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2051 DEC. 19, 20, 21 (TUE, WED, THU)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 33.4 | 144 03.0 S21 49.2 | 216 50.0 S18 09.4 | 262 55.9 S 0 39.3 | 127 50.0 S16 46.6
1 | 102 35.9 | 159 02.2 S21 48.5 | 231 50.7 S18 09.9 | 277 58.1 S 0 39.4 | 142 52.3 S16 46.5
2 | 117 38.3 | 174 01.5 S21 47.9 | 246 51.5 S18 10.3 | 293 00.4 S 0 39.4 | 157 54.5 S16 46.4
3 | 132 40.8 | 189 00.7 S21 47.2 | 261 52.2 S18 10.8 | 308 02.6 S 0 39.5 | 172 56.7 S16 46.3
4 | 147 43.2 | 203 60.0 S21 46.5 | 276 53.0 S18 11.2 | 323 04.9 S 0 39.6 | 187 59.0 S16 46.3
T 5 | 162 45.7 | 218 59.2 S21 45.9 | 291 53.7 S18 11.7 | 338 07.1 S 0 39.7 | 203 01.2 S16 46.2
U
E 6 | 177 48.2 | 233 58.4 S21 45.2 | 306 54.5 S18 12.1 | 353 09.3 S 0 39.8 | 218 03.4 S16 46.1
S 7 | 192 50.6 | 248 57.7 S21 44.5 | 321 55.2 S18 12.5 | 8 11.6 S 0 39.9 | 233 05.7 S16 46.1
D 8 | 207 53.1 | 263 56.9 S21 43.9 | 336 56.0 S18 13.0 | 23 13.8 S 0 40.0 | 248 07.9 S16 46.0
A 9 | 222 55.6 | 278 56.2 S21 43.2 | 351 56.7 S18 13.4 | 38 16.0 S 0 40.1 | 263 10.2 S16 45.9
Y 10 | 237 58.0 | 293 55.4 S21 42.5 | 6 57.4 S18 13.9 | 53 18.3 S 0 40.1 | 278 12.4 S16 45.9
11 | 253 00.5 | 308 54.7 S21 41.9 | 21 58.2 S18 14.3 | 68 20.5 S 0 40.2 | 293 14.6 S16 45.8
12 | 268 03.0 | 323 53.9 S21 41.2 | 36 58.9 S18 14.8 | 83 22.8 S 0 40.3 | 308 16.9 S16 45.7
13 | 283 05.4 | 338 53.2 S21 40.5 | 51 59.7 S18 15.2 | 98 25.0 S 0 40.4 | 323 19.1 S16 45.6
14 | 298 07.9 | 353 52.4 S21 39.8 | 67 00.4 S18 15.7 | 113 27.2 S 0 40.5 | 338 21.3 S16 45.6
15 | 313 10.3 | 8 51.6 S21 39.2 | 82 01.2 S18 16.1 | 128 29.5 S 0 40.6 | 353 23.6 S16 45.5
16 | 328 12.8 | 23 50.9 S21 38.5 | 97 01.9 S18 16.6 | 143 31.7 S 0 40.7 | 8 25.8 S16 45.4
17 | 343 15.3 | 38 50.1 S21 37.8 | 112 02.7 S18 17.0 | 158 34.0 S 0 40.7 | 23 28.0 S16 45.4
18 | 358 17.7 | 53 49.4 S21 37.1 | 127 03.4 S18 17.4 | 173 36.2 S 0 40.8 | 38 30.3 S16 45.3
19 | 13 20.2 | 68 48.6 S21 36.5 | 142 04.2 S18 17.9 | 188 38.5 S 0 40.9 | 53 32.5 S16 45.2
20 | 28 22.7 | 83 47.9 S21 35.8 | 157 04.9 S18 18.3 | 203 40.7 S 0 41.0 | 68 34.7 S16 45.2
21 | 43 25.1 | 98 47.1 S21 35.1 | 172 05.7 S18 18.8 | 218 42.9 S 0 41.1 | 83 37.0 S16 45.1
