| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | =head1 NAME | 
| 2 |  |  |  |  |  |  |  | 
| 3 |  |  |  |  |  |  | Astro::Coord::ECI::Star - Compute the position of a star. | 
| 4 |  |  |  |  |  |  |  | 
| 5 |  |  |  |  |  |  | =head1 SYNOPSIS | 
| 6 |  |  |  |  |  |  |  | 
| 7 |  |  |  |  |  |  | use Astro::Coord::ECI; | 
| 8 |  |  |  |  |  |  | use Astro::Coord::ECI::Star; | 
| 9 |  |  |  |  |  |  | use Astro::Coord::ECI::Utils qw{deg2rad}; | 
| 10 |  |  |  |  |  |  |  | 
| 11 |  |  |  |  |  |  | # 1600 Pennsylvania Ave, Washington DC USA | 
| 12 |  |  |  |  |  |  | # latitude 38.899 N, longitude 77.038 W, | 
| 13 |  |  |  |  |  |  | # altitude 16.68 meters above sea level | 
| 14 |  |  |  |  |  |  | my $lat = deg2rad (38.899);    # Radians | 
| 15 |  |  |  |  |  |  | my $long = deg2rad (-77.038);  # Radians | 
| 16 |  |  |  |  |  |  | my $alt = 16.68 / 1000;        # Kilometers | 
| 17 |  |  |  |  |  |  |  | 
| 18 |  |  |  |  |  |  | my $star = Astro::Coord::ECI::Star->new ( | 
| 19 |  |  |  |  |  |  | name => 'Spica')->position( | 
| 20 |  |  |  |  |  |  | 3.51331869544372,    # Right ascension, radians | 
| 21 |  |  |  |  |  |  | -0.194802985206623,  # Declination, radians | 
| 22 |  |  |  |  |  |  | ); | 
| 23 |  |  |  |  |  |  | my $sta = Astro::Coord::ECI-> | 
| 24 |  |  |  |  |  |  | universal (time ())-> | 
| 25 |  |  |  |  |  |  | geodetic ($lat, $long, $alt); | 
| 26 |  |  |  |  |  |  | my ($time, $rise) = $sta->next_elevation ($star); | 
| 27 |  |  |  |  |  |  | print "Star @{[$rise ? 'rise' : 'set']} is ", | 
| 28 |  |  |  |  |  |  | scalar localtime $time, "\n"; | 
| 29 |  |  |  |  |  |  |  | 
| 30 |  |  |  |  |  |  | =head1 DESCRIPTION | 
| 31 |  |  |  |  |  |  |  | 
| 32 |  |  |  |  |  |  | This module implements the position of a star (or any other object | 
| 33 |  |  |  |  |  |  | which can be regarded as fixed on the celestial sphere) as a function | 
| 34 |  |  |  |  |  |  | of time, as described in Jean Meeus' "Astronomical Algorithms," second | 
| 35 |  |  |  |  |  |  | edition. It is a subclass of L, | 
| 36 |  |  |  |  |  |  | with a position() method to set the catalog position (and optionally | 
| 37 |  |  |  |  |  |  | proper motion as well), and the time_set() method overridden to compute | 
| 38 |  |  |  |  |  |  | the position of the star at the given time. | 
| 39 |  |  |  |  |  |  |  | 
| 40 |  |  |  |  |  |  | =head2 Methods | 
| 41 |  |  |  |  |  |  |  | 
| 42 |  |  |  |  |  |  | The following methods should be considered public: | 
| 43 |  |  |  |  |  |  |  | 
| 44 |  |  |  |  |  |  | =over | 
| 45 |  |  |  |  |  |  |  | 
| 46 |  |  |  |  |  |  | =cut | 
| 47 |  |  |  |  |  |  |  | 
| 48 |  |  |  |  |  |  | package Astro::Coord::ECI::Star; | 
| 49 |  |  |  |  |  |  |  | 
| 50 | 4 |  |  | 4 |  | 2856 | use strict; | 
|  | 4 |  |  |  |  | 9 |  | 
|  | 4 |  |  |  |  | 122 |  | 
| 51 | 4 |  |  | 4 |  | 21 | use warnings; | 
|  | 4 |  |  |  |  | 8 |  | 
|  | 4 |  |  |  |  | 179 |  | 
| 52 |  |  |  |  |  |  |  | 
| 53 |  |  |  |  |  |  | our $VERSION = '0.129_01'; | 
| 54 |  |  |  |  |  |  |  | 
