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pod |
time |
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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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* palPertel |
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5
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6
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* Purpose: |
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7
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* Update elements by applying planetary perturbations |
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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 palPertel (int jform, double date0, double date1, |
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17
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* double epoch0, double orbi0, double anode0, |
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18
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* double perih0, double aorq0, double e0, double am0, |
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19
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* double *epoch1, double *orbi1, double *anode1, |
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20
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* double *perih1, double *aorq1, double *e1, double *am1, |
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21
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* int *jstat ); |
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22
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23
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* Arguments: |
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24
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* jform = int (Given) |
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25
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* Element set actually returned (1-3; Note 6) |
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26
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* date0 = double (Given) |
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27
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* Date of osculation (TT MJD) for the given elements. |
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28
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* date1 = double (Given) |
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29
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* Date of osculation (TT MJD) for the updated elements. |
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30
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* epoch0 = double (Given) |
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31
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* Epoch of elements (TT MJD) |
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32
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* orbi0 = double (Given) |
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33
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* inclination (radians) |
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34
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* anode0 = double (Given) |
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35
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* longitude of the ascending node (radians) |
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36
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* perih0 = double (Given) |
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37
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* longitude or argument of perihelion (radians) |
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38
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* aorq0 = double (Given) |
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39
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* mean distance or perihelion distance (AU) |
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40
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* e0 = double (Given) |
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41
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* eccentricity |
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42
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* am0 = double (Given) |
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43
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* mean anomaly (radians, JFORM=2 only) |
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44
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* epoch1 = double * (Returned) |
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45
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* Epoch of elements (TT MJD) |
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46
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* orbi1 = double * (Returned) |
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47
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* inclination (radians) |
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48
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* anode1 = double * (Returned) |
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49
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* longitude of the ascending node (radians) |
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50
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* perih1 = double * (Returned) |
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51
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* longitude or argument of perihelion (radians) |
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52
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* aorq1 = double * (Returned) |
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53
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* mean distance or perihelion distance (AU) |
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54
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* e1 = double * (Returned) |
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55
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* eccentricity |
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56
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* am1 = double * (Returned) |
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57
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* mean anomaly (radians, JFORM=2 only) |
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58
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* jstat = int * (Returned) |
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59
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* status: |
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60
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* - +102 = warning, distant epoch |
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61
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* - +101 = warning, large timespan ( > 100 years) |
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62
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* - +1 to +10 = coincident with planet (Note 6) |
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63
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* - 0 = OK |
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64
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* - -1 = illegal JFORM |
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65
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* - -2 = illegal E0 |
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66
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* - -3 = illegal AORQ0 |
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67
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* - -4 = internal error |
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68
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* - -5 = numerical error |
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69
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70
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* Description: |
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71
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* Update the osculating orbital elements of an asteroid or comet by |
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72
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* applying planetary perturbations. |
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73
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74
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* Authors: |
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75
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* PTW: Pat Wallace (STFC) |
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76
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* TIMJ: Tim Jenness (JAC, Hawaii) |
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77
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* {enter_new_authors_here} |
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78
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79
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* Notes: |
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80
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* - Two different element-format options are available: |
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81
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* |
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82
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* Option JFORM=2, suitable for minor 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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* ORBI = 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 = argument of perihelion, little omega (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 |
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90
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* AM = mean anomaly M (radians) |
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91
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* |
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92
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* Option JFORM=3, suitable for comets: |
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93
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* |
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94
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* EPOCH = epoch of perihelion (TT MJD) |
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95
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* ORBI = inclination i (radians) |
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96
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* ANODE = longitude of the ascending node, big omega (radians) |
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97
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* PERIH = argument of perihelion, little omega (radians) |
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98
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* AORQ = perihelion distance, q (AU) |
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99
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* E = eccentricity, e |
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100
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* |
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101
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* - DATE0, DATE1, EPOCH0 and EPOCH1 are all instants of time in |
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102
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* the TT timescale (formerly Ephemeris Time, ET), expressed |
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103
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* as Modified Julian Dates (JD-2400000.5). |
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104
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* |
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105
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* DATE0 is the instant at which the given (i.e. unperturbed) |
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106
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* osculating elements are correct. |
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107
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* |
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108
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* DATE1 is the specified instant at which the updated osculating |
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109
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* elements are correct. |
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110
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* |
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111
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* EPOCH0 and EPOCH1 will be the same as DATE0 and DATE1 |
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112
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* (respectively) for the JFORM=2 case, normally used for minor |
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113
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* planets. For the JFORM=3 case, the two epochs will refer to |
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114
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* perihelion passage and so will not, in general, be the same as |
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115
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* DATE0 and/or DATE1 though they may be similar to one another. |
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116
