
2131 DEC. 21, 22, 23 (FRI, SAT, SUN)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
21 0 | 89 09.2 | 138 25.4 S20 17.8 | 57 05.9 N14 06.9 | 3 55.0 N22 55.0 | 217 53.2 S16 31.1
1 | 104 11.6 | 153 24.8 S20 17.0 | 72 07.9 N14 07.1 | 18 57.8 N22 54.9 | 232 55.4 S16 31.2
2 | 119 14.1 | 168 24.1 S20 16.2 | 87 09.9 N14 07.3 | 34 00.7 N22 54.9 | 247 57.6 S16 31.2
3 | 134 16.6 | 183 23.5 S20 15.4 | 102 11.9 N14 07.6 | 49 03.5 N22 54.9 | 262 59.8 S16 31.3
4 | 149 19.0 | 198 22.9 S20 14.6 | 117 13.9 N14 07.8 | 64 06.3 N22 54.9 | 278 02.0 S16 31.3
F 5 | 164 21.5 | 213 22.2 S20 13.8 | 132 15.9 N14 08.0 | 79 09.2 N22 54.9 | 293 04.2 S16 31.4
R
I 6 | 179 24.0 | 228 21.6 S20 13.0 | 147 17.9 N14 08.2 | 94 12.0 N22 54.9 | 308 06.4 S16 31.5
D 7 | 194 26.4 | 243 21.0 S20 12.2 | 162 19.9 N14 08.4 | 109 14.8 N22 54.9 | 323 08.6 S16 31.5
A 8 | 209 28.9 | 258 20.4 S20 11.4 | 177 21.9 N14 08.7 | 124 17.7 N22 54.9 | 338 10.8 S16 31.6
Y 9 | 224 31.3 | 273 19.7 S20 10.6 | 192 23.9 N14 08.9 | 139 20.5 N22 54.9 | 353 13.0 S16 31.6
10 | 239 33.8 | 288 19.1 S20 09.8 | 207 26.0 N14 09.1 | 154 23.3 N22 54.9 | 8 15.1 S16 31.7
11 | 254 36.3 | 303 18.5 S20 09.0 | 222 28.0 N14 09.3 | 169 26.2 N22 54.9 | 23 17.3 S16 31.8
12 | 269 38.7 | 318 17.9 S20 08.1 | 237 30.0 N14 09.6 | 184 29.0 N22 54.9 | 38 19.5 S16 31.8
13 | 284 41.2 | 333 17.2 S20 07.3 | 252 32.0 N14 09.8 | 199 31.8 N22 54.9 | 53 21.7 S16 31.9
14 | 299 43.7 | 348 16.6 S20 06.5 | 267 33.9 N14 10.0 | 214 34.6 N22 54.9 | 68 23.9 S16 32.0
15 | 314 46.1 | 3 16.0 S20 05.7 | 282 35.9 N14 10.2 | 229 37.5 N22 54.9 | 83 26.1 S16 32.0
16 | 329 48.6 | 18 15.4 S20 04.9 | 297 37.9 N14 10.5 | 244 40.3 N22 54.9 | 98 28.3 S16 32.1
17 | 344 51.1 | 33 14.7 S20 04.1 | 312 39.9 N14 10.7 | 259 43.1 N22 54.9 | 113 30.5 S16 32.1
18 | 359 53.5 | 48 14.1 S20 03.2 | 327 41.9 N14 10.9 | 274 46.0 N22 54.9 | 128 32.7 S16 32.2
19 | 14 56.0 | 63 13.5 S20 02.4 | 342 43.9 N14 11.1 | 289 48.8 N22 54.9 | 143 34.9 S16 32.3
20 | 29 58.5 | 78 12.9 S20 01.6 | 357 45.9 N14 11.4 | 304 51.6 N22 54.9 | 158 37.1 S16 32.3
21 | 45 00.9 | 93 12.3 S20 00.8 | 12 47.9 N14 11.6 | 319 54.5 N22 54.8 | 173 39.3 S16 32.4
22 | 60 03.4 | 108 11.7 S19 60.0 | 27 49.9 N14 11.8 | 334 57.3 N22 54.8 | 188 41.5 S16 32.4
