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2050 DEC. 23, 24, 25 (FRI, SAT, SUN)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
23 0 | 91 44.3 | 228 42.4 S13 13.6 | 91 49.7 S 0 23.6 | 293 42.5 N10 18.3 | 142 21.8 S19 10.7
1 | 106 46.8 | 243 42.4 S13 14.3 | 106 50.8 S 0 22.9 | 308 44.9 N10 18.4 | 157 24.0 S19 10.6
2 | 121 49.3 | 258 42.4 S13 14.9 | 121 51.8 S 0 22.2 | 323 47.4 N10 18.4 | 172 26.2 S19 10.6
3 | 136 51.7 | 273 42.5 S13 15.6 | 136 52.9 S 0 21.6 | 338 49.9 N10 18.4 | 187 28.4 S19 10.5
4 | 151 54.2 | 288 42.5 S13 16.2 | 151 53.9 S 0 20.9 | 353 52.3 N10 18.4 | 202 30.6 S19 10.5
F 5 | 166 56.7 | 303 42.5 S13 16.9 | 166 55.0 S 0 20.2 | 8 54.8 N10 18.4 | 217 32.8 S19 10.4
R
I 6 | 181 59.1 | 318 42.5 S13 17.5 | 181 56.0 S 0 19.5 | 23 57.3 N10 18.4 | 232 35.0 S19 10.3
D 7 | 197 01.6 | 333 42.6 S13 18.2 | 196 57.1 S 0 18.8 | 38 59.8 N10 18.5 | 247 37.2 S19 10.3
A 8 | 212 04.1 | 348 42.6 S13 18.8 | 211 58.1 S 0 18.1 | 54 02.2 N10 18.5 | 262 39.4 S19 10.2
Y 9 | 227 06.5 | 3 42.6 S13 19.5 | 226 59.2 S 0 17.4 | 69 04.7 N10 18.5 | 277 41.6 S19 10.1
10 | 242 09.0 | 18 42.6 S13 20.2 | 242 00.2 S 0 16.7 | 84 07.2 N10 18.5 | 292 43.8 S19 10.1
11 | 257 11.4 | 33 42.6 S13 20.8 | 257 01.2 S 0 16.1 | 99 09.7 N10 18.5 | 307 46.0 S19 10.0
12 | 272 13.9 | 48 42.6 S13 21.5 | 272 02.3 S 0 15.4 | 114 12.1 N10 18.5 | 322 48.2 S19 09.9
13 | 287 16.4 | 63 42.7 S13 22.1 | 287 03.3 S 0 14.7 | 129 14.6 N10 18.5 | 337 50.4 S19 09.9
14 | 302 18.8 | 78 42.7 S13 22.8 | 302 04.4 S 0 14.0 | 144 17.1 N10 18.6 | 352 52.5 S19 09.8
15 | 317 21.3 | 93 42.7 S13 23.4 | 317 05.4 S 0 13.3 | 159 19.6 N10 18.6 | 7 54.7 S19 09.7
16 | 332 23.8 | 108 42.7 S13 24.1 | 332 06.5 S 0 12.6 | 174 22.0 N10 18.6 | 22 56.9 S19 09.7
17 | 347 26.2 | 123 42.7 S13 24.7 | 347 07.5 S 0 11.9 | 189 24.5 N10 18.6 | 37 59.1 S19 09.6
18 | 2 28.7 | 138 42.7 S13 25.4 | 2 08.6 S 0 11.3 | 204 27.0 N10 18.6 | 53 01.3 S19 09.5
19 | 17 31.2 | 153 42.7 S13 26.1 | 17 09.6 S 0 10.6 | 219 29.5 N10 18.6 | 68 03.5 S19 09.5
20 | 32 33.6 | 168 42.7 S13 26.7 | 32 10.6 S 0 09.9 | 234 31.9 N10 18.7 | 83 05.7 S19 09.4
21 | 47 36.1 | 183 42.8 S13 27.4 | 47 11.7 S 0 09.2 | 249 34.4 N10 18.7 | 98 07.9 S19 09.4
