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package Astro::Montenbruck::Ephemeris::Planet::Uranus; |
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468
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use strict; |
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use warnings; |
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use base qw/Astro::Montenbruck::Ephemeris::Planet/; |
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60
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1
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5
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use Math::Trig qw/:pi/; |
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1
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104
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1
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6
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use Astro::Montenbruck::Ephemeris::Pert qw /pert/; |
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8
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40
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use Astro::Montenbruck::MathUtils qw /frac ARCS/; |
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6
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use Astro::Montenbruck::Ephemeris::Planet qw/$UR/; |
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1
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1029
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our $VERSION = 0.01; |
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sub new { |
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1
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my $class = shift; |
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$class->SUPER::new( id => $UR ); |
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} |
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sub heliocentric { |
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1
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my ( $self, $t ) = @_; |
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20
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21
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# Mean anomalies of planets in [rad] |
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2
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my $m5 = pi2 * frac( 0.0564472 + 8.4302889 * $t ); |
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2
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my $m6 = pi2 * frac( 0.8829611 + 3.3947583 * $t ); |
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2
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6
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my $m7 = pi2 * frac( 0.3967117 + 1.1902849 * $t ); |
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2
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my $m8 = pi2 * frac( 0.7216833 + 0.6068528 * $t ); |
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2
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my ( $dl, $dr, $db ) = ( 0, 0, 0 ); # Corrections in longitude ["], |
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my $pert_cb = sub { |
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140
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140
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166
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$dl += $_[0]; |
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140
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$dr += $_[1]; |
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140
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195
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$db += $_[2]; |
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2
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}; |
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34
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# Perturbations by Uranus |
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2
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my $term = pert( |
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T => $t, |
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37
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M => $m7, |
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38
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m => $m5, |
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39
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I_min => -1, |
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40
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I_max => 3, |
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41
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i_min => -2, |
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i_max => -1, |
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callback => $pert_cb |
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44
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); |
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45
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46
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2
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$term->( -1, -1, 0, 0.0, 0.0, -0.1, 1.7, -0.1, 0.0 ); |
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47
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2
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$term->( 0, -1, 0, 0.5, -1.2, 18.9, 9.1, -0.9, 0.1 ); |
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48
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2
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6
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$term->( 1, -1, 0, -21.2, 48.7, -455.5, -198.8, 0.0, 0.0 ); |
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49
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2
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6
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$term->( 1, -2, 0, -0.5, 1.2, -10.9, -4.8, 0.0, 0.0 ); |
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50
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2
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6
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$term->( 2, -1, 0, -1.3, 3.2, -23.2, -11.1, 0.3, 0.1 ); |
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51
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2
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6
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$term->( 2, -2, 0, -0.2, 0.2, 1.1, 1.5, 0.0, 0.0 ); |
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52
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2
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$term->( 3, -1, 0, 0.0, 0.2, -1.8, 0.4, 0.0, 0.0 ); |
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53
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54
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# Perturbations by Saturn |
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2
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$term = pert( |
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56
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T => $t, |
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57
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M => $m7, |
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58
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m => $m6, |
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59
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I_min => 0, |
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60
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I_max => 11, |
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61
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i_min => -6, |
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62
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i_max => 0, |
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63
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callback => $pert_cb |
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64
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); |
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65
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2
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10
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$term->( 0, -1, 0, 1.4, -0.5, -6.4, 9.0, -0.4, -0.8 ); |
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66
