|  line  | 
 stmt  | 
 bran  | 
 cond  | 
 sub  | 
 pod  | 
 time  | 
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 package Astro::Montenbruck::Ephemeris::Planet::Neptune;  | 
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966
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 use strict;  | 
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 use base qw/Astro::Montenbruck::Ephemeris::Planet/;  | 
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 use Math::Trig qw/:pi/;  | 
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 use Astro::Montenbruck::Ephemeris::Pert qw/pert/;  | 
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 use Astro::Montenbruck::MathUtils qw /frac ARCS/;  | 
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 use Astro::Montenbruck::Ephemeris::Planet qw/$NE/;  | 
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2
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6
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    | 
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2
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1409
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12
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 our $VERSION = 0.02;  | 
| 
13
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    | 
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14
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 sub new {  | 
| 
15
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4
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4
  
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1
  
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9
 | 
     my $class = shift;  | 
| 
16
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4
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17
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     $class->SUPER::new( id => $NE );  | 
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17
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 }  | 
| 
18
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19
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 sub heliocentric {  | 
| 
20
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4
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4
  
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1
  
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9
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     my ( $self, $t ) = @_;  | 
| 
21
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    | 
| 
22
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     # Mean anomalies of planets in [rad]  | 
| 
23
 | 
4
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12
 | 
     my $m5 = pi2 * frac( 0.0563867 + 8.4298907 * $t );  | 
| 
24
 | 
4
 | 
 
 | 
 
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 | 
9
 | 
     my $m6 = pi2 * frac( 0.8825086 + 3.3957748 * $t );  | 
| 
25
 | 
4
 | 
 
 | 
 
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 | 
9
 | 
     my $m7 = pi2 * frac( 0.3965358 + 1.1902851 * $t );  | 
| 
26
 | 
4
 | 
 
 | 
 
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 | 
8
 | 
     my $m8 = pi2 * frac( 0.7214906 + 0.6068526 * $t );  | 
| 
27
 | 
 
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    | 
| 
28
 | 
4
 | 
 
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 | 
8
 | 
     my ( $dl, $dr, $db ) = ( 0, 0, 0 );    # Corrections in longitude ["],  | 
| 
29
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     my $pert_cb = sub {   | 
| 
30
 | 
140
 | 
 
 | 
 
 | 
  
140
  
 | 
 
 | 
174
 | 
         $dl += $_[0];   | 
| 
31
 | 
140
 | 
 
 | 
 
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 | 
158
 | 
         $dr += $_[1];   | 
| 
32
 | 
140
 | 
 
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 | 
191
 | 
         $db += $_[2]   | 
| 
33
 | 
4
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 | 
16
 | 
     };  | 
| 
34
 | 
 
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    | 
| 
35
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 | 
     # Perturbations by Jupiter  | 
| 
36
 | 
4
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 | 
12
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     my $term = pert(  | 
| 
37
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         T        => $t,  | 
| 
38
 | 
 
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         M        => $m8,  | 
| 
39
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         m        => $m5,  | 
| 
40
 | 
 
 | 
 
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         I_min    => 0,  | 
| 
41
 | 
 
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         I_max    => 2,  | 
| 
42
 | 
 
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         i_min    => -2,  | 
| 
43
 | 
 
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         i_max    => 0,  | 
| 
44
 | 
 
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         callback => $pert_cb  | 
| 
45
 | 
 
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 | 
     );  | 
| 
46
 | 
 
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    | 
| 
47
 | 
4
 | 
 
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 | 
15
 | 
     $term->( 0, -1, 0, 0.1,   0.1,   -3.0,  1.8,    -0.3, -0.3 );  | 
| 
48
 | 
4
 | 
 
 | 
 
 | 
 
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 | 
13
 | 
     $term->( 1, 0,  0, 0.0,   0.0,   -15.9, 9.0,    0.0,  0.0 );  | 
| 
49
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
     $term->( 1, -1, 0, -17.6, -29.3, 416.1, -250.0, 0.0,  0.0 );  | 
| 
50
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
40
 | 
     $term->( 1, -2, 0, -0.4,  -0.7,  10.4,  -6.2,   0.0,  0.0 );  | 
| 
51
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 2, -1, 0, -0.2,  -0.4,  2.4,   -1.4,   0.4,  -0.3 );  | 
| 
52
 | 
 