22 | 58 27.6 | 113 46.4 S21 34.4 | 187 06.4 S18 19.2 | 233 45.2 S 0 41.2 | 98 39.2 S16 45.0
23 | 73 30.1 | 128 45.6 S21 33.7 | 202 07.2 S18 19.7 | 248 47.4 S 0 41.2 | 113 41.5 S16 44.9
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 32.5 | 143 44.9 S21 33.0 | 217 07.9 S18 20.1 | 263 49.7 S 0 41.3 | 128 43.7 S16 44.9
1 | 103 35.0 | 158 44.2 S21 32.4 | 232 08.7 S18 20.5 | 278 51.9 S 0 41.4 | 143 45.9 S16 44.8
2 | 118 37.5 | 173 43.4 S21 31.7 | 247 09.4 S18 21.0 | 293 54.1 S 0 41.5 | 158 48.2 S16 44.7
3 | 133 39.9 | 188 42.7 S21 31.0 | 262 10.1 S18 21.4 | 308 56.4 S 0 41.6 | 173 50.4 S16 44.7
4 | 148 42.4 | 203 41.9 S21 30.3 | 277 10.9 S18 21.9 | 323 58.6 S 0 41.7 | 188 52.6 S16 44.6
W 5 | 163 44.8 | 218 41.2 S21 29.6 | 292 11.6 S18 22.3 | 339 00.9 S 0 41.8 | 203 54.9 S16 44.5
E
D 6 | 178 47.3 | 233 40.4 S21 28.9 | 307 12.4 S18 22.7 | 354 03.1 S 0 41.8 | 218 57.1 S16 44.4
N 7 | 193 49.8 | 248 39.7 S21 28.2 | 322 13.1 S18 23.2 | 9 05.4 S 0 41.9 | 233 59.3 S16 44.4
E 8 | 208 52.2 | 263 38.9 S21 27.5 | 337 13.9 S18 23.6 | 24 07.6 S 0 42.0 | 249 01.6 S16 44.3
S 9 | 223 54.7 | 278 38.2 S21 26.8 | 352 14.6 S18 24.1 | 39 09.9 S 0 42.1 | 264 03.8 S16 44.2
D 10 | 238 57.2 | 293 37.5 S21 26.1 | 7 15.4 S18 24.5 | 54 12.1 S 0 42.2 | 279 06.0 S16 44.2
A 11 | 253 59.6 | 308 36.7 S21 25.4 | 22 16.1 S18 24.9 | 69 14.3 S 0 42.3 | 294 08.3 S16 44.1
Y
12 | 269 02.1 | 323 36.0 S21 24.7 | 37 16.8 S18 25.4 | 84 16.6 S 0 42.3 | 309 10.5 S16 44.0
13 | 284 04.6 | 338 35.2 S21 24.0 | 52 17.6 S18 25.8 | 99 18.8 S 0 42.4 | 324 12.7 S16 44.0
14 | 299 07.0 | 353 34.5 S21 23.3 | 67 18.3 S18 26.3 | 114 21.1 S 0 42.5 | 339 15.0 S16 43.9
15 | 314 09.5 | 8 33.8 S21 22.6 | 82 19.1 S18 26.7 | 129 23.3 S 0 42.6 | 354 17.2 S16 43.8
16 | 329 12.0 | 23 33.0 S21 21.9 | 97 19.8 S18 27.1 | 144 25.6 S 0 42.7 | 9 19.4 S16 43.7
17 | 344 14.4 | 38 32.3 S21 21.2 | 112 20.6 S18 27.6 | 159 27.8 S 0 42.7 | 24 21.7 S16 43.7
18 | 359 16.9 | 53 31.6 S21 20.5 | 127 21.3 S18 28.0 | 174 30.1 S 0 42.8 | 39 23.9 S16 43.6
19 | 14 19.3 | 68 30.8 S21 19.8 | 142 22.0 S18 28.5 | 189 32.3 S 0 42.9 | 54 26.1 S16 43.5
20 | 29 21.8 | 83 30.1 S21 19.1 | 157 22.8 S18 28.9 | 204 34.6 S 0 43.0 | 69 28.4 S16 43.5
