
2871 DEC. 19, 20, 21 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 59.1 | 157 41.9 S23 19.3 | 217 05.5 S17 59.0 | 216 46.9 S17 34.5 | 169 14.2 S22 14.2
1 | 103 01.6 | 172 41.0 S23 19.0 | 232 06.3 S17 59.4 | 231 48.9 S17 34.6 | 184 16.4 S22 14.2
2 | 118 04.0 | 187 40.1 S23 18.6 | 247 07.1 S17 59.9 | 246 50.8 S17 34.8 | 199 18.5 S22 14.2
3 | 133 06.5 | 202 39.2 S23 18.3 | 262 07.9 S18 00.3 | 261 52.8 S17 34.9 | 214 20.7 S22 14.2
4 | 148 08.9 | 217 38.3 S23 17.9 | 277 08.7 S18 00.7 | 276 54.8 S17 35.0 | 229 22.8 S22 14.1
S 5 | 163 11.4 | 232 37.3 S23 17.6 | 292 09.5 S18 01.2 | 291 56.7 S17 35.1 | 244 25.0 S22 14.1
A
T 6 | 178 13.9 | 247 36.4 S23 17.2 | 307 10.3 S18 01.6 | 306 58.7 S17 35.2 | 259 27.1 S22 14.1
U 7 | 193 16.3 | 262 35.5 S23 16.8 | 322 11.1 S18 02.0 | 322 00.6 S17 35.4 | 274 29.3 S22 14.1
R 8 | 208 18.8 | 277 34.6 S23 16.5 | 337 11.9 S18 02.4 | 337 02.6 S17 35.5 | 289 31.4 S22 14.1
D 9 | 223 21.3 | 292 33.7 S23 16.1 | 352 12.7 S18 02.9 | 352 04.6 S17 35.6 | 304 33.6 S22 14.1
A 10 | 238 23.7 | 307 32.8 S23 15.7 | 7 13.5 S18 03.3 | 7 06.5 S17 35.7 | 319 35.7 S22 14.1
Y 11 | 253 26.2 | 322 31.9 S23 15.4 | 22 14.3 S18 03.7 | 22 08.5 S17 35.8 | 334 37.9 S22 14.0
12 | 268 28.7 | 337 31.0 S23 15.0 | 37 15.1 S18 04.2 | 37 10.4 S17 36.0 | 349 40.0 S22 14.0
13 | 283 31.1 | 352 30.1 S23 14.6 | 52 15.9 S18 04.6 | 52 12.4 S17 36.1 | 4 42.2 S22 14.0
14 | 298 33.6 | 7 29.2 S23 14.2 | 67 16.7 S18 05.0 | 67 14.4 S17 36.2 | 19 44.3 S22 14.0
15 | 313 36.1 | 22 28.3 S23 13.9 | 82 17.5 S18 05.4 | 82 16.3 S17 36.3 | 34 46.5 S22 14.0
16 | 328 38.5 | 37 27.4 S23 13.5 | 97 18.3 S18 05.9 | 97 18.3 S17 36.4 | 49 48.6 S22 14.0
17 | 343 41.0 | 52 26.5 S23 13.1 | 112 19.1 S18 06.3 | 112 20.2 S17 36.6 | 64 50.7 S22 14.0
18 | 358 43.4 | 67 25.6 S23 12.7 | 127 19.9 S18 06.7 | 127 22.2 S17 36.7 | 79 52.9 S22 13.9
19 | 13 45.9 | 82 24.7 S23 12.4 | 142 20.7 S18 07.1 | 142 24.2 S17 36.8 | 94 55.0 S22 13.9
20 | 28 48.4 | 97 23.8 S23 12.0 | 157 21.5 S18 07.6 | 157 26.1 S17 36.9 | 109 57.2 S22 13.9
21 | 43 50.8 | 112 22.9 S23 11.6 | 172 22.2 S18 08.0 | 172 28.1 S17 37.1 | 124 59.3 S22 13.9
22 | 58 53.3 | 127 22.0 S23 11.2 | 187 23.0 S18 08.4 | 187 30.1 S17 37.2 | 140 01.5 S22 13.9
