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2050 DEC. 22, 23, 24 (THU, FRI, SAT)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
22 0 | 90 45.2 | 228 41.4 S12 57.9 | 91 24.6 S 0 40.1 | 292 43.2 N10 18.0 | 141 29.1 S19 12.3
1 | 105 47.7 | 243 41.5 S12 58.5 | 106 25.6 S 0 39.4 | 307 45.7 N10 18.0 | 156 31.3 S19 12.2
2 | 120 50.1 | 258 41.5 S12 59.2 | 121 26.7 S 0 38.7 | 322 48.2 N10 18.1 | 171 33.5 S19 12.1
3 | 135 52.6 | 273 41.6 S12 59.9 | 136 27.7 S 0 38.0 | 337 50.6 N10 18.1 | 186 35.7 S19 12.1
4 | 150 55.1 | 288 41.6 S13 00.5 | 151 28.8 S 0 37.3 | 352 53.1 N10 18.1 | 201 37.9 S19 12.0
T 5 | 165 57.5 | 303 41.7 S13 01.2 | 166 29.8 S 0 36.7 | 7 55.6 N10 18.1 | 216 40.1 S19 11.9
H
U 6 | 180 60.0 | 318 41.7 S13 01.8 | 181 30.9 S 0 36.0 | 22 58.0 N10 18.1 | 231 42.3 S19 11.9
R 7 | 196 02.5 | 333 41.8 S13 02.5 | 196 31.9 S 0 35.3 | 38 00.5 N10 18.1 | 246 44.5 S19 11.8
S 8 | 211 04.9 | 348 41.8 S13 03.1 | 211 33.0 S 0 34.6 | 53 03.0 N10 18.1 | 261 46.7 S19 11.7
D 9 | 226 07.4 | 3 41.9 S13 03.8 | 226 34.0 S 0 33.9 | 68 05.4 N10 18.1 | 276 48.9 S19 11.7
A 10 | 241 09.8 | 18 41.9 S13 04.4 | 241 35.1 S 0 33.2 | 83 07.9 N10 18.2 | 291 51.1 S19 11.6
Y 11 | 256 12.3 | 33 41.9 S13 05.1 | 256 36.1 S 0 32.5 | 98 10.4 N10 18.2 | 306 53.3 S19 11.6
12 | 271 14.8 | 48 42.0 S13 05.7 | 271 37.2 S 0 31.9 | 113 12.8 N10 18.2 | 321 55.5 S19 11.5
13 | 286 17.2 | 63 42.0 S13 06.4 | 286 38.2 S 0 31.2 | 128 15.3 N10 18.2 | 336 57.7 S19 11.4
14 | 301 19.7 | 78 42.1 S13 07.0 | 301 39.3 S 0 30.5 | 143 17.8 N10 18.2 | 351 59.9 S19 11.4
15 | 316 22.2 | 93 42.1 S13 07.7 | 316 40.3 S 0 29.8 | 158 20.2 N10 18.2 | 7 02.1 S19 11.3
16 | 331 24.6 | 108 42.1 S13 08.4 | 331 41.4 S 0 29.1 | 173 22.7 N10 18.2 | 22 04.3 S19 11.2
17 | 346 27.1 | 123 42.2 S13 09.0 | 346 42.4 S 0 28.4 | 188 25.2 N10 18.2 | 37 06.4 S19 11.2
18 | 1 29.6 | 138 42.2 S13 09.7 | 1 43.5 S 0 27.7 | 203 27.6 N10 18.3 | 52 08.6 S19 11.1
19 | 16 32.0 | 153 42.2 S13 10.3 | 16 44.5 S 0 27.0 | 218 30.1 N10 18.3 | 67 10.8 S19 11.0
20 | 31 34.5 | 168 42.3 S13 11.0 | 31 45.6 S 0 26.4 | 233 32.6 N10 18.3 | 82 13.0 S19 11.0
21 | 46 36.9 | 183 42.3 S13 11.6 | 46 46.6 S 0 25.7 | 248 35.0 N10 18.3 | 97 15.2 S19 10.9