23 | 75 05.8 | 123 11.0 S19 59.1 | 42 51.9 N14 12.0 | 350 00.1 N22 54.8 | 203 43.7 S16 32.5
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22 0 | 90 08.3 | 138 10.4 S19 58.3 | 57 53.9 N14 12.3 | 5 03.0 N22 54.8 | 218 45.9 S16 32.6
1 | 105 10.8 | 153 09.8 S19 57.5 | 72 55.9 N14 12.5 | 20 05.8 N22 54.8 | 233 48.2 S16 32.6
2 | 120 13.2 | 168 09.2 S19 56.7 | 87 57.8 N14 12.7 | 35 08.6 N22 54.8 | 248 50.4 S16 32.7
3 | 135 15.7 | 183 08.6 S19 55.8 | 102 59.8 N14 13.0 | 50 11.5 N22 54.8 | 263 52.6 S16 32.8
4 | 150 18.2 | 198 08.0 S19 55.0 | 118 01.8 N14 13.2 | 65 14.3 N22 54.8 | 278 54.8 S16 32.8
S 5 | 165 20.6 | 213 07.3 S19 54.2 | 133 03.8 N14 13.4 | 80 17.1 N22 54.8 | 293 57.0 S16 32.9
A
T 6 | 180 23.1 | 228 06.7 S19 53.4 | 148 05.8 N14 13.6 | 95 20.0 N22 54.8 | 308 59.2 S16 32.9
U 7 | 195 25.6 | 243 06.1 S19 52.5 | 163 07.8 N14 13.9 | 110 22.8 N22 54.8 | 324 01.4 S16 33.0
R 8 | 210 28.0 | 258 05.5 S19 51.7 | 178 09.7 N14 14.1 | 125 25.6 N22 54.8 | 339 03.6 S16 33.1
D 9 | 225 30.5 | 273 04.9 S19 50.9 | 193 11.7 N14 14.3 | 140 28.5 N22 54.8 | 354 05.8 S16 33.1
A 10 | 240 33.0 | 288 04.3 S19 50.0 | 208 13.7 N14 14.6 | 155 31.3 N22 54.8 | 9 08.0 S16 33.2
Y 11 | 255 35.4 | 303 03.7 S19 49.2 | 223 15.7 N14 14.8 | 170 34.1 N22 54.8 | 24 10.2 S16 33.2
12 | 270 37.9 | 318 03.1 S19 48.4 | 238 17.6 N14 15.0 | 185 36.9 N22 54.8 | 39 12.4 S16 33.3
13 | 285 40.3 | 333 02.5 S19 47.5 | 253 19.6 N14 15.2 | 200 39.8 N22 54.8 | 54 14.6 S16 33.4
14 | 300 42.8 | 348 01.9 S19 46.7 | 268 21.6 N14 15.5 | 215 42.6 N22 54.8 | 69 16.8 S16 33.4
15 | 315 45.3 | 3 01.3 S19 45.8 | 283 23.6 N14 15.7 | 230 45.4 N22 54.7 | 84 19.0 S16 33.5
16 | 330 47.7 | 18 00.7 S19 45.0 | 298 25.5 N14 15.9 | 245 48.3 N22 54.7 | 99 21.2 S16 33.5
17 | 345 50.2 | 33 00.0 S19 44.2 | 313 27.5 N14 16.2 | 260 51.1 N22 54.7 | 114 23.4 S16 33.6
18 | 0 52.7 | 47 59.4 S19 43.3 | 328 29.5 N14 16.4 | 275 53.9 N22 54.7 | 129 25.6 S16 33.7
19 | 15 55.1 | 62 58.8 S19 42.5 | 343 31.4 N14 16.6 | 290 56.8 N22 54.7 | 144 27.8 S16 33.7
20 | 30 57.6 | 77 58.2 S19 41.6 | 358 33.4 N14 16.9 | 305 59.6 N22 54.7 | 159 30.0 S16 33.8
21 | 46 00.1 | 92 57.6 S19 40.8 | 13 35.4 N14 17.1 | 321 02.4 N22 54.7 | 174 32.2 S16 33.8
