
3031 DEC. 24, 25, 26 (SAT, SUN, MON)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
24 0 | 92 11.3 | 144 27.8 S20 46.6 | 202 17.6 S22 03.6 | 53 58.7 N13 34.7 | 22 20.1 N19 56.0
1 | 107 13.8 | 159 27.1 S20 45.9 | 217 18.3 S22 03.8 | 69 01.3 N13 34.7 | 37 22.7 N19 56.0
2 | 122 16.2 | 174 26.4 S20 45.1 | 232 18.9 S22 04.1 | 84 03.9 N13 34.7 | 52 25.4 N19 55.9
3 | 137 18.7 | 189 25.7 S20 44.4 | 247 19.5 S22 04.4 | 99 06.4 N13 34.7 | 67 28.1 N19 55.9
4 | 152 21.1 | 204 24.9 S20 43.7 | 262 20.1 S22 04.6 | 114 09.0 N13 34.7 | 82 30.7 N19 55.9
S 5 | 167 23.6 | 219 24.2 S20 43.0 | 277 20.8 S22 04.9 | 129 11.6 N13 34.6 | 97 33.4 N19 55.9
A
T 6 | 182 26.1 | 234 23.5 S20 42.3 | 292 21.4 S22 05.1 | 144 14.1 N13 34.6 | 112 36.0 N19 55.9
U 7 | 197 28.5 | 249 22.8 S20 41.5 | 307 22.0 S22 05.4 | 159 16.7 N13 34.6 | 127 38.7 N19 55.9
R 8 | 212 31.0 | 264 22.1 S20 40.8 | 322 22.6 S22 05.7 | 174 19.3 N13 34.6 | 142 41.3 N19 55.8
D 9 | 227 33.5 | 279 21.3 S20 40.1 | 337 23.2 S22 05.9 | 189 21.8 N13 34.6 | 157 44.0 N19 55.8
A 10 | 242 35.9 | 294 20.6 S20 39.4 | 352 23.9 S22 06.2 | 204 24.4 N13 34.5 | 172 46.7 N19 55.8
Y 11 | 257 38.4 | 309 19.9 S20 38.6 | 7 24.5 S22 06.4 | 219 27.0 N13 34.5 | 187 49.3 N19 55.8
12 | 272 40.9 | 324 19.2 S20 37.9 | 22 25.1 S22 06.7 | 234 29.5 N13 34.5 | 202 52.0 N19 55.8
13 | 287 43.3 | 339 18.5 S20 37.2 | 37 25.7 S22 06.9 | 249 32.1 N13 34.5 | 217 54.6 N19 55.7
14 | 302 45.8 | 354 17.8 S20 36.4 | 52 26.3 S22 07.2 | 264 34.6 N13 34.5 | 232 57.3 N19 55.7
15 | 317 48.3 | 9 17.0 S20 35.7 | 67 27.0 S22 07.4 | 279 37.2 N13 34.4 | 247 59.9 N19 55.7
16 | 332 50.7 | 24 16.3 S20 35.0 | 82 27.6 S22 07.7 | 294 39.8 N13 34.4 | 263 02.6 N19 55.7
17 | 347 53.2 | 39 15.6 S20 34.2 | 97 28.2 S22 08.0 | 309 42.3 N13 34.4 | 278 05.3 N19 55.7
18 | 2 55.6 | 54 14.9 S20 33.5 | 112 28.8 S22 08.2 | 324 44.9 N13 34.4 | 293 07.9 N19 55.7
19 | 17 58.1 | 69 14.2 S20 32.8 | 127 29.4 S22 08.5 | 339 47.4 N13 34.4 | 308 10.6 N19 55.6
20 | 33 00.6 | 84 13.5 S20 32.0 | 142 30.1 S22 08.7 | 354 50.0 N13 34.4 | 323 13.2 N19 55.6
21 | 48 03.0 | 99 12.8 S20 31.3 | 157 30.7 S22 09.0 | 9 52.6 N13 34.3 | 338 15.9 N19 55.6
22 | 63 05.5 | 114 12.1 S20 30.6 | 172 31.3 S22 09.2 | 24 55.1 N13 34.3 | 353 18.5 N19 55.6