21 | 44 24.3 | 98 29.4 S21 18.4 | 172 23.5 S18 29.3 | 219 36.8 S 0 43.1 | 84 30.6 S16 43.4
22 | 59 26.7 | 113 28.6 S21 17.7 | 187 24.3 S18 29.8 | 234 39.1 S 0 43.2 | 99 32.8 S16 43.3
23 | 74 29.2 | 128 27.9 S21 17.0 | 202 25.0 S18 30.2 | 249 41.3 S 0 43.2 | 114 35.1 S16 43.2
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 31.7 | 143 27.2 S21 16.3 | 217 25.8 S18 30.6 | 264 43.6 S 0 43.3 | 129 37.3 S16 43.2
1 | 104 34.1 | 158 26.4 S21 15.6 | 232 26.5 S18 31.1 | 279 45.8 S 0 43.4 | 144 39.5 S16 43.1
2 | 119 36.6 | 173 25.7 S21 14.9 | 247 27.2 S18 31.5 | 294 48.1 S 0 43.5 | 159 41.8 S16 43.0
3 | 134 39.1 | 188 25.0 S21 14.1 | 262 28.0 S18 31.9 | 309 50.3 S 0 43.6 | 174 44.0 S16 43.0
4 | 149 41.5 | 203 24.2 S21 13.4 | 277 28.7 S18 32.4 | 324 52.6 S 0 43.6 | 189 46.2 S16 42.9
T 5 | 164 44.0 | 218 23.5 S21 12.7 | 292 29.5 S18 32.8 | 339 54.8 S 0 43.7 | 204 48.5 S16 42.8
H
U 6 | 179 46.5 | 233 22.8 S21 12.0 | 307 30.2 S18 33.2 | 354 57.1 S 0 43.8 | 219 50.7 S16 42.7
R 7 | 194 48.9 | 248 22.0 S21 11.3 | 322 30.9 S18 33.7 | 9 59.3 S 0 43.9 | 234 52.9 S16 42.7
S 8 | 209 51.4 | 263 21.3 S21 10.6 | 337 31.7 S18 34.1 | 25 01.6 S 0 44.0 | 249 55.1 S16 42.6
D 9 | 224 53.8 | 278 20.6 S21 09.8 | 352 32.4 S18 34.5 | 40 03.8 S 0 44.1 | 264 57.4 S16 42.5
A 10 | 239 56.3 | 293 19.9 S21 09.1 | 7 33.2 S18 35.0 | 55 06.1 S 0 44.1 | 279 59.6 S16 42.5
Y 11 | 254 58.8 | 308 19.1 S21 08.4 | 22 33.9 S18 35.4 | 70 08.3 S 0 44.2 | 295 01.8 S16 42.4
12 | 270 01.2 | 323 18.4 S21 07.7 | 37 34.6 S18 35.9 | 85 10.6 S 0 44.3 | 310 04.1 S16 42.3
13 | 285 03.7 | 338 17.7 S21 07.0 | 52 35.4 S18 36.3 | 100 12.8 S 0 44.4 | 325 06.3 S16 42.2
14 | 300 06.2 | 353 17.0 S21 06.2 | 67 36.1 S18 36.7 | 115 15.1 S 0 44.5 | 340 08.5 S16 42.2
15 | 315 08.6 | 8 16.2 S21 05.5 | 82 36.8 S18 37.1 | 130 17.3 S 0 44.5 | 355 10.8 S16 42.1
16 | 330 11.1 | 23 15.5 S21 04.8 | 97 37.6 S18 37.6 | 145 19.6 S 0 44.6 | 10 13.0 S16 42.0
17 | 345 13.6 | 38 14.8 S21 04.0 | 112 38.3 S18 38.0 | 160 21.8 S 0 44.7 | 25 15.2 S16 42.0
18 | 0 16.0 | 53 14.1 S21 03.3 | 127 39.1 S18 38.4 | 175 24.1 S 0 44.8 | 40 17.5 S16 41.9
19 | 15 18.5 | 68 13.3 S21 02.6 | 142 39.8 S18 38.9 | 190 26.3 S 0 44.9 | 55 19.7 S16 41.8
