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spider/perl/Sun.pm
minima 9b47e7023d reduce the amount of POSIX loaded. 
display buddies online at logon.
2006-03-26 18:36:01 +00:00

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#/usr/bin/perl -w
#
# This module was written by Steve Franke K9AN.
# November, 1999.
#
# The formulas used in this module
# are described in:
# Astronomical Algorithms, Second Edition
# by Jean Meeus, 1998
# Published by Willmann-Bell, Inc.
# P.O. Box 35025, Richmond, Virginia 23235
#
# Atmospheric refraction and parallax are taken into
# account when calculating positions of the sun and moon,
# and also when calculating the rise and set times.
#
# Copyright (c) 1999 - Steve Franke K9AN
#
# $Id$
#
# 2005/02/25 add calculation of civil dawn and dusk, defined to be times
# when solar zenith angle is 96 degrees.
# 2001/12/16 Fixed Julian_Date_of_Epoch and now I actually use it...
# 2001/09/15 some changes to take care of cases where the object
# doesn't rise or set on a given day...
package Sun;
require Exporter;
@ISA = qw(Exporter);
@EXPORT = qw($pi $d2r $r2d );
use strict;
use vars qw($VERSION $BRANCH);
$VERSION = sprintf( "%d.%03d", q$Revision$ =~ /(\d+)\.(\d+)/ );
$BRANCH = sprintf( "%d.%03d", q$Revision$ =~ /\d+\.\d+\.(\d+)\.(\d+)/ || (0,0));
$main::build += $VERSION;
$main::branch += $BRANCH;
use vars qw($pi $d2r $r2d);
$pi = 3.141592653589;
$d2r = ($pi/180);
$r2d = (180/$pi);
use vars qw(%keps);
use Keps;
use DXVars;
use DXUtil;
use DXDebug;
use POSIX qw(:math_h);
# reload the keps data
sub load
{
my @out;
my $s = readfilestr("$main::root/local/Keps.pm");
if ($s) {
eval $s;
push @out, $@ if $@;
}
return @out;
}
sub Julian_Day
{
my $year = shift;
my $month = shift;
my $day = shift;
my $julianday;
$year=$year-1 if( $month <= 2 );
$month=$month+12 if( $month <= 2);
$julianday = int(365.25*($year+4716)+int(30.6001*($month+1)))+$day-13-1524.5;
return $julianday;
}
sub Julian_Date_of_Epoch
{
my $epoch=shift;
my $year=int($epoch/1000);
my $day=$epoch-$year*1000;
if ($year < 57 ) {
$year=$year+2000;
}
else {
$year=$year+1900;
}
my $Julian_Date_of_Epoch=Julian_Date_of_Year($year)+$day;
return $Julian_Date_of_Epoch;
}
sub Julian_Date_of_Year
{
my $year=shift;
$year=$year-1;
my $A=int($year/100);
my $B=2-$A+int($A/4);
my $Julian_Date_of_Year=int(365.25*$year)+int(30.6001*14)+
1720994.5+$B;
return $Julian_Date_of_Year;
}
sub ThetaG_JD
{
my $jd=shift;
my $omega_E=1.00273790934; # earth rotations per sidereal day
my $secday=86400;
my $UT=($jd+0.5)-int($jd+0.5);
$jd=$jd-$UT;
my $TU=($jd-2451545.0)/36525;
my $GMST=24110.54841+$TU*(8640184.812866+$TU*(0.093104-$TU*6.2e-6));
my $thetag_jd=mod2p(2*$pi*($GMST/$secday+$omega_E*$UT));
return $thetag_jd;
}
sub reduce_angle_to_360
{
my $angle = shift;
$angle=$angle-int($angle/360)*360;
$angle=$angle+360 if( $angle < 0 );
return $angle;
}
sub mod2p
{
my $twopi=$pi*2;
my $angle = shift;
$angle=$angle-int($angle/$twopi)*$twopi;
$angle=$angle+$twopi if( $angle < 0 );
return $angle;
}
sub sindeg
{
my $angle_in_degrees = shift;
return sin($angle_in_degrees*$d2r);
}
sub cosdeg
{
my $angle_in_degrees = shift;
return cos($angle_in_degrees*$d2r);
}
sub tandeg
{
my $angle_in_degrees = shift;
return tan($angle_in_degrees*$d2r);
}
sub get_az_el
{
my $H=shift;
my $delta=shift;
my $lat=shift;
my $az=$r2d * atan2( sindeg($H), cosdeg($H)*sindeg($lat)-tandeg($delta)*cosdeg($lat) );
my $h=$r2d * asin( sindeg($lat)*sindeg($delta)+cosdeg($lat)*cosdeg($delta)*cosdeg($H) );
return ($az,$h);
}
sub rise_set
{
my $year = shift;
my $month = shift;
my $day = shift;
my $hr = shift;
my $min = shift;
my $lat = shift;
my $lon = shift;
my $sun0_moon1=shift; # 0 for sun, 1 for moon, 2 for venus...