| 55 | 4 |  |  | 4 |  | 21 | use base qw{Astro::Coord::ECI}; | 
|  | 4 |  |  |  |  | 8 |  | 
|  | 4 |  |  |  |  | 417 |  | 
| 56 |  |  |  |  |  |  |  | 
| 57 | 4 |  |  | 4 |  | 30 | use Astro::Coord::ECI::Utils qw{ @CARP_NOT :mainstream }; | 
|  | 4 |  |  |  |  | 9 |  | 
|  | 4 |  |  |  |  | 1596 |  | 
| 58 | 4 |  |  | 4 |  | 39 | use Carp; | 
|  | 4 |  |  |  |  | 8 |  | 
|  | 4 |  |  |  |  | 234 |  | 
| 59 | 4 |  |  | 4 |  | 1271 | use Data::Dumper; | 
|  | 4 |  |  |  |  | 14112 |  | 
|  | 4 |  |  |  |  | 230 |  | 
| 60 | 4 |  |  | 4 |  | 28 | use POSIX qw{floor strftime}; | 
|  | 4 |  |  |  |  | 8 |  | 
|  | 4 |  |  |  |  | 23 |  | 
| 61 |  |  |  |  |  |  |  | 
| 62 |  |  |  |  |  |  | =item $star = Astro::Coord::ECI::Star->new(); | 
| 63 |  |  |  |  |  |  |  | 
| 64 |  |  |  |  |  |  | This method instantiates an object to represent the coordinates of a | 
| 65 |  |  |  |  |  |  | star, or some other object which may be regarded as fixed on the | 
| 66 |  |  |  |  |  |  | celestial sphere. This is a subclass of B, with the | 
| 67 |  |  |  |  |  |  | angularvelocity attribute initialized to zero. | 
| 68 |  |  |  |  |  |  |  | 
| 69 |  |  |  |  |  |  | Truth in advertising: The positions produced by this model are about | 
| 70 |  |  |  |  |  |  | four arc seconds off Dr. Meeus' worked example for the position of | 
| 71 |  |  |  |  |  |  | Theta Persei for Dynamical time November 13.19, 2028. This seems | 
| 72 |  |  |  |  |  |  | excessive, but it's difficult to check intermediate results because | 
| 73 |  |  |  |  |  |  | this calculation goes through ecliptic coordinates, whereas Dr. Meeus' | 
| 74 |  |  |  |  |  |  | worked example is in equatorial coordinates. | 
| 75 |  |  |  |  |  |  |  | 
| 76 |  |  |  |  |  |  | =cut | 
| 77 |  |  |  |  |  |  |  | 
| 78 |  |  |  |  |  |  | sub new { | 
| 79 | 2 |  |  | 2 | 1 | 153 | my ($class, @args) = @_; | 
| 80 | 2 | 50 |  |  |  | 9 | ref $class and $class = ref $class; | 
| 81 | 2 |  |  |  |  | 21 | return $class->SUPER::new (angularvelocity => 0, | 
| 82 |  |  |  |  |  |  | @args); | 
| 83 |  |  |  |  |  |  | } | 
| 84 |  |  |  |  |  |  |  | 
| 85 |  |  |  |  |  |  | =item @almanac = $star->almanac($station, $start, $end); | 
| 86 |  |  |  |  |  |  |  | 
| 87 |  |  |  |  |  |  | This method produces almanac data for the star for the given observing | 
| 88 |  |  |  |  |  |  | station, between the given start and end times. The station is assumed | 
| 89 |  |  |  |  |  |  | to be Earth-Fixed - that is, you can not do this for something in orbit. | 
| 90 |  |  |  |  |  |  |  | 
| 91 |  |  |  |  |  |  | The C<$station> argument may be omitted if the C attribute has | 
| 92 |  |  |  |  |  |  | been set. That is, this method can also be called as | 
| 93 |  |  |  |  |  |  |  | 
| 94 |  |  |  |  |  |  | @almanac = $star->almanac( $start, $end ) | 
| 95 |  |  |  |  |  |  |  | 
| 96 |  |  |  |  |  |  | The start time defaults to the current time setting of the $star | 
| 97 |  |  |  |  |  |  | object, and the end time defaults to a day after the start time. | 
| 98 |  |  |  |  |  |  |  | 
