |
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64
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65
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* Authors: |
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66
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* PTW: Pat Wallace (STFC) |
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67
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* TIMJ: Tim Jenness (JAC, Hawaii) |
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68
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* {enter_new_authors_here} |
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69
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70
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* Notes: |
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71
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* - DATE is the instant for which the prediction is required. It is |
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72
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* in the TT timescale (formerly Ephemeris Time, ET) and is a |
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73
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* Modified Julian Date (JD-2400000.5). |
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74
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* - The longitude and latitude allow correction for geocentric |
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75
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* parallax. This is usually a small effect, but can become |
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76
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* important for near-Earth asteroids. Geocentric positions can be |
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77
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* generated by appropriate use of routines palEpv (or palEvp) and |
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78
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* palUe2pv. |
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79
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* - The elements are with respect to the J2000 ecliptic and equinox. |
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80
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* - A choice of three different element-set options is available: |
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81
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* |
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82
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* Option JFORM = 1, suitable for the major planets: |
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83
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* |
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84
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* EPOCH = epoch of elements (TT MJD) |
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85
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* ORBINC = inclination i (radians) |
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86
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* ANODE = longitude of the ascending node, big omega (radians) |
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87
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* PERIH = longitude of perihelion, curly pi (radians) |
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88
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* AORQ = mean distance, a (AU) |
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89
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* E = eccentricity, e (range 0 to <1) |
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90
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* AORL = mean longitude L (radians) |
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91
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* DM = daily motion (radians) |
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92
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* |
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93
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* Option JFORM = 2, suitable for minor planets: |
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94
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* |
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95
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* EPOCH = epoch of elements (TT MJD) |
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96
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* ORBINC = inclination i (radians) |
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97
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* ANODE = longitude of the ascending node, big omega (radians) |
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98
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* PERIH = argument of perihelion, little omega (radians) |
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99
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* AORQ = mean distance, a (AU) |
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100
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* E = eccentricity, e (range 0 to <1) |
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101
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* AORL = mean anomaly M (radians) |
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102
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* |
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103
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* Option JFORM = 3, suitable for comets: |
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104
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* |
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105
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* EPOCH = epoch of elements and perihelion (TT MJD) |
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106
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* ORBINC = inclination i (radians) |
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107
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* ANODE = longitude of the ascending node, big omega (radians) |
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108
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* PERIH = argument of perihelion, little omega (radians) |
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109
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* AORQ = perihelion distance, q (AU) |
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110
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* E = eccentricity, e (range 0 to 10) |
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111
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* |
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112
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* Unused arguments (DM for JFORM=2, AORL and DM for JFORM=3) are not |
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113
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* accessed. |
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114
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* - Each of the three element sets defines an unperturbed heliocentric |
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115
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* orbit. For a given epoch of observation, the position of the body |
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116
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* in its orbit can be predicted from these elements, which are |
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117
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* called "osculating elements", using standard two-body analytical |
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118
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* solutions. However, due to planetary perturbations, a given set |
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119
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* of osculating elements remains usable for only as long as the |
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120
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* unperturbed orbit that it describes is an adequate approximation |
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121
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* to reality. Attached to such a set of elements is a date called |
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122
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* the "osculating epoch", at which the elements are, momentarily, |
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123
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* a perfect representation of the instantaneous position and |
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124
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* velocity of the body. |
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125
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* |
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126
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* Therefore, for any given problem there are up to three different |
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127
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* epochs in play, and it is vital to distinguish clearly between |
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128
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* them: |
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129
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* |
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130
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* . The epoch of observation: the moment in time for which the |
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131
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* position of the body is to be predicted. |
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132
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* |
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133
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* . The epoch defining the position of the body: the moment in time |
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134
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* at which, in the absence of purturbations, the specified |
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135
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* position (mean longitude, mean anomaly, or perihelion) is |
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136
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* reached. |
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137
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* |
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138
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* . The osculating epoch: the moment in time at which the given |
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139
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* elements are correct. |
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140
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* |
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141
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* For the major-planet and minor-planet cases it is usual to make |
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142
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* the epoch that defines the position of the body the same as the |
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143
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* epoch of osculation. Thus, only two different epochs are |
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144
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* involved: the epoch of the elements and the epoch of observation. |
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145
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* |
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146
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* For comets, the epoch of perihelion fixes the position in the |
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147
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* orbit and in general a different epoch of osculation will be |
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148
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* chosen. Thus, all three types of epoch are involved. |
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149
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* |
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150
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* For the present routine: |
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151
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* |
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152
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* . The epoch of observation is the argument DATE. |
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153
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* |
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154
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* . The epoch defining the position of the body is the argument |
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155
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* EPOCH. |
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156
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* |
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157
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* . The osculating epoch is not used and is assumed to be close |
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158
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* enough to the epoch of observation to deliver adequate accuracy. |
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159
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* If not, a preliminary call to palPertel may be used to update |
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160
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* the element-set (and its associated osculating epoch) by |
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161
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* applying planetary perturbations. |
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162
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* - Two important sources for orbital elements are Horizons, operated |
