
2550 DEC. 13, 14, 15 (SUN, MON, TUE)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
13 0 | 81 48.2 | 131 56.0 S20 54.0 | 136 17.4 S20 42.8 | 232 52.5 S10 35.1 | 135 09.8 S19 31.0
1 | 96 50.7 | 146 55.6 S20 53.2 | 151 17.8 S20 42.3 | 247 54.6 S10 35.3 | 150 12.1 S19 30.9
2 | 111 53.1 | 161 55.2 S20 52.5 | 166 18.3 S20 41.9 | 262 56.6 S10 35.4 | 165 14.3 S19 30.9
3 | 126 55.6 | 176 54.7 S20 51.7 | 181 18.8 S20 41.4 | 277 58.7 S10 35.6 | 180 16.5 S19 30.8
4 | 141 58.1 | 191 54.3 S20 50.9 | 196 19.2 S20 41.0 | 293 00.7 S10 35.7 | 195 18.7 S19 30.8
S 5 | 157 00.5 | 206 53.9 S20 50.1 | 211 19.7 S20 40.5 | 308 02.8 S10 35.8 | 210 20.9 S19 30.7
U
N 6 | 172 03.0 | 221 53.5 S20 49.4 | 226 20.1 S20 40.0 | 323 04.8 S10 36.0 | 225 23.1 S19 30.7
D 7 | 187 05.5 | 236 53.1 S20 48.6 | 241 20.6 S20 39.6 | 338 06.9 S10 36.1 | 240 25.4 S19 30.6
A 8 | 202 07.9 | 251 52.7 S20 47.8 | 256 21.0 S20 39.1 | 353 08.9 S10 36.3 | 255 27.6 S19 30.6
Y 9 | 217 10.4 | 266 52.3 S20 47.0 | 271 21.5 S20 38.7 | 8 11.0 S10 36.4 | 270 29.8 S19 30.5
10 | 232 12.8 | 281 51.9 S20 46.3 | 286 21.9 S20 38.2 | 23 13.1 S10 36.6 | 285 32.0 S19 30.4
11 | 247 15.3 | 296 51.5 S20 45.5 | 301 22.4 S20 37.7 | 38 15.1 S10 36.7 | 300 34.2 S19 30.4
12 | 262 17.8 | 311 51.1 S20 44.7 | 316 22.9 S20 37.3 | 53 17.2 S10 36.9 | 315 36.4 S19 30.3
13 | 277 20.2 | 326 50.7 S20 43.9 | 331 23.3 S20 36.8 | 68 19.2 S10 37.0 | 330 38.6 S19 30.3
14 | 292 22.7 | 341 50.3 S20 43.1 | 346 23.8 S20 36.3 | 83 21.3 S10 37.1 | 345 40.8 S19 30.2
15 | 307 25.2 | 356 49.9 S20 42.4 | 1 24.2 S20 35.9 | 98 23.3 S10 37.3 | 0 43.1 S19 30.2
16 | 322 27.6 | 11 49.5 S20 41.6 | 16 24.7 S20 35.4 | 113 25.4 S10 37.4 | 15 45.3 S19 30.1
17 | 337 30.1 | 26 49.1 S20 40.8 | 31 25.1 S20 35.0 | 128 27.4 S10 37.6 | 30 47.5 S19 30.1
18 | 352 32.6 | 41 48.7 S20 40.0 | 46 25.6 S20 34.5 | 143 29.5 S10 37.7 | 45 49.7 S19 30.0
19 | 7 35.0 | 56 48.3 S20 39.2 | 61 26.0 S20 34.0 | 158 31.5 S10 37.9 | 60 51.9 S19 29.9
20 | 22 37.5 | 71 47.9 S20 38.4 | 76 26.5 S20 33.6 | 173 33.6 S10 38.0 | 75 54.1 S19 29.9
21 | 37 40.0 | 86 47.5 S20 37.6 | 91 27.0 S20 33.1 | 188 35.6 S10 38.1 | 90 56.3 S19 29.8
22 | 52 42.4 | 101 47.1 S20 36.9 | 106 27.4 S20 32.6 | 203 37.7 S10 38.3 | 105 58.6 S19 29.8
