|
1
|
|
|
<?php |
|
2
|
|
|
/** |
|
3
|
|
|
* Ported from gpredict to PHP by Bill Shupp. License: GPL 2. |
|
4
|
|
|
*/ |
|
5
|
|
|
|
|
6
|
|
|
require_once 'Exception.php'; |
|
7
|
|
|
|
|
8
|
|
|
/** |
|
9
|
|
|
* Predict_TLE |
|
10
|
|
|
* |
|
11
|
|
|
* All routines for parsing and validating NORAD two line element sets |
|
12
|
|
|
*/ |
|
13
|
|
|
class Predict_TLE |
|
14
|
|
|
{ |
|
15
|
|
|
public $header; /* Header line of TLE file */ |
|
16
|
|
|
public $line1; /* Line 1 of TLE */ |
|
17
|
|
|
public $line2; /* Line 2 of TLE */ |
|
18
|
|
|
public $epoch; /*!< Epoch Time in NORAD TLE format YYDDD.FFFFFFFF */ |
|
19
|
|
|
public $epoch_year; /*!< Epoch: year */ |
|
20
|
|
|
public $epoch_day; /*!< Epoch: day of year */ |
|
21
|
|
|
public $epoch_fod; /*!< Epoch: Fraction of day. */ |
|
22
|
|
|
public $xndt2o; /*!< 1. time derivative of mean motion */ |
|
23
|
|
|
public $xndd6o; /*!< 2. time derivative of mean motion */ |
|
24
|
|
|
public $bstar; /*!< Bstar drag coefficient. */ |
|
25
|
|
|
public $xincl; /*!< Inclination */ |
|
26
|
|
|
public $xnodeo; /*!< R.A.A.N. */ |
|
27
|
|
|
public $eo; /*!< Eccentricity */ |
|
28
|
|
|
public $omegao; /*!< argument of perigee */ |
|
29
|
|
|
public $xmo; /*!< mean anomaly */ |
|
30
|
|
|
public $xno; /*!< mean motion */ |
|
31
|
|
|
|
|
32
|
|
|
public $catnr; /*!< Catalogue Number. */ |
|
33
|
|
|
public $elset; /*!< Element Set number. */ |
|
34
|
|
|
public $revnum; /*!< Revolution Number at epoch. */ |
|
35
|
|
|
|
|
36
|
|
|
public $sat_name; /*!< Satellite name string. */ |
|
37
|
|
|
public $idesg; /*!< International Designator. */ |
|
38
|
|
|
public $status; /*!< Operational status. */ |
|
39
|
|
|
|
|
40
|
|
|
/* values needed for squint calculations */ |
|
41
|
|
|
public $xincl1; |
|
42
|
|
|
public $xnodeo1; |
|
43
|
|
|
public $omegao1; |
|
44
|
|
|
|
|
45
|
|
|
|
|
46
|
|
|
/* Converts the strings in a raw two-line element set */ |
|
47
|
|
|
/* to their intended numerical values. No processing */ |
|
48
|
|
|
/* of these values is done, e.g. from deg to rads etc. */ |
|
49
|
|
|
/* This is done in the select_ephemeris() function. */ |
|
50
|
|
|
public function __construct($header, $line1, $line2) |
|
51
|
|
|
{ |
|
52
|
|
|
if (!$this->Good_Elements($line1, $line2)) { |
|
53
|
|
|
throw new Predict_Exception('Invalid TLE contents'); |
|
54
|
|
|
} |
|
55
|
|
|
|
|
56
|
|
|
$this->header = $header; |
|
57
|
|
|
$this->line1 = $line1; |
|
58
|
|
|
$this->line2 = $line2; |
|
59
|
|
|
|
|
60
|
|
|
/** Decode Card 1 **/ |
|
61
|
|
|
/* Satellite's catalogue number */ |
|
62
|
|
|
$this->catnr = (int) substr($line1, 2, 5); |
|
63
|
|
|
|
|
64
|
|
|
/* International Designator for satellite */ |
|
65
|
|
|
$this->idesg = substr($line1, 9, 8); |
|
66
|
|
|
|
|
67
|
|
|
/* Epoch time; this is the complete, unconverted epoch. */ |
|
68
|
|
|
/* Replace spaces with 0 before casting, as leading spaces are allowed */ |
|
69
|
|
|
$this->epoch = (float) str_replace(' ', '0', substr($line1, 18, 14)); |
|
70
|
|
|
|
|
71
|
|
|
/* Now, convert the epoch time into year, day |
|
72
|
|
|
and fraction of day, according to: |