23 | 73 55.8 | 142 21.1 S23 10.8 | 202 23.8 S18 08.8 | 202 32.0 S17 37.3 | 155 03.6 S22 13.9
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 58.2 | 157 20.2 S23 10.5 | 217 24.6 S18 09.3 | 217 34.0 S17 37.4 | 170 05.8 S22 13.9
1 | 104 00.7 | 172 19.3 S23 10.1 | 232 25.4 S18 09.7 | 232 35.9 S17 37.5 | 185 07.9 S22 13.8
2 | 119 03.2 | 187 18.4 S23 09.7 | 247 26.2 S18 10.1 | 247 37.9 S17 37.7 | 200 10.1 S22 13.8
3 | 134 05.6 | 202 17.5 S23 09.3 | 262 27.0 S18 10.5 | 262 39.9 S17 37.8 | 215 12.2 S22 13.8
4 | 149 08.1 | 217 16.6 S23 08.9 | 277 27.8 S18 11.0 | 277 41.8 S17 37.9 | 230 14.4 S22 13.8
S 5 | 164 10.6 | 232 15.7 S23 08.5 | 292 28.6 S18 11.4 | 292 43.8 S17 38.0 | 245 16.5 S22 13.8
U
N 6 | 179 13.0 | 247 14.8 S23 08.1 | 307 29.4 S18 11.8 | 307 45.8 S17 38.1 | 260 18.7 S22 13.8
D 7 | 194 15.5 | 262 13.9 S23 07.7 | 322 30.2 S18 12.2 | 322 47.7 S17 38.3 | 275 20.8 S22 13.8
A 8 | 209 17.9 | 277 13.0 S23 07.3 | 337 31.0 S18 12.7 | 337 49.7 S17 38.4 | 290 23.0 S22 13.7
Y 9 | 224 20.4 | 292 12.1 S23 06.9 | 352 31.8 S18 13.1 | 352 51.6 S17 38.5 | 305 25.1 S22 13.7
10 | 239 22.9 | 307 11.2 S23 06.5 | 7 32.6 S18 13.5 | 7 53.6 S17 38.6 | 320 27.3 S22 13.7
11 | 254 25.3 | 322 10.3 S23 06.1 | 22 33.3 S18 13.9 | 22 55.6 S17 38.7 | 335 29.4 S22 13.7
12 | 269 27.8 | 337 09.4 S23 05.7 | 37 34.1 S18 14.3 | 37 57.5 S17 38.8 | 350 31.6 S22 13.7
13 | 284 30.3 | 352 08.5 S23 05.3 | 52 34.9 S18 14.8 | 52 59.5 S17 39.0 | 5 33.7 S22 13.7
14 | 299 32.7 | 7 07.6 S23 04.9 | 67 35.7 S18 15.2 | 68 01.5 S17 39.1 | 20 35.8 S22 13.7
15 | 314 35.2 | 22 06.7 S23 04.5 | 82 36.5 S18 15.6 | 83 03.4 S17 39.2 | 35 38.0 S22 13.6
16 | 329 37.7 | 37 05.8 S23 04.1 | 97 37.3 S18 16.0 | 98 05.4 S17 39.3 | 50 40.1 S22 13.6
17 | 344 40.1 | 52 04.9 S23 03.7 | 112 38.1 S18 16.5 | 113 07.3 S17 39.4 | 65 42.3 S22 13.6
18 | 359 42.6 | 67 04.0 S23 03.3 | 127 38.9 S18 16.9 | 128 09.3 S17 39.6 | 80 44.4 S22 13.6
19 | 14 45.1 | 82 03.1 S23 02.9 | 142 39.7 S18 17.3 | 143 11.3 S17 39.7 | 95 46.6 S22 13.6
20 | 29 47.5 | 97 02.2 S23 02.5 | 157 40.5 S18 17.7 | 158 13.2 S17 39.8 | 110 48.7 S22 13.6
21 | 44 50.0 | 112 01.3 S23 02.1 | 172 41.3 S18 18.1 | 173 15.2 S17 39.9 | 125 50.9 S22 13.5
