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package Astro::Coords::Elements; |
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=head1 NAME |
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Astro::Coords::Elements - Specify astronomical coordinates using orbital elements |
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=head1 SYNOPSIS |
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$c = new Astro::Coords::Elements( elements => \%elements ); |
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=head1 DESCRIPTION |
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This class is used by C<Astro::Coords> for handling coordinates |
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specified as orbital elements. |
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=cut |
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8524804
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use 5.006; |
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use strict; |
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use warnings; |
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use Carp; |
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our $VERSION = '0.20'; |
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# Need working palPlante |
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use Astro::PAL 0.95 (); |
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use Astro::Coords::Angle; |
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use Time::Piece qw/ :override /; |
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use base qw/ Astro::Coords /; |
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use overload '""' => "stringify"; |
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=head1 METHODS |
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=head2 Constructor |
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=over 4 |
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=item B<new> |
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Instantiate a new object using the supplied options. |
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$c = new Astro::Coords::Elements( elements => \%elements ); |
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$c = new Astro::Coords::Elements( elements => \@array ); |
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Returns undef on error. |
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The elements can be specified either by using a reference to an array |
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returned by the C<array()> method of another elements object or in a |
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reference to a hash containing the following keys: |
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suitable for the major planets: |
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EPOCH = epoch of elements t0 (TT MJD) |
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ORBINC = inclination i (radians) |
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ANODE = longitude of the ascending node [$\Omega$] (radians) |
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PERIH = longitude of perihelion [$\varpi$] (radians) |
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AORQ = mean distance a (AU) |
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E = eccentricity e |
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AORL = mean longitude L (radians) |
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DM = daily motion n (radians) |
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suitable for minor planets: |
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EPOCH = epoch of elements t0 (TT MJD) |
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ORBINC = inclination i (radians) |
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ANODE = longitude of the ascending node [$\Omega$] (radians) |
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PERIH = argument of perihelion [$\omega$] (radians) |
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AORQ = mean distance a (AU) |
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E = eccentricity e |
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AORL = mean anomaly M (radians) |
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suitable for comets: |
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EPOCH = epoch of elements t0 (TT MJD) |
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ORBINC = inclination i (radians) |
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ANODE = longitude of the ascending node [$\Omega$] (radians) |
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PERIH = argument of perihelion [$\omega$] (radians) |
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AORQ = perihelion distance q (AU) |
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E = eccentricity e |
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EPOCHPERIH = epoch of perihelion T (TT MJD) |
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See the documentation to palPlante() and palPertel() for more information. |
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Keys must be upper case. |
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For comets if the only one epoch is specified it is assumed that the |
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epochs are identical. This may cause problems if the epochs are not |
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really close to each other. |
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In order to better match normal usage, EPOCH can also be specified |
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as a string of the form 'YYYY mmm D.frac' (e.g. '1997 Apr 1.567'). |
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(no decimal place after the month). This is the format used by JPL. |
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=cut |
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101
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sub new { |
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1
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my $proto = shift; |
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my $class = ref($proto) || $proto; |
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105
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5
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18
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my %opts = @_; |
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107