| 99 |  |  |  |  |  |  | The almanac data consists of a list of list references. Each list | 
| 100 |  |  |  |  |  |  | reference points to a list containing the following elements: | 
| 101 |  |  |  |  |  |  |  | 
| 102 |  |  |  |  |  |  | [0] => time | 
| 103 |  |  |  |  |  |  | [1] => event (string) | 
| 104 |  |  |  |  |  |  | [2] => detail (integer) | 
| 105 |  |  |  |  |  |  | [3] => description (string) | 
| 106 |  |  |  |  |  |  |  | 
| 107 |  |  |  |  |  |  | The @almanac list is returned sorted by time. | 
| 108 |  |  |  |  |  |  |  | 
| 109 |  |  |  |  |  |  | The following events, details, and descriptions are at least | 
| 110 |  |  |  |  |  |  | potentially returned: | 
| 111 |  |  |  |  |  |  |  | 
| 112 |  |  |  |  |  |  | horizon: 0 = star sets, 1 = star rises; | 
| 113 |  |  |  |  |  |  | transit: 1 = star transits meridian; | 
| 114 |  |  |  |  |  |  |  | 
| 115 |  |  |  |  |  |  | =cut | 
| 116 |  |  |  |  |  |  |  | 
| 117 |  |  |  |  |  |  | sub __almanac_event_type_iterator { | 
| 118 | 0 |  |  | 0 |  | 0 | my ( $self, $station ) = @_; | 
| 119 |  |  |  |  |  |  |  | 
| 120 | 0 |  |  |  |  | 0 | my $inx = 0; | 
| 121 |  |  |  |  |  |  |  | 
| 122 | 0 |  |  |  |  | 0 | my $horizon = $station->__get_almanac_horizon(); | 
| 123 |  |  |  |  |  |  |  | 
| 124 | 0 |  |  |  |  | 0 | my @events = ( | 
| 125 |  |  |  |  |  |  | [ $station, next_elevation => [ $self, $horizon, 1 ], | 
| 126 |  |  |  |  |  |  | horizon => '__horizon_name' ], | 
| 127 |  |  |  |  |  |  | [ $station, next_meridian => [ $self ], | 
| 128 |  |  |  |  |  |  | transit => '__transit_name' ], | 
| 129 |  |  |  |  |  |  | ); | 
| 130 |  |  |  |  |  |  |  | 
| 131 |  |  |  |  |  |  | return sub { | 
| 132 |  |  |  |  |  |  | $inx < @events | 
| 133 | 0 | 0 |  | 0 |  | 0 | and return @{ $events[$inx++] }; | 
|  | 0 |  |  |  |  | 0 |  | 
| 134 | 0 |  |  |  |  | 0 | return; | 
| 135 | 0 |  |  |  |  | 0 | }; | 
| 136 |  |  |  |  |  |  | } | 
| 137 |  |  |  |  |  |  |  | 
| 138 | 4 |  |  | 4 |  | 1452 | use Astro::Coord::ECI::Mixin qw{ almanac }; | 
|  | 4 |  |  |  |  | 11 |  | 
|  | 4 |  |  |  |  | 227 |  | 
| 139 |  |  |  |  |  |  |  | 
| 140 |  |  |  |  |  |  | =item @almanac = $star->almanac_hash($station, $start, $end); | 
| 141 |  |  |  |  |  |  |  | 
| 142 |  |  |  |  |  |  | This convenience method wraps $star->almanac(), but returns a list of | 
| 143 |  |  |  |  |  |  | hash references, sort of like Astro::Coord::ECI::TLE->pass() | 
| 144 |  |  |  |  |  |  | does. The hashes contain the following keys: | 
| 145 |  |  |  |  |  |  |  | 
| 146 |  |  |  |  |  |  | {almanac} => { | 
| 147 |  |  |  |  |  |  | {event} => the event type; | 
| 148 |  |  |  |  |  |  | {detail} => the event detail (typically 0 or 1); | 
| 149 |  |  |  |  |  |  | {description} => the event description; | 
| 150 |  |  |  |  |  |  | } | 
| 151 |  |  |  |  |  |  | {body} => the original object ($star); | 
| 152 |  |  |  |  |  |  | {station} => the observing station; | 
| 153 |  |  |  |  |  |  | {time} => the time the quarter occurred. | 
| 154 |  |  |  |  |  |  |  | 
| 155 |  |  |  |  |  |  | The {time}, {event}, {detail}, and {description} keys correspond to | 