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    | 
| 
53
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
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 | 
     # Perturbations by Saturn  | 
| 
54
 | 
4
 | 
 
 | 
 
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 | 
12
 | 
     $term = pert(  | 
| 
55
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         T        => $t,  | 
| 
56
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         M        => $m8,  | 
| 
57
 | 
 
 | 
 
 | 
 
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 | 
 
 | 
         m        => $m6,  | 
| 
58
 | 
 
 | 
 
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 | 
         I_min    => 0,  | 
| 
59
 | 
 
 | 
 
 | 
 
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         I_max    => 2,  | 
| 
60
 | 
 
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         i_min    => -2,  | 
| 
61
 | 
 
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         i_max    => 0,  | 
| 
62
 | 
 
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         callback => $pert_cb  | 
| 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     );  | 
| 
64
 | 
 
 | 
 
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 | 
 
 | 
 
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    | 
| 
65
 | 
4
 | 
 
 | 
 
 | 
 
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 | 
15
 | 
     $term->( 0, -1, 0, -0.1, 0.0,   0.2,   -1.8,  -0.1, -0.5 );  | 
| 
66
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
17
 | 
     $term->( 1, 0,  0, 0.0,  0.0,   -8.3,  -10.4, 0.0,  0.0 );  | 
| 
67
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $term->( 1, -1, 0, 13.6, -12.7, 187.5, 201.1, 0.0,  0.0 );  | 
| 
68
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $term->( 1, -2, 0, 0.4,  -0.4,  4.5,   4.5,   0.0,  0.0 );  | 
| 
69
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
     $term->( 2, -1, 0, 0.4,  -0.1,  1.7,   -3.2,  0.2,  0.2 );  | 
| 
70
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
16
 | 
     $term->( 2, -2, 0, -0.1, 0.0,   -0.2,  2.7,   0.0,  0.0 );  | 
| 
71
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
72
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Perturbations by Uranus  | 
| 
73
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
     $term = pert(  | 
| 
74
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         T        => $t,  | 
| 
75
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         M        => $m8,  | 
| 
76
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         m        => $m7,  | 
| 
77
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         I_min    => 1,  | 
| 
78
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         I_max    => 6,  | 
| 
79
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         i_min    => -6,  | 
| 
80
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         i_max    => 0,  | 
| 
81
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
         callback => $pert_cb  | 
| 
82
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     );  | 
| 
83
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
16
 | 
     $term->( 1, 0,  0, 32.3, 3549.5, -25880.2, 235.8, -6360.5, 374.0 );  | 
| 
84
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
16
 | 
     $term->( 1, 0,  1, 31.2, 34.4,   -251.4,   227.4, 34.9,    29.3 );  | 
| 
85
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 1, 0,  2, -1.4, 3.9,    -28.6,    -10.1, 0.0,     -0.9 );  | 
| 
86
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
     $term->( 2, 0,  0, 6.1,  68.0,   -111.4,   2.0,   -54.7,   3.7 );  | 
| 
87
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
     $term->( 2, 0,  1, 0.8,  -0.2,   -2.1,     2.0,   -0.2,    0.8 );  | 
| 
88
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $term->( 3, 0,  0, 0.1,  1.0,    -0.7,     0.0,   -0.8,    0.1 );  | 
| 
89
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $term->( 0, -1, 0, -0.1, -0.3,   -3.6,     0.0,   0.0,     0.0 );  | 
| 
90
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 1, 0,  0, 0.0,  0.0,    5.5,      -6.9,  0.1,     0.0 );  | 
| 
91
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 1, -1, 0, -2.2, -1.6,   -116.3,   163.6, 0.0,     -0.1 );  | 
| 
92
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 1, -2, 0, 0.2,  0.1,    -1.2,     0.4,   0.0,     -0.1 );  | 
| 
93
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
51
 | 
     $term->( 2, -1, 0, 4.2,  -1.1,   -4.4,     -34.6, -0.2,    0.1 );  | 
| 
94
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $term->( 2, -2, 0, 8.6,  -2.9,   -33.4,    -97.0, 0.2,     0.1 );  | 
| 
95
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
     $term->( 3, -1, 0, 0.1,  -0.2,   2.1,      -1.2,  0.0,     0.1 );  | 
| 
96
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
     $term->( 3, -2, 0, -4.6, 9.3,    38.2,     19.8,  0.1,     0.1 );  | 
| 
97
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 3, -3, 0, -0.5, 1.7,    23.5,     7.0,   0.0,     0.0 );  | 
| 
98
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 4, -2, 0, 0.2,  0.8,    3.3,      -1.5,  -0.2,    -0.1 );  | 
| 
99
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $term->( 4, -3, 0, 0.9,  1.7,    17.9,     -9.1,  -0.1,    0.0 );  | 
| 
100
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $term->( 4, -4, 0, -0.4, -0.4,   -6.2,     4.8,   0.0,     0.0 );  | 
| 
101
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
21
 | 
     $term->( 5, -3, 0, -1.6, -0.5,   -2.2,     7.0,   0.0,     0.0 );  | 
| 
102
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12
 | 
     $term->( 5, -4, 0, -0.4, -0.1,   -0.7,     5.5,   0.0,     0.0 );  | 
| 
103
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
24
 | 
     $term->( 5, -5, 0, 0.2,  0.0,    0.0,      -3.5,  0.0,     0.0 );  | 
| 
104
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
40
 | 
     $term->( 6, -4, 0, -0.3, 0.2,    2.1,      2.7,   0.0,     0.0 );  | 
| 
105
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
9
 | 
     $term->( 6, -5, 0, 0.1,  -0.1,   -1.4,     -1.4,  0.0,     0.0 );  | 
| 
106
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
     $term->( 6, -6, 0, -0.1, 0.1,    1.4,      0.7,   0.0,     0.0 );  | 
| 
107
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
108
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     # Ecliptic coordinates ([rad],[AU])  | 
| 
109
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
14
 | 
     my $l =  | 
| 
110
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
       pi2 *  | 
| 
111
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
       frac( 0.1254046 + $m8 / pi2 +  | 
| 
112
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
           ( ( 4982.8 - 21.3 * $t ) * $t + $dl ) / 1296.0e3 );  | 
| 
113
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
9
 | 
     my $r = 30.072984 + ( 0.001234 + 0.000003 * $t ) * $t + $dr * 1.0e-5;  | 
| 
114
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     my $b = ( 54.77 + ( 0.26 + 0.06 * $t ) * $t + $db ) / ARCS;  | 
| 
115
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
116
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
30
 | 
     $l, $b, $r;  | 
| 
117
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
118
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
119
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
120
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 # Intermediate variables for calculating geocentric positions.  | 
| 
121
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub _lbr_geo {  | 
| 
122
 | 
4
 | 
 