22 | 59 52.4 | 127 00.4 S23 01.7 | 187 42.0 S18 18.6 | 188 17.2 S17 40.0 | 140 53.0 S22 13.5
23 | 74 54.9 | 141 59.5 S23 01.3 | 202 42.8 S18 19.0 | 203 19.1 S17 40.2 | 155 55.2 S22 13.5
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 57.4 | 156 58.6 S23 00.9 | 217 43.6 S18 19.4 | 218 21.1 S17 40.3 | 170 57.3 S22 13.5
1 | 104 59.8 | 171 57.7 S23 00.5 | 232 44.4 S18 19.8 | 233 23.1 S17 40.4 | 185 59.5 S22 13.5
2 | 120 02.3 | 186 56.9 S23 00.0 | 247 45.2 S18 20.2 | 248 25.0 S17 40.5 | 201 01.6 S22 13.5
3 | 135 04.8 | 201 56.0 S22 59.6 | 262 46.0 S18 20.7 | 263 27.0 S17 40.6 | 216 03.8 S22 13.5
4 | 150 07.2 | 216 55.1 S22 59.2 | 277 46.8 S18 21.1 | 278 29.0 S17 40.8 | 231 05.9 S22 13.4
M 5 | 165 09.7 | 231 54.2 S22 58.8 | 292 47.6 S18 21.5 | 293 30.9 S17 40.9 | 246 08.1 S22 13.4
O
N 6 | 180 12.2 | 246 53.3 S22 58.4 | 307 48.4 S18 21.9 | 308 32.9 S17 41.0 | 261 10.2 S22 13.4
D 7 | 195 14.6 | 261 52.4 S22 57.9 | 322 49.1 S18 22.3 | 323 34.8 S17 41.1 | 276 12.4 S22 13.4
A 8 | 210 17.1 | 276 51.5 S22 57.5 | 337 49.9 S18 22.7 | 338 36.8 S17 41.2 | 291 14.5 S22 13.4
Y 9 | 225 19.5 | 291 50.6 S22 57.1 | 352 50.7 S18 23.2 | 353 38.8 S17 41.3 | 306 16.6 S22 13.4
10 | 240 22.0 | 306 49.7 S22 56.7 | 7 51.5 S18 23.6 | 8 40.7 S17 41.5 | 321 18.8 S22 13.4
11 | 255 24.5 | 321 48.8 S22 56.2 | 22 52.3 S18 24.0 | 23 42.7 S17 41.6 | 336 20.9 S22 13.3
12 | 270 26.9 | 336 48.0 S22 55.8 | 37 53.1 S18 24.4 | 38 44.7 S17 41.7 | 351 23.1 S22 13.3
13 | 285 29.4 | 351 47.1 S22 55.4 | 52 53.9 S18 24.8 | 53 46.6 S17 41.8 | 6 25.2 S22 13.3
14 | 300 31.9 | 6 46.2 S22 55.0 | 67 54.7 S18 25.2 | 68 48.6 S17 41.9 | 21 27.4 S22 13.3
15 | 315 34.3 | 21 45.3 S22 54.5 | 82 55.4 S18 25.7 | 83 50.6 S17 42.1 | 36 29.5 S22 13.3
16 | 330 36.8 | 36 44.4 S22 54.1 | 97 56.2 S18 26.1 | 98 52.5 S17 42.2 | 51 31.7 S22 13.3
17 | 345 39.3 | 51 43.5 S22 53.7 | 112 57.0 S18 26.5 | 113 54.5 S17 42.3 | 66 33.8 S22 13.2
18 | 0 41.7 | 66 42.6 S22 53.2 | 127 57.8 S18 26.9 | 128 56.5 S17 42.4 | 81 36.0 S22 13.2
19 | 15 44.2 | 81 41.7 S22 52.8 | 142 58.6 S18 27.3 | 143 58.4 S17 42.5 | 96 38.1 S22 13.2
20 | 30 46.7 | 96 40.9 S22 52.3 | 157 59.4 S18 27.7 | 159 00.4 S17 42.6 | 111 40.3 S22 13.2