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# "elements" key must be defined and point to a reference |
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5
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50
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33
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return undef unless (exists $opts{elements} && ref($opts{elements})); |
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110
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# We allow use of an array reference or a hash |
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# The array ref is converted to a hash |
112
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5
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11
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my %elements; |
113
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5
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100
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33
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31
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if (ref($opts{elements}) eq 'HASH') { |
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50
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114
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4
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10
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%elements = %{ $opts{elements} }; |
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37
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115
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} elsif (ref($opts{elements}) eq 'ARRAY' && |
116
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$opts{elements}->[0] eq 'ELEMENTS') { |
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118
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1
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4
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my $i = 3; |
119
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1
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4
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for my $key (qw/ EPOCH ORBINC ANODE PERIH AORQ E AORL /) { |
120
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7
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13
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$elements{$key} = $opts{elements}->[$i]; |
121
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7
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10
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$i++; |
122
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} |
123
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# assign EPOCHPERIH |
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1
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50
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33
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7
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if (!defined $elements{AORL} && defined $opts{elements}->[$i]) { |
125
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1
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3
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$elements{EPOCHPERIH} = $opts{elements}->[$i]; |
126
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} else { |
127
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0
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0
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$elements{DM} = $opts{elements}->[$i]; |
128
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} |
129
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130
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} else { |
131
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0
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0
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return undef; |
132
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} |
133
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134
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# Sanity check |
135
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5
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20
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for (qw/ ORBINC ANODE PERIH AORQ E/) { |
136
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#return undef unless exists $elements{$_}; |
137
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croak "Must supply element $_ to constructor" |
138
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25
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50
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61
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unless exists $elements{$_}; |
139
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} |
140
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141
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# Fix up EPOCHs if it has been specified as a string |
142
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5
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13
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for my $key (qw/ EPOCH EPOCHPERIH / ) { |
143
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10
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50
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29
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next unless exists $elements{$key}; |
144
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10
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19
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my $epoch = $elements{$key}; |
145
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146
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# if we are missing one of the EPOCHs that is okay |
147
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# so just skip |
148
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10
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50
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27
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if (! defined $epoch) { |
149
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# and delete it from the hash as if it was never supplied |
150
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# this avoids complications later |
151
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0
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0
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delete $elements{$key}; |
152
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0
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0