22 | 61 39.4 | 198 42.3 S13 12.3 | 61 47.7 S 0 25.0 | 263 37.5 N10 18.3 | 112 17.4 S19 10.8
23 | 76 41.9 | 213 42.4 S13 12.9 | 76 48.7 S 0 24.3 | 278 40.0 N10 18.3 | 127 19.6 S19 10.8
------+----------+-------------------+-------------------+-------------------+--------------------
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
------+----------+-------------------+-------------------+-------------------+--------------------
| 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. 22, 23, 24 (THU, FRI, SAT)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
22 0 | 180 24.8 S23 25.8 | 81 33.9 9.8 N 6 43.1 11.3 59.2 | Acamar 314 56.7 S40 06.3
1 | 195 24.5 S23 25.8 | 96 02.7 9.8 N 6 54.4 11.3 59.2 | Achernar 335 05.7 S56 59.0
2 | 210 24.2 S23 25.8 | 110 31.5 9.8 N 7 05.6 11.2 59.1 | Acrux 172 37.7 S63 22.6
3 | 225 23.9 S23 25.8 | 125 00.2 9.8 N 7 16.8 11.2 59.1 | Adhara 254 50.0 S29 02.7
4 | 240 23.5 S23 25.8 | 139 29.0 9.7 N 7 27.9 11.1 59.1 | Albireo 66 48.5 N28 04.3
T 5 | 255 23.2 S23 25.8 | 153 57.7 9.7 N 7 39.0 11.1 59.1 |
H | | | Aldebaran 290 16.7 N16 36.5
U 6 | 270 22.9 S23 25.8 | 168 26.4 9.7 N 7 50.1 11.1 59.1 | Alioth 165 56.2 N55 40.7
R 7 | 285 22.6 S23 25.7 | 182 55.0 9.7 N 8 01.1 11.0 59.1 | Alkaid 152 37.0 N49 03.3
S 8 | 300 22.3 S23 25.7 | 197 23.6 9.6 N 8 12.0 11.0 59.1 | Al Na-ir 27 08.7 S46 42.9
D 9 | 315 22.0 S23 25.7 | 211 52.2 9.6 N 8 23.0 10.9 59.1 | Alnilam 275 17.4 S 1 10.4
A 10 | 330 21.7 S23 25.7 | 226 20.8 9.6 N 8 33.8 10.9 59.1 |
Y 11 | 345 21.4 S23 25.7 | 240 49.4 9.5 N 8 44.6 10.8 59.1 | Alphard 217 28.2 S 8 53.0
| | | Alphecca 125 47.5 N26 32.7
12 | 0 21.1 S23 25.7 | 255 17.9 9.5 N 8 55.4 10.8 59.1 | Alpheratz 357 14.3 N29 22.6
13 | 15 20.7 S23 25.7 | 269 46.4 9.5 N 9 06.1 10.7 59.1 | Altair 61 41.1 N 9 00.5
14 | 30 20.4 S23 25.6 | 284 14.8 9.5 N 9 16.8 10.7 59.1 | Ankaa 352 48.0 S42 02.0
15 | 45 20.1 S23 25.6 | 298 43.3 9.4 N 9 27.4 10.6 59.1 |
16 | 60 19.8 S23 25.6 | 313 11.7 9.4 N 9 37.9 10.5 59.1 | Antares 111 52.0 S26 32.4
17 | 75 19.5 S23 25.6 | 327 40.1 9.4 N 9 48.4 10.5 59.1 | Arcturus 145 30.2 N18 55.0
| | | Atria 106 29.1 S69 06.8