23 | 67 44.9 | 116 46.7 S20 36.1 | 121 27.9 S20 32.2 | 218 39.8 S10 38.4 | 121 00.8 S19 29.7
------+----------+-------------------+-------------------+-------------------+--------------------
14 0 | 82 47.3 | 131 46.3 S20 35.3 | 136 28.3 S20 31.7 | 233 41.8 S10 38.6 | 136 03.0 S19 29.7
1 | 97 49.8 | 146 45.9 S20 34.5 | 151 28.8 S20 31.2 | 248 43.9 S10 38.7 | 151 05.2 S19 29.6
2 | 112 52.3 | 161 45.5 S20 33.7 | 166 29.3 S20 30.8 | 263 45.9 S10 38.9 | 166 07.4 S19 29.6
3 | 127 54.7 | 176 45.1 S20 32.9 | 181 29.7 S20 30.3 | 278 48.0 S10 39.0 | 181 09.6 S19 29.5
4 | 142 57.2 | 191 44.7 S20 32.1 | 196 30.2 S20 29.8 | 293 50.0 S10 39.1 | 196 11.8 S19 29.4
M 5 | 157 59.7 | 206 44.4 S20 31.3 | 211 30.6 S20 29.4 | 308 52.1 S10 39.3 | 211 14.0 S19 29.4
O
N 6 | 173 02.1 | 221 44.0 S20 30.5 | 226 31.1 S20 28.9 | 323 54.1 S10 39.4 | 226 16.3 S19 29.3
D 7 | 188 04.6 | 236 43.6 S20 29.7 | 241 31.5 S20 28.4 | 338 56.2 S10 39.6 | 241 18.5 S19 29.3
A 8 | 203 07.1 | 251 43.2 S20 28.9 | 256 32.0 S20 27.9 | 353 58.2 S10 39.7 | 256 20.7 S19 29.2
Y 9 | 218 09.5 | 266 42.8 S20 28.1 | 271 32.5 S20 27.5 | 9 00.3 S10 39.9 | 271 22.9 S19 29.2
10 | 233 12.0 | 281 42.4 S20 27.3 | 286 32.9 S20 27.0 | 24 02.4 S10 40.0 | 286 25.1 S19 29.1
11 | 248 14.5 | 296 42.0 S20 26.5 | 301 33.4 S20 26.5 | 39 04.4 S10 40.1 | 301 27.3 S19 29.1
12 | 263 16.9 | 311 41.7 S20 25.8 | 316 33.8 S20 26.1 | 54 06.5 S10 40.3 | 316 29.5 S19 29.0
13 | 278 19.4 | 326 41.3 S20 25.0 | 331 34.3 S20 25.6 | 69 08.5 S10 40.4 | 331 31.7 S19 28.9
14 | 293 21.8 | 341 40.9 S20 24.1 | 346 34.8 S20 25.1 | 84 10.6 S10 40.6 | 346 33.9 S19 28.9
15 | 308 24.3 | 356 40.5 S20 23.3 | 1 35.2 S20 24.6 | 99 12.6 S10 40.7 | 1 36.2 S19 28.8
16 | 323 26.8 | 11 40.1 S20 22.5 | 16 35.7 S20 24.2 | 114 14.7 S10 40.9 | 16 38.4 S19 28.8
17 | 338 29.2 | 26 39.8 S20 21.7 | 31 36.1 S20 23.7 | 129 16.8 S10 41.0 | 31 40.6 S19 28.7
18 | 353 31.7 | 41 39.4 S20 20.9 | 46 36.6 S20 23.2 | 144 18.8 S10 41.1 | 46 42.8 S19 28.7
19 | 8 34.2 | 56 39.0 S20 20.1 | 61 37.1 S20 22.7 | 159 20.9 S10 41.3 | 61 45.0 S19 28.6
20 | 23 36.6 | 71 38.6 S20 19.3 | 76 37.5 S20 22.3 | 174 22.9 S10 41.4 | 76 47.2 S19 28.5
21 | 38 39.1 | 86 38.2 S20 18.5 | 91 38.0 S20 21.8 | 189 25.0 S10 41.6 | 91 49.4 S19 28.5