23 | 78 08.0 | 129 11.3 S20 29.8 | 187 31.9 S22 09.5 | 39 57.7 N13 34.3 | 8 21.2 N19 55.6
------+----------+-------------------+-------------------+-------------------+--------------------
25 0 | 93 10.4 | 144 10.6 S20 29.1 | 202 32.5 S22 09.7 | 55 00.2 N13 34.3 | 23 23.9 N19 55.5
1 | 108 12.9 | 159 09.9 S20 28.3 | 217 33.2 S22 10.0 | 70 02.8 N13 34.3 | 38 26.5 N19 55.5
2 | 123 15.4 | 174 09.2 S20 27.6 | 232 33.8 S22 10.2 | 85 05.4 N13 34.3 | 53 29.2 N19 55.5
3 | 138 17.8 | 189 08.5 S20 26.8 | 247 34.4 S22 10.5 | 100 07.9 N13 34.2 | 68 31.8 N19 55.5
4 | 153 20.3 | 204 07.8 S20 26.1 | 262 35.0 S22 10.7 | 115 10.5 N13 34.2 | 83 34.5 N19 55.5
S 5 | 168 22.8 | 219 07.1 S20 25.4 | 277 35.6 S22 11.0 | 130 13.0 N13 34.2 | 98 37.1 N19 55.5
U
N 6 | 183 25.2 | 234 06.4 S20 24.6 | 292 36.2 S22 11.2 | 145 15.6 N13 34.2 | 113 39.8 N19 55.4
D 7 | 198 27.7 | 249 05.7 S20 23.9 | 307 36.9 S22 11.5 | 160 18.1 N13 34.2 | 128 42.4 N19 55.4
A 8 | 213 30.1 | 264 05.0 S20 23.1 | 322 37.5 S22 11.7 | 175 20.7 N13 34.2 | 143 45.1 N19 55.4
Y 9 | 228 32.6 | 279 04.3 S20 22.4 | 337 38.1 S22 12.0 | 190 23.2 N13 34.1 | 158 47.8 N19 55.4
10 | 243 35.1 | 294 03.6 S20 21.6 | 352 38.7 S22 12.2 | 205 25.8 N13 34.1 | 173 50.4 N19 55.4
11 | 258 37.5 | 309 02.9 S20 20.9 | 7 39.3 S22 12.5 | 220 28.4 N13 34.1 | 188 53.1 N19 55.3
12 | 273 40.0 | 324 02.2 S20 20.1 | 22 39.9 S22 12.7 | 235 30.9 N13 34.1 | 203 55.7 N19 55.3
13 | 288 42.5 | 339 01.5 S20 19.4 | 37 40.6 S22 13.0 | 250 33.5 N13 34.1 | 218 58.4 N19 55.3
14 | 303 44.9 | 354 00.8 S20 18.6 | 52 41.2 S22 13.2 | 265 36.0 N13 34.1 | 234 01.0 N19 55.3
15 | 318 47.4 | 9 00.1 S20 17.8 | 67 41.8 S22 13.5 | 280 38.6 N13 34.0 | 249 03.7 N19 55.3
16 | 333 49.9 | 23 59.4 S20 17.1 | 82 42.4 S22 13.7 | 295 41.1 N13 34.0 | 264 06.3 N19 55.3
17 | 348 52.3 | 38 58.7 S20 16.3 | 97 43.0 S22 14.0 | 310 43.7 N13 34.0 | 279 09.0 N19 55.2
18 | 3 54.8 | 53 58.0 S20 15.6 | 112 43.6 S22 14.2 | 325 46.2 N13 34.0 | 294 11.6 N19 55.2
19 | 18 57.2 | 68 57.3 S20 14.8 | 127 44.2 S22 14.4 | 340 48.8 N13 34.0 | 309 14.3 N19 55.2
20 | 33 59.7 | 83 56.6 S20 14.0 | 142 44.9 S22 14.7 | 355 51.3 N13 34.0 | 324 17.0 N19 55.2
21 | 49 02.2 | 98 55.9 S20 13.3 | 157 45.5 S22 14.9 | 10 53.9 N13 33.9 | 339 19.6 N19 55.2