my ($alpha1,$delta1,$alpha2,$delta2,$alpha3,$delta3);
my ($aznow,$hnow,$alphanow,$deltanow,$distance,$distancenow);
my ($h0,$H);
my ($risetime,$settime);
my ($dawntime,$dusktime);
my ($ifrac,$ifracnow);
my $julianday=Julian_Day($year,$month,$day);
my $tt1 = ($julianday-1-2451545)/36525.;
my $tt2 = ($julianday-2451545)/36525.;
my $tt3 = ($julianday+1-2451545)/36525.;
my $ttnow = ($julianday+$hr/24+$min/24/60-2451545)/36525.;
my $theta0=280.46061837+360.98564736629*($julianday-2451545.0)+
0.000387933*$tt2*$tt2-$tt2*$tt2*$tt2/38710000;
$theta0=reduce_angle_to_360($theta0);
my $thetanow=280.46061837+360.98564736629*($julianday+$hr/24+$min/24/60-2451545.0)+
0.000387933*$ttnow*$ttnow-$ttnow*$ttnow*$ttnow/38710000;
$thetanow=reduce_angle_to_360($thetanow);
if ( $sun0_moon1 == 0 ) {
($alpha1, $delta1)=get_sun_alpha_delta($tt1);
($alpha2, $delta2)=get_sun_alpha_delta($tt2);
($alpha3, $delta3)=get_sun_alpha_delta($tt3);
($alphanow, $deltanow)=get_sun_alpha_delta($ttnow);
$H=$thetanow-$lon-$alphanow;
$H=reduce_angle_to_360($H);
($aznow,$hnow)=get_az_el($H,$deltanow,$lat);
$hnow=$hnow +
1.02/(tandeg($hnow+10.3/($hnow+5.11)))/60;
$h0=-0.8333; # this is for sun rise and sun set
($risetime,$settime)=
do_rise_set_calculations($h0,$theta0,$lat,$lon,$alpha1,$delta1,
$alpha2,$delta2,$alpha3,$delta3);
$h0=-6.0; # this is for civil dawn and dusk
($dawntime,$dusktime)=
do_rise_set_calculations($h0,$theta0,$lat,$lon,$alpha1,$delta1,
$alpha2,$delta2,$alpha3,$delta3);
$dawntime = "------" if( $dawntime eq "NoRise" );
$dusktime = "------" if( $dusktime eq "NoSet " );
return (
sprintf("%s", $dawntime), sprintf("%s",$risetime),
sprintf("%s", $settime), sprintf("%s",$dusktime),
$aznow+180,$hnow
);
}
if ( $sun0_moon1 == 1 ) {
($alpha1, $delta1, $distance, $ifrac)=get_moon_alpha_delta($tt1);
($alpha2, $delta2, $distance, $ifrac)=get_moon_alpha_delta($tt2);
($alpha3, $delta3, $distance, $ifrac)=get_moon_alpha_delta($tt3);
($alphanow, $deltanow, $distancenow, $ifracnow)=get_moon_alpha_delta($ttnow);
$h0=0.7275*$r2d*asin(6378.14/$distancenow)-34.0/60.;
$H=$thetanow-$lon-$alphanow;
$H=reduce_angle_to_360($H);
($aznow,$hnow)=get_az_el($H,$deltanow,$lat);
$hnow=$hnow-$r2d*asin(sin(6378.14/$distancenow)*cosdeg($hnow))+
1.02/(tandeg($hnow+10.3/($hnow+5.11)))/60;
($risetime,$settime)=
do_rise_set_calculations($h0,$theta0,$lat,$lon,$alpha1,$delta1,
$alpha2,$delta2,$alpha3,$delta3);
return (sprintf("%s", $risetime), sprintf("%s",$settime),
$aznow+180,$hnow, -40*log10($distance/385000), $ifracnow );
}
}
sub do_rise_set_calculations
{
my $norise = 0;
my $noset = 0;
my ($risehr,$risemin,$risetime,$sethr,$setmin,$settime);
my ($m0,$m1,$m2,$theta,$alpha,$delta,$H,$az,$h,$corr);
my ($i,$arg,$argtest,$H0);
my $h0=shift;
my $theta0=shift;
my $lat=shift;
my $lon=shift;
my $alpha1=shift;
my $delta1=shift;
my $alpha2=shift;
my $delta2=shift;
my $alpha3=shift;
my $delta3=shift;
$arg = (sindeg($h0)-sindeg($lat)*sindeg($delta2))/(cosdeg($lat)*cosdeg($delta2));
if ( abs($arg) > 1. ) { # either up all day or down all day
$norise = 1; # leave it to the user to examine
$noset = 1; # the elevation angle (or look outside!)
} # to figure out which.
$H0 = acos($arg)*$r2d;
my $aa=$alpha2-$alpha1;
my $ba=$alpha3-$alpha2;
$aa=$aa+360 if ($aa < -180);
$aa=$aa-360 if ($aa > 180);
$ba=$ba+360 if ($ba < -180);
$ba=$ba-360 if ($ba > 180);
my $ca=$ba-$aa;
my $ad=$delta2-$delta1;
my $bd=$delta3-$delta2;
$ad=$ad+360 if ($ad < -180);
$ad=$ad-360 if ($ad > 180);