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2
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6
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$term->( 1, -1, 0, -18.6, -12.6, 36.7, -336.8, 1.0, 0.3 ); |
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67
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2
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6
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$term->( 1, -2, 0, -0.7, -0.3, 0.5, -7.5, 0.1, 0.0 ); |
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68
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2
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6
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$term->( 2, -1, 0, 20.0, -141.6, -587.1, -107.0, 3.1, -0.8 ); |
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69
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2
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6
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$term->( 2, -1, 1, 1.0, 1.4, 5.8, -4.0, 0.0, 0.0 ); |
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70
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2
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6
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$term->( 2, -2, 0, 1.6, -3.8, -35.6, -16.0, 0.0, 0.0 ); |
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71
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2
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6
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$term->( 3, -1, 0, 75.3, -100.9, 128.9, 77.5, -0.8, 0.1 ); |
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72
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2
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6
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$term->( 3, -1, 1, 0.2, 1.8, -1.9, 0.3, 0.0, 0.0 ); |
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73
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2
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6
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$term->( 3, -2, 0, 2.3, -1.3, -9.5, -17.9, 0.0, 0.1 ); |
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74
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2
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6
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$term->( 3, -3, 0, -0.7, -0.5, -4.9, 6.8, 0.0, 0.0 ); |
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75
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2
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6
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$term->( 4, -1, 0, 3.4, -5.0, 21.6, 14.3, -0.8, -0.5 ); |
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76
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2
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6
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$term->( 4, -2, 0, 1.9, 0.1, 1.2, -12.1, 0.0, 0.0 ); |
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77
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2
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6
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$term->( 4, -3, 0, -0.1, -0.4, -3.9, 1.2, 0.0, 0.0 ); |
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78
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2
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5
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$term->( 4, -4, 0, -0.2, 0.1, 1.6, 1.8, 0.0, 0.0 ); |
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79
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2
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4
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$term->( 5, -1, 0, 0.2, -0.3, 1.0, 0.6, -0.1, 0.0 ); |
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80
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2
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6
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$term->( 5, -2, 0, -2.2, -2.2, -7.7, 8.5, 0.0, 0.0 ); |
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81
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2
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6
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$term->( 5, -3, 0, 0.1, -0.2, -1.4, -0.4, 0.0, 0.0 ); |
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82
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2
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5
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$term->( 5, -4, 0, -0.1, 0.0, 0.1, 1.2, 0.0, 0.0 ); |
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83
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2
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5
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$term->( 6, -2, 0, -0.2, -0.6, 1.4, -0.7, 0.0, 0.0 ); |
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84
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85
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# Keplerian motion and perturbations by Neptune |
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86
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2
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6
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$term = pert( |
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87
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T => $t, |
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88
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M => $m7, |
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89
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m => $m8, |
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90
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I_min => -1, |
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91
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I_max => 7, |
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92
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i_min => -8, |
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93
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i_max => 0, |
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94
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callback => $pert_cb |
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95
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); |
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96
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97
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2
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9
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$term->( 1, 0, 0, -78.1, 19518.1, -90718.2, -334.7, 2759.5, -311.9 ); |
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98
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2
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7
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$term->( 1, 0, 1, -81.6, 107.7, -497.4, -379.5, -2.8, -43.7 ); |
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99
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2
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8
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$term->( 1, 0, 2, -6.6, -3.1, 14.4, -30.6, -0.4, -0.5 ); |
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100
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2
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6
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$term->( 1, 0, 3, 0.0, -0.5, 2.4, 0.0, 0.0, 0.0 ); |
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101
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2
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5
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$term->( 2, 0, 0, -2.4, 586.1, -2145.2, -15.3, 130.6, -14.3 ); |
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102
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2
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7
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$term->( 2, 0, 1, -4.5, 6.6, -24.2, -17.8, 0.7, -1.6 ); |
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103
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2
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6
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$term->( 2, 0, 2, -0.4, 0.0, 0.1, -1.4, 0.0, 0.0 ); |
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104
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2
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5
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$term->( 3, 0, 0, 0.0, 24.5, -76.2, -0.6, 7.0, -0.7 ); |