22 | 53 41.6 | 101 37.9 S20 17.7 | 106 38.4 S20 21.3 | 204 27.0 S10 41.7 | 106 51.6 S19 28.4
23 | 68 44.0 | 116 37.5 S20 16.9 | 121 38.9 S20 20.8 | 219 29.1 S10 41.8 | 121 53.8 S19 28.4
------+----------+-------------------+-------------------+-------------------+--------------------
15 0 | 83 46.5 | 131 37.1 S20 16.1 | 136 39.4 S20 20.4 | 234 31.2 S10 42.0 | 136 56.1 S19 28.3
1 | 98 48.9 | 146 36.8 S20 15.3 | 151 39.8 S20 19.9 | 249 33.2 S10 42.1 | 151 58.3 S19 28.3
2 | 113 51.4 | 161 36.4 S20 14.5 | 166 40.3 S20 19.4 | 264 35.3 S10 42.3 | 167 00.5 S19 28.2
3 | 128 53.9 | 176 36.0 S20 13.7 | 181 40.7 S20 18.9 | 279 37.3 S10 42.4 | 182 02.7 S19 28.1
4 | 143 56.3 | 191 35.7 S20 12.9 | 196 41.2 S20 18.5 | 294 39.4 S10 42.5 | 197 04.9 S19 28.1
T 5 | 158 58.8 | 206 35.3 S20 12.0 | 211 41.7 S20 18.0 | 309 41.5 S10 42.7 | 212 07.1 S19 28.0
U
E 6 | 174 01.3 | 221 34.9 S20 11.2 | 226 42.1 S20 17.5 | 324 43.5 S10 42.8 | 227 09.3 S19 28.0
S 7 | 189 03.7 | 236 34.6 S20 10.4 | 241 42.6 S20 17.0 | 339 45.6 S10 43.0 | 242 11.5 S19 27.9
D 8 | 204 06.2 | 251 34.2 S20 09.6 | 256 43.1 S20 16.5 | 354 47.6 S10 43.1 | 257 13.7 S19 27.9
A 9 | 219 08.7 | 266 33.8 S20 08.8 | 271 43.5 S20 16.1 | 9 49.7 S10 43.2 | 272 15.9 S19 27.8
Y 10 | 234 11.1 | 281 33.5 S20 08.0 | 286 44.0 S20 15.6 | 24 51.7 S10 43.4 | 287 18.1 S19 27.8
11 | 249 13.6 | 296 33.1 S20 07.1 | 301 44.4 S20 15.1 | 39 53.8 S10 43.5 | 302 20.4 S19 27.7
12 | 264 16.1 | 311 32.7 S20 06.3 | 316 44.9 S20 14.6 | 54 55.9 S10 43.7 | 317 22.6 S19 27.6
13 | 279 18.5 | 326 32.4 S20 05.5 | 331 45.4 S20 14.1 | 69 57.9 S10 43.8 | 332 24.8 S19 27.6
14 | 294 21.0 | 341 32.0 S20 04.7 | 346 45.8 S20 13.7 | 84 60.0 S10 44.0 | 347 27.0 S19 27.5
15 | 309 23.4 | 356 31.7 S20 03.9 | 1 46.3 S20 13.2 | 100 02.1 S10 44.1 | 2 29.2 S19 27.5
16 | 324 25.9 | 11 31.3 S20 03.0 | 16 46.8 S20 12.7 | 115 04.1 S10 44.2 | 17 31.4 S19 27.4
17 | 339 28.4 | 26 30.9 S20 02.2 | 31 47.2 S20 12.2 | 130 06.2 S10 44.4 | 32 33.6 S19 27.4
18 | 354 30.8 | 41 30.6 S20 01.4 | 46 47.7 S20 11.7 | 145 08.2 S10 44.5 | 47 35.8 S19 27.3
19 | 9 33.3 | 56 30.2 S20 00.6 | 61 48.1 S20 11.2 | 160 10.3 S10 44.6 | 62 38.0 S19 27.2
20 | 24 35.8 | 71 29.9 S19 59.8 | 76 48.6 S20 10.8 | 175 12.4 S10 44.8 | 77 40.2 S19 27.2