22 | 64 04.6 | 113 55.2 S20 12.5 | 172 46.1 S22 15.2 | 25 56.4 N13 33.9 | 354 22.3 N19 55.1
23 | 79 07.1 | 128 54.5 S20 11.8 | 187 46.7 S22 15.4 | 40 59.0 N13 33.9 | 9 24.9 N19 55.1
------+----------+-------------------+-------------------+-------------------+--------------------
26 0 | 94 09.6 | 143 53.8 S20 11.0 | 202 47.3 S22 15.7 | 56 01.5 N13 33.9 | 24 27.6 N19 55.1
1 | 109 12.0 | 158 53.1 S20 10.2 | 217 47.9 S22 15.9 | 71 04.1 N13 33.9 | 39 30.2 N19 55.1
2 | 124 14.5 | 173 52.4 S20 09.5 | 232 48.5 S22 16.2 | 86 06.6 N13 33.9 | 54 32.9 N19 55.1
3 | 139 17.0 | 188 51.7 S20 08.7 | 247 49.2 S22 16.4 | 101 09.2 N13 33.9 | 69 35.5 N19 55.1
4 | 154 19.4 | 203 51.0 S20 07.9 | 262 49.8 S22 16.6 | 116 11.7 N13 33.8 | 84 38.2 N19 55.0
M 5 | 169 21.9 | 218 50.3 S20 07.2 | 277 50.4 S22 16.9 | 131 14.3 N13 33.8 | 99 40.8 N19 55.0
O
N 6 | 184 24.4 | 233 49.6 S20 06.4 | 292 51.0 S22 17.1 | 146 16.8 N13 33.8 | 114 43.5 N19 55.0
D 7 | 199 26.8 | 248 48.9 S20 05.6 | 307 51.6 S22 17.4 | 161 19.4 N13 33.8 | 129 46.1 N19 55.0
A 8 | 214 29.3 | 263 48.3 S20 04.8 | 322 52.2 S22 17.6 | 176 21.9 N13 33.8 | 144 48.8 N19 55.0
Y 9 | 229 31.7 | 278 47.6 S20 04.1 | 337 52.8 S22 17.9 | 191 24.5 N13 33.8 | 159 51.4 N19 55.0
10 | 244 34.2 | 293 46.9 S20 03.3 | 352 53.4 S22 18.1 | 206 27.0 N13 33.8 | 174 54.1 N19 54.9
11 | 259 36.7 | 308 46.2 S20 02.5 | 7 54.1 S22 18.3 | 221 29.6 N13 33.8 | 189 56.8 N19 54.9
12 | 274 39.1 | 323 45.5 S20 01.7 | 22 54.7 S22 18.6 | 236 32.1 N13 33.7 | 204 59.4 N19 54.9
13 | 289 41.6 | 338 44.8 S20 01.0 | 37 55.3 S22 18.8 | 251 34.7 N13 33.7 | 220 02.1 N19 54.9
14 | 304 44.1 | 353 44.1 S20 00.2 | 52 55.9 S22 19.1 | 266 37.2 N13 33.7 | 235 04.7 N19 54.9
15 | 319 46.5 | 8 43.4 S19 59.4 | 67 56.5 S22 19.3 | 281 39.7 N13 33.7 | 250 07.4 N19 54.8
16 | 334 49.0 | 23 42.7 S19 58.6 | 82 57.1 S22 19.5 | 296 42.3 N13 33.7 | 265 10.0 N19 54.8
17 | 349 51.5 | 38 42.1 S19 57.8 | 97 57.7 S22 19.8 | 311 44.8 N13 33.7 | 280 12.7 N19 54.8
18 | 4 53.9 | 53 41.4 S19 57.1 | 112 58.3 S22 20.0 | 326 47.4 N13 33.7 | 295 15.3 N19 54.8
19 | 19 56.4 | 68 40.7 S19 56.3 | 127 59.0 S22 20.2 | 341 49.9 N13 33.6 | 310 18.0 N19 54.8
20 | 34 58.9 | 83 40.0 S19 55.5 | 142 59.6 S22 20.5 | 356 52.5 N13 33.6 | 325 20.6 N19 54.8
