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2050 DEC. 16, 17, 18 (FRI, SAT, SUN)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
16 0 | 84 50.4 | 228 23.7 S11 25.7 | 88 52.0 S 2 18.6 | 286 51.8 N10 17.7 | 136 11.8 S19 21.2
1 | 99 52.8 | 243 23.9 S11 26.3 | 103 53.1 S 2 18.0 | 301 54.3 N10 17.6 | 151 14.0 S19 21.1
2 | 114 55.3 | 258 24.1 S11 27.0 | 118 54.2 S 2 17.3 | 316 56.7 N10 17.6 | 166 16.2 S19 21.1
3 | 129 57.8 | 273 24.3 S11 27.6 | 133 55.2 S 2 16.6 | 331 59.1 N10 17.6 | 181 18.5 S19 21.0
4 | 145 00.2 | 288 24.5 S11 28.2 | 148 56.3 S 2 15.9 | 347 01.5 N10 17.6 | 196 20.7 S19 21.0
F 5 | 160 02.7 | 303 24.7 S11 28.8 | 163 57.4 S 2 15.2 | 2 03.9 N10 17.6 | 211 22.9 S19 20.9
R
I 6 | 175 05.2 | 318 24.9 S11 29.5 | 178 58.5 S 2 14.5 | 17 06.3 N10 17.6 | 226 25.1 S19 20.8
D 7 | 190 07.6 | 333 25.1 S11 30.1 | 193 59.5 S 2 13.9 | 32 08.8 N10 17.6 | 241 27.3 S19 20.8
A 8 | 205 10.1 | 348 25.2 S11 30.7 | 209 00.6 S 2 13.2 | 47 11.2 N10 17.6 | 256 29.5 S19 20.7
Y 9 | 220 12.5 | 3 25.4 S11 31.3 | 224 01.7 S 2 12.5 | 62 13.6 N10 17.6 | 271 31.7 S19 20.7
10 | 235 15.0 | 18 25.6 S11 32.0 | 239 02.7 S 2 11.8 | 77 16.0 N10 17.6 | 286 33.9 S19 20.6
11 | 250 17.5 | 33 25.8 S11 32.6 | 254 03.8 S 2 11.1 | 92 18.4 N10 17.6 | 301 36.1 S19 20.5
12 | 265 19.9 | 48 26.0 S11 33.2 | 269 04.9 S 2 10.4 | 107 20.9 N10 17.6 | 316 38.3 S19 20.5
13 | 280 22.4 | 63 26.2 S11 33.8 | 284 05.9 S 2 09.8 | 122 23.3 N10 17.6 | 331 40.5 S19 20.4
14 | 295 24.9 | 78 26.4 S11 34.5 | 299 07.0 S 2 09.1 | 137 25.7 N10 17.6 | 346 42.8 S19 20.4
15 | 310 27.3 | 93 26.6 S11 35.1 | 314 08.1 S 2 08.4 | 152 28.1 N10 17.6 | 1 45.0 S19 20.3
16 | 325 29.8 | 108 26.7 S11 35.7 | 329 09.1 S 2 07.7 | 167 30.6 N10 17.6 | 16 47.2 S19 20.2
17 | 340 32.3 | 123 26.9 S11 36.3 | 344 10.2 S 2 07.0 | 182 33.0 N10 17.6 | 31 49.4 S19 20.2
18 | 355 34.7 | 138 27.1 S11 37.0 | 359 11.3 S 2 06.4 | 197 35.4 N10 17.6 | 46 51.6 S19 20.1
19 | 10 37.2 | 153 27.3 S11 37.6 | 14 12.3 S 2 05.7 | 212 37.8 N10 17.6 | 61 53.8 S19 20.0
20 | 25 39.7 | 168 27.4 S11 38.2 | 29 13.4 S 2 05.0 | 227 40.2 N10 17.6 | 76 56.0 S19 20.0
21 | 40 42.1 | 183 27.6 S11 38.8 | 44 14.5 S 2 04.3 | 242 42.7 N10 17.5 | 91 58.2 S19 19.9
22 | 55 44.6 | 198 27.8 S11 39.5 | 59 15.5 S 2 03.6 | 257 45.1 N10 17.5 | 107 00.4 S19 19.9
23 | 70 47.0 | 213 28.0 S11 40.1 | 74 16.6 S 2 02.9 | 272 47.5 N10 17.5 | 122 02.6 S19 19.8
------+----------+-------------------+-------------------+-------------------+--------------------
17 0 | 85 49.5 | 228 28.1 S11 40.7 | 89 17.7 S 2 02.3 | 287 49.9 N10 17.5 | 137 04.8 S19 19.7
1 | 100 52.0 | 243 28.3 S11 41.4 | 104 18.7 S 2 01.6 | 302 52.4 N10 17.5 | 152 07.0 S19 19.7