21 | 45 49.1 | 111 40.0 S22 51.9 | 173 00.2 S18 28.2 | 174 02.4 S17 42.8 | 126 42.4 S22 13.2
22 | 60 51.6 | 126 39.1 S22 51.5 | 188 00.9 S18 28.6 | 189 04.3 S17 42.9 | 141 44.6 S22 13.2
23 | 75 54.0 | 141 38.2 S22 51.0 | 203 01.7 S18 29.0 | 204 06.3 S17 43.0 | 156 46.7 S22 13.2
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| v -0.9 d 0.4 | v 0.8 d 0.4 | v 2.0 d 0.1 | v 2.1 d 0.0
2871 DEC. 19, 20, 21 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 10.4 S23 17.5 | 349 33.1 12.3 N18 08.5 1.4 54.0 | Acamar 307 05.6 S36 51.3
1 | 196 10.1 S23 17.5 | 4 04.4 12.4 N18 07.1 1.4 54.0 | Achernar 327 24.0 S52 50.7
2 | 211 09.8 S23 17.6 | 18 35.8 12.4 N18 05.6 1.5 54.0 | Acrux 161 02.7 S67 54.1
3 | 226 09.5 S23 17.6 | 33 07.2 12.4 N18 04.0 1.6 54.0 | Adhara 246 41.7 S30 11.5
4 | 241 09.2 S23 17.7 | 47 38.6 12.4 N18 02.3 1.7 54.0 | Albireo 58 27.7 N29 49.3
S 5 | 256 08.9 S23 17.8 | 62 10.0 12.4 N18 00.5 1.8 54.0 |
A | | | Aldebaran 278 25.8 N18 12.2
T 6 | 271 08.6 S23 17.8 | 76 41.4 12.4 N17 58.7 1.8 54.0 | Alioth 156 53.1 N51 15.1
U 7 | 286 08.3 S23 17.9 | 91 12.8 12.4 N17 56.7 1.9 54.0 | Alkaid 144 28.6 N44 59.5
R 8 | 301 08.0 S23 17.9 | 105 44.3 12.4 N17 54.7 2.0 54.0 | Al Na-ir 14 13.9 S42 43.9
D 9 | 316 07.7 S23 18.0 | 120 15.7 12.5 N17 52.6 2.1 54.0 | Alnilam 264 48.6 S 0 41.8
A 10 | 331 07.4 S23 18.0 | 134 47.2 12.5 N17 50.5 2.2 54.0 |
Y 11 | 346 07.1 S23 18.0 | 149 18.7 12.5 N17 48.2 2.3 54.0 | Alphard 207 19.5 S12 27.2
| | | Alphecca 117 01.9 N23 49.4
12 | 1 06.8 S23 18.1 | 163 50.2 12.5 N17 45.9 2.3 54.0 | Alpheratz 346 32.3 N33 53.3
13 | 16 06.5 S23 18.1 | 178 21.7 12.5 N17 43.5 2.4 54.0 | Altair 51 36.8 N11 12.4
14 | 31 06.2 S23 18.2 | 192 53.3 12.5 N17 41.0 2.5 53.9 | Ankaa 342 37.7 S37 36.0
15 | 46 05.9 S23 18.2 | 207 24.8 12.6 N17 38.4 2.6 53.9 |
16 | 61 05.6 S23 18.3 | 221 56.4 12.6 N17 35.7 2.7 53.9 | Antares 99 12.6 S28 18.3
17 | 76 05.3 S23 18.3 | 236 28.0 12.6 N17 33.0 2.7 54.0 | Arcturus 136 04.6 N14 40.9
| | | Atria 84 36.8 S70 31.7
18 | 91 05.1 S23 18.4 | 250 59.6 12.6 N17 30.2 2.8 54.0 | Avior 229 48.8 S62 19.2
19 | 106 04.8 S23 18.4 | 265 31.2 12.6 N17 27.3 2.9 54.0 | Bellatrix 266 57.1 N 7 05.0