21 | 50 01.3 | 98 39.3 S19 54.7 | 158 00.2 S22 20.7 | 11 55.0 N13 33.6 | 340 23.3 N19 54.7
22 | 65 03.8 | 113 38.6 S19 53.9 | 173 00.8 S22 21.0 | 26 57.5 N13 33.6 | 355 25.9 N19 54.7
23 | 80 06.2 | 128 38.0 S19 53.1 | 188 01.4 S22 21.2 | 42 00.1 N13 33.6 | 10 28.6 N19 54.7
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| v -0.7 d 0.8 | v 0.6 d 0.2 | v 2.6 d 0.0 | v 2.7 d 0.0
3031 DEC. 24, 25, 26 (SAT, SUN, MON)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
24 0 | 180 44.4 S23 18.0 | 323 07.2 13.6 N20 07.4 9.8 54.1 | Acamar 305 32.6 S36 13.2
1 | 195 44.1 S23 18.0 | 337 39.9 13.7 N19 57.5 9.9 54.1 | Achernar 325 52.6 S52 02.3
2 | 210 43.8 S23 18.0 | 352 12.7 13.7 N19 47.6 9.9 54.1 | Acrux 158 46.9 S68 46.9
3 | 225 43.5 S23 18.0 | 6 45.5 13.8 N19 37.5 10.0 54.1 | Adhara 245 05.6 S30 24.6
4 | 240 43.2 S23 17.9 | 21 18.4 13.9 N19 27.4 10.1 54.1 | Albireo 56 49.2 N30 09.4
S 5 | 255 42.9 S23 17.9 | 35 51.3 14.0 N19 17.3 10.2 54.1 |
A | | | Aldebaran 276 06.5 N18 31.1
T 6 | 270 42.6 S23 17.9 | 50 24.3 14.0 N19 07.0 10.2 54.1 | Alioth 155 05.8 N50 23.3
U 7 | 285 42.3 S23 17.9 | 64 57.4 14.1 N18 56.7 10.3 54.1 | Alkaid 142 52.1 N44 12.0
R 8 | 300 42.0 S23 17.8 | 79 30.6 14.2 N18 46.3 10.4 54.1 | Al Na-ir 11 41.8 S41 57.6
D 9 | 315 41.7 S23 17.8 | 94 03.8 14.2 N18 35.8 10.5 54.1 | Alnilam 262 45.2 S 0 36.0
A 10 | 330 41.4 S23 17.8 | 108 37.1 14.3 N18 25.3 10.5 54.1 |
Y 11 | 345 41.1 S23 17.7 | 123 10.5 14.4 N18 14.7 10.6 54.1 | Alphard 205 19.9 S13 08.7
| | | Alphecca 115 18.4 N23 17.4
12 | 0 40.9 S23 17.7 | 137 43.9 14.4 N18 04.0 10.7 54.1 | Alpheratz 344 26.5 N34 45.9
13 | 15 40.6 S23 17.7 | 152 17.4 14.5 N17 53.2 10.8 54.1 | Altair 49 38.2 N11 37.8
14 | 30 40.3 S23 17.6 | 166 50.9 14.6 N17 42.4 10.8 54.1 | Ankaa 340 37.7 S36 44.3
15 | 45 40.0 S23 17.6 | 181 24.5 14.6 N17 31.5 10.9 54.1 |
16 | 60 39.7 S23 17.5 | 195 58.2 14.7 N17 20.5 11.0 54.1 | Antares 96 43.8 S28 39.1
17 | 75 39.4 S23 17.5 | 210 32.0 14.7 N17 09.5 11.0 54.1 | Arcturus 134 13.3 N13 51.3
| | | Atria 80 20.7 S70 48.4
18 | 90 39.1 S23 17.5 | 225 05.8 14.8 N16 58.4 11.1 54.1 | Avior 228 57.9 S62 49.9
19 | 105 38.8 S23 17.4 | 239 39.6 14.9 N16 47.2 11.2 54.1 | Bellatrix 264 46.7 N 7 13.4