| 156 |  |  |  |  |  |  | elements 0 through 3 of the list returned by almanac(). | 
| 157 |  |  |  |  |  |  |  | 
| 158 |  |  |  |  |  |  | =cut | 
| 159 |  |  |  |  |  |  |  | 
| 160 | 4 |  |  | 4 |  | 25 | use Astro::Coord::ECI::Mixin qw{ almanac_hash }; | 
|  | 4 |  |  |  |  | 8 |  | 
|  | 4 |  |  |  |  | 165 |  | 
| 161 |  |  |  |  |  |  |  | 
| 162 | 4 |  |  | 4 |  | 22 | use constant NEVER_PASS_ELEV => 2 * __PACKAGE__->SECSPERDAY; | 
|  | 4 |  |  |  |  | 7 |  | 
|  | 4 |  |  |  |  | 877 |  | 
| 163 |  |  |  |  |  |  |  | 
| 164 |  |  |  |  |  |  | =item $star = $star->position($ra, $dec, $range, $mra, $mdc, $mrg, $time); | 
| 165 |  |  |  |  |  |  |  | 
| 166 |  |  |  |  |  |  | This method sets the position and proper motion of the star in | 
| 167 |  |  |  |  |  |  | equatorial coordinates. Right ascension and declination are | 
| 168 |  |  |  |  |  |  | specified in radians, and range in kilometers. Proper motion in | 
| 169 |  |  |  |  |  |  | range and declination is specified in radians B (an | 
| 170 |  |  |  |  |  |  | B small number!), and the proper motion in recession | 
| 171 |  |  |  |  |  |  | in kilometers per second. | 
| 172 |  |  |  |  |  |  |  | 
| 173 |  |  |  |  |  |  | The range defaults to 1 parsec, which is too close but probably good | 
| 174 |  |  |  |  |  |  | enough since we do not take parallax into account when computing | 
| 175 |  |  |  |  |  |  | position, and since you can override it with a range (in km!) if you so | 
| 176 |  |  |  |  |  |  | desire. The proper motions default to 0. The time defaults to J2000.0, | 
| 177 |  |  |  |  |  |  | and is used to set not only the current time of the object but also the | 
| 178 |  |  |  |  |  |  | equinox_dynamical. If you are not interested in proper motion but are | 
| 179 |  |  |  |  |  |  | interested in time, omit the proper motion arguments completely and | 
| 180 |  |  |  |  |  |  | specify time as the fourth argument. | 
| 181 |  |  |  |  |  |  |  | 
| 182 |  |  |  |  |  |  | If you call this as a class method, a new Astro::Coord::ECI::Star | 
| 183 |  |  |  |  |  |  | object will be constructed. If you call it without arguments, the | 
| 184 |  |  |  |  |  |  | position of the star is returned. | 
| 185 |  |  |  |  |  |  |  | 
| 186 |  |  |  |  |  |  | Note that this is B simply a synonym for the equatorial() method. | 
| 187 |  |  |  |  |  |  | The equatorial() method returns the position of the star corrected for | 
| 188 |  |  |  |  |  |  | precession and nutation. This method is used to set the catalog | 
| 189 |  |  |  |  |  |  | position of the star in question. | 
| 190 |  |  |  |  |  |  |  | 
| 191 |  |  |  |  |  |  | =cut | 
| 192 |  |  |  |  |  |  |  | 
| 193 |  |  |  |  |  |  | sub position { | 
| 194 | 2 |  |  | 2 | 1 | 9 | my ($self, @args) = @_; | 
| 195 | 2 | 50 |  |  |  | 14 | return @{$self->{_star_position}} unless @args; | 
|  | 0 |  |  |  |  | 0 |  | 
| 196 | 2 |  | 50 |  |  | 7 | $args[2] ||= PARSEC; | 
| 197 | 2 | 50 |  |  |  | 8 | @args < 5 and splice @args, 3, 0, 0, 0, 0; | 
| 198 | 2 |  | 50 |  |  | 7 | $args[3] ||= 0; | 