21 | 39 38.2 | 86 29.5 S19 58.9 | 91 49.1 S20 10.3 | 190 14.4 S10 44.9 | 92 42.4 S19 27.1
22 | 54 40.7 | 101 29.2 S19 58.1 | 106 49.5 S20 09.8 | 205 16.5 S10 45.1 | 107 44.7 S19 27.1
23 | 69 43.2 | 116 28.8 S19 57.3 | 121 50.0 S20 09.3 | 220 18.5 S10 45.2 | 122 46.9 S19 27.0
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| v -0.4 d 0.8 | v 0.5 d 0.5 | v 2.1 d 0.1 | v 2.2 d 0.1
2550 DEC. 13, 14, 15 (SUN, MON, TUE)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
13 0 | 181 45.6 S23 03.2 | 136 52.1 11.9 S16 25.5 9.5 56.0 | Acamar 310 10.4 S38 07.2
1 | 196 45.3 S23 03.3 | 151 23.1 12.0 S16 15.9 9.6 56.0 | Achernar 330 25.0 S54 27.4
2 | 211 45.0 S23 03.5 | 165 54.2 12.1 S16 06.3 9.6 55.9 | Acrux 165 35.3 S66 08.2
3 | 226 44.7 S23 03.7 | 180 25.3 12.1 S15 56.6 9.7 55.9 | Adhara 249 53.4 S29 44.5
4 | 241 44.4 S23 03.8 | 194 56.5 12.2 S15 46.8 9.8 55.9 | Albireo 61 44.2 N29 08.3
S 5 | 256 44.1 S23 04.0 | 209 27.9 12.3 S15 37.0 9.8 55.9 |
U | | | Aldebaran 283 04.3 N17 35.0
N 6 | 271 43.9 S23 04.2 | 223 59.3 12.4 S15 27.1 9.9 55.8 | Alioth 160 26.0 N52 58.6
D 7 | 286 43.6 S23 04.4 | 238 30.8 12.5 S15 17.2 10.0 55.8 | Alkaid 147 40.2 N46 34.5
A 8 | 301 43.3 S23 04.5 | 253 02.3 12.6 S15 07.2 10.0 55.8 | Al Na-ir 19 17.1 S44 17.1
Y 9 | 316 43.0 S23 04.7 | 267 34.0 12.6 S14 57.1 10.1 55.7 | Alnilam 268 55.1 S 0 52.8
10 | 331 42.7 S23 04.9 | 282 05.7 12.7 S14 47.0 10.1 55.7 |
11 | 346 42.4 S23 05.0 | 296 37.5 12.8 S14 36.8 10.2 55.7 | Alphard 211 18.1 S11 03.6
| | | Alphecca 120 28.0 N24 53.0
12 | 1 42.1 S23 05.2 | 311 09.4 12.9 S14 26.5 10.2 55.7 | Alpheratz 350 43.9 N32 07.8
13 | 16 41.9 S23 05.3 | 325 41.4 13.0 S14 16.2 10.3 55.6 | Altair 55 33.7 N10 20.9
14 | 31 41.6 S23 05.5 | 340 13.4 13.0 S14 05.9 10.4 55.6 | Ankaa 346 36.7 S39 19.7
15 | 46 41.3 S23 05.7 | 354 45.5 13.1 S13 55.5 10.4 55.6 |
16 | 61 41.0 S23 05.8 | 9 17.7 13.2 S13 45.0 10.5 55.6 | Antares 104 10.0 S27 37.1
17 | 76 40.7 S23 06.0 | 23 50.0 13.3 S13 34.5 10.5 55.5 | Arcturus 139 46.4 N16 19.9
| | | Atria 93 09.8 S69 58.7
18 | 91 40.4 S23 06.2 | 38 22.3 13.3 S13 24.0 10.6 55.5 | Avior 231 30.5 S61 17.2
19 | 106 40.1 S23 06.3 | 52 54.8 13.4 S13 13.4 10.6 55.5 | Bellatrix 271 17.4 N 6 49.0