20 | 30 20.9 | 83 12.6 S21 01.9 | 157 40.5 S18 39.3 | 205 28.6 S 0 44.9 | 70 21.9 S16 41.7
21 | 45 23.4 | 98 11.9 S21 01.1 | 172 41.3 S18 39.7 | 220 30.8 S 0 45.0 | 85 24.1 S16 41.7
22 | 60 25.9 | 113 11.2 S21 00.4 | 187 42.0 S18 40.2 | 235 33.1 S 0 45.1 | 100 26.4 S16 41.6
23 | 75 28.3 | 128 10.5 S20 59.7 | 202 42.7 S18 40.6 | 250 35.3 S 0 45.2 | 115 28.6 S16 41.5
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.7 d 0.7 | v 0.7 d 0.4 | v 2.2 d 0.1 | v 2.2 d 0.1
2051 DEC. 19, 20, 21 (TUE, WED, THU)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 180 49.0 S23 23.8 | 341 51.9 6.2 N17 35.5 4.1 59.3 | Acamar 314 56.2 S40 06.1
1 | 195 48.7 S23 23.8 | 356 17.2 6.3 N17 31.3 4.2 59.3 | Achernar 335 05.2 S56 58.7
2 | 210 48.4 S23 23.9 | 10 42.6 6.4 N17 27.0 4.4 59.3 | Acrux 172 36.9 S63 22.9
3 | 225 48.1 S23 23.9 | 25 08.0 6.5 N17 22.5 4.5 59.2 | Adhara 254 49.5 S29 02.8
4 | 240 47.8 S23 24.0 | 39 33.6 6.5 N17 17.9 4.6 59.2 | Albireo 66 48.0 N28 04.5
T 5 | 255 47.5 S23 24.1 | 53 59.2 6.6 N17 13.2 4.7 59.2 |
U | | | Aldebaran 290 15.9 N16 36.5
E 6 | 270 47.2 S23 24.1 | 68 24.9 6.7 N17 08.5 4.8 59.1 | Alioth 165 55.7 N55 40.5
S 7 | 285 46.9 S23 24.2 | 82 50.6 6.8 N17 03.6 4.9 59.1 | Alkaid 152 36.5 N49 03.1
D 8 | 300 46.6 S23 24.2 | 97 16.4 6.8 N16 58.6 5.0 59.1 | Al Na-ir 27 07.9 S46 42.6
A 9 | 315 46.3 S23 24.3 | 111 42.3 6.9 N16 53.5 5.1 59.0 | Alnilam 275 16.7 S 1 10.4
Y 10 | 330 46.0 S23 24.3 | 126 08.3 7.0 N16 48.3 5.2 59.0 |
11 | 345 45.6 S23 24.4 | 140 34.4 7.1 N16 43.0 5.3 59.0 | Alphard 217 27.5 S 8 53.2
| | | Alphecca 125 46.9 N26 32.5
12 | 0 45.3 S23 24.4 | 155 00.5 7.1 N16 37.6 5.4 58.9 | Alpheratz 357 13.6 N29 22.9
13 | 15 45.0 S23 24.5 | 169 26.7 7.2 N16 32.1 5.5 58.9 | Altair 61 40.4 N 9 00.7
14 | 30 44.7 S23 24.5 | 183 53.0 7.3 N16 26.5 5.6 58.9 | Ankaa 352 47.3 S42 01.7
15 | 45 44.4 S23 24.5 | 198 19.4 7.4 N16 20.8 5.7 58.8 |
16 | 60 44.1 S23 24.6 | 212 45.8 7.4 N16 15.1 5.8 58.8 | Antares 111 51.2 S26 32.5
17 | 75 43.8 S23 24.6 | 227 12.3 7.5 N16 09.2 5.9 58.8 | Arcturus 145 29.7 N18 54.8
| | | Atria 106 27.6 S69 06.8
18 | 90 43.5 S23 24.7 | 241 38.9 7.6 N16 03.2 6.0 58.7 | Avior 234 05.6 S59 40.6