18 | 90 19.2 S23 25.6 | 342 08.4 9.3 N 9 58.8 10.4 59.1 | Avior 234 05.9 S59 40.5
19 | 105 18.9 S23 25.5 | 356 36.7 9.3 N10 09.2 10.4 59.1 | Bellatrix 278 01.5 N 6 23.5
20 | 120 18.6 S23 25.5 | 11 05.0 9.3 N10 19.5 10.3 59.1 |
21 | 135 18.3 S23 25.5 | 25 33.2 9.2 N10 29.7 10.2 59.0 | Betelgeuse 270 30.5 N 7 24.7
22 | 150 18.0 S23 25.5 | 40 01.5 9.2 N10 39.9 10.2 59.0 | Canopus 263 43.0 S52 43.6
23 | 165 17.6 S23 25.5 | 54 29.6 9.2 N10 50.0 10.1 59.0 | Capella 279 52.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.7 N31 46.2
23 0 | 180 17.3 S23 25.4 | 68 57.8 9.2 N11 00.1 10.1 59.0 | Deneb 49 12.6 N45 28.1
1 | 195 17.0 S23 25.4 | 83 25.9 9.1 N11 10.1 10.0 59.0 |
2 | 210 16.7 S23 25.4 | 97 54.0 9.1 N11 20.0 9.9 59.0 | Denebola 182 05.0 N14 17.1
3 | 225 16.4 S23 25.3 | 112 22.1 9.1 N11 29.9 9.9 59.0 | Diphda 348 27.6 S17 42.5
4 | 240 16.1 S23 25.3 | 126 50.1 9.0 N11 39.6 9.8 59.0 | Dubhe 193 17.2 N61 28.1
F 5 | 255 15.8 S23 25.3 | 141 18.1 9.0 N11 49.4 9.7 59.0 | Elnath 277 36.6 N28 38.7
R | | | Eltanin 90 33.6 N51 29.1
I 6 | 270 15.5 S23 25.3 | 155 46.0 9.0 N11 59.0 9.6 59.0 |
D 7 | 285 15.2 S23 25.2 | 170 13.9 8.9 N12 08.6 9.6 59.0 | Enif 33 19.6 N10 06.8
A 8 | 300 14.9 S23 25.2 | 184 41.8 8.9 N12 18.1 9.5 59.0 | Fomalhaut 14 53.1 S29 21.1
Y 9 | 315 14.5 S23 25.2 | 199 09.7 8.9 N12 27.5 9.4 59.0 | Gacrux 171 29.4 S57 23.7
10 | 330 14.2 S23 25.1 | 213 37.5 8.8 N12 36.8 9.3 58.9 | Gienah 175 23.3 S17 49.4
11 | 345 13.9 S23 25.1 | 228 05.3 8.8 N12 46.1 9.3 58.9 | Hadar 148 08.1 S60 36.8
| | |
12 | 0 13.6 S23 25.1 | 242 33.0 8.7 N12 55.3 9.2 58.9 | Hamal 327 28.7 N23 42.3
13 | 15 13.3 S23 25.0 | 257 00.7 8.7 N13 04.4 9.1 58.9 | Kaus Austr. 83 06.9 S34 21.3
14 | 30 13.0 S23 25.0 | 271 28.4 8.7 N13 13.5 9.0 58.9 | Kochab 137 22.2 N73 56.6
15 | 45 12.7 S23 25.0 | 285 56.1 8.6 N13 22.4 9.0 58.9 | Markab 13 10.3 N15 29.0
16 | 60 12.4 S23 24.9 | 300 23.7 8.6 N13 31.3 8.9 58.9 | Menkar 313 45.3 N 4 17.2
17 | 75 12.1 S23 24.9 | 314 51.2 8.6 N13 40.1 8.8 58.9 |
| | | Menkent 147 34.5 S36 37.0
18 | 90 11.8 S23 24.8 | 329 18.8 8.5 N13 48.8 8.7 58.9 | Miaplacidus 221 32.8 S69 55.6
19 | 105 11.4 S23 24.8 | 343 46.3 8.5 N13 57.4 8.6 58.9 | Mirfak 307 59.5 N50 02.5