$bd=$bd+360 if ($bd < -180);
$bd=$bd-360 if ($bd > 180);
my $cd=$bd-$ad;
$m0 = ($alpha2 + $lon - $theta0)/360.;
$m0=$m0+1 if( $m0 < 0 );
$m0=$m0-1 if( $m0 > 1 );
for ($i=1; $i<=2; $i++) {
$theta = $theta0+360.985647*$m0;
$alpha=$alpha2+$m0*($aa+$ba+$m0*$ca)/2;
$delta=$delta2+$m0*($ad+$bd+$m0*$cd)/2;
$H=$theta-$lon-$alpha;
$H=reduce_angle_to_360($H);
$H=$H-360 if ($H > 180);
($az,$h)=get_az_el($H,$delta,$lat);
$corr=-$H/360;
$m0=$m0+$corr;
$m0=$m0+1 if( $m0 < 0 );
$m0=$m0-1 if( $m0 >= 1 );
}
if( !$norise ){
$m1 = $m0 - $H0/360.;
$m1=$m1+1 if( $m1 < 0 );
$m1=$m1-1 if( $m1 > 1 );
for ($i=1; $i<=2; $i++) {
$theta = $theta0+360.985647*$m1;
$alpha=$alpha2+$m1*($aa+$ba+$m1*$ca)/2;
$delta=$delta2+$m1*($ad+$bd+$m1*$cd)/2;
$H=$theta-$lon-$alpha;
$H=reduce_angle_to_360($H);
($az,$h)=get_az_el($H,$delta,$lat);
$corr=($h-$h0)/(360*(cosdeg($delta)*cosdeg($lat)*sindeg($H)));
$m1=$m1+$corr;
# $norise=1 if( $m1 < 0 || $m1 > 1);
$m1=$m1-1 if( $m1 >= 1);
$m1=$m1+1 if( $m1 < 0);
}
}
if( !$norise ) {
$risehr=int($m1*24);
$risemin=($m1*24-int($m1*24))*60+0.5;
if ( $risemin >= 60 ) {
$risemin=$risemin-60;
$risehr=$risehr+1;
}
$risehr=0 if($risehr==24);
$risetime=sprintf("%02d:%02dZ",$risehr,$risemin);
} else {
$risetime="NoRise";
}
if( !$noset ){
$m2 = $m0 + $H0/360.;
$m2=$m2+1 if( $m2 < 0 );
$m2=$m2-1 if( $m2 >= 1 );
for ($i=1; $i<=2; $i++) {
$theta = $theta0+360.985647*$m2;
$alpha=$alpha2+$m2*($aa+$ba+$m2*$ca)/2;
$delta=$delta2+$m2*($ad+$bd+$m2*$cd)/2;
$H=$theta-$lon-$alpha;
$H=reduce_angle_to_360($H);
($az,$h)=get_az_el($H,$delta,$lat);
$corr=($h-$h0)/(360*(cosdeg($delta)*cosdeg($lat)*sindeg($H)));
$m2 = $m2 + $corr;
# $noset=1 if( $m2 < 0 || $m2 > 1);
$m2=$m2-1 if( $m2 >= 1);
$m2=$m2+1 if( $m2 < 0);
}
}
if( !$noset ) {
$sethr=int($m2*24);
$setmin=($m2*24-int($m2*24))*60+0.5;
if ( $setmin >= 60 ) {
$setmin=$setmin-60;
$sethr=$sethr+1;
}
$sethr=0 if($sethr==24);
$settime=sprintf("%02d:%02dZ",$sethr,$setmin);
} else {
$settime="NoSet ";
}
return $risetime,$settime;
}
sub get_moon_alpha_delta
{
#
# Calculate the moon's right ascension and declination
#
# As of October 2001, also calculate the illuminated fraction of the
# moon's disk... (why not?)
#
my $tt=shift;
my $Lp=218.3164477+481267.88123421*$tt-
0.0015786*$tt*$tt+$tt*$tt*$tt/538841-$tt*$tt*$tt*$tt/65194000;
$Lp=reduce_angle_to_360($Lp);
my $D = 297.8501921+445267.1114034*$tt-0.0018819*$tt*$tt+
$tt*$tt*$tt/545868.-$tt*$tt*$tt*$tt/113065000.;
$D=reduce_angle_to_360($D);
my $M = 357.5291092 + 35999.0502909*$tt-0.0001536*$tt*$tt+
$tt*$tt*$tt/24490000.;
$M=reduce_angle_to_360($M);
my $Mp = 134.9633964 + 477198.8675055*$tt+0.0087414*$tt*$tt+
$tt*$tt*$tt/69699-$tt*$tt*$tt*$tt/14712000;
$Mp=reduce_angle_to_360($Mp);
my $F = 93.2720950 + 483202.0175233*$tt - 0.0036539*$tt*$tt-
$tt*$tt*$tt/3526000 + $tt*$tt*$tt*$tt/863310000;
$F=reduce_angle_to_360($F);
my $A1 = 119.75 + 131.849 * $tt;
$A1=reduce_angle_to_360($A1);
my $A2 = 53.09 + 479264.290 * $tt;
$A2=reduce_angle_to_360($A2);
my $A3 = 313.45 + 481266.484 * $tt;
$A3=reduce_angle_to_360($A3);
my $E = 1 - 0.002516 * $tt - 0.0000074 * $tt * $tt;
my $Sl= 6288774*sindeg( 1 * $Mp ) +
1274027*sindeg(2 * $D + -1 * $Mp ) +
658314 *sindeg(2 * $D ) +
213618 *sindeg( 2 * $Mp ) +
-185116 *sindeg( 1 * $M )*$E +
-114332 *sindeg( 2 * $F ) +
58793 *sindeg(2 * $D + -2 * $Mp ) +
57066 *sindeg(2 * $D - 1 * $M -1 * $Mp )*$E +
53322 *sindeg(2 * $D + 1 * $Mp ) +
45758 *sindeg(2 * $D - 1 * $M )*$E +
-40923 *sindeg( + 1 * $M -1 * $Mp )*$E +
-34720 *sindeg(1 * $D ) +