2 | 115 54.4 | 258 28.5 S11 42.0 | 119 19.8 S 2 00.9 | 317 54.8 N10 17.5 | 167 09.2 S19 19.6
3 | 130 56.9 | 273 28.7 S11 42.6 | 134 20.9 S 2 00.2 | 332 57.2 N10 17.5 | 182 11.5 S19 19.6
4 | 145 59.4 | 288 28.8 S11 43.3 | 149 21.9 S 1 59.5 | 347 59.6 N10 17.5 | 197 13.7 S19 19.5
S 5 | 161 01.8 | 303 29.0 S11 43.9 | 164 23.0 S 1 58.8 | 3 02.1 N10 17.5 | 212 15.9 S19 19.4
A
T 6 | 176 04.3 | 318 29.2 S11 44.5 | 179 24.1 S 1 58.2 | 18 04.5 N10 17.5 | 227 18.1 S19 19.4
U 7 | 191 06.8 | 333 29.3 S11 45.1 | 194 25.1 S 1 57.5 | 33 06.9 N10 17.5 | 242 20.3 S19 19.3
R 8 | 206 09.2 | 348 29.5 S11 45.8 | 209 26.2 S 1 56.8 | 48 09.4 N10 17.5 | 257 22.5 S19 19.3
D 9 | 221 11.7 | 3 29.7 S11 46.4 | 224 27.3 S 1 56.1 | 63 11.8 N10 17.5 | 272 24.7 S19 19.2
A 10 | 236 14.2 | 18 29.8 S11 47.0 | 239 28.3 S 1 55.4 | 78 14.2 N10 17.5 | 287 26.9 S19 19.1
Y 11 | 251 16.6 | 33 30.0 S11 47.7 | 254 29.4 S 1 54.7 | 93 16.6 N10 17.5 | 302 29.1 S19 19.1
12 | 266 19.1 | 48 30.1 S11 48.3 | 269 30.5 S 1 54.1 | 108 19.1 N10 17.5 | 317 31.3 S19 19.0
13 | 281 21.5 | 63 30.3 S11 48.9 | 284 31.5 S 1 53.4 | 123 21.5 N10 17.5 | 332 33.5 S19 19.0
14 | 296 24.0 | 78 30.5 S11 49.6 | 299 32.6 S 1 52.7 | 138 23.9 N10 17.5 | 347 35.7 S19 18.9
15 | 311 26.5 | 93 30.6 S11 50.2 | 314 33.6 S 1 52.0 | 153 26.4 N10 17.5 | 2 37.9 S19 18.8
16 | 326 28.9 | 108 30.8 S11 50.8 | 329 34.7 S 1 51.3 | 168 28.8 N10 17.5 | 17 40.1 S19 18.8
17 | 341 31.4 | 123 30.9 S11 51.5 | 344 35.8 S 1 50.6 | 183 31.2 N10 17.5 | 32 42.3 S19 18.7
18 | 356 33.9 | 138 31.1 S11 52.1 | 359 36.8 S 1 50.0 | 198 33.6 N10 17.5 | 47 44.6 S19 18.6
19 | 11 36.3 | 153 31.2 S11 52.7 | 14 37.9 S 1 49.3 | 213 36.1 N10 17.5 | 62 46.8 S19 18.6
20 | 26 38.8 | 168 31.4 S11 53.4 | 29 39.0 S 1 48.6 | 228 38.5 N10 17.5 | 77 49.0 S19 18.5
21 | 41 41.3 | 183 31.5 S11 54.0 | 44 40.0 S 1 47.9 | 243 40.9 N10 17.5 | 92 51.2 S19 18.5
22 | 56 43.7 | 198 31.7 S11 54.6 | 59 41.1 S 1 47.2 | 258 43.4 N10 17.5 | 107 53.4 S19 18.4
23 | 71 46.2 | 213 31.8 S11 55.3 | 74 42.2 S 1 46.5 | 273 45.8 N10 17.5 | 122 55.6 S19 18.3
------+----------+-------------------+-------------------+-------------------+--------------------
18 0 | 86 48.6 | 228 32.0 S11 55.9 | 89 43.2 S 1 45.9 | 288 48.2 N10 17.5 | 137 57.8 S19 18.3
1 | 101 51.1 | 243 32.1 S11 56.6 | 104 44.3 S 1 45.2 | 303 50.7 N10 17.5 | 152 60.0 S19 18.2
2 | 116 53.6 | 258 32.3 S11 57.2 | 119 45.3 S 1 44.5 | 318 53.1 N10 17.5 | 168 02.2 S19 18.2
3 | 131 56.0 | 273 32.4 S11 57.8 | 134 46.4 S 1 43.8 | 333 55.5 N10 17.5 | 183 04.4 S19 18.1
4 | 146 58.5 | 288 32.6 S11 58.5 | 149 47.5 S 1 43.1 | 348 58.0 N10 17.5 | 198 06.6 S19 18.0
S 5 | 162 01.0 | 303 32.7 S11 59.1 | 164 48.5 S 1 42.4 | 4 00.4 N10 17.5 | 213 08.8 S19 18.0
U