| 199 | 2 |  | 50 |  |  | 8 | $args[4] ||= 0; | 
| 200 | 2 |  | 100 |  |  | 11 | $args[5] ||= 0; | 
| 201 | 2 |  | 50 |  |  | 12 | $args[6] ||= PERL2000; | 
| 202 | 2 | 50 |  |  |  | 7 | $self = $self->new () unless ref $self; | 
| 203 | 2 |  |  |  |  | 9 | $self->{_star_position} = [@args]; | 
| 204 |  |  |  |  |  |  | # CAVEAT: time_set() picks the equinox directly out of the above | 
| 205 |  |  |  |  |  |  | # hash. | 
| 206 | 2 |  |  |  |  | 17 | $self->dynamical ($args[6]); | 
| 207 | 2 |  |  |  |  | 6 | return $self; | 
| 208 |  |  |  |  |  |  | } | 
| 209 |  |  |  |  |  |  |  | 
| 210 |  |  |  |  |  |  | =item $star->time_set() | 
| 211 |  |  |  |  |  |  |  | 
| 212 |  |  |  |  |  |  | This method sets coordinates of the object to the coordinates of the | 
| 213 |  |  |  |  |  |  | star at the object's currently-set universal time. Proper motion is | 
| 214 |  |  |  |  |  |  | taken into account if this was specified. | 
| 215 |  |  |  |  |  |  |  | 
| 216 |  |  |  |  |  |  | Although there's no reason this method can't be called directly, it | 
| 217 |  |  |  |  |  |  | exists to take advantage of the hook in the B | 
| 218 |  |  |  |  |  |  | object, to allow the position of the star to be computed when the | 
| 219 |  |  |  |  |  |  | time is set. | 
| 220 |  |  |  |  |  |  |  | 
| 221 |  |  |  |  |  |  | The computation comes from Jean Meeus' "Astronomical Algorithms", 2nd | 
| 222 |  |  |  |  |  |  | Edition, Chapter 23, pages 149ff. | 
| 223 |  |  |  |  |  |  |  | 
| 224 |  |  |  |  |  |  | B, however, that for consistency with the | 
| 225 |  |  |  |  |  |  | L and | 
| 226 |  |  |  |  |  |  | L classes, the position | 
| 227 |  |  |  |  |  |  | is precessed to the current time setting. | 
| 228 |  |  |  |  |  |  |  | 
| 229 |  |  |  |  |  |  | =cut | 
| 230 |  |  |  |  |  |  |  | 
| 231 | 4 |  |  | 4 |  | 28 | use constant CONSTANT_OF_ABERRATION => deg2rad (20.49552 / 3600); | 
|  | 4 |  |  |  |  | 8 |  | 
|  | 4 |  |  |  |  | 17 |  | 
| 232 |  |  |  |  |  |  |  | 
| 233 |  |  |  |  |  |  | sub time_set { | 
| 234 | 1124 |  |  | 1124 | 1 | 1962 | my $self = shift; | 
| 235 |  |  |  |  |  |  |  | 
| 236 | 1124 | 50 |  |  |  | 2490 | $self->{_star_position} or croak < | 
| 237 |  |  |  |  |  |  | Error - The position of the star has not been set. | 
| 238 |  |  |  |  |  |  | eod | 
| 239 |  |  |  |  |  |  |  | 
| 240 |  |  |  |  |  |  | my ($ra, $dec, $range, $mra, $mdc, $mrg, $epoch) = @{ | 
| 241 | 1124 |  |  |  |  | 1400 | $self->{_star_position}}; | 
|  | 1124 |  |  |  |  | 2690 |  | 
| 242 |  |  |  |  |  |  |  | 
| 243 | 1124 |  |  |  |  | 2532 | my $time = $self->universal; | 
| 244 | 1124 |  |  |  |  | 2654 | my $end = $self->dynamical; | 
| 245 |  |  |  |  |  |  |  | 
| 246 |  |  |  |  |  |  | #	Account for the proper motion of the star, and set our | 
| 247 |  |  |  |  |  |  | #	equatorial coordinates to the result. | 
| 248 |  |  |  |  |  |  |  | 
| 249 | 1124 |  |  |  |  | 2009 | my $deltat = $end - $epoch; | 
| 250 |  |  |  |  |  |  | #### $ra += $mra * $deltat; | 
| 251 | 1124 |  |  |  |  | 2592 | $ra = mod2pi($ra + $mra * $deltat); | 