-30383 *sindeg( + 1 * $M + 1 * $Mp )*$E +
15327 *sindeg(2 * $D + -2 * $F ) +
-12528 *sindeg( 1 * $Mp + 2 * $F ) +
10980 *sindeg( 1 * $Mp - 2 * $F ) +
10675 *sindeg(4 * $D + -1 * $Mp ) +
10034 *sindeg( 3 * $Mp ) +
8548 *sindeg(4 * $D + 0 * $M - 2 * $Mp + 0 * $F ) +
-7888 *sindeg(2 * $D + 1 * $M - 1 * $Mp + 0 * $F )*$E +
-6766 *sindeg(2 * $D + 1 * $M + 0 * $Mp + 0 * $F )*$E +
-5163 *sindeg(1 * $D + 0 * $M - 1 * $Mp + 0 * $F ) +
4987 *sindeg(1 * $D + 1 * $M + 0 * $Mp + 0 * $F )*$E +
4036 *sindeg(2 * $D - 1 * $M + 1 * $Mp + 0 * $F )*$E +
3994 *sindeg(2 * $D + 0 * $M + 2 * $Mp + 0 * $F ) +
3861 *sindeg(4 * $D + 0 * $M + 0 * $Mp + 0 * $F ) +
3665 *sindeg(2 * $D + 0 * $M - 3 * $Mp + 0 * $F ) +
-2689 *sindeg(0 * $D + 1 * $M - 2 * $Mp + 0 * $F )*$E +
-2602 *sindeg(2 * $D + 0 * $M - 1 * $Mp + 2 * $F ) +
2390 *sindeg(2 * $D - 1 * $M - 2 * $Mp + 0 * $F )*$E +
-2348 *sindeg(1 * $D + 0 * $M + 1 * $Mp + 0 * $F ) +
2236 *sindeg(2 * $D - 2 * $M + 0 * $Mp + 0 * $F )*$E*$E +
-2120 *sindeg(0 * $D + 1 * $M + 2 * $Mp + 0 * $F )*$E +
-2069 *sindeg(0 * $D + 2 * $M + 0 * $Mp + 0 * $F )*$E*$E +
2048 *sindeg(2 * $D - 2 * $M - 1 * $Mp + 0 * $F )*$E*$E +
-1773 *sindeg(2 * $D + 0 * $M + 1 * $Mp - 2 * $F ) +
-1595 *sindeg(2 * $D + 0 * $M + 0 * $Mp + 2 * $F ) +
1215 *sindeg(4 * $D - 1 * $M - 1 * $Mp + 0 * $F )*$E +
-1110 *sindeg(0 * $D + 0 * $M + 2 * $Mp + 2 * $F ) +
-892 *sindeg(3 * $D + 0 * $M - 1 * $Mp + 0 * $F ) +
-810 *sindeg(2 * $D + 1 * $M + 1 * $Mp + 0 * $F )*$E +
759 *sindeg(4 * $D - 1 * $M - 2 * $Mp + 0 * $F )*$E +
-713 *sindeg(0 * $D + 2 * $M - 1 * $Mp + 0 * $F )*$E*$E +
-700 *sindeg(2 * $D + 2 * $M - 1 * $Mp + 0 * $F )*$E*$E +
691 *sindeg(2 * $D + 1 * $M - 2 * $Mp + 0 * $F )*$E +
596 *sindeg(2 * $D - 1 * $M + 0 * $Mp - 2 * $F )*$E +
549 *sindeg(4 * $D + 0 * $M + 1 * $Mp + 0 * $F ) +
537 *sindeg(0 * $D + 0 * $M + 4 * $Mp + 0 * $F ) +
520 *sindeg(4 * $D - 1 * $M + 0 * $Mp + 0 * $F )*$E +
-487 *sindeg(1 * $D + 0 * $M - 2 * $Mp + 0 * $F ) +
-399 *sindeg(2 * $D + 1 * $M + 0 * $Mp - 2 * $F )*$E +
-381 *sindeg(0 * $D + 0 * $M + 2 * $Mp - 2 * $F ) +
351 *sindeg(1 * $D + 1 * $M + 1 * $Mp + 0 * $F )*$E +
-340 *sindeg(3 * $D + 0 * $M - 2 * $Mp + 0 * $F ) +
330 *sindeg(4 * $D + 0 * $M - 3 * $Mp + 0 * $F ) +
327 *sindeg(2 * $D - 1 * $M + 2 * $Mp + 0 * $F )*$E +
-323 *sindeg(0 * $D + 2 * $M + 1 * $Mp + 0 * $F )*$E*$E +
299 *sindeg(1 * $D + 1 * $M - 1 * $Mp + 0 * $F )*$E +
294 *sindeg(2 * $D + 0 * $M + 3 * $Mp + 0 * $F ) +
3958 *sindeg($A1) + 1962*sindeg($Lp - $F) + 318*sindeg($A2);
my $Sr=-20905355 *cosdeg( 1 * $Mp ) +
-3699111 *cosdeg(2 * $D + -1 * $Mp ) +
-2955968 *cosdeg(2 * $D ) +
-569925 *cosdeg( 2 * $Mp ) +
48888 *cosdeg( 1 * $M )*$E +
-3149 *cosdeg( 2 * $F ) +
246158 *cosdeg(2 * $D + -2 * $Mp ) +
-152138 *cosdeg(2 * $D - 1 * $M -1 * $Mp )*$E +
-170733 *cosdeg(2 * $D + 1 * $Mp ) +
-204586 *cosdeg(2 * $D - 1 * $M )*$E +
-129620 *cosdeg( + 1 * $M -1 * $Mp )*$E +
108743 *cosdeg(1 * $D ) +
104755 *cosdeg( + 1 * $M + 1 * $Mp )*$E +
10321 *cosdeg(2 * $D + -2 * $F ) +
79661 *cosdeg( 1 * $Mp - 2 * $F ) +
-34782 *cosdeg(4 * $D + -1 * $Mp ) +
-23210 *cosdeg( 3 * $Mp ) +
-21636 *cosdeg(4 * $D + 0 * $M - 2 * $Mp + 0 * $F ) +
24208 *cosdeg(2 * $D + 1 * $M - 1 * $Mp + 0 * $F )*$E +
30824 *cosdeg(2 * $D + 1 * $M + 0 * $Mp + 0 * $F )*$E +
-8379 *cosdeg(1 * $D + 0 * $M - 1 * $Mp + 0 * $F ) +
-16675 *cosdeg(1 * $D + 1 * $M + 0 * $Mp + 0 * $F )*$E +
-12831 *cosdeg(2 * $D - 1 * $M + 1 * $Mp + 0 * $F )*$E +
-10445 *cosdeg(2 * $D + 0 * $M + 2 * $Mp + 0 * $F ) +