20 | 121 39.8 S23 06.5 | 67 27.3 13.5 S13 02.7 10.7 55.5 |
21 | 136 39.6 S23 06.6 | 81 59.8 13.6 S12 52.0 10.7 55.4 | Betelgeuse 263 42.7 N 7 28.7
22 | 151 39.3 S23 06.8 | 96 32.5 13.6 S12 41.3 10.7 55.4 | Canopus 260 54.3 S53 00.6
23 | 166 39.0 S23 06.9 | 111 05.2 13.7 S12 30.5 10.8 55.4 | Capella 270 36.2 N46 30.9
------+-------------------+----------------------------------| Castor 237 32.5 N30 38.9
14 0 | 181 38.7 S23 07.1 | 125 38.0 13.8 S12 19.6 10.8 55.4 | Deneb 44 55.0 N47 15.9
1 | 196 38.4 S23 07.3 | 140 10.8 13.9 S12 08.8 10.9 55.3 |
2 | 211 38.1 S23 07.4 | 154 43.8 13.9 S11 57.8 10.9 55.3 | Denebola 175 41.3 N11 29.7
3 | 226 37.8 S23 07.6 | 169 16.7 14.0 S11 46.9 11.0 55.3 | Diphda 342 09.8 S14 58.5
4 | 241 37.5 S23 07.7 | 183 49.8 14.1 S11 35.9 11.0 55.3 | Dubhe 185 37.3 N58 46.0
M 5 | 256 37.3 S23 07.9 | 198 22.9 14.1 S11 24.8 11.0 55.2 | Elnath 269 40.7 N29 02.0
O | | | Eltanin 87 37.2 N51 26.3
N 6 | 271 37.0 S23 08.0 | 212 56.1 14.2 S11 13.8 11.1 55.2 |
D 7 | 286 36.7 S23 08.2 | 227 29.4 14.3 S11 02.6 11.1 55.2 | Enif 27 09.7 N12 24.8
A 8 | 301 36.4 S23 08.3 | 242 02.7 14.3 S10 51.5 11.2 55.2 | Fomalhaut 7 58.3 S26 42.1
Y 9 | 316 36.1 S23 08.5 | 256 36.1 14.4 S10 40.3 11.2 55.2 | Gacrux 164 29.0 S60 11.0
10 | 331 35.8 S23 08.6 | 271 09.5 14.4 S10 29.1 11.2 55.1 | Gienah 168 55.4 S20 35.5
11 | 346 35.5 S23 08.8 | 285 43.0 14.5 S10 17.8 11.3 55.1 | Hadar 139 13.0 S63 00.1
| | |
12 | 1 35.2 S23 08.9 | 300 16.6 14.6 S10 06.5 11.3 55.1 | Hamal 320 23.2 N26 02.8
13 | 16 34.9 S23 09.0 | 314 50.2 14.6 S 9 55.2 11.3 55.1 | Kaus Austr. 74 47.9 S34 05.3
14 | 31 34.6 S23 09.2 | 329 23.9 14.7 S 9 43.9 11.4 55.0 | Kochab 137 35.6 N71 54.1
15 | 46 34.4 S23 09.3 | 343 57.6 14.7 S 9 32.5 11.4 55.0 | Markab 6 54.8 N18 10.4
16 | 61 34.1 S23 09.5 | 358 31.4 14.8 S 9 21.1 11.4 55.0 | Menkar 307 11.1 N 6 13.5
17 | 76 33.8 S23 09.6 | 13 05.2 14.8 S 9 09.6 11.4 55.0 |
| | | Menkent 140 10.0 S39 03.4
18 | 91 33.5 S23 09.8 | 27 39.1 14.9 S 8 58.2 11.5 55.0 | Miaplacidus 220 10.5 S71 58.9
19 | 106 33.2 S23 09.9 | 42 13.1 15.0 S 8 46.7 11.5 54.9 | Mirfak 299 00.0 N51 47.3
20 | 121 32.9 S23 10.0 | 56 47.1 15.0 S 8 35.2 11.5 54.9 | Nunki 67 37.8 S25 34.8