20 | 120 38.5 S23 17.4 | 254 13.5 14.9 N16 36.0 11.2 54.1 |
21 | 135 38.2 S23 17.3 | 268 47.5 15.0 N16 24.7 11.3 54.1 | Betelgeuse 257 08.6 N 7 32.4
22 | 150 37.9 S23 17.3 | 283 21.6 15.0 N16 13.3 11.4 54.1 | Canopus 258 08.9 S53 16.9
23 | 165 37.6 S23 17.3 | 297 55.6 15.1 N16 01.9 11.4 54.1 | Capella 261 40.0 N46 57.9
------+-------------------+----------------------------------| Castor 229 49.8 N29 34.5
25 0 | 180 37.3 S23 17.2 | 312 29.8 15.2 N15 50.4 11.5 54.1 | Deneb 40 44.7 N48 58.9
1 | 195 37.0 S23 17.2 | 327 04.0 15.2 N15 38.9 11.5 54.1 |
2 | 210 36.7 S23 17.1 | 341 38.3 15.3 N15 27.3 11.6 54.1 | Denebola 169 30.1 N 8 49.4
3 | 225 36.4 S23 17.1 | 356 12.6 15.3 N15 15.6 11.7 54.1 | Diphda 336 04.4 S12 21.5
4 | 240 36.1 S23 17.0 | 10 47.0 15.4 N15 03.9 11.7 54.1 | Dubhe 178 13.0 N56 10.8
S 5 | 255 35.8 S23 17.0 | 25 21.4 15.4 N14 52.1 11.8 54.1 | Elnath 262 01.3 N29 24.4
U | | | Eltanin 84 44.6 N51 23.5
N 6 | 270 35.5 S23 16.9 | 39 55.9 15.5 N14 40.3 11.8 54.1 |
D 7 | 285 35.2 S23 16.9 | 54 30.4 15.5 N14 28.4 11.9 54.1 | Enif 21 11.8 N14 36.9
A 8 | 300 34.9 S23 16.8 | 69 05.0 15.6 N14 16.5 11.9 54.1 | Fomalhaut 1 17.4 S24 09.9
Y 9 | 315 34.6 S23 16.8 | 83 39.6 15.6 N14 04.5 12.0 54.1 | Gacrux 157 42.5 S62 51.2
10 | 330 34.3 S23 16.7 | 98 14.3 15.7 N13 52.4 12.0 54.1 | Gienah 162 40.1 S23 14.5
11 | 345 34.1 S23 16.7 | 112 49.0 15.7 N13 40.3 12.1 54.1 | Hadar 130 36.7 S65 17.3
| | |
12 | 0 33.8 S23 16.6 | 127 23.8 15.8 N13 28.2 12.2 54.1 | Hamal 313 32.1 N28 17.5
13 | 15 33.5 S23 16.6 | 141 58.6 15.8 N13 16.0 12.2 54.1 | Kaus Austr. 66 46.4 S33 50.0
14 | 30 33.2 S23 16.5 | 156 33.5 15.9 N13 03.7 12.3 54.1 | Kochab 137 44.4 N69 56.8
15 | 45 32.9 S23 16.5 | 171 08.4 15.9 N12 51.4 12.3 54.1 | Markab 0 51.5 N20 44.9
16 | 60 32.6 S23 16.4 | 185 43.4 16.0 N12 39.1 12.4 54.1 | Menkar 300 49.9 N 8 04.8
17 | 75 32.3 S23 16.3 | 200 18.3 16.0 N12 26.7 12.4 54.1 |
| | | Menkent 133 00.5 S41 23.6
18 | 90 32.0 S23 16.3 | 214 53.4 16.0 N12 14.2 12.4 54.1 | Miaplacidus 218 47.7 S73 57.2
19 | 105 31.7 S23 16.2 | 229 28.5 16.1 N12 01.7 12.5 54.1 | Mirfak 290 19.8 N53 27.7
20 | 120 31.4 S23 16.2 | 244 03.6 16.1 N11 49.2 12.5 54.1 | Nunki 60 07.9 S24 57.5