22 | 61 02.5 | 107 57.0 S19 40.0 | 28 37.3 N14 17.3 | 336 05.3 N22 54.7 | 189 34.4 S16 33.9
23 | 76 05.0 | 122 56.4 S19 39.1 | 43 39.3 N14 17.6 | 351 08.1 N22 54.7 | 204 36.6 S16 34.0
------+----------+-------------------+-------------------+-------------------+--------------------
23 0 | 91 07.4 | 137 55.8 S19 38.3 | 58 41.3 N14 17.8 | 6 10.9 N22 54.7 | 219 38.8 S16 34.0
1 | 106 09.9 | 152 55.2 S19 37.4 | 73 43.2 N14 18.0 | 21 13.8 N22 54.7 | 234 41.0 S16 34.1
2 | 121 12.4 | 167 54.6 S19 36.6 | 88 45.2 N14 18.3 | 36 16.6 N22 54.7 | 249 43.2 S16 34.1
3 | 136 14.8 | 182 54.0 S19 35.7 | 103 47.1 N14 18.5 | 51 19.4 N22 54.7 | 264 45.4 S16 34.2
4 | 151 17.3 | 197 53.4 S19 34.9 | 118 49.1 N14 18.7 | 66 22.2 N22 54.7 | 279 47.6 S16 34.3
S 5 | 166 19.8 | 212 52.8 S19 34.0 | 133 51.1 N14 19.0 | 81 25.1 N22 54.7 | 294 49.8 S16 34.3
U
N 6 | 181 22.2 | 227 52.2 S19 33.2 | 148 53.0 N14 19.2 | 96 27.9 N22 54.7 | 309 52.0 S16 34.4
D 7 | 196 24.7 | 242 51.7 S19 32.3 | 163 55.0 N14 19.4 | 111 30.7 N22 54.7 | 324 54.2 S16 34.4
A 8 | 211 27.2 | 257 51.1 S19 31.5 | 178 56.9 N14 19.7 | 126 33.6 N22 54.7 | 339 56.4 S16 34.5
Y 9 | 226 29.6 | 272 50.5 S19 30.6 | 193 58.9 N14 19.9 | 141 36.4 N22 54.6 | 354 58.6 S16 34.6
10 | 241 32.1 | 287 49.9 S19 29.8 | 209 00.8 N14 20.2 | 156 39.2 N22 54.6 | 10 00.8 S16 34.6
11 | 256 34.6 | 302 49.3 S19 28.9 | 224 02.8 N14 20.4 | 171 42.1 N22 54.6 | 25 03.0 S16 34.7
12 | 271 37.0 | 317 48.7 S19 28.0 | 239 04.7 N14 20.6 | 186 44.9 N22 54.6 | 40 05.2 S16 34.7
13 | 286 39.5 | 332 48.1 S19 27.2 | 254 06.7 N14 20.9 | 201 47.7 N22 54.6 | 55 07.4 S16 34.8
14 | 301 41.9 | 347 47.5 S19 26.3 | 269 08.6 N14 21.1 | 216 50.5 N22 54.6 | 70 09.6 S16 34.9
15 | 316 44.4 | 2 46.9 S19 25.5 | 284 10.6 N14 21.3 | 231 53.4 N22 54.6 | 85 11.8 S16 34.9
16 | 331 46.9 | 17 46.3 S19 24.6 | 299 12.5 N14 21.6 | 246 56.2 N22 54.6 | 100 14.0 S16 35.0
17 | 346 49.3 | 32 45.7 S19 23.7 | 314 14.5 N14 21.8 | 261 59.0 N22 54.6 | 115 16.2 S16 35.0
18 | 1 51.8 | 47 45.1 S19 22.9 | 329 16.4 N14 22.1 | 277 01.9 N22 54.6 | 130 18.4 S16 35.1
19 | 16 54.3 | 62 44.6 S19 22.0 | 344 18.4 N14 22.3 | 292 04.7 N22 54.6 | 145 20.6 S16 35.2