21 | 136 32.6 S23 10.2 | 71 21.1 15.1 S 8 23.6 11.5 54.9 | Peacock 42 44.4 S54 56.4
22 | 151 32.3 S23 10.3 | 85 55.2 15.1 S 8 12.0 11.6 54.9 |
23 | 166 32.0 S23 10.4 | 100 29.4 15.2 S 8 00.4 11.6 54.9 | Polaris 183 01.9 N91 43.6
------+-------------------+----------------------------------| Pollux 235 13.5 N26 39.8
15 0 | 181 31.7 S23 10.6 | 115 03.6 15.2 S 7 48.8 11.6 54.8 | Procyon 237 56.2 N 3 47.2
1 | 196 31.4 S23 10.7 | 129 37.9 15.3 S 7 37.2 11.6 54.8 | Rasalhague 89 50.7 N12 11.3
2 | 211 31.2 S23 10.9 | 144 12.2 15.3 S 7 25.5 11.7 54.8 | Regulus 200 33.1 N 9 15.8
3 | 226 30.9 S23 11.0 | 158 46.5 15.3 S 7 13.8 11.7 54.8 |
4 | 241 30.6 S23 11.1 | 173 20.9 15.4 S 7 02.1 11.7 54.8 | Rigel 274 42.3 S 7 35.7
T 5 | 256 30.3 S23 11.3 | 187 55.3 15.4 S 6 50.4 11.7 54.8 | Rigil Kent 130 39.1 S63 04.7
U | | | Sabik 94 28.6 S16 22.4
E 6 | 271 30.0 S23 11.4 | 202 29.8 15.5 S 6 38.7 11.7 54.7 | Schedar 341 57.7 N59 33.1
S 7 | 286 29.7 S23 11.5 | 217 04.3 15.5 S 6 26.9 11.8 54.7 | Shaula 87 13.1 S37 28.0
D 8 | 301 29.4 S23 11.6 | 231 38.9 15.6 S 6 15.1 11.8 54.7 |
A 9 | 316 29.1 S23 11.8 | 246 13.5 15.6 S 6 03.3 11.8 54.7 | Sirius 252 36.5 S17 29.8
Y 10 | 331 28.8 S23 11.9 | 260 48.1 15.6 S 5 51.5 11.8 54.7 | Spica 151 24.3 S14 01.1
11 | 346 28.5 S23 12.0 | 275 22.8 15.7 S 5 39.7 11.8 54.7 | Suhail 217 53.4 S45 39.9
| | | Vega 76 04.5 N39 19.0
12 | 1 28.2 S23 12.2 | 289 57.5 15.7 S 5 27.9 11.8 54.6 | Zuben-ubi 129 51.0 S18 18.2
13 | 16 27.9 S23 12.3 | 304 32.3 15.7 S 5 16.0 11.9 54.6 |
14 | 31 27.6 S23 12.4 | 319 07.0 15.8 S 5 04.1 11.9 54.6 |
15 | 46 27.4 S23 12.5 | 333 41.9 15.8 S 4 52.3 11.9 54.6 |
16 | 61 27.1 S23 12.7 | 348 16.7 15.8 S 4 40.4 11.9 54.6 |
17 | 76 26.8 S23 12.8 | 2 51.6 15.9 S 4 28.5 11.9 54.6 |
| | |
18 | 91 26.5 S23 12.9 | 17 26.5 15.9 S 4 16.5 11.9 54.5 |
19 | 106 26.2 S23 13.0 | 32 01.4 15.9 S 4 04.6 11.9 54.5 |
20 | 121 25.9 S23 13.1 | 46 36.4 16.0 S 3 52.7 11.9 54.5 |
21 | 136 25.6 S23 13.3 | 61 11.4 16.0 S 3 40.8 11.9 54.5 |
22 | 151 25.3 S23 13.4 | 75 46.4 16.0 S 3 28.8 11.9 54.5 |
23 | 166 25.0 S23 13.5 | 90 21.5 16.1 S 3 16.9 12.0 54.5 |
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|S.D. 16.2 d 0.1 | S.D. 15.2 15.0 14.9 |
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