| 252 | 1124 |  |  |  |  | 1861 | $dec += $mdc * $deltat; | 
| 253 | 1124 |  |  |  |  | 1543 | $range += $mrg * $deltat; | 
| 254 |  |  |  |  |  |  | ##!! $self->set (equinox => $epoch); | 
| 255 | 1124 |  |  |  |  | 3123 | $self->equatorial ($ra, $dec, $range); | 
| 256 |  |  |  |  |  |  |  | 
| 257 |  |  |  |  |  |  | #	NOTE: The call to precess() used to be here. I have no idea why, | 
| 258 |  |  |  |  |  |  | #	other than that I thought I could go back and forth between | 
| 259 |  |  |  |  |  |  | #	coordinates less (since I implemented in terms equatorial | 
| 260 |  |  |  |  |  |  | #	coordinates). It seems to me at this point (version 0.003_04, | 
| 261 |  |  |  |  |  |  | #	25-Oct-2007) that since precessing to a different equinox is | 
| 262 |  |  |  |  |  |  | #	actually just a coordinate transform that it should come last. | 
| 263 |  |  |  |  |  |  | #	Meeus actually gives the algorithm in ecliptic coordinates also; | 
| 264 |  |  |  |  |  |  | #	if the transform could be smart, I could skip a couple | 
| 265 |  |  |  |  |  |  | #	coordinate transforms. | 
| 266 |  |  |  |  |  |  |  | 
| 267 |  |  |  |  |  |  | #	Get ecliptic coordinates, and correct for nutation. | 
| 268 |  |  |  |  |  |  |  | 
| 269 | 1124 |  |  |  |  | 2554 | my ($beta, $lambda) = $self->ecliptic (); | 
| 270 | 1124 |  |  |  |  | 2715 | my ( $delta_psi ) = $self->nutation(); | 
| 271 | 1124 |  |  |  |  | 1785 | $lambda += $delta_psi; | 
| 272 |  |  |  |  |  |  |  | 
| 273 |  |  |  |  |  |  | #	Calculate and add in the aberration terms (Meeus 23.2); | 
| 274 |  |  |  |  |  |  |  | 
| 275 | 1124 |  |  |  |  | 2049 | my $T = jcent2000 ($time);			# Meeus (22.1) | 
| 276 | 1124 |  |  |  |  | 1975 | my $e = (-0.0000001267 * $T - 0.000042037) * $T + 0.016708634;# Meeus (25.4) | 
| 277 | 1124 |  |  |  |  | 2293 | my $pi = deg2rad ((0.00046 * $T + 1.71946) * $T + 102.93735); | 
| 278 | 1124 |  |  |  |  | 2740 | my $sun = $self->get( 'sun' ); | 
| 279 | 1124 |  |  |  |  | 3432 | $sun->universal ($time); | 
| 280 |  |  |  |  |  |  |  | 
| 281 | 1124 |  |  |  |  | 2753 | my $geoterm = $sun->geometric_longitude () - $lambda; | 
| 282 | 1124 |  |  |  |  | 1833 | my $periterm = $pi - $lambda; | 
| 283 | 1124 |  |  |  |  | 3054 | my $deltalamda = ($e * cos ($periterm) - cos ($geoterm)) * | 
| 284 |  |  |  |  |  |  | CONSTANT_OF_ABERRATION / cos ($beta); | 
| 285 | 1124 |  |  |  |  | 2389 | my $deltabeta = - (sin ($geoterm) - $e * sin ($periterm)) * sin ($beta) * | 
| 286 |  |  |  |  |  |  | CONSTANT_OF_ABERRATION; | 
| 287 | 1124 |  |  |  |  | 1674 | $lambda += $deltalamda; | 
| 288 | 1124 |  |  |  |  | 1488 | $beta += $deltabeta; | 
| 289 |  |  |  |  |  |  |  | 
| 290 | 1124 |  |  |  |  | 2807 | $self->ecliptic ($beta, $lambda, $range); | 
| 291 |  |  |  |  |  |  |  | 
| 292 |  |  |  |  |  |  | #	Set the equinox to that implied when our position was set. | 
| 293 |  |  |  |  |  |  |  | 
| 294 |  |  |  |  |  |  | ## $self->set (equinox_dynamical => $epoch); | 
| 295 | 1124 |  |  |  |  | 3152 | $self->equinox_dynamical ($epoch); | 
| 296 |  |  |  |  |  |  |  | 