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next; |
153
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} |
154
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155
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10
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100
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100
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137
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if ($epoch =~ /^\d+\.\d+$/ || $epoch =~ /^\d+$/) { |
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50
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156
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# an MJD so do not modify |
157
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} elsif ($epoch =~ /\d\d\d\d \w\w\w \d+\.\d+/) { |
158
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# has letters in it so try to parse |
159
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# Split on decimal point |
160
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2
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9
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my ($date, $frac) = split(/\./,$epoch,2); |
161
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2
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6
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$frac = "0.". $frac; # preserve as decimal fraction |
162
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2
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5
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my $format = '%Y %b %d'; |
163
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#print "EPOCH : $epoch and $date and $frac\n"; |
164
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2
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8
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my $obj = Time::Piece->strptime($date, $format); |
165
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2
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164
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my $tzoffset = $obj->tzoffset; |
166
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2
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50
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41
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$tzoffset = $tzoffset->seconds if defined $tzoffset; |
167
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2
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53
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$obj = gmtime($obj->epoch() + $tzoffset); |
168
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169
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# get the MJD and add on the fraction |
170
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2
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168
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my $mjd = $obj->mjd() + $frac; |
171
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2
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86
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$elements{$key} = $mjd; |
172
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#print "MJD: $mjd\n"; |
173
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174
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} else { |
175
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# do not understand the format so return undef |
176
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0
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0
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warn "Unable to recognize format for elements $key [$epoch]"; |
177
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0
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0
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return undef; |
178
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} |
179
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180
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# Convert JD to MJD |
181
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10
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50
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46
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if ($elements{$key} > 2400000.5) { |
182
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0
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0
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$elements{$key} -= 2400000.5; |
183
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} |
184
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185
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} |
186
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187
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# but complain if we do not have one of them |
188
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croak "Must supply one of EPOCH or EPOCHPERIH - both were undefined" |
189
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if (!exists $elements{EPOCH} && |
190
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5
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0
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33
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19
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!exists $elements{EPOCHPERIH}); |
191
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192
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# create the object |
193
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5
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38
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bless { elements => \%elements, name => $opts{name} }, $class; |
194
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195
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} |
196
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197
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198
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199
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=back |
200
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201
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=head2 Accessor Methods |
202
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203
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=over 4 |
204
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205
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=item B<elements> |
206
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207
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Returns the hash containing the elements. |