22 | 62 38.6 | 198 42.8 S13 28.0 | 62 12.7 S 0 08.5 | 264 36.9 N10 18.7 | 113 10.1 S19 09.3
23 | 77 41.0 | 213 42.8 S13 28.7 | 77 13.8 S 0 07.8 | 279 39.4 N10 18.7 | 128 12.3 S19 09.2
------+----------+-------------------+-------------------+-------------------+--------------------
24 0 | 92 43.5 | 228 42.8 S13 29.3 | 92 14.8 S 0 07.1 | 294 41.9 N10 18.7 | 143 14.5 S19 09.2
1 | 107 45.9 | 243 42.8 S13 30.0 | 107 15.9 S 0 06.4 | 309 44.3 N10 18.8 | 158 16.7 S19 09.1
2 | 122 48.4 | 258 42.8 S13 30.7 | 122 16.9 S 0 05.8 | 324 46.8 N10 18.8 | 173 18.9 S19 09.0
3 | 137 50.9 | 273 42.8 S13 31.3 | 137 18.0 S 0 05.1 | 339 49.3 N10 18.8 | 188 21.1 S19 09.0
4 | 152 53.3 | 288 42.8 S13 32.0 | 152 19.0 S 0 04.4 | 354 51.8 N10 18.8 | 203 23.3 S19 08.9
S 5 | 167 55.8 | 303 42.8 S13 32.6 | 167 20.0 S 0 03.7 | 9 54.3 N10 18.8 | 218 25.5 S19 08.8
A
T 6 | 182 58.3 | 318 42.8 S13 33.3 | 182 21.1 S 0 03.0 | 24 56.7 N10 18.8 | 233 27.6 S19 08.8
U 7 | 198 00.7 | 333 42.8 S13 33.9 | 197 22.1 S 0 02.3 | 39 59.2 N10 18.9 | 248 29.8 S19 08.7
R 8 | 213 03.2 | 348 42.8 S13 34.6 | 212 23.2 S 0 01.6 | 55 01.7 N10 18.9 | 263 32.0 S19 08.6
D 9 | 228 05.7 | 3 42.8 S13 35.3 | 227 24.2 S 0 01.0 | 70 04.2 N10 18.9 | 278 34.2 S19 08.6
A 10 | 243 08.1 | 18 42.8 S13 35.9 | 242 25.2 S 0 00.3 | 85 06.7 N10 18.9 | 293 36.4 S19 08.5
Y 11 | 258 10.6 | 33 42.8 S13 36.6 | 257 26.3 N 0 00.4 | 100 09.1 N10 18.9 | 308 38.6 S19 08.4
12 | 273 13.0 | 48 42.8 S13 37.2 | 272 27.3 N 0 01.1 | 115 11.6 N10 19.0 | 323 40.8 S19 08.4
13 | 288 15.5 | 63 42.8 S13 37.9 | 287 28.4 N 0 01.8 | 130 14.1 N10 19.0 | 338 43.0 S19 08.3
14 | 303 18.0 | 78 42.7 S13 38.5 | 302 29.4 N 0 02.5 | 145 16.6 N10 19.0 | 353 45.2 S19 08.2
15 | 318 20.4 | 93 42.7 S13 39.2 | 317 30.5 N 0 03.2 | 160 19.1 N10 19.0 | 8 47.4 S19 08.2
16 | 333 22.9 | 108 42.7 S13 39.9 | 332 31.5 N 0 03.9 | 175 21.6 N10 19.0 | 23 49.6 S19 08.1
17 | 348 25.4 | 123 42.7 S13 40.5 | 347 32.5 N 0 04.5 | 190 24.0 N10 19.0 | 38 51.8 S19 08.0
18 | 3 27.8 | 138 42.7 S13 41.2 | 2 33.6 N 0 05.2 | 205 26.5 N10 19.1 | 53 54.0 S19 08.0
19 | 18 30.3 | 153 42.7 S13 41.8 | 17 34.6 N 0 05.9 | 220 29.0 N10 19.1 | 68 56.2 S19 07.9
20 | 33 32.8 | 168 42.7 S13 42.5 | 32 35.7 N 0 06.6 | 235 31.5 N10 19.1 | 83 58.3 S19 07.8