-11650 *cosdeg(4 * $D + 0 * $M + 0 * $Mp + 0 * $F ) +
14403 *cosdeg(2 * $D + 0 * $M - 3 * $Mp + 0 * $F ) +
-7003 *cosdeg(0 * $D + 1 * $M - 2 * $Mp + 0 * $F )*$E +
10056 *cosdeg(2 * $D - 1 * $M - 2 * $Mp + 0 * $F )*$E +
6322 *cosdeg(1 * $D + 0 * $M + 1 * $Mp + 0 * $F ) +
-9884 *cosdeg(2 * $D - 2 * $M + 0 * $Mp + 0 * $F )*$E*$E +
5751 *cosdeg(0 * $D + 1 * $M + 2 * $Mp + 0 * $F )*$E +
-4950 *cosdeg(2 * $D - 2 * $M - 1 * $Mp + 0 * $F )*$E*$E +
4130 *cosdeg(2 * $D + 0 * $M + 1 * $Mp - 2 * $F )+
-3958 *cosdeg(4 * $D - 1 * $M - 1 * $Mp + 0 * $F )*$E +
3258 *cosdeg(3 * $D + 0 * $M - 1 * $Mp + 0 * $F )+
2616 *cosdeg(2 * $D + 1 * $M + 1 * $Mp + 0 * $F )*$E +
-1897 *cosdeg(4 * $D - 1 * $M - 2 * $Mp + 0 * $F )*$E +
-2117 *cosdeg(0 * $D + 2 * $M - 1 * $Mp + 0 * $F )*$E*$E +
2354 *cosdeg(2 * $D + 2 * $M - 1 * $Mp + 0 * $F )*$E*$E +
-1423 *cosdeg(4 * $D + 0 * $M + 1 * $Mp + 0 * $F )+
-1117 *cosdeg(0 * $D + 0 * $M + 4 * $Mp + 0 * $F )+
-1571 *cosdeg(4 * $D - 1 * $M + 0 * $Mp + 0 * $F )*$E +
-1739 *cosdeg(1 * $D + 0 * $M - 2 * $Mp + 0 * $F )+
-4421 *cosdeg(0 * $D + 0 * $M + 2 * $Mp - 2 * $F )+
1165 *cosdeg(0 * $D + 2 * $M + 1 * $Mp + 0 * $F )*$E*$E +
8752 *cosdeg(2 * $D + 0 * $M - 1 * $Mp - 2 * $F );
my $Sb= 5128122 *sindeg( 1 * $F ) +
280602 *sindeg( 1 * $Mp + 1 * $F ) +
277693 *sindeg( 1 * $Mp - 1 * $F ) +
173237 *sindeg(2 * $D - 1 * $F ) +
55413 *sindeg(2 * $D -1 * $Mp + 1 * $F ) +
46271 *sindeg(2 * $D + -1 * $Mp - 1 * $F ) +
32573 *sindeg(2 * $D + 1 * $F ) +
17198 *sindeg( 2 * $Mp + 1 * $F )+
9266 *sindeg(2 * $D + 0 * $M + 1 * $Mp - 1 * $F ) +
8822 *sindeg(0 * $D + 0 * $M + 2 * $Mp - 1 * $F ) +
8216 *sindeg(2 * $D - 1 * $M + 0 * $Mp - 1 * $F )*$E +
4324 *sindeg(2 * $D + 0 * $M - 2 * $Mp - 1 * $F ) +
4200 *sindeg(2 * $D + 0 * $M + 1 * $Mp + 1 * $F ) +
-3359 *sindeg(2 * $D + 1 * $M + 0 * $Mp - 1 * $F )*$E +
2463 *sindeg(2 * $D - 1 * $M - 1 * $Mp + 1 * $F )*$E +
2211 *sindeg(2 * $D - 1 * $M + 0 * $Mp + 1 * $F )*$E +
2065 *sindeg(2 * $D - 1 * $M - 1 * $Mp - 1 * $F )*$E +
-1870 *sindeg(0 * $D + 1 * $M - 1 * $Mp - 1 * $F )*$E +
1828 *sindeg(4 * $D + 0 * $M - 1 * $Mp - 1 * $F ) +
-1794 *sindeg(0 * $D + 1 * $M + 0 * $Mp + 1 * $F )*$E +
-1749 *sindeg(0 * $D + 0 * $M + 0 * $Mp + 3 * $F ) +
-1565 *sindeg(0 * $D + 1 * $M - 1 * $Mp + 1 * $F )*$E +
-1491 *sindeg(1 * $D + 0 * $M + 0 * $Mp + 1 * $F ) +
-1475 *sindeg(0 * $D + 1 * $M + 1 * $Mp + 1 * $F )*$E +
-1410 *sindeg(0 * $D + 1 * $M + 1 * $Mp - 1 * $F )*$E +
-1344 *sindeg(0 * $D + 1 * $M + 0 * $Mp - 1 * $F )*$E +
-1335 *sindeg(1 * $D + 0 * $M + 0 * $Mp - 1 * $F ) +
1107 *sindeg(0 * $D + 0 * $M + 3 * $Mp + 1 * $F ) +
1021 *sindeg(4 * $D + 0 * $M + 0 * $Mp - 1 * $F ) +
833 *sindeg(4 * $D + 0 * $M - 1 * $Mp + 1 * $F ) +
777 *sindeg(0 * $D + 0 * $M + 1 * $Mp - 3 * $F ) +
671 *sindeg(4 * $D + 0 * $M - 2 * $Mp + 1 * $F ) +
607 *sindeg(2 * $D + 0 * $M + 0 * $Mp - 3 * $F ) +
596 *sindeg(2 * $D + 0 * $M + 2 * $Mp - 1 * $F ) +
491 *sindeg(2 * $D - 1 * $M + 1 * $Mp - 1 * $F )*$E +
-451 *sindeg(2 * $D + 0 * $M - 2 * $Mp + 1 * $F ) +
439 *sindeg(0 * $D + 0 * $M + 3 * $Mp - 1 * $F ) +
422 *sindeg(2 * $D + 0 * $M + 2 * $Mp + 1 * $F ) +
421 *sindeg(2 * $D + 0 * $M - 3 * $Mp - 1 * $F ) +
-366 *sindeg(2 * $D + 1 * $M - 1 * $Mp + 1 * $F )*$E +
-351 *sindeg(2 * $D + 1 * $M + 0 * $Mp + 1 * $F )*$E +
331 *sindeg(4 * $D + 0 * $M + 0 * $Mp + 1 * $F ) +
315 *sindeg(2 * $D - 1 * $M + 1 * $Mp + 1 * $F )*$E +
302 *sindeg(2 * $D - 2 * $M + 0 * $Mp - 1 * $F )*$E*$E +