208
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209
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%el = $c->elements; |
210
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211
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=cut |
212
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213
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sub elements { |
214
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26
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26
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1
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258
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my $self = shift; |
215
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41
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return %{ $self->{elements}}; |
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26
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183
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216
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} |
217
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218
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=back |
219
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220
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=head1 General Methods |
221
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222
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=over 4 |
223
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224
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=item B<array> |
225
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226
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Return back 11 element array with first element containing the |
227
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string "ELEMENTS", the next two elements as undef and up to 8 |
228
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following elements containing the orbital elements in the order |
229
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presented in the documentation of the constructor. |
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231
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This method returns a standardised set of elements across all |
232
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types of coordinates. |
233
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234
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Note that for JFORM=3 (Comet) case the epoch of perihelion |
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is stored as the 8th element (the epoch of the elements is still |
236
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returned as the first element) [corresponding to array index 10]. |
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This usage of the final element can be determined by noting that |
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the element before it (AORL) will be undefined in the case of JFORM=3. |
239
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If AORL is defined then the Epoch of perihelion will not be written |
240
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even if it is defined. |
241
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242
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=cut |
243
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244
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sub array { |
245
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1
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1
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1
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110
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my $self = shift; |
246
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1
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4
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my %el = $self->elements; |
247
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248
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# use EPOCHPERIH if EPOCH is not defined |
249
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1
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4
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my $epoch = $el{EPOCH}; |
250
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1
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50
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5
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$epoch = $el{EPOCHPERIH} unless $epoch; |
251
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252
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# the 8th element can be the EPOCHPERIH or DM field |
253
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# dependent on the element type. |
254
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1
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3
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my $lastel; |
255
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1
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50
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33
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10
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if (defined $el{EPOCHPERIH} && !defined $el{DM} |
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33
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256
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&& !defined $el{AORL}) { |
257
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1
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2
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$lastel = $el{EPOCHPERIH}; |
258
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} else { |
259
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0
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0
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$lastel = $el{DM}; |
260
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} |
261
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262
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return ( $self->type, undef, undef, |
263
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$epoch, $el{ORBINC}, $el{ANODE}, $el{PERIH}, |
264
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1
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4
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$el{AORQ}, $el{E}, $el{AORL}, $lastel); |
265
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} |
266
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267
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=item B<type> |