19 | 105 43.2 S23 24.7 | 256 05.6 7.7 N15 57.2 6.1 58.7 | Bellatrix 278 00.7 N 6 23.5
20 | 120 42.9 S23 24.8 | 270 32.4 7.8 N15 51.0 6.1 58.7 |
21 | 135 42.6 S23 24.8 | 284 59.3 7.9 N15 44.8 6.2 58.6 | Betelgeuse 270 29.7 N 7 24.7
22 | 150 42.3 S23 24.8 | 299 26.2 7.9 N15 38.5 6.3 58.6 | Canopus 263 42.7 S52 43.6
23 | 165 42.0 S23 24.9 | 313 53.2 8.0 N15 32.1 6.4 58.6 | Capella 279 51.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 30.9 N31 46.1
20 0 | 180 41.6 S23 24.9 | 328 20.3 8.1 N15 25.6 6.5 58.5 | Deneb 49 12.1 N45 28.4
1 | 195 41.3 S23 25.0 | 342 47.5 8.2 N15 19.0 6.6 58.5 |
2 | 210 41.0 S23 25.0 | 357 14.8 8.3 N15 12.3 6.7 58.5 | Denebola 182 04.3 N14 16.8
3 | 225 40.7 S23 25.0 | 11 42.1 8.3 N15 05.6 6.7 58.4 | Diphda 348 27.0 S17 42.2
4 | 240 40.4 S23 25.1 | 26 09.5 8.4 N14 58.8 6.8 58.4 | Dubhe 193 16.5 N61 27.8
W 5 | 255 40.1 S23 25.1 | 40 37.1 8.5 N14 51.8 6.9 58.3 | Elnath 277 35.8 N28 38.7
E | | | Eltanin 90 33.3 N51 29.2
D 6 | 270 39.8 S23 25.1 | 55 04.7 8.6 N14 44.9 7.0 58.3 |
N 7 | 285 39.5 S23 25.2 | 69 32.3 8.7 N14 37.8 7.1 58.3 | Enif 33 18.9 N10 07.1
E 8 | 300 39.2 S23 25.2 | 84 00.1 8.8 N14 30.7 7.1 58.2 | Fomalhaut 14 52.4 S29 20.9
S 9 | 315 38.9 S23 25.2 | 98 28.0 8.8 N14 23.5 7.2 58.2 | Gacrux 171 28.7 S57 24.0
D 10 | 330 38.6 S23 25.3 | 112 55.9 8.9 N14 16.2 7.3 58.2 | Gienah 175 22.6 S17 49.7
A 11 | 345 38.3 S23 25.3 | 127 23.9 9.0 N14 08.8 7.4 58.1 | Hadar 148 07.1 S60 37.0
Y | | |
12 | 0 37.9 S23 25.3 | 141 52.0 9.1 N14 01.4 7.4 58.1 | Hamal 327 28.0 N23 42.5
13 | 15 37.6 S23 25.3 | 156 20.2 9.2 N13 53.9 7.5 58.1 | Kaus Austr. 83 06.0 S34 21.3
14 | 30 37.3 S23 25.4 | 170 48.5 9.3 N13 46.3 7.6 58.0 | Kochab 137 22.4 N73 56.4
15 | 45 37.0 S23 25.4 | 185 16.8 9.4 N13 38.7 7.6 58.0 | Markab 13 09.6 N15 29.3
16 | 60 36.7 S23 25.4 | 199 45.2 9.4 N13 31.0 7.7 57.9 | Menkar 313 44.6 N 4 17.4
17 | 75 36.4 S23 25.4 | 214 13.8 9.5 N13 23.2 7.8 57.9 |
| | | Menkent 147 33.7 S36 37.3
18 | 90 36.1 S23 25.5 | 228 42.3 9.6 N13 15.4 7.8 57.9 | Miaplacidus 221 32.6 S69 55.8
19 | 105 35.8 S23 25.5 | 243 11.0 9.7 N13 07.5 7.9 57.8 | Mirfak 307 58.5 N50 02.7
20 | 120 35.5 S23 25.5 | 257 39.8 9.8 N12 59.5 8.0 57.8 | Nunki 75 23.0 S26 13.6