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* - The elements are with respect to the J2000 ecliptic and equinox. |
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117
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* - Unused elements (AM0 and AM1 for JFORM=3) are not accessed. |
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118
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* - See the palPertue routine for details of the algorithm used. |
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119
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* - This routine is not intended to be used for major planets, which |
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120
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* is why JFORM=1 is not available and why there is no opportunity |
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121
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* to specify either the longitude of perihelion or the daily |
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122
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* motion. However, if JFORM=2 elements are somehow obtained for a |
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123
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* major planet and supplied to the routine, sensible results will, |
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124
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* in fact, be produced. This happens because the palPertue routine |
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125
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* that is called to perform the calculations checks the separation |
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126
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* between the body and each of the planets and interprets a |
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127
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* suspiciously small value (0.001 AU) as an attempt to apply it to |
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128
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* the planet concerned. If this condition is detected, the |
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129
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* contribution from that planet is ignored, and the status is set to |
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130
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* the planet number (1-10 = Mercury, Venus, EMB, Mars, Jupiter, |
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131
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* Saturn, Uranus, Neptune, Earth, Moon) as a warning. |
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132
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* |
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133
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* See Also: |
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134
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* - Sterne, Theodore E., "An Introduction to Celestial Mechanics", |
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135
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* Interscience Publishers Inc., 1960. Section 6.7, p199. |
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136
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137
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* History: |
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138
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* 2012-03-12 (TIMJ): |
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139
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* Initial version direct conversion of SLA/F. |
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140
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* Adapted with permission from the Fortran SLALIB library. |
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141
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* {enter_further_changes_here} |
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142
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143
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* Copyright: |
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144
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* Copyright (C) 2004 Patrick T. Wallace |
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145
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* Copyright (C) 2012 Science and Technology Facilities Council. |
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146
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* All Rights Reserved. |
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147
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148
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* Licence: |
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149
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* This program is free software; you can redistribute it and/or |
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150
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* modify it under the terms of the GNU General Public License as |
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151
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* published by the Free Software Foundation; either version 3 of |
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152
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* the License, or (at your option) any later version. |
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153
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* |
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154
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* This program is distributed in the hope that it will be |
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155
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* useful, but WITHOUT ANY WARRANTY; without even the implied |
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156
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* warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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157
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* PURPOSE. See the GNU General Public License for more details. |
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158
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* |
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159
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* You should have received a copy of the GNU General Public License |
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160
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* along with this program; if not, write to the Free Software |
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161
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* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, |
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162
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* MA 02110-1301, USA. |
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163
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164
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* Bugs: |
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165
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* {note_any_bugs_here} |
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166
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*- |
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167
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*/ |
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168
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169
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#include "pal.h" |
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170
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171
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2
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void palPertel (int jform, double date0, double date1, |
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172
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double epoch0, double orbi0, double anode0, |
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173
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double perih0, double aorq0, double e0, double am0, |
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174
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double *epoch1, double *orbi1, double *anode1, |
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175
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double *perih1, double *aorq1, double *e1, double *am1, |
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176
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int *jstat ) { |
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177
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178
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double u[13], dm; |
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179
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int j, jf; |
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180
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181
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/* Check that the elements are either minor-planet or comet format. */ |
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182
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2
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50
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if (jform < 2 || jform > 3) { |
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183
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0
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*jstat = -1; |
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184
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0
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return; |
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185
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} else { |
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186
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187
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/* Provisionally set the status to OK. */ |
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188
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2
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*jstat = 0; |
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189
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} |
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190
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191
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/* Transform the elements from conventional to universal form. */ |
|
192
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2
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palEl2ue(date0,jform,epoch0,orbi0,anode0,perih0, |
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193
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aorq0,e0,am0,0.0,u,&j); |
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194
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2
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50
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if (j != 0) { |
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195
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0
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*jstat = j; |
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196
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0
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return; |
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197
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} |
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198
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199
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/* Update the universal elements. */ |
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200
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2
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palPertue(date1,u,&j); |
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201
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2
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50
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if (j > 0) { |
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202
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0
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*jstat = j; |
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203
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2
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50
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} else if (j < 0) { |
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204
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0
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*jstat = -5; |
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205
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0
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return; |
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206
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} |
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207
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208
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|
|
|
|
|
/* Transform from universal to conventional elements. */ |
|
209
|
2
|
|
|
|
|
|
palUe2el(u, jform, &jf, epoch1, orbi1, anode1, perih1, |
|
210
|
|
|
|
|
|
|
aorq1, e1, am1, &dm, &j); |
|
211
|
2
|
50
|
|
|
|
|
if (jf != jform || j != 0) *jstat = -5; |
|
|
|
50
|
|
|
|
|
|
|
212
|
|
|
|
|
|
|
} |