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105
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2
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4
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$term->( 3, 0, 1, -0.2, 0.4, -1.4, -0.8, 0.1, -0.1 ); |
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106
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2
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4
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$term->( 4, 0, 0, 0.0, 1.1, -3.0, 0.1, 0.4, 0.0 ); |
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107
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2
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6
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$term->( -1, -1, 0, -0.2, 0.2, 0.7, 0.7, -0.1, 0.0 ); |
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108
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2
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6
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$term->( 0, -1, 0, -2.8, 2.5, 8.7, 10.5, -0.4, -0.1 ); |
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109
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2
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7
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$term->( 1, -1, 0, -28.4, 20.3, -51.4, -72.0, 0.0, 0.0 ); |
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110
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2
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7
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$term->( 1, -2, 0, -0.6, -0.1, 4.2, -14.6, 0.2, 0.4 ); |
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111
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2
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5
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$term->( 1, -3, 0, 0.2, 0.5, 3.4, -1.6, -0.1, 0.1 ); |
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112
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2
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5
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$term->( 2, -1, 0, -1.8, 1.3, -5.5, -7.7, 0.0, 0.3 ); |
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113
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2
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5
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$term->( 2, -2, 0, 29.4, 10.2, -29.0, 83.2, 0.0, 0.0 ); |
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114
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2
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4
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$term->( 2, -3, 0, 8.8, 17.8, -41.9, 21.5, -0.1, -0.3 ); |
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115
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2
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4
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$term->( 2, -4, 0, 0.0, 0.1, -2.1, -0.9, 0.1, 0.0 ); |
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116
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2
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5
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$term->( 3, -2, 0, 1.5, 0.5, -1.7, 5.1, 0.1, -0.2 ); |
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117
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2
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6
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$term->( 3, -3, 0, 4.4, 14.6, -84.3, 25.2, 0.1, -0.1 ); |
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118
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2
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6
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$term->( 3, -4, 0, 2.4, -4.5, 12.0, 6.2, 0.0, 0.0 ); |
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119
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2
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6
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$term->( 3, -5, 0, 2.9, -0.9, 2.1, 6.2, 0.0, 0.0 ); |
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120
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2
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6
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$term->( 4, -3, 0, 0.3, 1.0, -4.0, 1.1, 0.1, -0.1 ); |
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121
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2
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5
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$term->( 4, -4, 0, 2.1, -2.7, 17.9, 14.0, 0.0, 0.0 ); |
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122
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2
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6
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$term->( 4, -5, 0, 3.0, -0.4, 2.3, 17.6, -0.1, -0.1 ); |
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123
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2
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6
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$term->( 4, -6, 0, -0.6, -0.5, 1.1, -1.6, 0.0, 0.0 ); |
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124
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2
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6
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$term->( 5, -4, 0, 0.2, -0.2, 1.0, 0.8, 0.0, 0.0 ); |
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125
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2
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5
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$term->( 5, -5, 0, -0.9, -0.1, 0.6, -7.1, 0.0, 0.0 ); |
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126
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2
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4
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$term->( 5, -6, 0, -0.5, -0.6, 3.8, -3.6, 0.0, 0.0 ); |
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127
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2
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6
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$term->( 5, -7, 0, 0.0, -0.5, 3.0, 0.1, 0.0, 0.0 ); |
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128
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2
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5
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$term->( 6, -6, 0, 0.2, 0.3, -2.7, 1.6, 0.0, 0.0 ); |
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129
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2
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5
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$term->( 6, -7, 0, -0.1, 0.2, -2.0, -0.4, 0.0, 0.0 ); |
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130
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2
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5
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$term->( 7, -7, 0, 0.1, -0.2, 1.3, 0.5, 0.0, 0.0 ); |
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131
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2
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4
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$term->( 7, -8, 0, 0.1, 0.0, 0.4, 0.9, 0.0, 0.0 ); |
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132
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133
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# Perturbations by Uranus and Uranus |
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134
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2
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6
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$term = pert( |
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135
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T => $t, |
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136
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M => $m7, |
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137
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m => $m6, |
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138
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I_min => -2, |
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139
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I_max => 4, |
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140
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i_min => -6, |
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141