 | 
 
 | 
  
4
  
 | 
 
 | 
7
 | 
     my ( $self, $t ) = @_;  | 
| 
123
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
124
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
     my $m  = pi2 * frac( 0.7214906 + 0.6068526 * $t );  | 
| 
125
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
8
 | 
     my $dl = 1.04 + 0.02 * cos($m);  | 
| 
126
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
     my $dr = 0.27 * sin($m);  | 
| 
127
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
7
 | 
     my $db = 0.03 * sin($m);  | 
| 
128
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
129
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10
 | 
     $dl, $db, $dr;  | 
| 
130
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
131
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
132
 | 
 
 | 
 
 | 
 
 | 
 
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 __END__  | 
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 =pod  | 
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 =encoding UTF-8  | 
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 Astro::Montenbruck::Ephemeris::Planet::Neptune - Neptune.  | 
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   use Astro::Montenbruck::Ephemeris::Planet::Neptune;  | 
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   my $planet = Astro::Montenbruck::Ephemeris::Planet::Neptune->new();  | 
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   my @geo = $planet->position($t); # apparent geocentric ecliptical coordinates  | 
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 Child class of L<Astro::Montenbruck::Ephemeris::Planet>, responsible for calculating  | 
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 B<Neptune> position.  | 
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 =head2 Astro::Montenbruck::Ephemeris::Planet::Neptune->new  | 
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 =head2 $self->heliocentric($t)  | 
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 See description in L<Astro::Montenbruck::Ephemeris::Planet>.  | 
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 Sergey Krushinsky, C<< <krushi at cpan.org> >>  | 
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 =head1 COPYRIGHT AND LICENSE  | 
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 Copyright (C) 2009-2022 by Sergey Krushinsky  | 
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 This library is free software; you can redistribute it and/or modify  | 
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 it under the same terms as Perl itself.  | 
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 =cut  |