| 297 |  |  |  |  |  |  | #	Precess ourselves to the current equinox. | 
| 298 |  |  |  |  |  |  |  | 
| 299 | 1124 |  |  |  |  | 2899 | $self->precess_dynamical ($end); | 
| 300 |  |  |  |  |  |  |  | 
| 301 | 1124 |  |  |  |  | 2479 | return $self; | 
| 302 |  |  |  |  |  |  | } | 
| 303 |  |  |  |  |  |  |  | 
| 304 |  |  |  |  |  |  | 1; | 
| 305 |  |  |  |  |  |  |  | 
| 306 |  |  |  |  |  |  | =back | 
| 307 |  |  |  |  |  |  |  | 
| 308 |  |  |  |  |  |  | =head1 ACKNOWLEDGMENTS | 
| 309 |  |  |  |  |  |  |  | 
| 310 |  |  |  |  |  |  | The author wishes to acknowledge Jean Meeus, whose book "Astronomical | 
| 311 |  |  |  |  |  |  | Algorithms" (second edition) formed the basis for this module. | 
| 312 |  |  |  |  |  |  |  | 
| 313 |  |  |  |  |  |  | =head1 SEE ALSO | 
| 314 |  |  |  |  |  |  |  | 
| 315 |  |  |  |  |  |  | The L | 
| 316 |  |  |  |  |  |  | documentation for a discussion of how the pieces/parts of this | 
| 317 |  |  |  |  |  |  | distribution go together and how to use them. | 
| 318 |  |  |  |  |  |  |  | 
| 319 |  |  |  |  |  |  | L by Alasdair Allan, which accommodates a | 
| 320 |  |  |  |  |  |  | much more fulsome description of a star. The star's coordinates are | 
| 321 |  |  |  |  |  |  | represented by an B object. | 
| 322 |  |  |  |  |  |  |  | 
| 323 |  |  |  |  |  |  | L by Tim Jenness can also be used to find | 
| 324 |  |  |  |  |  |  | the position of a star at a given time given a catalog entry for the | 
| 325 |  |  |  |  |  |  | star. A wide variety of coordinate representations is accommodated. | 
| 326 |  |  |  |  |  |  | This package requires B, which in its turn requires the | 
| 327 |  |  |  |  |  |  | SLALIB library. | 
| 328 |  |  |  |  |  |  |  | 
| 329 |  |  |  |  |  |  | =head1 SUPPORT | 
| 330 |  |  |  |  |  |  |  | 
| 331 |  |  |  |  |  |  | Support is by the author. Please file bug reports at | 
| 332 |  |  |  |  |  |  | L, | 
| 333 |  |  |  |  |  |  | L, or in | 
| 334 |  |  |  |  |  |  | electronic mail to the author. | 
| 335 |  |  |  |  |  |  |  | 
| 336 |  |  |  |  |  |  | =head1 AUTHOR | 
| 337 |  |  |  |  |  |  |  | 
| 338 |  |  |  |  |  |  | Thomas R. Wyant, III (F) | 
| 339 |  |  |  |  |  |  |  | 
| 340 |  |  |  |  |  |  | =head1 COPYRIGHT AND LICENSE | 
| 341 |  |  |  |  |  |  |  | 
| 342 |  |  |  |  |  |  | Copyright (C) 2005-2023 by Thomas R. Wyant, III | 
| 343 |  |  |  |  |  |  |  | 
| 344 |  |  |  |  |  |  | This program is free software; you can redistribute it and/or modify it | 
| 345 |  |  |  |  |  |  | under the same terms as Perl 5.10.0. For more details, see the full text | 
| 346 |  |  |  |  |  |  | of the licenses in the directory LICENSES. | 
| 347 |  |  |  |  |  |  |  | 
| 348 |  |  |  |  |  |  | This program is distributed in the hope that it will be useful, but | 
| 349 |  |  |  |  |  |  | without any warranty; without even the implied warranty of | 
| 350 |  |  |  |  |  |  | merchantability or fitness for a particular purpose. | 
| 351 |  |  |  |  |  |  |  | 
| 352 |  |  |  |  |  |  | =cut | 
| 353 |  |  |  |  |  |  |  | 
| 354 |  |  |  |  |  |  | # ex: set textwidth=72 : |