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163
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* by the Jet Propulsion Laboratory, Pasadena, and the Minor Planet |
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164
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* Center, operated by the Center for Astrophysics, Harvard. |
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165
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* |
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166
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* The JPL Horizons elements (heliocentric, J2000 ecliptic and |
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167
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* equinox) correspond to PAL/SLALIB arguments as follows. |
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168
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* |
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169
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* Major planets: |
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170
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* |
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171
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* JFORM = 1 |
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172
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* EPOCH = JDCT-2400000.5 |
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173
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* ORBINC = IN (in radians) |
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174
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* ANODE = OM (in radians) |
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175
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* PERIH = OM+W (in radians) |
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176
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* AORQ = A |
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177
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* E = EC |
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178
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* AORL = MA+OM+W (in radians) |
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179
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* DM = N (in radians) |
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180
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* |
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181
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* Epoch of osculation = JDCT-2400000.5 |
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182
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* |
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183
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* Minor planets: |
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184
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* |
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185
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* JFORM = 2 |
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186
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* EPOCH = JDCT-2400000.5 |
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187
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* ORBINC = IN (in radians) |
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188
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* ANODE = OM (in radians) |
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189
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* PERIH = W (in radians) |
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190
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* AORQ = A |
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191
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* E = EC |
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192
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* AORL = MA (in radians) |
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193
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* |
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194
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* Epoch of osculation = JDCT-2400000.5 |
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195
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* |
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196
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* Comets: |
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197
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* |
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198
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* JFORM = 3 |
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199
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* EPOCH = Tp-2400000.5 |
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200
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* ORBINC = IN (in radians) |
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201
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* ANODE = OM (in radians) |
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202
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* PERIH = W (in radians) |
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203
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* AORQ = QR |
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204
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* E = EC |
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205
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* |
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206
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* Epoch of osculation = JDCT-2400000.5 |
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207
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* |
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208
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* The MPC elements correspond to SLALIB arguments as follows. |
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209
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* |
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210
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* Minor planets: |
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211
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* |
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212
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* JFORM = 2 |
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213
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* EPOCH = Epoch-2400000.5 |
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214
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* ORBINC = Incl. (in radians) |
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215
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* ANODE = Node (in radians) |
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216
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* PERIH = Perih. (in radians) |
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217
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* AORQ = a |
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218
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* E = e |
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219
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* AORL = M (in radians) |
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220
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* |
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221
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* Epoch of osculation = Epoch-2400000.5 |
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222
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* |
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223
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* Comets: |
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224
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* |
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225
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* JFORM = 3 |
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226
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* EPOCH = T-2400000.5 |
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227
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* ORBINC = Incl. (in radians) |
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228
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* ANODE = Node. (in radians) |
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229
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* PERIH = Perih. (in radians) |
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230
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* AORQ = q |
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231
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* E = e |
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232
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* |
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233
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* Epoch of osculation = Epoch-2400000.5 |
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234
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235
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* History: |
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236
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* 2012-03-12 (TIMJ): |
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237
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* Initial version direct conversion of SLA/F. |
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238
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* Adapted with permission from the Fortran SLALIB library. |
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239
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* {enter_further_changes_here} |
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240
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241
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* Copyright: |
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242
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* Copyright (C) 2004 Patrick T. Wallace |
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243
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* Copyright (C) 2012 Science and Technology Facilities Council. |
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244
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* All Rights Reserved. |
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245
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246
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* Licence: |
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247
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* This program is free software; you can redistribute it and/or |
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248
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* modify it under the terms of the GNU General Public License as |
|
249
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* published by the Free Software Foundation; either version 3 of |
|
250
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* the License, or (at your option) any later version. |
|
251
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* |
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252
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* This program is distributed in the hope that it will be |
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253
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* useful, but WITHOUT ANY WARRANTY; without even the implied |
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254
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* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
|
255
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* PURPOSE. See the GNU General Public License for more details. |
|
256
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* |
|
257
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* You should have received a copy of the GNU General Public License |
|
258
|
|
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* along with this program; if not, write to the Free Software |
|
259
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|
|
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
|
260
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* MA 02110-1301, USA. |
|
261
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|
262
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* Bugs: |
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263
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* {note_any_bugs_here} |
|
264
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|
*- |
|
265
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|
|
*/ |
|
266
|
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|
267
|
|
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|
|
#include "pal.h" |
|
268
|
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|
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|
269
|
1
|
|
|
|
|
|
void palPlante ( double date, double elong, double phi, int jform, |
|
270
|
|
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|
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|
|
double epoch, double orbinc, double anode, double perih, |
|
271
|
|
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|
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|
|
double aorq, double e, double aorl, double dm, |
|
272
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|
double *ra, double *dec, double *r, int *jstat ) { |
|
273
|
|
|
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|
274
|
|
|
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|
|
double u[13]; |
|
275
|
|
|
|
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|
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|
|
276
|
|
|
|
|
|
|
/* Transform conventional elements to universal elements */ |
|
277
|
1
|
|
|
|
|
|
palEl2ue( date, jform, epoch, orbinc, anode, perih, aorq, e, aorl, |
|
278
|
|
|
|
|
|
|
dm, u, jstat ); |
|
279
|
|
|
|
|
|
|
|
|
280
|
|
|
|
|
|
|
/* If succcessful, make the prediction */ |
|
281
|
1
|
50
|
|
|
|
|
if (*jstat == 0) palPlantu( date, elong, phi, u, ra, dec, r, jstat ); |
|
282
|
|
|
|
|
|
|
|
|
283
|
1
|
|
|
|
|
|
} |
|
284
|
|
|
|
|
|
|
|
|
285
|
|
|
|
|
|
|
|
|
286
|
|
|
|
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|
|