20 | 31 56.7 | 77 44.0 S19 21.2 | 359 20.3 N14 22.5 | 307 07.5 N22 54.6 | 160 22.8 S16 35.2
21 | 46 59.2 | 92 43.4 S19 20.3 | 14 22.2 N14 22.8 | 322 10.3 N22 54.6 | 175 25.1 S16 35.3
22 | 62 01.7 | 107 42.8 S19 19.4 | 29 24.2 N14 23.0 | 337 13.2 N22 54.6 | 190 27.3 S16 35.3
23 | 77 04.1 | 122 42.2 S19 18.6 | 44 26.1 N14 23.2 | 352 16.0 N22 54.6 | 205 29.5 S16 35.4
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| v -0.6 d 0.8 | v 2.0 d 0.2 | v 2.8 d 0.0 | v 2.2 d 0.1
2131 DEC. 21, 22, 23 (FRI, SAT, SUN)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
21 0 | 180 39.7 S23 24.9 | 164 54.1 9.9 S23 45.6 0.2 55.0 | Acamar 314 10.8 S39 47.1
1 | 195 39.4 S23 24.9 | 179 23.0 9.9 S23 45.3 0.3 55.0 | Achernar 334 20.6 S56 34.5
2 | 210 39.1 S23 24.9 | 193 51.9 9.9 S23 44.9 0.4 55.0 | Acrux 171 30.1 S63 49.3
3 | 225 38.8 S23 25.0 | 208 20.7 9.8 S23 44.4 0.5 55.0 | Adhara 254 02.5 S29 09.4
4 | 240 38.5 S23 25.0 | 222 49.5 9.8 S23 43.7 0.6 55.1 | Albireo 65 59.8 N28 14.5
F 5 | 255 38.2 S23 25.0 | 237 18.4 9.8 S23 43.0 0.8 55.1 |
R | | | Aldebaran 289 07.3 N16 46.0
I 6 | 270 37.9 S23 25.0 | 251 47.2 9.8 S23 42.1 0.9 55.1 | Alioth 165 03.1 N55 14.6
D 7 | 285 37.6 S23 25.0 | 266 16.0 9.8 S23 41.1 1.0 55.1 | Alkaid 151 49.4 N48 39.3
A 8 | 300 37.3 S23 25.1 | 280 44.7 9.8 S23 39.9 1.1 55.1 | Al Na-ir 25 52.9 S46 19.4
Y 9 | 315 37.0 S23 25.1 | 295 13.5 9.8 S23 38.7 1.3 55.1 | Alnilam 274 16.1 S 1 07.5
10 | 330 36.6 S23 25.1 | 309 42.3 9.8 S23 37.3 1.4 55.2 |
11 | 345 36.3 S23 25.1 | 324 11.1 9.8 S23 35.8 1.5 55.2 | Alphard 216 28.8 S 9 14.0
| | | Alphecca 124 56.2 N26 16.5
12 | 0 36.0 S23 25.1 | 338 39.8 9.8 S23 34.2 1.6 55.2 | Alpheratz 356 11.7 N29 49.2
13 | 15 35.7 S23 25.2 | 353 08.6 9.8 S23 32.4 1.7 55.2 | Altair 60 42.2 N 9 13.4
14 | 30 35.4 S23 25.2 | 7 37.3 9.8 S23 30.6 1.9 55.2 | Ankaa 351 48.3 S41 35.8
15 | 45 35.1 S23 25.2 | 22 06.1 9.8 S23 28.6 2.0 55.2 |
16 | 60 34.8 S23 25.2 | 36 34.8 9.7 S23 26.5 2.1 55.3 | Antares 110 37.9 S26 42.9
17 | 75 34.5 S23 25.2 | 51 03.6 9.7 S23 24.2 2.2 55.3 | Arcturus 144 35.1 N18 30.0
| | | Atria 104 20.6 S69 15.2
18 | 90 34.2 S23 25.2 | 65 32.3 9.7 S23 21.9 2.4 55.3 | Avior 233 41.2 S59 56.0
19 | 105 33.9 S23 25.2 | 80 01.1 9.8 S23 19.4 2.5 55.3 | Bellatrix 276 56.6 N 6 27.7