20 | 120 11.1 S23 24.8 | 358 13.8 8.5 N14 06.0 8.5 58.9 | Nunki 75 23.8 S26 13.7
21 | 135 10.8 S23 24.7 | 12 41.2 8.4 N14 14.4 8.5 58.8 | Peacock 52 35.5 S56 34.1
22 | 150 10.5 S23 24.7 | 27 08.6 8.4 N14 22.8 8.4 58.8 |
23 | 165 10.2 S23 24.6 | 41 36.0 8.4 N14 31.1 8.3 58.8 | Polaris 309 18.9 N89 28.7
------+-------------------+----------------------------------| Pollux 242 53.0 N27 53.8
24 0 | 180 09.9 S23 24.6 | 56 03.3 8.3 N14 39.2 8.2 58.8 | Procyon 244 30.0 N 5 05.3
1 | 195 09.6 S23 24.5 | 70 30.6 8.3 N14 47.3 8.1 58.8 | Rasalhague 95 40.7 N12 31.7
2 | 210 09.3 S23 24.5 | 84 57.9 8.3 N14 55.4 8.0 58.8 | Regulus 207 13.4 N11 42.8
3 | 225 09.0 S23 24.4 | 99 25.1 8.2 N15 03.3 7.9 58.8 |
4 | 240 08.7 S23 24.4 | 113 52.3 8.2 N15 11.1 7.8 58.8 | Rigel 280 44.6 S 8 08.9
S 5 | 255 08.4 S23 24.3 | 128 19.5 8.2 N15 18.8 7.7 58.8 | Rigil Kent 139 13.6 S61 02.3
A | | | Sabik 101 40.6 S15 47.0
T 6 | 270 08.0 S23 24.3 | 142 46.6 8.1 N15 26.5 7.6 58.8 | Schedar 349 08.1 N56 49.3
U 7 | 285 07.7 S23 24.2 | 157 13.7 8.1 N15 34.0 7.5 58.7 | Shaula 95 44.1 S37 08.1
R 8 | 300 07.4 S23 24.2 | 171 40.8 8.1 N15 41.4 7.4 58.7 |
D 9 | 315 07.1 S23 24.1 | 186 07.8 8.0 N15 48.8 7.3 58.7 | Sirius 258 08.6 S16 47.4
A 10 | 330 06.8 S23 24.1 | 200 34.8 8.0 N15 56.0 7.2 58.7 | Spica 158 01.6 S11 25.5
Y 11 | 345 06.5 S23 24.0 | 215 01.8 8.0 N16 03.2 7.2 58.7 | Suhail 222 31.3 S43 38.4
| | | Vega 80 20.3 N38 50.1
12 | 0 06.2 S23 24.0 | 229 28.7 7.9 N16 10.2 7.1 58.7 | Zuben-ubi 136 35.9 S16 15.0
13 | 15 05.9 S23 23.9 | 243 55.7 7.9 N16 17.2 7.0 58.7 |
14 | 30 05.6 S23 23.9 | 258 22.5 7.9 N16 24.0 6.8 58.7 |
15 | 45 05.3 S23 23.8 | 272 49.4 7.9 N16 30.8 6.7 58.6 |
16 | 60 04.9 S23 23.8 | 287 16.2 7.8 N16 37.4 6.6 58.6 |
17 | 75 04.6 S23 23.7 | 301 43.0 7.8 N16 44.0 6.5 58.6 |
| | |
18 | 90 04.3 S23 23.6 | 316 09.8 7.8 N16 50.4 6.4 58.6 |
19 | 105 04.0 S23 23.6 | 330 36.6 7.7 N16 56.7 6.3 58.6 |
20 | 120 03.7 S23 23.5 | 345 03.3 7.7 N17 03.0 6.2 58.6 |
21 | 135 03.4 S23 23.4 | 359 30.0 7.7 N17 09.1 6.1 58.6 |
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 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 16.1 16.1 16.0 |