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i_max => -4, |
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142
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phi => 2 * $m5, |
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143
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callback => $pert_cb |
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144
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); |
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145
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146
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2
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8
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$term->( -2, -4, 0, -0.7, 0.4, -1.5, -2.5, 0.0, 0.0 ); |
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147
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2
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6
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$term->( -1, -4, 0, -0.1, -0.1, -2.2, 1.0, 0.0, 0.0 ); |
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148
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2
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4
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$term->( 1, -5, 0, 0.1, -0.4, 1.4, 0.2, 0.0, 0.0 ); |
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149
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2
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5
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$term->( 1, -6, 0, 0.4, 0.5, -0.8, -0.8, 0.0, 0.0 ); |
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150
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2
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5
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$term->( 2, -6, 0, 5.7, 6.3, 28.5, -25.5, 0.0, 0.0 ); |
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151
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2
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6
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$term->( 2, -6, 1, 0.1, -0.2, -1.1, -0.6, 0.0, 0.0 ); |
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152
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2
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7
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$term->( 3, -6, 0, -1.4, 29.2, -11.4, 1.1, 0.0, 0.0 ); |
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153
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2
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6
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$term->( 3, -6, 1, 0.8, -0.4, 0.2, 0.3, 0.0, 0.0 ); |
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154
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2
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4
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$term->( 4, -6, 0, 0.0, 1.3, -6.0, -0.1, 0.0, 0.0 ); |
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155
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156
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# Ecliptic coordinates ([rad],[AU]) |
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157
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158
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2
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9
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my $l = |
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159
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pi2 * |
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160
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frac( 0.4734843 + $m7 / pi2 + |
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161
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( ( 5082.3 + 34.2 * $t ) * $t + $dl ) / 1296.0e3 ); |
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162
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2
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5
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my $r = 19.211991 + ( -0.000333 - 0.000005 * $t ) * $t + $dr * 1.0e-5; |
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163
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2
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4
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my $b = ( -130.61 + ( -0.54 + 0.04 * $t ) * $t + $db ) / ARCS; |
|
164
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165
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2
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14
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$l, $b, $r; |
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166
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167
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} |
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168
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169
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# Intermediate variables for calculating geocentric positions. |
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170
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sub _lbr_geo { |
|
171
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2
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2
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5
|
my ( $self, $t ) = @_; |
|
172
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|
173
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2
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6
|
my $m = pi2 * frac( 0.3967117 + 1.1902849 * $t ); |
|
174
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2
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4
|
my $sm = sin($m); |
|
175
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2
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3
|
my $dl = 2.05 + 0.19 * cos($m); |
|
176
|
2
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|
4
|
my $dr = 1.86 * $sm; |
|
177
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2
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|
4
|
my $db = -0.03 * $sm; |
|
178
|
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|
179
|
2
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|
4
|
$dl, $db, $dr; |
|
180
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|
} |
|
181
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182
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1; |
|
183
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|
184
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|
__END__ |
|
185
|
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|
186
|
|
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|
|
=pod |
|
187
|
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|
188
|
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|
|
|
=encoding UTF-8 |
|
189
|
|
|
|
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|
|
|
|
190
|
|
|
|
|
|
|
=head1 NAME |
|
191
|
|
|
|
|
|
|
|
|
192
|
|
|
|
|
|
|
Astro::Montenbruck::Ephemeris::Planet::Uranus - Uranus. |
|
193
|
|
|
|
|
|
|
|
|
194
|
|
|
|
|
|
|
=head1 SYNOPSIS |
|
195
|
|
|
|
|
|
|
|
|
196
|
|
|
|
|
|
|
use Astro::Montenbruck::Ephemeris::Planet::Uranus; |
|
197
|
|
|
|
|
|
|
my $planet = Astro::Montenbruck::Ephemeris::Planet::Uranus->new(); |
|
198
|
|
|
|
|
|
|
my @geo = $planet->position($t); # apparent geocentric ecliptical coordinates |
|
199
|
|
|
|
|
|
|
|
|
200
|
|
|
|
|
|
|
=head1 DESCRIPTION |
|
201
|
|
|
|
|
|
|
|
|
202
|
|
|
|
|
|
|
Child class of L<Astro::Montenbruck::Ephemeris::Planet>, responsible for calculating |
|
203
|
|
|
|
|
|
|
B<Uranus> position. |
|
204
|
|
|
|
|
|
|
|
|
205
|
|
|
|
|
|
|
=head1 METHODS |
|
206
|
|
|
|
|
|
|
|
|
207
|
|
|
|
|
|
|
=head2 Astro::Montenbruck::Ephemeris::Planet::Uranus->new |
|
208
|
|
|
|
|
|
|
|
|
209
|
|
|
|
|
|
|
Constructor. |
|
210
|
|
|
|
|
|
|
|
|
211
|
|
|
|
|
|
|
=head2 $self->heliocentric($t) |
|
212
|
|
|
|
|
|
|
|
|
213
|
|
|
|
|
|
|
See description in L<Astro::Montenbruck::Ephemeris::Planet>. |
|
214
|
|
|
|
|
|
|
|
|
215
|
|
|
|
|
|
|
|
|
216
|
|
|
|
|
|
|
=head1 AUTHOR |
|
217
|
|
|
|
|
|
|
|
|
218
|
|
|
|
|
|
|
Sergey Krushinsky, C<< <krushi at cpan.org> >> |
|
219
|
|
|
|
|
|
|
|
|
220
|
|
|
|
|
|
|
=head1 COPYRIGHT AND LICENSE |
|
221
|
|
|
|
|
|
|
|
|
222
|
|
|
|
|
|
|
Copyright (C) 2009-2019 by Sergey Krushinsky |
|
223
|
|
|
|
|
|
|
|
|
224
|
|
|
|
|
|
|
This library is free software; you can redistribute it and/or modify |
|
225
|
|
|
|
|
|
|
it under the same terms as Perl itself. |
|
226
|
|
|
|
|
|
|
|
|
227
|
|
|
|
|
|
|
=cut |