21 | 135 31.1 S23 16.1 | 258 38.8 16.2 N11 36.6 12.6 54.1 | Peacock 33 14.7 S53 22.8
22 | 150 30.8 S23 16.0 | 273 13.9 16.2 N11 24.0 12.6 54.1 |
23 | 165 30.5 S23 16.0 | 287 49.2 16.2 N11 11.3 12.7 54.1 | Polaris 62 09.4 N93 52.9
------+-------------------+----------------------------------| Pollux 227 49.7 N25 29.1
26 0 | 180 30.2 S23 15.9 | 302 24.5 16.3 N10 58.6 12.7 54.1 | Procyon 231 35.4 N 2 32.3
1 | 195 29.9 S23 15.8 | 316 59.8 16.3 N10 45.8 12.8 54.1 | Rasalhague 84 11.9 N11 51.7
2 | 210 29.6 S23 15.8 | 331 35.1 16.3 N10 33.0 12.8 54.2 | Regulus 194 05.9 N 6 55.0
3 | 225 29.3 S23 15.7 | 346 10.5 16.4 N10 20.2 12.8 54.2 |
4 | 240 29.0 S23 15.6 | 0 45.9 16.4 N10 07.3 12.9 54.2 | Rigel 268 51.7 S 7 03.9
M 5 | 255 28.7 S23 15.6 | 15 21.3 16.4 N 9 54.4 12.9 54.2 | Rigil Kent 122 22.8 S65 01.7
O | | | Sabik 87 31.3 S16 56.3
N 6 | 270 28.4 S23 15.5 | 29 56.8 16.5 N 9 41.4 13.0 54.2 | Schedar 335 02.0 N62 10.0
D 7 | 285 28.1 S23 15.4 | 44 32.3 16.5 N 9 28.4 13.0 54.2 | Shaula 79 00.0 S37 47.0
A 8 | 300 27.8 S23 15.4 | 59 07.8 16.5 N 9 15.4 13.0 54.2 |
Y 9 | 315 27.5 S23 15.3 | 73 43.4 16.6 N 9 02.3 13.1 54.2 | Sirius 247 14.9 S18 10.4
10 | 330 27.2 S23 15.2 | 88 19.0 16.6 N 8 49.2 13.1 54.2 | Spica 145 00.1 S16 30.2
11 | 345 27.0 S23 15.2 | 102 54.6 16.6 N 8 36.1 13.1 54.2 | Suhail 213 23.4 S47 36.3
| | | Vega 71 55.8 N39 46.6
12 | 0 26.7 S23 15.1 | 117 30.2 16.6 N 8 22.9 13.2 54.2 | Zuben-ubi 123 19.5 S20 16.3
13 | 15 26.4 S23 15.0 | 132 05.8 16.7 N 8 09.7 13.2 54.2 |
14 | 30 26.1 S23 14.9 | 146 41.5 16.7 N 7 56.5 13.2 54.3 |
15 | 45 25.8 S23 14.9 | 161 17.2 16.7 N 7 43.2 13.3 54.3 |
16 | 60 25.5 S23 14.8 | 175 52.9 16.7 N 7 29.9 13.3 54.3 |
17 | 75 25.2 S23 14.7 | 190 28.7 16.7 N 7 16.5 13.3 54.3 |
| | |
18 | 90 24.9 S23 14.6 | 205 04.4 16.8 N 7 03.2 13.4 54.3 |
19 | 105 24.6 S23 14.5 | 219 40.2 16.8 N 6 49.8 13.4 54.3 |
20 | 120 24.3 S23 14.5 | 234 16.0 16.8 N 6 36.3 13.4 54.3 |
21 | 135 24.0 S23 14.4 | 248 51.8 16.8 N 6 22.9 13.5 54.3 |
22 | 150 23.7 S23 14.3 | 263 27.6 16.8 N 6 09.4 13.5 54.3 |
23 | 165 23.4 S23 14.2 | 278 03.4 16.8 N 5 55.9 13.5 54.4 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.1 | S.D. 14.7 14.7 14.8 |
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