21 | 48 35.2 | 183 42.7 S13 43.1 | 47 36.7 N 0 07.3 | 250 34.0 N10 19.1 | 99 00.5 S19 07.8
22 | 63 37.7 | 198 42.6 S13 43.8 | 62 37.7 N 0 08.0 | 265 36.5 N10 19.1 | 114 02.7 S19 07.7
23 | 78 40.2 | 213 42.6 S13 44.5 | 77 38.8 N 0 08.7 | 280 39.0 N10 19.2 | 129 04.9 S19 07.6
------+----------+-------------------+-------------------+-------------------+--------------------
25 0 | 93 42.6 | 228 42.6 S13 45.1 | 92 39.8 N 0 09.4 | 295 41.4 N10 19.2 | 144 07.1 S19 07.6
1 | 108 45.1 | 243 42.6 S13 45.8 | 107 40.9 N 0 10.0 | 310 43.9 N10 19.2 | 159 09.3 S19 07.5
2 | 123 47.5 | 258 42.6 S13 46.4 | 122 41.9 N 0 10.7 | 325 46.4 N10 19.2 | 174 11.5 S19 07.5
3 | 138 50.0 | 273 42.6 S13 47.1 | 137 42.9 N 0 11.4 | 340 48.9 N10 19.3 | 189 13.7 S19 07.4
4 | 153 52.5 | 288 42.5 S13 47.7 | 152 44.0 N 0 12.1 | 355 51.4 N10 19.3 | 204 15.9 S19 07.3
S 5 | 168 54.9 | 303 42.5 S13 48.4 | 167 45.0 N 0 12.8 | 10 53.9 N10 19.3 | 219 18.1 S19 07.3
U
N 6 | 183 57.4 | 318 42.5 S13 49.1 | 182 46.1 N 0 13.5 | 25 56.4 N10 19.3 | 234 20.3 S19 07.2
D 7 | 198 59.9 | 333 42.5 S13 49.7 | 197 47.1 N 0 14.2 | 40 58.8 N10 19.3 | 249 22.5 S19 07.1
A 8 | 214 02.3 | 348 42.4 S13 50.4 | 212 48.1 N 0 14.9 | 56 01.3 N10 19.4 | 264 24.6 S19 07.1
Y 9 | 229 04.8 | 3 42.4 S13 51.0 | 227 49.2 N 0 15.5 | 71 03.8 N10 19.4 | 279 26.8 S19 07.0
10 | 244 07.3 | 18 42.4 S13 51.7 | 242 50.2 N 0 16.2 | 86 06.3 N10 19.4 | 294 29.0 S19 06.9
11 | 259 09.7 | 33 42.4 S13 52.3 | 257 51.3 N 0 16.9 | 101 08.8 N10 19.4 | 309 31.2 S19 06.9
12 | 274 12.2 | 48 42.3 S13 53.0 | 272 52.3 N 0 17.6 | 116 11.3 N10 19.4 | 324 33.4 S19 06.8
13 | 289 14.7 | 63 42.3 S13 53.7 | 287 53.3 N 0 18.3 | 131 13.8 N10 19.5 | 339 35.6 S19 06.7
14 | 304 17.1 | 78 42.3 S13 54.3 | 302 54.4 N 0 19.0 | 146 16.3 N10 19.5 | 354 37.8 S19 06.7
15 | 319 19.6 | 93 42.2 S13 55.0 | 317 55.4 N 0 19.7 | 161 18.8 N10 19.5 | 9 40.0 S19 06.6
16 | 334 22.0 | 108 42.2 S13 55.6 | 332 56.5 N 0 20.4 | 176 21.3 N10 19.5 | 24 42.2 S19 06.5
17 | 349 24.5 | 123 42.2 S13 56.3 | 347 57.5 N 0 21.0 | 191 23.8 N10 19.6 | 39 44.4 S19 06.5
18 | 4 27.0 | 138 42.1 S13 56.9 | 2 58.5 N 0 21.7 | 206 26.2 N10 19.6 | 54 46.6 S19 06.4