21 | 135 35.2 S23 25.5 | 272 08.6 9.8 N12 51.5 8.0 57.8 | Peacock 52 34.5 S56 33.9
22 | 150 34.9 S23 25.6 | 286 37.6 9.9 N12 43.4 8.1 57.7 |
23 | 165 34.5 S23 25.6 | 301 06.6 10.0 N12 35.3 8.1 57.7 | Polaris 309 02.6 N89 28.9
------+-------------------+----------------------------------| Pollux 242 52.2 N27 53.6
21 0 | 180 34.2 S23 25.6 | 315 35.7 10.1 N12 27.1 8.2 57.6 | Procyon 244 29.3 N 5 05.2
1 | 195 33.9 S23 25.6 | 330 04.8 10.2 N12 18.9 8.3 57.6 | Rasalhague 95 40.1 N12 31.7
2 | 210 33.6 S23 25.6 | 344 34.1 10.3 N12 10.5 8.3 57.6 | Regulus 207 12.7 N11 42.5
3 | 225 33.3 S23 25.6 | 359 03.4 10.3 N12 02.2 8.4 57.5 |
4 | 240 33.0 S23 25.7 | 13 32.8 10.4 N11 53.8 8.4 57.5 | Rigel 280 44.0 S 8 08.8
T 5 | 255 32.7 S23 25.7 | 28 02.3 10.5 N11 45.3 8.5 57.5 | Rigil Kent 139 12.7 S61 02.6
H | | | Sabik 101 39.8 S15 47.0
U 6 | 270 32.4 S23 25.7 | 42 31.9 10.6 N11 36.8 8.5 57.4 | Schedar 349 07.3 N56 49.6
R 7 | 285 32.1 S23 25.7 | 57 01.6 10.6 N11 28.2 8.6 57.4 | Shaula 95 43.2 S37 08.1
S 8 | 300 31.8 S23 25.7 | 71 31.3 10.7 N11 19.6 8.6 57.3 |
D 9 | 315 31.5 S23 25.7 | 86 01.1 10.8 N11 10.9 8.7 57.3 | Sirius 258 08.0 S16 47.5
A 10 | 330 31.2 S23 25.7 | 100 31.0 10.9 N11 02.2 8.7 57.3 | Spica 158 00.9 S11 25.8
Y 11 | 345 30.8 S23 25.8 | 115 00.9 11.0 N10 53.5 8.8 57.2 | Suhail 222 30.8 S43 38.6
| | | Vega 80 19.9 N38 50.2
12 | 0 30.5 S23 25.8 | 129 31.0 11.0 N10 44.7 8.8 57.2 | Zuben-ubi 136 35.2 S16 15.2
13 | 15 30.2 S23 25.8 | 144 01.1 11.1 N10 35.8 8.8 57.2 |
14 | 30 29.9 S23 25.8 | 158 31.3 11.2 N10 27.0 8.9 57.1 |
15 | 45 29.6 S23 25.8 | 173 01.5 11.3 N10 18.0 8.9 57.1 |
16 | 60 29.3 S23 25.8 | 187 31.9 11.3 N10 09.1 9.0 57.1 |
17 | 75 29.0 S23 25.8 | 202 02.3 11.4 N10 00.1 9.0 57.0 |
| | |
18 | 90 28.7 S23 25.8 | 216 32.8 11.5 N 9 51.0 9.0 57.0 |
19 | 105 28.4 S23 25.8 | 231 03.3 11.6 N 9 41.9 9.1 56.9 |
20 | 120 28.1 S23 25.8 | 245 33.9 11.6 N 9 32.8 9.1 56.9 |
21 | 135 27.7 S23 25.8 | 260 04.6 11.7 N 9 23.6 9.2 56.9 |
22 | 150 27.4 S23 25.8 | 274 35.4 11.8 N 9 14.5 9.2 56.8 |
23 | 165 27.1 S23 25.8 | 289 06.2 11.8 N 9 05.2 9.2 56.8 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 16.1 15.8 15.6 |