20 | 120 33.5 S23 25.2 | 94 29.8 9.8 S23 16.8 2.6 55.3 |
21 | 135 33.2 S23 25.3 | 108 58.6 9.8 S23 14.1 2.7 55.4 | Betelgeuse 269 25.0 N 7 25.4
22 | 150 32.9 S23 25.3 | 123 27.3 9.8 S23 11.2 2.8 55.4 | Canopus 263 16.1 S52 46.2
23 | 165 32.6 S23 25.3 | 137 56.1 9.8 S23 08.3 3.0 55.4 | Capella 278 23.0 N46 07.3
------+-------------------+----------------------------------| Castor 244 14.7 N31 35.4
22 0 | 180 32.3 S23 25.3 | 152 24.9 9.8 S23 05.2 3.1 55.4 | Deneb 48 31.4 N45 45.4
1 | 195 32.0 S23 25.3 | 166 53.7 9.8 S23 02.0 3.2 55.4 |
2 | 210 31.7 S23 25.3 | 181 22.4 9.8 S22 58.7 3.3 55.4 | Denebola 181 03.4 N13 50.1
3 | 225 31.4 S23 25.3 | 195 51.2 9.8 S22 55.2 3.4 55.5 | Diphda 347 27.0 S17 16.0
4 | 240 31.1 S23 25.3 | 210 20.0 9.8 S22 51.7 3.6 55.5 | Dubhe 192 03.2 N61 02.0
S 5 | 255 30.8 S23 25.3 | 224 48.9 9.8 S22 48.0 3.7 55.5 | Elnath 276 20.2 N28 42.5
A | | | Eltanin 90 05.5 N51 28.6
T 6 | 270 30.4 S23 25.3 | 239 17.7 9.8 S22 44.2 3.8 55.5 |
U 7 | 285 30.1 S23 25.3 | 253 46.5 9.8 S22 40.2 3.9 55.5 | Enif 32 20.3 N10 29.0
R 8 | 300 29.8 S23 25.3 | 268 15.4 9.8 S22 36.2 4.0 55.6 | Fomalhaut 13 46.5 S28 55.5
D 9 | 315 29.5 S23 25.3 | 282 44.2 9.9 S22 32.0 4.2 55.6 | Gacrux 170 22.1 S57 50.6
A 10 | 330 29.2 S23 25.3 | 297 13.1 9.9 S22 27.8 4.3 55.6 | Gienah 174 21.1 S18 16.2
Y 11 | 345 28.9 S23 25.3 | 311 42.0 9.9 S22 23.4 4.4 55.6 | Hadar 146 42.3 S60 59.9
| | |
12 | 0 28.6 S23 25.3 | 326 10.9 9.9 S22 18.8 4.5 55.6 | Hamal 326 20.5 N24 05.0
13 | 15 28.3 S23 25.3 | 340 39.8 9.9 S22 14.2 4.6 55.6 | Kaus Austr. 81 46.8 S34 18.9
14 | 30 28.0 S23 25.3 | 355 08.8 9.9 S22 09.5 4.8 55.7 | Kochab 137 24.4 N73 36.8
15 | 45 27.6 S23 25.3 | 9 37.7 10.0 S22 04.6 4.9 55.7 | Markab 12 10.1 N15 54.9
16 | 60 27.3 S23 25.3 | 24 06.7 10.0 S21 59.6 5.0 55.7 | Menkar 312 42.1 N 4 36.0
17 | 75 27.0 S23 25.3 | 38 35.7 10.0 S21 54.5 5.1 55.7 |
| | | Menkent 146 23.2 S37 00.6
18 | 90 26.7 S23 25.3 | 53 04.7 10.0 S21 49.3 5.2 55.7 | Miaplacidus 221 20.0 S70 15.4
19 | 105 26.4 S23 25.3 | 67 33.7 10.0 S21 43.9 5.3 55.8 | Mirfak 306 32.9 N50 19.5
20 | 120 26.1 S23 25.3 | 82 02.8 10.1 S21 38.5 5.4 55.8 | Nunki 74 09.0 S26 07.5