19 | 19 29.4 | 153 42.1 S13 57.6 | 17 59.6 N 0 22.4 | 221 28.7 N10 19.6 | 69 48.7 S19 06.3
20 | 34 31.9 | 168 42.1 S13 58.3 | 33 00.6 N 0 23.1 | 236 31.2 N10 19.6 | 84 50.9 S19 06.3
21 | 49 34.4 | 183 42.0 S13 58.9 | 48 01.6 N 0 23.8 | 251 33.7 N10 19.6 | 99 53.1 S19 06.2
22 | 64 36.8 | 198 42.0 S13 59.6 | 63 02.7 N 0 24.5 | 266 36.2 N10 19.7 | 114 55.3 S19 06.1
23 | 79 39.3 | 213 42.0 S14 00.2 | 78 03.7 N 0 25.2 | 281 38.7 N10 19.7 | 129 57.5 S19 06.1
------+----------+-------------------+-------------------+-------------------+--------------------
| v 0.0 d 0.7 | v 1.0 d 0.7 | v 2.5 d 0.0 | v 2.2 d 0.1
2050 DEC. 23, 24, 25 (FRI, SAT, SUN)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
23 0 | 180 17.3 S23 25.4 | 68 57.8 9.2 N11 00.1 10.1 59.0 | Acamar 314 56.7 S40 06.3
1 | 195 17.0 S23 25.4 | 83 25.9 9.1 N11 10.1 10.0 59.0 | Achernar 335 05.7 S56 59.0
2 | 210 16.7 S23 25.4 | 97 54.0 9.1 N11 20.0 9.9 59.0 | Acrux 172 37.6 S63 22.6
3 | 225 16.4 S23 25.3 | 112 22.1 9.1 N11 29.9 9.9 59.0 | Adhara 254 50.0 S29 02.7
4 | 240 16.1 S23 25.3 | 126 50.1 9.0 N11 39.6 9.8 59.0 | Albireo 66 48.5 N28 04.3
F 5 | 255 15.8 S23 25.3 | 141 18.1 9.0 N11 49.4 9.7 59.0 |
R | | | Aldebaran 290 16.7 N16 36.5
I 6 | 270 15.5 S23 25.3 | 155 46.0 9.0 N11 59.0 9.6 59.0 | Alioth 165 56.2 N55 40.7
D 7 | 285 15.2 S23 25.2 | 170 13.9 8.9 N12 08.6 9.6 59.0 | Alkaid 152 37.0 N49 03.3
A 8 | 300 14.9 S23 25.2 | 184 41.8 8.9 N12 18.1 9.5 59.0 | Al Na-ir 27 08.7 S46 42.9
Y 9 | 315 14.5 S23 25.2 | 199 09.7 8.9 N12 27.5 9.4 59.0 | Alnilam 275 17.4 S 1 10.5
10 | 330 14.2 S23 25.1 | 213 37.5 8.8 N12 36.8 9.3 58.9 |
11 | 345 13.9 S23 25.1 | 228 05.3 8.8 N12 46.1 9.3 58.9 | Alphard 217 28.2 S 8 53.0
| | | Alphecca 125 47.5 N26 32.7
12 | 0 13.6 S23 25.1 | 242 33.0 8.7 N12 55.3 9.2 58.9 | Alpheratz 357 14.3 N29 22.6
13 | 15 13.3 S23 25.0 | 257 00.7 8.7 N13 04.4 9.1 58.9 | Altair 61 41.1 N 9 00.5
14 | 30 13.0 S23 25.0 | 271 28.4 8.7 N13 13.5 9.0 58.9 | Ankaa 352 48.0 S42 02.0
15 | 45 12.7 S23 25.0 | 285 56.1 8.6 N13 22.4 9.0 58.9 |
16 | 60 12.4 S23 24.9 | 300 23.7 8.6 N13 31.3 8.9 58.9 | Antares 111 52.0 S26 32.4
17 | 75 12.1 S23 24.9 | 314 51.2 8.6 N13 40.1 8.8 58.9 | Arcturus 145 30.2 N18 55.0
| | | Atria 106 29.0 S69 06.7