|
73
|
|
|
|
|
74
|
|
|
YYDDD.FFFFFFFF |
|
75
|
|
|
*/ |
|
76
|
|
|
|
|
77
|
|
|
// Adjust for 2 digit year through 2056 |
|
78
|
|
|
$this->epoch_year = (int) substr($line1, 18, 2); |
|
79
|
|
|
if ($this->epoch_year > 56) { |
|
80
|
|
|
$this->epoch_year = $this->epoch_year + 1900; |
|
81
|
|
|
} else { |
|
82
|
|
|
$this->epoch_year = $this->epoch_year + 2000; |
|
83
|
|
|
} |
|
84
|
|
|
|
|
85
|
|
|
/* Epoch day */ |
|
86
|
|
|
$this->epoch_day = (int) substr($line1, 20, 3); |
|
87
|
|
|
|
|
88
|
|
|
/* Epoch fraction of day */ |
|
89
|
|
|
$this->epoch_fod = (float) substr($line1, 23, 9); |
|
90
|
|
|
|
|
91
|
|
|
|
|
92
|
|
|
/* Satellite's First Time Derivative */ |
|
93
|
|
|
$this->xndt2o = (float) substr($line1, 33, 10); |
|
94
|
|
|
|
|
95
|
|
|
/* Satellite's Second Time Derivative */ |
|
96
|
|
|
$this->xndd6o = (float) (substr($line1, 44, 1) . '.' . substr($line1, 45, 5) . 'E' . substr($line1, 50, 2)); |
|
97
|
|
|
|
|
98
|
|
|
/* Satellite's bstar drag term |
|
99
|
|
|
FIXME: How about buff[0] ???? |
|
100
|
|
|
*/ |
|
101
|
|
|
$this->bstar = (float) (substr($line1, 53, 1) . '.' . substr($line1, 54, 5) . 'E' . substr($line1, 59, 2)); |
|
102
|
|
|
|
|
103
|
|
|
/* Element Number */ |
|
104
|
|
|
$this->elset = (int) substr($line1, 64, 4); |
|
105
|
|
|
|
|
106
|
|
|
/** Decode Card 2 **/ |
|
107
|
|
|
/* Satellite's Orbital Inclination (degrees) */ |
|
108
|
|
|
$this->xincl = (float) substr($line2, 8, 8); |
|
109
|
|
|
|
|
110
|
|
|
/* Satellite's RAAN (degrees) */ |
|
111
|
|
|
$this->xnodeo = (float) substr($line2, 17, 8); |
|
112
|
|
|
|
|
113
|
|
|
/* Satellite's Orbital Eccentricity */ |
|
114
|
|
|
$this->eo = (float) ('.' . substr($line2, 26, 7)); |
|
115
|
|
|
|
|
116
|
|
|
/* Satellite's Argument of Perigee (degrees) */ |
|
117
|
|
|
$this->omegao = (float) substr($line2, 34, 8); |
|
118
|
|
|
|
|
119
|
|
|
/* Satellite's Mean Anomaly of Orbit (degrees) */ |
|
120
|
|
|
$this->xmo = (float) substr($line2, 43, 8); |
|
121
|
|
|
|
|
122
|
|
|
/* Satellite's Mean Motion (rev/day) */ |
|
123
|
|
|
$this->xno = (float) substr($line2, 52, 11); |
|
124
|
|
|
|
|
125
|
|
|
/* Satellite's Revolution number at epoch */ |
|
126
|
|
|
$this->revnum = (float) substr($line2, 63, 5); |
|
127
|
|
|
} |
|
128
|
|
|
|
|
129
|
|
|
/* Calculates the checksum mod 10 of a line from a TLE set and */ |
|
130
|
|
|
/* returns true if it compares with checksum in column 68, else false.*/ |
|
131
|
|
|
/* tle_set is a character string holding the two lines read */ |
|
132
|
|
|
/* from a text file containing NASA format Keplerian elements. */ |
|
133
|
|
|
/* NOTE!!! The stuff about two lines is not quite true. |
|
134
|
|
|
The function assumes that tle_set[0] is the begining |
|
135
|
|
|
of the line and that there are 68 elements - see the consumer |
|
136
|
|
|
*/ |
|
137
|
|
|
public function Checksum_Good($tle_set) |
|
138
|
|
|
{ |
|
139
|
|
|
if (strlen($tle_set) < 69) { |
|
140
|
|
|
return false; |
|
141
|
|
|
} |
|
142
|
|
|
|
|
143
|
|
|
$checksum = 0; |
|
144
|
|
|
|
|
145
|
|
|
for ($i = 0; $i < 68; $i++) { |
|
146
|
|
|