-283 *sindeg(0 * $D + 0 * $M + 1 * $Mp + 3 * $F ) +
-229 *sindeg(2 * $D + 1 * $M + 1 * $Mp - 1 * $F )*$E +
223 *sindeg(1 * $D + 1 * $M + 0 * $Mp - 1 * $F )*$E +
223 *sindeg(1 * $D + 1 * $M + 0 * $Mp + 1 * $F )*$E +
-220 *sindeg(0 * $D + 1 * $M - 2 * $Mp - 1 * $F )*$E +
-220 *sindeg(2 * $D + 1 * $M - 1 * $Mp - 1 * $F )*$E +
-185 *sindeg(1 * $D + 0 * $M + 1 * $Mp + 1 * $F ) +
181 *sindeg(2 * $D - 1 * $M - 2 * $Mp - 1 * $F )*$E +
-177 *sindeg(0 * $D + 1 * $M + 2 * $Mp + 1 * $F )*$E +
176 *sindeg(4 * $D + 0 * $M - 2 * $Mp - 1 * $F ) +
166 *sindeg(4 * $D - 1 * $M - 1 * $Mp - 1 * $F )*$E +
-164 *sindeg(1 * $D + 0 * $M + 1 * $Mp - 1 * $F ) +
132 *sindeg(4 * $D + 0 * $M + 1 * $Mp - 1 * $F ) +
-119 *sindeg(1 * $D + 0 * $M - 1 * $Mp - 1 * $F ) +
115 *sindeg(4 * $D - 1 * $M + 0 * $Mp - 1 * $F )*$E +
107 *sindeg(2 * $D - 2 * $M + 0 * $Mp + 1 * $F )*$E*$E
-2235 *sindeg($Lp) + 382*sindeg($A3) +
175 *sindeg($A1-$F) + 175*sindeg($A1+$F) +
127 *sindeg($Lp-$Mp) - 115*sindeg($Lp+$Mp);
my $lambda=$Lp+$Sl/1000000.;
my $beta=$Sb/1000000.;
my $distance=385000.56 + $Sr/1000.;
my $epsilon = 23+26./60.+21.448/(60.*60.);
my $alpha=atan2(cosdeg($epsilon)*sindeg($lambda)-tandeg($beta)*sindeg($epsilon),cosdeg($lambda))*$r2d;
$alpha = reduce_angle_to_360($alpha);
my $delta=asin(cosdeg($beta)*sindeg($epsilon)*sindeg($lambda)+sindeg($beta)*cosdeg($epsilon))*$r2d;
$delta = reduce_angle_to_360($delta);
# $phase will be the "moon phase angle" from p. 346 of Meeus' book...
my $phase=180.0 - $D - 6.289 *sindeg($Mp)
+ 2.100 *sindeg($M)
- 1.274 *sindeg(2.*$D - $Mp)
- 0.658 *sindeg(2.*$D)
- 0.214 *sindeg(2.*$Mp)
- 0.110 *sindeg($D);
# $illum_frac is the fraction of the disk that is illuminated, and will be
# zero at new moon and 1.0 at full moon.
my $illum_frac = (1.0 + cosdeg( $phase ))/2.;
return ($alpha,$delta,$distance,$illum_frac);
}
sub get_sun_alpha_delta
{
#
# Calculate Sun's right ascension and declination
#
my $tt = shift;
my $L0 = 280.46646+36000.76983*$tt+0.0003032*($tt^2);
$L0=reduce_angle_to_360($L0);
my $M = 357.52911 + 35999.05029*$tt-0.0001537*($tt^2);
$M=reduce_angle_to_360($M);
my $C = (1.914602 - 0.004817*$tt-0.000014*($tt^2))*sindeg($M) +
(0.019993 - 0.000101*$tt)*sindeg(2*$M) +
0.000289*sindeg(3*$M);
my $OMEGA = 125.04 - 1934.136*$tt;
my $lambda=$L0+$C-0.00569-0.00478*sindeg($OMEGA);
my $epsilon = 23+26./60.+21.448/(60.*60.);
my $alpha=atan2(cosdeg($epsilon)*sindeg($lambda),cosdeg($lambda))*$r2d;
$alpha = reduce_angle_to_360($alpha);
my $delta=asin(sin($epsilon*$d2r)*sin($lambda*$d2r))*$r2d;
$delta = reduce_angle_to_360($delta);
return ($alpha,$delta);
}
sub get_satellite_pos
{
#
# This code was translated more-or-less directly from the Pascal
# routines contained in a report compiled by TS Kelso and based on:
# Spacetrack Report No. 3
# "Models for Propagation of NORAD Element Sets"
# Felix R. Hoots, Ronald L Roehrich
# December 1980
#
# See TS Kelso's web site for more details...
# Only the SGP propagation model is implemented.
#
# Steve Franke, K9AN. 9 Dec 1999.
#
#NOAA 15
#1 25338U 98030A 99341.00000000 +.00000376 +00000-0 +18612-3 0 05978
#2 25338 098.6601 008.2003 0011401 112.4684 042.5140 14.23047277081382
#TDRS 5
#1 21639U 91054B 99341.34471854 .00000095 00000-0 10000-3 0 4928
#2 21639 1.5957 88.4884 0003028 161.6582 135.4323 1.00277774 30562
#OSCAR 16 (PACSAT)
#1 20439U 90005D 99341.14501399 +.00000343 +00000-0 +14841-3 0 02859
#2 20439 098.4690 055.0032 0012163 066.4615 293.7842 14.30320285515297
#
#Temporary keps database...