18 | 90 11.8 S23 24.8 | 329 18.8 8.5 N13 48.8 8.7 58.9 | Avior 234 05.9 S59 40.5
19 | 105 11.4 S23 24.8 | 343 46.3 8.5 N13 57.4 8.6 58.9 | Bellatrix 278 01.5 N 6 23.5
20 | 120 11.1 S23 24.8 | 358 13.8 8.5 N14 06.0 8.5 58.9 |
21 | 135 10.8 S23 24.7 | 12 41.2 8.4 N14 14.4 8.5 58.8 | Betelgeuse 270 30.5 N 7 24.7
22 | 150 10.5 S23 24.7 | 27 08.6 8.4 N14 22.8 8.4 58.8 | Canopus 263 43.0 S52 43.6
23 | 165 10.2 S23 24.6 | 41 36.0 8.4 N14 31.1 8.3 58.8 | Capella 279 52.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.7 N31 46.2
24 0 | 180 09.9 S23 24.6 | 56 03.3 8.3 N14 39.2 8.2 58.8 | Deneb 49 12.6 N45 28.1
1 | 195 09.6 S23 24.5 | 70 30.6 8.3 N14 47.3 8.1 58.8 |
2 | 210 09.3 S23 24.5 | 84 57.9 8.3 N14 55.4 8.0 58.8 | Denebola 182 05.0 N14 17.0
3 | 225 09.0 S23 24.4 | 99 25.1 8.2 N15 03.3 7.9 58.8 | Diphda 348 27.6 S17 42.5
4 | 240 08.7 S23 24.4 | 113 52.3 8.2 N15 11.1 7.8 58.8 | Dubhe 193 17.2 N61 28.1
S 5 | 255 08.4 S23 24.3 | 128 19.5 8.2 N15 18.8 7.7 58.8 | Elnath 277 36.6 N28 38.7
A | | | Eltanin 90 33.6 N51 29.1
T 6 | 270 08.0 S23 24.3 | 142 46.6 8.1 N15 26.5 7.6 58.8 |
U 7 | 285 07.7 S23 24.2 | 157 13.7 8.1 N15 34.0 7.5 58.7 | Enif 33 19.6 N10 06.8
R 8 | 300 07.4 S23 24.2 | 171 40.8 8.1 N15 41.4 7.4 58.7 | Fomalhaut 14 53.1 S29 21.1
D 9 | 315 07.1 S23 24.1 | 186 07.8 8.0 N15 48.8 7.3 58.7 | Gacrux 171 29.4 S57 23.7
A 10 | 330 06.8 S23 24.1 | 200 34.8 8.0 N15 56.0 7.2 58.7 | Gienah 175 23.3 S17 49.4
Y 11 | 345 06.5 S23 24.0 | 215 01.8 8.0 N16 03.2 7.2 58.7 | Hadar 148 08.1 S60 36.7
| | |
12 | 0 06.2 S23 24.0 | 229 28.7 7.9 N16 10.2 7.1 58.7 | Hamal 327 28.7 N23 42.3
13 | 15 05.9 S23 23.9 | 243 55.7 7.9 N16 17.2 7.0 58.7 | Kaus Austr. 83 06.9 S34 21.3
14 | 30 05.6 S23 23.9 | 258 22.5 7.9 N16 24.0 6.8 58.7 | Kochab 137 22.2 N73 56.6
15 | 45 05.3 S23 23.8 | 272 49.4 7.9 N16 30.8 6.7 58.6 | Markab 13 10.3 N15 29.0
16 | 60 04.9 S23 23.8 | 287 16.2 7.8 N16 37.4 6.6 58.6 | Menkar 313 45.3 N 4 17.2
17 | 75 04.6 S23 23.7 | 301 43.0 7.8 N16 44.0 6.5 58.6 |
| | | Menkent 147 34.5 S36 37.0
18 | 90 04.3 S23 23.6 | 316 09.8 7.8 N16 50.4 6.4 58.6 | Miaplacidus 221 32.8 S69 55.6
19 | 105 04.0 S23 23.6 | 330 36.6 7.7 N16 56.7 6.3 58.6 | Mirfak 307 59.5 N50 02.5
