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package Astro::Montenbruck::Ephemeris; |
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88795
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use 5.22.0; |
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use strict; |
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use warnings; |
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no warnings qw/experimental/; |
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use Readonly; |
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use Module::Load; |
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3961
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use Memoize; |
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memoize qw/_create_constructor/; |
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use Exporter qw/import/; |
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our %EXPORT_TAGS = ( |
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all => [ qw/iterator find_positions/ ], |
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); |
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our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} }, ); |
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our $VERSION = 0.03; |
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use Math::Trig qw/deg2rad/; |
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13267
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use List::Util qw/any/; |
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use Astro::Montenbruck::Ephemeris::Planet qw/:ids/; |
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539
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384
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use Astro::Montenbruck::NutEqu qw/mean2true/; |
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use Astro::Montenbruck::MathUtils qw/diff_angle/; |
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2653
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Readonly our $DAY_IN_CENT => 1 / 36525; |
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# Factory function. Loads given class and returns function that wraps |
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# its constructor. |
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# |
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# Example: |
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# my $f = _create_constructor('Astro::Montenbruck::Ephemeris::Planets::Sun'); |
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# my $sun = $f->(); # instantiate the object |
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# my @pos = $sun->position($t); # calculate coordinates for the moment $t |
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sub _create_constructor { |
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my $pkg = shift; |
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load $pkg; |
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sub { $pkg->new(@_) } |
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} |
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42
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# shortcut for _create_constructor |
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sub _construct { |
44
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935
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935
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10231
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_create_constructor(join('::', qw/Astro Montenbruck Ephemeris/, @_)) |
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} |
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47
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48
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sub _iterator { |
49
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680
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680
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1092
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my $t = shift; |
50
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680
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983
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my $ids_ref = shift; |
51
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680
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948
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my @items = @{$ids_ref}; |
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680
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1442
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52
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680
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1446
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my %arg = @_; |
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54
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55
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680
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1598
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my $sun = _construct('Planet', $SU)->(); |
56
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680
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2018
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my @sun_pos = $sun->sunpos($t); |
57
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680
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9738
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my $sun_lbr = { |
58
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l => deg2rad($sun_pos[0]), |
59
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b => deg2rad($sun_pos[1]), |
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r => $sun_pos[2] |
61
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}; |
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63
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680
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9555
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my $nut_func = mean2true($t); |
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65
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# Calculate required position. Sun's coordinates are calculated only once. |
66
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my $get_position = sub { |
67
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696
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696
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1111
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my $id = shift; |
68
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696
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1105
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given ($id) { |
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696
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1533
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when ($SU) { |
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return [ |
71
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441
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3031
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$sun->apparent($t, \@sun_pos, $nut_func) |
72
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] |
73
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} |
74
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255
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1797
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when ($MO) { |
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219
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1243
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my $moo = _construct('Planet', $id)->(); |
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return [ |
77
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219
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899
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$moo->apparent([$moo->moonpos($t)], $nut_func) |
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] |
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} |
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36
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144
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default { |
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36
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68
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my $pla = _construct('Planet', $id)->(); |
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36
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106
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my @lbr = $pla->heliocentric($t); |
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# planets |
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return [ |
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36
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171
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$pla->apparent($t, \@lbr, $sun_lbr, $nut_func) |
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] |
87
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} |
88
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} |
89
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680
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2545
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}; |
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91
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sub { |
92
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702
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100
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702
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24973
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NEXT: |
93
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return unless @items; # no more items, stop iteration |
94
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698
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1315
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my $id = shift @items; |
95
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698
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100
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100
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3150
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goto NEXT if $id eq $PL && ($t < -1.1 || $t > 1.0); |
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100
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96
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696
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4495
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[ $id, $get_position->($id) ] |
97
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} |
98
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680
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2651
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} |
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100
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101
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sub iterator { |
102
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680
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680
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1
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13855
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my $t = shift; |
103
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680
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966
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my $ids_ref = shift; |
104
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680
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1891
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my %arg = (with_motion => 0, @_); |
105
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106
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680
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2233
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my $iter_1 = _iterator($t, $ids_ref, %arg); |
107
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680
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50
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3504
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return $iter_1 unless $arg{with_motion}; |
108
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109
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# to calculate mean daily motion, we need another iterator, for the next day |
110
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0
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0
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my $iter_2 = _iterator($t + $DAY_IN_CENT, $ids_ref, %arg); |
111
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112
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return sub { |
113
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0
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0
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0
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0
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my $res = $iter_1->() or return; |