21 | 135 25.8 S23 25.3 | 96 31.9 10.1 S21 32.9 5.6 55.8 | Peacock 51 00.4 S56 18.5
22 | 150 25.5 S23 25.2 | 111 01.0 10.1 S21 27.3 5.7 55.8 |
23 | 165 25.2 S23 25.2 | 125 30.1 10.1 S21 21.5 5.8 55.8 | Polaris 289 03.7 N89 50.5
------+-------------------+----------------------------------| Pollux 241 39.2 N27 41.9
23 0 | 180 24.9 S23 25.2 | 139 59.2 10.1 S21 15.6 5.9 55.9 | Procyon 243 26.8 N 4 52.8
1 | 195 24.5 S23 25.2 | 154 28.4 10.2 S21 09.5 6.0 55.9 | Rasalhague 94 44.6 N12 28.3
2 | 210 24.2 S23 25.2 | 168 57.6 10.2 S21 03.4 6.1 55.9 | Regulus 206 09.2 N11 19.2
3 | 225 23.9 S23 25.2 | 183 26.8 10.2 S20 57.2 6.2 55.9 |
4 | 240 23.6 S23 25.2 | 197 56.1 10.2 S20 50.8 6.4 55.9 | Rigel 279 46.5 S 8 03.4
S 5 | 255 23.3 S23 25.1 | 212 25.3 10.3 S20 44.3 6.5 56.0 | Rigil Kent 137 51.2 S61 22.1
U | | | Sabik 100 31.3 S15 52.8
N 6 | 270 23.0 S23 25.1 | 226 54.6 10.3 S20 37.8 6.6 56.0 | Schedar 347 59.2 N57 15.7
D 7 | 285 22.7 S23 25.1 | 241 23.9 10.3 S20 31.1 6.7 56.0 | Shaula 94 22.0 S37 11.4
A 8 | 300 22.4 S23 25.1 | 255 53.3 10.3 S20 24.3 6.8 56.0 |
Y 9 | 315 22.1 S23 25.1 | 270 22.7 10.4 S20 17.4 6.9 56.0 | Sirius 257 15.3 S16 54.2
10 | 330 21.8 S23 25.1 | 284 52.1 10.4 S20 10.4 7.0 56.1 | Spica 156 57.9 S11 50.6
11 | 345 21.4 S23 25.0 | 299 21.5 10.4 S20 03.3 7.1 56.1 | Suhail 221 46.9 S43 57.9
| | | Vega 79 39.4 N38 54.7
12 | 0 21.1 S23 25.0 | 313 50.9 10.5 S19 56.0 7.2 56.1 | Zuben-ubi 135 31.0 S16 34.9
13 | 15 20.8 S23 25.0 | 328 20.4 10.5 S19 48.7 7.3 56.1 |
14 | 30 20.5 S23 25.0 | 342 49.9 10.5 S19 41.3 7.4 56.2 |
15 | 45 20.2 S23 24.9 | 357 19.5 10.5 S19 33.7 7.5 56.2 |
16 | 60 19.9 S23 24.9 | 11 49.1 10.6 S19 26.1 7.6 56.2 |
17 | 75 19.6 S23 24.9 | 26 18.7 10.6 S19 18.3 7.8 56.2 |
| | |
18 | 90 19.3 S23 24.9 | 40 48.3 10.6 S19 10.5 7.9 56.2 |
19 | 105 19.0 S23 24.8 | 55 17.9 10.7 S19 02.5 8.0 56.3 |
20 | 120 18.6 S23 24.8 | 69 47.6 10.7 S18 54.5 8.1 56.3 |
21 | 135 18.3 S23 24.8 | 84 17.4 10.7 S18 46.3 8.2 56.3 |
22 | 150 18.0 S23 24.7 | 98 47.1 10.8 S18 38.0 8.3 56.3 |
23 | 165 17.7 S23 24.7 | 113 16.9 10.8 S18 29.7 8.4 56.4 |
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|S.D. 16.3 d 0.0 | S.D. 15.0 15.2 15.3 |
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