20 | 121 04.5 S23 18.4 | 280 02.9 12.6 N17 24.3 3.0 54.0 |
21 | 136 04.2 S23 18.5 | 294 34.5 12.7 N17 21.3 3.0 54.0 | Betelgeuse 259 20.1 N 7 30.9
22 | 151 03.9 S23 18.5 | 309 06.2 12.7 N17 18.1 3.1 54.0 | Canopus 259 04.3 S53 11.7
23 | 166 03.6 S23 18.6 | 323 37.9 12.7 N17 14.9 3.2 54.0 | Capella 264 38.7 N46 48.7
------+-------------------+----------------------------------| Castor 232 24.2 N29 55.7
20 0 | 181 03.3 S23 18.6 | 338 09.6 12.7 N17 11.7 3.3 54.0 | Deneb 42 08.2 N48 24.8
1 | 196 03.0 S23 18.6 | 352 41.3 12.7 N17 08.3 3.4 54.0 |
2 | 211 02.7 S23 18.7 | 7 13.1 12.8 N17 04.9 3.4 54.0 | Denebola 171 34.0 N 9 42.7
3 | 226 02.4 S23 18.7 | 21 44.9 12.8 N17 01.3 3.5 54.0 | Diphda 338 06.4 S13 13.8
4 | 241 02.1 S23 18.7 | 36 16.7 12.8 N16 57.8 3.6 54.0 | Dubhe 180 41.6 N57 02.3
S 5 | 256 01.8 S23 18.8 | 50 48.5 12.8 N16 54.1 3.7 54.0 | Elnath 264 34.5 N29 16.7
U | | | Eltanin 85 42.4 N51 24.6
N 6 | 271 01.5 S23 18.8 | 65 20.3 12.8 N16 50.3 3.7 54.0 |
D 7 | 286 01.2 S23 18.8 | 79 52.2 12.8 N16 46.5 3.8 54.0 | Enif 23 11.2 N13 53.1
A 8 | 301 00.9 S23 18.9 | 94 24.0 12.9 N16 42.6 3.9 54.0 | Fomalhaut 3 31.3 S25 00.5
Y 9 | 316 00.6 S23 18.9 | 108 55.9 12.9 N16 38.7 4.0 54.0 | Gacrux 159 57.8 S61 57.9
10 | 331 00.3 S23 18.9 | 123 27.8 12.9 N16 34.6 4.0 54.0 | Gienah 164 45.3 S22 21.6
11 | 346 00.0 S23 18.9 | 137 59.7 12.9 N16 30.5 4.1 54.0 | Hadar 133 28.5 S64 31.5
| | |
12 | 0 59.7 S23 19.0 | 152 31.7 12.9 N16 26.3 4.2 54.0 | Hamal 315 49.2 N27 32.6
13 | 15 59.4 S23 19.0 | 167 03.7 13.0 N16 22.1 4.3 54.0 | Kaus Austr. 69 27.1 S33 54.8
14 | 30 59.1 S23 19.0 | 181 35.7 13.0 N16 17.7 4.3 54.0 | Kochab 137 42.5 N70 36.0
15 | 45 58.8 S23 19.0 | 196 07.7 13.0 N16 13.3 4.4 54.0 | Markab 2 52.7 N19 53.5
16 | 60 58.5 S23 19.1 | 210 39.7 13.0 N16 08.8 4.5 54.0 | Menkar 302 57.1 N 7 27.6
17 | 75 58.2 S23 19.1 | 225 11.8 13.1 N16 04.3 4.6 54.0 |
| | | Menkent 135 23.6 S40 36.8
18 | 90 58.0 S23 19.1 | 239 43.8 13.1 N15 59.7 4.6 54.0 | Miaplacidus 219 15.2 S73 18.0
19 | 105 57.7 S23 19.1 | 254 15.9 13.1 N15 55.0 4.7 54.0 | Mirfak 293 13.1 N52 54.1
20 | 120 57.4 S23 19.2 | 268 48.0 13.1 N15 50.2 4.8 54.0 | Nunki 62 38.0 S25 09.7