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0
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0
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$res->[2] = diff_angle($res->[1]->[0], $iter_2->()->[1]->[0]); |
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0
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0
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$res |
116
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} |
117
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0
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0
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} |
118
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119
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sub find_positions { |
120
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1
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1
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1
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5396
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my $t = shift; |
121
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1
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2
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my $ids_ref = shift; |
122
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1
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2
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my $callback = shift; |
123
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124
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1
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3
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my $iter = iterator($t, $ids_ref, @_); |
125
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1
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3
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while ( my $res = $iter->() ) { |
126
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10
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163
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my ($id, $pos, $motion) = @$res; |
127
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10
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23
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$callback->( $id, @$pos, $motion ); |
128
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} |
129
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} |
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131
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132
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1; |
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__END__ |
134
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135
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=pod |
136
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137
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=encoding UTF-8 |
138
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139
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=head1 NAME |
140
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141
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Astro::Montenbruck::Ephemeris - calculate planetary positions. |
142
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143
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=head1 SYNOPSIS |
144
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145
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=head2 Iterator interface |
146
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147
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use Astro::Montenbruck::Ephemeris::Planet qw/@PLANETS/; |
148
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use Astro::Montenbruck::Ephemeris qw/iterator/; |
149
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use Data::Dumper; |
150
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151
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my $jd = 2458630.5; # Standard Julian date for May 27, 2019, 00:00 UTC. |
152
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my $t = ($jd - 2451545) / 36525; # Convert Julian date to centuries since epoch 2000.0 |
153
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# for better accuracy, convert $t to Ephemeris (Dynamic) time. |
154
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my $iter = iterator( $t, \@PLANETS ); # get iterator function for Sun. Moon and the planets. |
155
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156
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while ( my $result = $iter->() ) { |
157
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my ($id, $co) = @$result; |
158
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print $id, "\n", Dumper($co), "\n"; # geocentric longitude, latitude and distance from Earth |
159
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} |
160
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161
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=head2 Callback interface |
162
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163
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use Astro::Montenbruck::Ephemeris::Planet qw/@PLANETS/; |
164
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use Astro::Montenbruck::Ephemeris qw/find_positions/; |
165
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166
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my $jd = 2458630.5; # Standard Julian date for May 27, 2019, 00:00 UTC. |
167
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my $t = ($jd - 2451545) / 36525; # Convert Julian date to centuries since epoch 2000.0 |
168
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# for better accuracy, convert $t to Ephemeris (Dynamic) time. |
169
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170
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find_positions($t, \@PLANETS, sub { |
171
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my ($id, $lambda, $beta, $delta) = @_; |
172
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say "$id $lambda, $beta, $delta"; |
173
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}) |
174
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175
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176
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=head1 DESCRIPTION |
177
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178
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Calculates apparent geocentric ecliptic coordinates of the Sun, the Moon, and |
179
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the 8 planets. Algorithms are based on I<"Astronomy on the Personal Computer"> |
180
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by O.Montenbruck and Th.Pfleger. The results are supposed to be precise enough |
181
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for amateur's purposes: |
182
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183
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"The errors in the fundamental routines for determining the coordinates |
184
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of the Sun, the Moon, and the planets amount to about 1″-3″." |
185
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186
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-- Introduction to the 4-th edition, p.2. |
187
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188
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You may use one of two interfaces: iterator and callback. |
189
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190
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The coordinates are referred to the I<true equinox of date> and contain corrections |
191
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for I<precession>, I<nutation>, I<aberration> and I<light-time>. |
192
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193
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=head2 Implementation details |
194
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195
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This module is implemented as a "factory". User may not need all the planets |
196
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at once, so each class is loaded lazily, by demand. |
197
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198
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=head2 Mean daily motion |
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To calculate mean daily motion along with the celestial coordinates, use |
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C<with_motion> option: |
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iterator( $t, \@PLANETS, with_motion => 1 ); |
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# Or: |
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find_positions($t, \@PLANETS, $callback, with_motion => 1); |
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That will slow down the program. |
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=head2 Pluto |
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Pluto's position is calculated only between years B<1890> and B<2100>. |
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See L<Astro::Montenbruck::Ephemeris::Planet::Pluto>. |
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=head2 Universal Time vs Ephemeris Time |
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For better accuracy the time must be given in I<Ephemeris Time (ET)>. To convert |
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I<UT> to I<ET>, use C<delta_t> function from L<Astro::Montenbruck::Time::DeltaT> module. |
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=head1 SUBROUTINES |
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=head2 iterator($t, $ids, %options) |
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Returns iterator function, which, on its turn, when called returns either C<undef>, |
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when exhausted, or arrayref, containing: |
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=over |
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=item * |
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identifier of the celestial body, a string |
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=item * |
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arrayref, containing ecliptic coordinates: I<longitude> (arc-degrees), |
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I<latitude> (arc-degrees) and distance from Earth (AU). |
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=item * mean daily motion, double, if C<with_motion> option is I<true> |
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=back |
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=head3 Positional Arguments |
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=over |
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=item * |
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B<$t> — time in centuries since epoch 2000.0; for better precision UTC should be |
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converted to Ephemeris time, see L</Universal Time vs Ephemeris Time>. |
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=item * |
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B<$ids> — reference to an array of ids of celestial bodies to be calculated. |
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=back |
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=head3 Options |
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=over |
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=item * |
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B<with_motion> — optional flag; when set to I<true>, there is additional B<motion> |
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field in the result; I<false> by default. |
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=back |
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=head2 find_positions($t, $ids, $callback, %options) |
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The arguments and options are the same as for the L<iterator|/iterator($t, $ids, %options)>, |
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except the third argument, which is a B<callback function>, called on each iteration: |
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$callback->($id, $lambda, $beta, $delta [, $daily_motion]) |
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I<$lambda>, I<$beta>, I<$delta> are ecliptic coordinates: I<longitude> (arc-degrees), |
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I<latitude> (arc-degrees) and distance from Earth (AU). The fifth argument, |
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I<$daily_motion> is defined only when C<with_motion> option is on; it is the |
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mean daily motion (arc-degrees). |
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=head1 AUTHOR |
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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) 2010-2022 by Sergey Krushinsky |
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288
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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 |