#
my $jtime = shift;
my $lat = shift;
my $lon = shift;
my $alt = shift;
my $satname = shift;
my $sat_ref = $keps{$satname};
#printf("$jtime $lat $lon $alt Satellite name = $satname\n");
my $qo=120;
my $so=78;
my $xj2=1.082616e-3;
my $xj3=-.253881e-5;
my $xj4=-1.65597e-6;
my $xke=.743669161e-1;
my $xkmper=6378.135;
my $xmnpda=1440.;
my $ae=1.;
my $ck2=.5*$xj2*$ae**2;
my $ck4=-.375*$xj4*$ae**4;
my $qoms2t=(($qo-$so)*$ae/$xkmper)**4;
my $s=$ae*(1+$so/$xkmper);
my $epoch = $sat_ref ->{epoch};
#printf("epoch = %10.2f\n",$epoch);
my $jt_epoch=Julian_Date_of_Epoch($epoch);
#printf("JT for epoch = %17.12f\n",$jt_epoch);
my $tsince=($jtime-$jt_epoch)*24*60;
#printf("tsince (min) = %17.12f\n",$tsince);
my $mm1 = $sat_ref ->{mm1};
my $mm2 = $sat_ref ->{mm2};
my $bstar=$sat_ref ->{bstar}; # drag term for sgp4 model
my $inclination=$sat_ref->{inclination}; # inclination in degrees
my $raan=$sat_ref->{raan}; # right ascension of ascending node in degs
my $eccentricity=$sat_ref ->{eccentricity}; # eccentricity - dimensionless
my $omegao=$sat_ref ->{argperigee}; # argument of perigee in degs
my $xmo=$sat_ref ->{meananomaly}; # mean anomaly in degrees
my $xno=$sat_ref ->{meanmotion}; # mean motion in revs per day
#printf("%10.6f %10.6f %10.6f %10.6f %10.6f %10.6f %10.6f %10.6f %10.6f\n",
#$mm1,$mm2,$bstar,$inclination,$raan,$eccentricity,$omegao,$xmo,$xno);
$raan=$raan*$d2r;
$omegao=$omegao*$d2r;
$xmo=$xmo*$d2r;
$inclination=$inclination*$d2r;
my $temp=2*$pi/$xmnpda/$xmnpda;
$xno=$xno*$temp*$xmnpda;
$mm1=$mm1*$temp;
$mm2=$mm2*$temp/$xmnpda;
my $c1=$ck2*1.5;
my $c2=$ck2/4.0;
my $c3=$ck2/2.0;
my $c4=$xj3*$ae**3/(4*$ck2);
my $cosio=cos($inclination);
my $sinio=sin($inclination);
my $a1=($xke/$xno)**(2./3.);
my $d1=$c1/$a1/$a1*(3*$cosio*$cosio-1)/(1-$eccentricity*$eccentricity)**1.5;
my $ao=$a1*(1-1./3.*$d1-$d1*$d1-134./81.*$d1*$d1*$d1);
my $po=$ao*(1-$eccentricity*$eccentricity);
$qo=$ao*(1-$eccentricity);
my $xlo=$xmo+$omegao+$raan;
my $d10=$c3*$sinio*$sinio;
my $d20=$c2*(7.*$cosio*$cosio-1);
my $d30=$c1*$cosio;
my $d40=$d30*$sinio;
my $po2no=$xno/($po*$po);
my $omgdt=$c1*$po2no*(5.*$cosio*$cosio-1);
my $xnodot=-2.*$d30*$po2no;
my $c5=0.5*$c4*$sinio*(3+5*$cosio)/(1+$cosio);
my $c6=$c4*$sinio;
my $a=$xno+(2*$mm1+3*$mm2*$tsince)*$tsince;
$a=$ao*($xno/$a)**(2./3.);
my $e=1e-6;
$e =1-$qo/$a if ($a > $qo);
my $p=$a*(1-$e*$e);
my $xnodes=$raan+$xnodot*$tsince;
my $omgas=$omegao+$omgdt*$tsince;
my $xls=mod2p($xlo+($xno+$omgdt+$xnodot+($mm1+$mm2*$tsince)*$tsince)*$tsince);
my $axnsl=$e*cos($omgas);
my $aynsl=$e*sin($omgas)-$c6/$p;
my $xl=mod2p($xls-$c5/$p*$axnsl);
my $u=mod2p($xl-$xnodes);
my $item3;
my $eo1=$u;
my $tem5=1;
my $coseo1=0;
my $sineo1=0;
for ($item3=0; abs($tem5) >= 1e-6 && $item3 < 10; $item3++ )
{
$sineo1=sin($eo1);
$coseo1=cos($eo1);
$tem5=1-$coseo1*$axnsl-$sineo1*$aynsl;
$tem5=($u-$aynsl*$coseo1+$axnsl*$sineo1-$eo1)/$tem5;
my $tem2=abs($tem5);
$tem5=$tem2/$tem5 if ($tem2 > 1);
$eo1=$eo1+$tem5;
}
$sineo1=sin($eo1);
$coseo1=cos($eo1);
my $ecose=$axnsl*$coseo1+$aynsl*$sineo1;
my $esine=$axnsl*$sineo1-$aynsl*$coseo1;
my $el2=$axnsl*$axnsl+$aynsl*$aynsl;
my $pl=$a*(1-$el2);
my $pl2=$pl*$pl;
my $r=$a*(1-$ecose);
my $rdot=$xke*sqrt($a)/$r*$esine;
my $rvdot=$xke*sqrt($pl)/$r;
$temp=$esine/(1+sqrt(1-$el2));
my $sinu=$a/$r*($sineo1-$aynsl-$axnsl*$temp);
my $cosu=$a/$r*($coseo1-$axnsl+$aynsl*$temp);
my $su=atan2($sinu,$cosu);
my $sin2u=($cosu+$cosu)*$sinu;
my $cos2u=1-2*$sinu*$sinu;
my $rk=$r+$d10/$pl*$cos2u;
my $uk=$su-$d20/$pl2*$sin2u;
my $xnodek=$xnodes+$d30*$sin2u/$pl2;
my $xinck=$inclination+$d40/$pl2*$cos2u;
my $sinuk=sin($uk);
my $cosuk=cos($uk);
my $sinnok=sin($xnodek);
my $cosnok=cos($xnodek);
my $sinik=sin($xinck);
my $cosik=cos($xinck);
my $xmx=-$sinnok*$cosik;
my $xmy=$cosnok*$cosik;
my $ux=$xmx*$sinuk+$cosnok*$cosuk;
my $uy=$xmy*$sinuk+$sinnok*$cosuk;
my $uz=$sinik*$sinuk;
my $vx=$xmx*$cosuk-$cosnok*$sinuk;
my $vy=$xmy*$cosuk-$sinnok*$sinuk;
my $vz=$sinik*$cosuk;
my $x=$rk*$ux*$xkmper/$ae;
my $y=$rk*$uy*$xkmper/$ae;
my $z=$rk*$uz*$xkmper/$ae;
my $xdot=$rdot*$ux;
my $ydot=$rdot*$uy;
my $zdot=$rdot*$uz;
$xdot=($rvdot*$vx+$xdot)*$xkmper/$ae*$xmnpda/86400;
$ydot=($rvdot*$vy+$ydot)*$xkmper/$ae*$xmnpda/86400;
$zdot=($rvdot*$vz+$zdot)*$xkmper/$ae*$xmnpda/86400;
#printf("x=%17.6f y=%17.6f z=%17.6f \n",$x,$y,$z);
#printf("xdot=%17.6f ydot=%17.6f zdot=%17.6f \n",$xdot,$ydot,$zdot);
my ($sat_lat,$sat_lon,$sat_alt,$sat_theta)=Calculate_LatLonAlt($x,$y,$z,$jtime);
my ($az, $el, $distance) = Calculate_Obs($x,$y,$z,$sat_theta,$xdot,$ydot,$zdot,$jtime,$lat,$lon,$alt);
return ($sat_lat,$sat_lon,$sat_alt,$az,$el,$distance);