268
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269
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Returns the generic type associated with the coordinate system. |
270
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For this class the answer is always "ELEMENTS". |
271
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272
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This is used to aid construction of summary tables when using |
273
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mixed coordinates. |
274
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275
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It could be done using isa relationships. |
276
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277
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=cut |
278
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279
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sub type { |
280
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3
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3
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1
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20
|
return "ELEMENTS"; |
281
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} |
282
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283
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=item B<stringify> |
284
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285
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Stringify overload. Returns comma-separated list of |
286
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the elements. |
287
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288
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=cut |
289
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290
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sub stringify { |
291
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4
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4
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1
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491
|
my $self = shift; |
292
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4
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15
|
my %el = $self->elements; |
293
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4
|
100
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17
|
my $str = join(",", map { (defined $_ ? $_ : 'UNDEF' ) } values %el); |
|
29
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127
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294
|
4
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22
|
return $str; |
295
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} |
296
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297
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|
=item B<summary> |
298
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299
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|
Return a one line summary of the coordinates. |
300
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|
In the future will accept arguments to control output. |
301
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302
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|
$summary = $c->summary(); |
303
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304
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|
=cut |
305
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306
|
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|
sub summary { |
307
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0
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0
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1
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0
|
my $self = shift; |
308
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0
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0
|
my $name = $self->name; |
309
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0
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0
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0
|
$name = '' unless defined $name; |
310
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0
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0
|
return sprintf("%-16s %-12s %-11s ELEMENTS",$name,'',''); |
311
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|
} |
312
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313
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|
=item B<apparent> |
314
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315
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|
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|
|
Return the apparent RA and Dec (as two C<Astro::Coords::Angle> |
316
|
|
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|
|
objects) for the current coordinates and time. Includes perterbation |
317
|
|
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|
|
corrections to convert the elements to the required epoch. |
318
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319
|
|
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|
Returns empty list on error. |
320
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321
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|
=cut |
322
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323
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|
sub apparent { |
324
|
23
|
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23
|
1
|
43
|
my $self = shift; |
325
|
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326
|
23
|
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|
59
|
my ($ra_app,$dec_app) = $self->_cache_read( "RA_APP", "DEC_APP" ); |
327
|
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|
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|
328
|
|
|
|
|
|
|
# not in cache so must calculate it |
329
|
23
|
100
|
66
|
|
|
70
|
if (!defined $ra_app || !defined $dec_app) { |
330
|
|
|
|
|
|
|
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331
|
20
|
|
|
|
|
54
|
my $tel = $self->telescope; |
332
|
20
|
100
|
|
|
|
81
|
my $long = (defined $tel ? $tel->long : 0.0 ); |
333
|
20
|
100
|
|
|
|
159
|
my $lat = (defined $tel ? $tel->lat : 0.0 ); |
334
|
20
|
|
|
|
|
148
|
my %el = $self->elements; |
335
|
20
|
|
|
|
|
45
|
my $jform; |
336
|
20
|
50
|
33
|
|
|
133
|
if (exists $el{DM} and defined $el{DM}) { |
|
|
50
|
66
|
|
|
|
|
337
|
|
|
|
|
|
|
# major planets |
338
|
0
|
|
|
|
|
0
|
$jform = 1; |
339
|
|
|
|
|
|
|
} elsif (exists $el{AORL} and defined $el{AORL}) { |
340
|
|
|
|
|
|
|
# minor planets |
341
|
0
|
|
|
|
|
0
|
$jform = 2; |
342
|
0
|
|
|
|
|
0
|
$el{DM} = 0; |