if (($tle_set[$i] >= '0') && ($tle_set[$i] <= '9')) { |
|
147
|
|
|
$value = $tle_set[$i] - '0'; |
|
148
|
|
|
} else if ($tle_set[$i] == '-' ) { |
|
149
|
|
|
$value = 1; |
|
150
|
|
|
} else { |
|
151
|
|
|
$value = 0; |
|
152
|
|
|
} |
|
153
|
|
|
|
|
154
|
|
|
$checksum += $value; |
|
155
|
|
|
} |
|
156
|
|
|
|
|
157
|
|
|
$checksum %= 10; |
|
158
|
|
|
$check_digit = $tle_set[68] - '0'; |
|
159
|
|
|
|
|
160
|
|
|
return $checksum == $check_digit; |
|
161
|
|
|
} |
|
162
|
|
|
|
|
163
|
|
|
/* Carries out various checks on a TLE set to verify its validity */ |
|
164
|
|
|
/* $line1 is the first line of the TLE, $line2 is the second line */ |
|
165
|
|
|
/* from a text file containing NASA format Keplerian elements. */ |
|
166
|
|
|
public function Good_Elements($line1, $line2) |
|
167
|
|
|
{ |
|
168
|
|
|
/* Verify checksum of both lines of a TLE set */ |
|
169
|
|
|
if (!$this->Checksum_Good($line1) || !$this->Checksum_Good($line2)) { |
|
170
|
|
|
return false; |
|
171
|
|
|
} |
|
172
|
|
|
|
|
173
|
|
|
/* Check the line number of each line */ |
|
174
|
|
|
if (($line1[0] != '1') || ($line2[0] != '2')) { |
|
175
|
|
|
return false; |
|
176
|
|
|
} |
|
177
|
|
|
|
|
178
|
|
|
/* Verify that Satellite Number is same in both lines */ |
|
179
|
|
|
if (strncmp($line1[2], $line2[2], 5) != 0) { |
|
180
|
|
|
return false; |
|
181
|
|
|
} |
|
182
|
|
|
|
|
183
|
|
|
/* Check that various elements are in the right place */ |
|
184
|
|
|
if (($line1[23] != '.') || |
|
185
|
|
|
($line1[34] != '.') || |
|
186
|
|
|
($line2[11] != '.') || |
|
187
|
|
|
($line2[20] != '.') || |
|
188
|
|
|
($line2[37] != '.') || |
|
189
|
|
|
($line2[46] != '.') || |
|
190
|
|
|
($line2[54] != '.') || |
|
191
|
|
|
(strncmp(substr($line1, 61), ' 0 ', 3) != 0)) { |
|
192
|
|
|
|
|
193
|
|
|
return false; |
|
194
|
|
|
} |
|
195
|
|
|
|
|
196
|
|
|
return true; |
|
197
|
|
|
} |
|
198
|
|
|
|
|
199
|
|
|
/** |
|
200
|
|
|
* A function to allow checksum creation of a line. This is driven by |
|
201
|
|
|
* the fact that some TLEs from SpaceTrack are missing checksum numbers. |
|
202
|
|
|
* You can use this to create a checksum for a line, but you should |
|
203
|
|
|
* probably have confidence that the TLE data itself is good. YMMV. |
|
204
|
|
|
* |
|
205
|
|
|
* @throws Predict_Exception if the line is not exactly 68 chars |
|
206
|
|
|
* @return string |
|
207
|
|
|
*/ |
|
208
|
|
|
static public function createChecksum($line) |
|
209
|
|
|
{ |
|
210
|
|
|
if (strlen($line) != 68) { |
|
211
|
|
|
throw Predict_Exception('Invalid line, needs to e 68 chars'); |
|
212
|
|
|
} |
|
213
|
|
|
|
|
214
|
|
|
$checksum = 0; |
|
215
|
|
|
|
|
216
|
|
|
for ($i = 0; $i < 68; $i++) { |
|
217
|
|
|
if (($line[$i] >= '0') && ($line[$i] <= '9')) { |
|
218
|
|
|
$value = (int) $line[$i]; |
|
219
|
|
|
} else if ($line[$i] == '-' ) { |
|
220
|
|
|
$value = 1; |
|
221
|
|
|
} else { |
|
222
|
|
|
$value = 0; |
|
223
|
|
|
} |
|
224
|
|
|
|
|
225
|
|
|
$checksum += $value; |
|
226
|
|
|
} |
|
227
|
|
|
|
|
228
|
|
|
$checksum %= 10; |
|
229
|
|
|
|
|
230
|
|
|
return $checksum; |
|
231
|
|
|
} |
|
232
|
|
|
} |
|
233
|
|
|
|