}
sub Calculate_LatLonAlt
{
#
# convert from ECI coordinates to latitude, longitude and altitude.
#
my $x=shift;
my $y=shift;
my $z=shift;
my $time=shift;
my $theta=atan2($y,$x);
my $lon=mod2p($theta-ThetaG_JD($time));
my $range=sqrt($x**2+$y**2);
my $f=1/298.26; # earth flattening constant
my $e2=$f*(2-$f);
my $xkmper=6378.135;
my $lat=atan2($z,$range);
my ($phi,$c);
do
{
$phi=$lat;
$c=1/sqrt(1-$e2*sin($phi)**2);
$lat=atan2($z+$xkmper*$c*$e2*sin($phi),$range);
} until abs($lat-$phi) < 1e-10;
my $alt=$range/cos($lat)-$xkmper*$c;
return ($lat,$lon,$alt,$theta); # radians and kilometers
}
sub Calculate_User_PosVel
{
# change from lat/lon/alt/time coordinates to earth centered inertial (ECI)
# position and local hour angle.
my $lat=shift;
my $lon=shift;
my $alt=shift;
my $time=shift;
my $theta=mod2p(ThetaG_JD($time)+$lon);
my $omega_E=1.00273790934; # earth rotations per sidereal day
my $secday=86400;
my $mfactor=2*$pi*$omega_E/$secday;
my $f=1/298.26; # earth flattening constant
my $xkmper=6378.135;
my $c=1/sqrt(1+$f*($f-2)*sin($lat)**2);
my $s=(1-$f)*(1-$f)*$c;
my $achcp=($xkmper*$c+$alt)*cos($lat);
my $x_user=$achcp*cos($theta);
my $y_user=$achcp*sin($theta);
my $z_user=($xkmper*$s+$alt)*sin($lat);
my $xdot_user=-$mfactor*$y_user;
my $ydot_user=$mfactor*$x_user;
my $zdot_user=0;
return ($x_user,$y_user,$z_user,$xdot_user,$ydot_user,$zdot_user,$theta);
}
sub Calculate_Obs
{
# calculate the azimuth/el of an object as viewed from observers position
# with object position given in ECI coordinates and observer in lat/long/alt.
#
# inputs: object ECI position vector (km)
# object velocity vector (km/s)
# julian time
# observer lat,lon,altitude (km)
my $x=shift;
my $y=shift;
my $z=shift;
my $theta_s=shift;
my $xdot=shift;
my $ydot=shift;
my $zdot=shift;
my $time=shift;
my $lat=shift;
my $lon=shift;
my $alt=shift;
my ($x_o,$y_o,$z_o,$xdot_o,$ydot_o,$zdot_o,$theta)=
Calculate_User_PosVel($lat,$lon,$alt,$time);
my $xx=$x-$x_o;
my $yy=$y-$y_o;
my $zz=$z-$z_o;
my $xxdot=$xdot-$xdot_o;
my $yydot=$ydot-$ydot_o;
my $zzdot=$zdot-$zdot_o;
my $sin_lat=sin($lat);
my $cos_lat=cos($lat);
my $sin_theta=sin($theta);
my $cos_theta=cos($theta);
my $top_s=$sin_lat*$cos_theta*$xx
+ $sin_lat*$sin_theta*$yy
- $cos_lat*$zz;
my $top_e=-$sin_theta*$xx
+ $cos_theta*$yy;
my $top_z=$cos_lat*$cos_theta*$xx
+ $cos_lat*$sin_theta*$yy
+ $sin_lat*$zz;
my $az=atan(-$top_e/$top_s);
$az=$az+$pi if ( $top_s > 0 );
$az=$az+2*$pi if ( $az < 0 );
my $range=sqrt($xx*$xx+$yy*$yy+$zz*$zz);
my $el=asin($top_z/$range);
return ($az, $el, $range);
}
sub Calendar_date_and_time_from_JD
{
my ($jd,$z,$frac,$alpha,$a,$b,$c,$d,$e,$dom,$yr,$mon,$day,$hr,$min);
$jd=shift;
$jd=$jd+0.5;
$z=int($jd);
$frac=$jd-$z;
$alpha = int( ($z-1867216.5)/36524.25 );
$a=$z + 1 + $alpha - int($alpha/4);
$a=$z if( $z < 2299161 );
$b=$a+1524;
$c=int(($b-122.1)/365.25);
$d=int(365.25*$c);
$e=int(($b-$d)/30.6001);
$dom=$b-$d-int(30.6001*$e)+$frac;
$day=int($dom);
$mon=$e-1 if( $e < 14 );
$mon=$e-13 if( $e == 14 || $e == 15 );
$yr = $c-4716 if( $mon > 2 );
$yr = $c-4715 if( $mon == 1 || $mon == 2 );
$hr = int($frac*24);
$min= int(($frac*24 - $hr)*60+0.5);
if ($min == 60) { # this may well prove inadequate DJK
$hr += 1;
$min = 0;
}
return ($yr,$mon,$day,$hr,$min);
}
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