20 | 120 03.7 S23 23.5 | 345 03.3 7.7 N17 03.0 6.2 58.6 | Nunki 75 23.8 S26 13.7
21 | 135 03.4 S23 23.4 | 359 30.0 7.7 N17 09.1 6.1 58.6 | Peacock 52 35.5 S56 34.1
22 | 150 03.1 S23 23.4 | 13 56.6 7.7 N17 15.1 6.0 58.6 |
23 | 165 02.8 S23 23.3 | 28 23.3 7.6 N17 21.0 5.9 58.5 | Polaris 309 19.2 N89 28.7
------+-------------------+----------------------------------| Pollux 242 53.0 N27 53.8
25 0 | 180 02.5 S23 23.3 | 42 49.9 7.6 N17 26.8 5.8 58.5 | Procyon 244 30.0 N 5 05.3
1 | 195 02.2 S23 23.2 | 57 16.5 7.6 N17 32.5 5.7 58.5 | Rasalhague 95 40.7 N12 31.7
2 | 210 01.9 S23 23.1 | 71 43.1 7.6 N17 38.1 5.6 58.5 | Regulus 207 13.4 N11 42.8
3 | 225 01.6 S23 23.1 | 86 09.6 7.6 N17 43.5 5.5 58.5 |
4 | 240 01.2 S23 23.0 | 100 36.2 7.5 N17 48.9 5.4 58.5 | Rigel 280 44.6 S 8 08.9
S 5 | 255 00.9 S23 22.9 | 115 02.7 7.5 N17 54.2 5.2 58.5 | Rigil Kent 139 13.6 S61 02.3
U | | | Sabik 101 40.6 S15 47.0
N 6 | 270 00.6 S23 22.9 | 129 29.2 7.5 N17 59.3 5.1 58.4 | Schedar 349 08.1 N56 49.3
D 7 | 285 00.3 S23 22.8 | 143 55.6 7.5 N18 04.3 5.0 58.4 | Shaula 95 44.1 S37 08.1
A 8 | 300 00.0 S23 22.7 | 158 22.1 7.5 N18 09.2 4.9 58.4 |
Y 9 | 314 59.7 S23 22.6 | 172 48.5 7.4 N18 14.0 4.8 58.4 | Sirius 258 08.6 S16 47.4
10 | 329 59.4 S23 22.6 | 187 15.0 7.4 N18 18.7 4.7 58.4 | Spica 158 01.6 S11 25.5
11 | 344 59.1 S23 22.5 | 201 41.4 7.4 N18 23.3 4.6 58.4 | Suhail 222 31.3 S43 38.4
| | | Vega 80 20.3 N38 50.1
12 | 359 58.8 S23 22.4 | 216 07.7 7.4 N18 27.7 4.5 58.3 | Zuben-ubi 136 35.9 S16 15.0
13 | 14 58.5 S23 22.3 | 230 34.1 7.4 N18 32.0 4.3 58.3 |
14 | 29 58.2 S23 22.3 | 245 00.5 7.4 N18 36.3 4.2 58.3 |
15 | 44 57.8 S23 22.2 | 259 26.8 7.4 N18 40.4 4.1 58.3 |
16 | 59 57.5 S23 22.1 | 273 53.2 7.3 N18 44.4 4.0 58.3 |
17 | 74 57.2 S23 22.0 | 288 19.5 7.3 N18 48.2 3.9 58.3 |
| | |
18 | 89 56.9 S23 22.0 | 302 45.8 7.3 N18 52.0 3.8 58.2 |
19 | 104 56.6 S23 21.9 | 317 12.2 7.3 N18 55.6 3.6 58.2 |
20 | 119 56.3 S23 21.8 | 331 38.5 7.3 N18 59.1 3.5 58.2 |
21 | 134 56.0 S23 21.7 | 346 04.8 7.3 N19 02.5 3.4 58.2 |
22 | 149 55.7 S23 21.6 | 0 31.1 7.3 N19 05.8 3.3 58.2 |
23 | 164 55.4 S23 21.6 | 14 57.3 7.3 N19 09.0 3.2 58.2 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 16.1 16.0 15.9 |