21 | 135 57.1 S23 19.2 | 283 20.2 13.1 N15 45.4 4.8 54.0 | Peacock 36 24.8 S53 53.7
22 | 150 56.8 S23 19.2 | 297 52.3 13.2 N15 40.5 4.9 54.0 |
23 | 165 56.5 S23 19.2 | 312 24.5 13.2 N15 35.5 5.0 54.0 | Polaris 102 08.1 N93 09.7
------+-------------------+----------------------------------| Pollux 230 17.8 N25 52.4
21 0 | 180 56.2 S23 19.2 | 326 56.7 13.2 N15 30.5 5.0 54.0 | Procyon 233 42.5 N 2 57.0
1 | 195 55.9 S23 19.2 | 341 28.9 13.2 N15 25.3 5.1 54.0 | Rasalhague 86 05.0 N11 58.4
2 | 210 55.6 S23 19.3 | 356 01.2 13.2 N15 20.2 5.2 54.1 | Regulus 196 15.2 N 7 41.8
3 | 225 55.3 S23 19.3 | 10 33.4 13.3 N15 14.9 5.2 54.1 |
4 | 240 55.0 S23 19.3 | 25 05.7 13.3 N15 09.6 5.3 54.1 | Rigel 270 48.7 S 7 14.7
M 5 | 255 54.7 S23 19.3 | 39 38.0 13.3 N15 04.2 5.4 54.1 | Rigil Kent 125 08.0 S64 22.6
O | | | Sabik 89 50.5 S16 44.7
N 6 | 270 54.4 S23 19.3 | 54 10.3 13.3 N14 58.8 5.5 54.1 | Schedar 337 20.3 N61 17.8
D 7 | 285 54.1 S23 19.3 | 68 42.7 13.3 N14 53.2 5.5 54.1 | Shaula 81 44.5 S37 40.4
A 8 | 300 53.8 S23 19.3 | 83 15.0 13.4 N14 47.7 5.6 54.1 |
Y 9 | 315 53.5 S23 19.4 | 97 47.4 13.4 N14 42.0 5.6 54.1 | Sirius 249 02.3 S17 57.1
10 | 330 53.2 S23 19.4 | 112 19.8 13.4 N14 36.3 5.7 54.1 | Spica 147 08.3 S15 40.5
11 | 345 52.9 S23 19.4 | 126 52.2 13.4 N14 30.5 5.8 54.1 | Suhail 214 53.5 S46 57.7
| | | Vega 73 18.9 N39 37.6
12 | 0 52.6 S23 19.4 | 141 24.7 13.4 N14 24.7 5.8 54.1 | Zuben-ubi 125 30.1 S19 36.8
13 | 15 52.3 S23 19.4 | 155 57.1 13.5 N14 18.8 5.9 54.1 |
14 | 30 52.0 S23 19.4 | 170 29.6 13.5 N14 12.8 6.0 54.1 |
15 | 45 51.7 S23 19.4 | 185 02.1 13.5 N14 06.8 6.0 54.2 |
16 | 60 51.4 S23 19.4 | 199 34.6 13.5 N14 00.7 6.1 54.2 |
17 | 75 51.1 S23 19.4 | 214 07.2 13.5 N13 54.5 6.2 54.2 |
| | |
18 | 90 50.8 S23 19.4 | 228 39.7 13.6 N13 48.3 6.2 54.2 |
19 | 105 50.5 S23 19.4 | 243 12.3 13.6 N13 42.0 6.3 54.2 |
20 | 120 50.2 S23 19.4 | 257 44.9 13.6 N13 35.6 6.3 54.2 |
21 | 135 49.9 S23 19.4 | 272 17.5 13.6 N13 29.2 6.4 54.2 |
22 | 150 49.6 S23 19.4 | 286 50.2 13.6 N13 22.8 6.5 54.2 |
23 | 165 49.3 S23 19.4 | 301 22.8 13.7 N13 16.3 6.5 54.2 |
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|S.D. 16.2 d 0.0 | S.D. 14.7 14.7 14.7 |
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