343
|
|
|
|
|
|
|
} else { |
344
|
|
|
|
|
|
|
# comets |
345
|
20
|
|
|
|
|
41
|
$jform = 3; |
346
|
20
|
|
|
|
|
41
|
$el{DM} = 0; |
347
|
20
|
|
|
|
|
33
|
$el{AORL} = 0; |
348
|
|
|
|
|
|
|
} |
349
|
|
|
|
|
|
|
|
350
|
|
|
|
|
|
|
# synch epoch if need be |
351
|
20
|
50
|
33
|
|
|
102
|
if (!exists $el{EPOCH} || !exists $el{EPOCHPERIH}) { |
352
|
0
|
0
|
|
|
|
0
|
if (exists $el{EPOCH}) { |
353
|
0
|
|
|
|
|
0
|
$el{EPOCHPERIH} = $el{EPOCH}; |
354
|
|
|
|
|
|
|
} else { |
355
|
0
|
|
|
|
|
0
|
$el{EPOCH} = $el{EPOCHPERIH}; |
356
|
|
|
|
|
|
|
} |
357
|
|
|
|
|
|
|
} |
358
|
|
|
|
|
|
|
|
359
|
|
|
|
|
|
|
# First have to perturb the elements to the current epoch |
360
|
|
|
|
|
|
|
# if we have a minor planet or comet |
361
|
20
|
50
|
33
|
|
|
72
|
if ( $jform == 2 || $jform == 3) { |
362
|
|
|
|
|
|
|
# for now we do not have enough information for jform=3 |
363
|
|
|
|
|
|
|
# so just assume the EPOCH is the same |
364
|
|
|
|
|
|
|
# use Data::Dumper; |
365
|
|
|
|
|
|
|
# print "Before perturbing: ". Dumper(\%el); |
366
|
|
|
|
|
|
|
# print "MJD ref : " . $self->_mjd_tt . " and jform = $jform\n"; |
367
|
|
|
|
|
|
|
($el{EPOCH},$el{ORBINC}, $el{ANODE}, |
368
|
|
|
|
|
|
|
$el{PERIH},$el{AORQ},$el{E},$el{AORL}, |
369
|
|
|
|
|
|
|
my $jstat) = Astro::PAL::palPertel($jform,$el{EPOCH},$self->_mjd_tt, |
370
|
|
|
|
|
|
|
$el{EPOCHPERIH},$el{ORBINC},$el{ANODE}, |
371
|
20
|
|
|
|
|
74
|
$el{PERIH},$el{AORQ},$el{E},$el{AORL} ); |
372
|
|
|
|
|
|
|
|
373
|
|
|
|
|
|
|
# print "After perturbing: " .Dumper(\%el); |
374
|
20
|
0
|
|
|
|
114
|
croak "Error perturbing elements for target ". |
|
|
50
|
|
|
|
|
|
375
|
|
|
|
|
|
|
(defined $self->name ? $self->name : '' ) |
376
|
|
|
|
|
|
|
." [status=$jstat]" |
377
|
|
|
|
|
|
|
if $jstat != 0; |
378
|
|
|
|
|
|
|
} |
379
|
|
|
|
|
|
|
|
380
|
|
|
|
|
|
|
|
381
|
|
|
|
|
|
|
# Print out the values |
382
|
|
|
|
|
|
|
#print "EPOCH: $el{EPOCH}\n"; |
383
|
|
|
|
|
|
|
#print "ORBINC: ". ($el{ORBINC}*Astro::PAL::DR2D) . "\n"; |
384
|
|
|
|
|
|
|
#print "ANODE: ". ($el{ANODE}*Astro::PAL::DR2D) . "\n"; |
385
|
|
|
|
|
|
|
#print "PERIH : ". ($el{PERIH}*Astro::PAL::DR2D) . "\n"; |
386
|
|
|
|
|
|
|
#print "AORQ: $el{AORQ}\n"; |
387
|
|
|
|
|
|
|
#print "E: $el{E}\n"; |
388
|
|
|
|
|
|
|
|
389
|
|
|
|
|
|
|
my ($ra, $dec, $dist, $j) = Astro::PAL::palPlante($self->_mjd_tt, $long, $lat, $jform, |
390
|
|
|
|
|
|
|
$el{EPOCH}, $el{ORBINC}, $el{ANODE}, $el{PERIH}, |
391
|
20
|
|
|
|
|
77
|
$el{AORQ}, $el{E}, $el{AORL}, $el{DM} ); |
392
|
|
|
|
|
|
|
|
393
|
20
|
0
|
|
|
|
89
|
croak "Error determining apparent RA/Dec for target ". |
|
|
50
|
|
|
|
|
|
394
|
|
|
|
|
|
|
(defined $self->name ? $self->name : '' ) |
395
|
|
|
|
|
|
|
."[status=$j]" if $j != 0; |
396
|
|
|
|
|
|
|
|
397
|
|
|
|
|
|
|
# Convert to angle object |
398
|
20
|
|
|
|
|
83
|
$ra_app = new Astro::Coords::Angle::Hour($ra, units => 'rad', range => '2PI'); |
399
|
20
|
|
|
|
|
66
|
$dec_app = new Astro::Coords::Angle($dec, units => 'rad'); |
400
|
|
|
|
|
|
|
|
401
|
|
|
|
|
|
|
# Store in cache |
402
|
20
|
|
|
|
|
79
|
$self->_cache_write( "RA_APP" => $ra_app, "DEC_APP" => $dec_app ); |
403
|
|
|
|
|
|
|
} |
404
|
|
|
|
|
|
|
|
405
|
23
|
|
|
|
|
401
|
return( $ra_app, $dec_app ); |
406
|
|
|
|
|
|
|
} |
407
|
|
|
|
|
|
|
|
408
|
|
|
|
|
|
|
=item B<rv> |
409
|
|
|
|
|
|
|
|
410
|
|
|
|
|
|
|
Radial velocity of the planet relative to the Earth geocentre. |
411
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
=cut |
413
|
|
|
|
|
|
|
|
414
|
|
|
|
|
|
|
sub rv { |
415
|
0
|
|
|
0
|
1
|
0
|
croak "Not yet implemented element radial velocities"; |
416
|
|
|
|
|
|
|
} |
417
|
|
|
|
|
|
|
|
418
|
|
|
|
|
|
|
=item B<vdefn> |
419
|
|
|
|
|
|
|
|
420
|
|
|
|
|
|
|
Velocity definition. Always 'RADIO'. |
421
|
|
|
|
|
|
|
|
422
|
|
|
|
|
|
|
=cut |
423
|
|
|
|
|
|
|
|
424
|
|
|
|
|
|
|
sub vdefn { |
425
|
0
|
|
|
0
|
1
|
0
|
return 'RADIO'; |
426
|
|
|
|
|
|
|
} |
427
|
|
|
|
|
|
|
|
428
|
|
|
|
|
|
|
=item B<vframe> |
429
|
|
|
|
|
|
|
|
430
|
|
|
|
|
|
|
Velocity reference frame. Always 'GEO'. |
431
|
|
|
|
|
|
|
|
432
|
|
|
|
|
|
|
=cut |
433
|
|
|
|
|
|
|
|
434
|
|
|
|
|
|
|
sub vframe { |
435
|
0
|
|
|
0
|
1
|
0
|
return 'GEO'; |
436
|
|
|
|
|
|
|
} |
437
|
|
|
|
|
|
|
|
438
|
|
|
|
|
|
|
=item B<apply_offset> |
439
|
|
|
|
|
|
|
|
440
|
|
|
|
|
|
|
Overrided method to warn if C<Astro::Coords::apply_offset> is |
441
|
|
|
|
|
|
|
called on this subclass. |
442
|
|
|
|
|
|
|
|
443
|
|
|
|
|
|
|
=cut |
444
|
|
|
|
|
|
|
|
445
|
|
|
|
|
|
|
sub apply_offset { |
446
|
1
|
|
|
1
|
1
|
19
|
my $self = shift; |
447
|
1
|
|
|
|
|
9
|
warn "apply_offset: applying offset to orbital elements position for a specific time.\n"; |
448
|
1
|
|
|
|
|
18
|
return $self->SUPER::apply_offset(@_); |
449
|
|
|
|
|
|
|
} |
450
|
|
|
|
|
|
|
|
451
|
|
|
|
|
|
|
=back |
452
|
|
|
|
|
|
|
|
453
|
|
|
|
|
|
|
=head1 NOTES |
454
|
|
|
|
|
|
|
|
455
|
|
|
|
|
|
|
Usually called via C<Astro::Coords>. |
456
|
|
|
|
|
|
|
|
457
|
|
|
|
|
|
|
=head1 LINKS |
458
|
|
|
|
|
|
|
|
459
|
|
|
|
|
|
|
Useful sources of orbital elements can be found at |
460
|
|
|
|
|
|
|
http://ssd.jpl.nasa.gov and http://cfa-www.harvard.edu/iau/Ephemerides/ |
461
|
|
|
|
|
|
|
|
462
|
|
|
|
|
|
|
=head1 REQUIREMENTS |
463
|
|
|
|
|
|
|
|
464
|
|
|
|
|
|
|
C<Astro::PAL> is used for all internal astrometric calculations. |
465
|
|
|
|
|
|
|
|
466
|
|
|
|
|
|
|
=head1 AUTHOR |
467
|
|
|
|
|
|
|
|
468
|
|
|
|
|
|
|
Tim Jenness E<lt>tjenness@cpan.orgE<gt> |
469
|
|
|
|
|
|
|
|
470
|
|
|
|
|
|
|
=head1 COPYRIGHT |
471
|
|
|
|
|
|
|
|
472
|
|
|
|
|
|
|
Copyright (C) 2001-2005 Particle Physics and Astronomy Research Council. |
473
|
|
|
|
|
|
|
All Rights Reserved. |
474
|
|
|
|
|
|
|
|
475
|
|
|
|
|
|
|
This program is free software; you can redistribute it and/or modify it under |
476
|
|
|
|
|
|
|
the terms of the GNU General Public License as published by the Free Software |
477
|
|
|
|
|
|
|
Foundation; either version 3 of the License, or (at your option) any later |
478
|
|
|
|
|
|
|
version. |
479
|
|
|
|
|
|
|
|
480
|
|
|
|
|
|
|
This program is distributed in the hope that it will be useful,but WITHOUT ANY |
481
|
|
|
|
|
|
|
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A |
482
|
|
|
|
|
|
|
PARTICULAR PURPOSE. See the GNU General Public License for more details. |
483
|
|
|
|
|
|
|
|
484
|
|
|
|
|
|
|
You should have received a copy of the GNU General Public License along with |
485
|
|
|
|
|
|
|
this program; if not, write to the Free Software Foundation, Inc., 59 Temple |
486
|
|
|
|
|
|
|
Place,Suite 330, Boston, MA 02111-1307, USA |
487
|
|
|
|
|
|
|
|
488
|
|
|
|
|
|
|
=cut |
489
|
|
|
|
|
|
|
|
490
|
|
|
|
|
|
|
1; |