N 6 | 177 03.4 | 318 32.9 S11 59.7 | 179 49.6 S 1 41.8 | 19 02.8 N10 17.5 | 228 11.0 S19 17.9
D 7 | 192 05.9 | 333 33.0 S12 00.4 | 194 50.7 S 1 41.1 | 34 05.3 N10 17.5 | 243 13.2 S19 17.8
A 8 | 207 08.4 | 348 33.1 S12 01.0 | 209 51.7 S 1 40.4 | 49 07.7 N10 17.5 | 258 15.4 S19 17.8
Y 9 | 222 10.8 | 3 33.3 S12 01.7 | 224 52.8 S 1 39.7 | 64 10.1 N10 17.5 | 273 17.6 S19 17.7
10 | 237 13.3 | 18 33.4 S12 02.3 | 239 53.8 S 1 39.0 | 79 12.6 N10 17.5 | 288 19.8 S19 17.7
11 | 252 15.8 | 33 33.5 S12 02.9 | 254 54.9 S 1 38.3 | 94 15.0 N10 17.5 | 303 22.0 S19 17.6
12 | 267 18.2 | 48 33.7 S12 03.6 | 269 56.0 S 1 37.7 | 109 17.5 N10 17.5 | 318 24.2 S19 17.5
13 | 282 20.7 | 63 33.8 S12 04.2 | 284 57.0 S 1 37.0 | 124 19.9 N10 17.5 | 333 26.4 S19 17.5
14 | 297 23.1 | 78 33.9 S12 04.8 | 299 58.1 S 1 36.3 | 139 22.3 N10 17.5 | 348 28.7 S19 17.4
15 | 312 25.6 | 93 34.1 S12 05.5 | 314 59.1 S 1 35.6 | 154 24.8 N10 17.5 | 3 30.9 S19 17.4
16 | 327 28.1 | 108 34.2 S12 06.1 | 330 00.2 S 1 34.9 | 169 27.2 N10 17.5 | 18 33.1 S19 17.3
17 | 342 30.5 | 123 34.3 S12 06.8 | 345 01.3 S 1 34.2 | 184 29.6 N10 17.5 | 33 35.3 S19 17.2
18 | 357 33.0 | 138 34.5 S12 07.4 | 0 02.3 S 1 33.5 | 199 32.1 N10 17.5 | 48 37.5 S19 17.2
19 | 12 35.5 | 153 34.6 S12 08.0 | 15 03.4 S 1 32.9 | 214 34.5 N10 17.5 | 63 39.7 S19 17.1
20 | 27 37.9 | 168 34.7 S12 08.7 | 30 04.4 S 1 32.2 | 229 37.0 N10 17.5 | 78 41.9 S19 17.0
21 | 42 40.4 | 183 34.9 S12 09.3 | 45 05.5 S 1 31.5 | 244 39.4 N10 17.5 | 93 44.1 S19 17.0
22 | 57 42.9 | 198 35.0 S12 10.0 | 60 06.6 S 1 30.8 | 259 41.8 N10 17.5 | 108 46.3 S19 16.9
23 | 72 45.3 | 213 35.1 S12 10.6 | 75 07.6 S 1 30.1 | 274 44.3 N10 17.5 | 123 48.5 S19 16.9
------+----------+-------------------+-------------------+-------------------+--------------------
| v 0.2 d 0.6 | v 1.1 d 0.7 | v 2.4 d 0.0 | v 2.2 d 0.1
2050 DEC. 16, 17, 18 (FRI, SAT, SUN)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
16 0 | 181 09.1 S23 18.2 | 157 27.7 7.7 S17 45.0 5.3 58.2 | Acamar 314 56.7 S40 06.3
1 | 196 08.8 S23 18.3 | 171 54.5 7.8 S17 39.6 5.4 58.3 | Achernar 335 05.6 S56 59.0
2 | 211 08.5 S23 18.4 | 186 21.3 7.8 S17 34.0 5.5 58.3 | Acrux 172 37.7 S63 22.6
3 | 226 08.2 S23 18.5 | 200 48.1 7.8 S17 28.4 5.6 58.3 | Adhara 254 50.0 S29 02.7
4 | 241 07.9 S23 18.6 | 215 14.9 7.8 S17 22.6 5.7 58.3 | Albireo 66 48.5 N28 04.3
F 5 | 256 07.6 S23 18.8 | 229 41.7 7.8 S17 16.8 5.9 58.3 |
R | | | Aldebaran 290 16.7 N16 36.5
I 6 | 271 07.3 S23 18.9 | 244 08.5 7.8 S17 10.8 6.0 58.4 | Alioth 165 56.3 N55 40.8
D 7 | 286 07.0 S23 19.0 | 258 35.4 7.9 S17 04.7 6.1 58.4 | Alkaid 152 37.1 N49 03.4
A 8 | 301 06.7 S23 19.1 | 273 02.3 7.9 S16 58.6 6.2 58.4 | Al Na-ir 27 08.7 S46 42.9
Y 9 | 316 06.4 S23 19.2 | 287 29.2 7.9 S16 52.3 6.3 58.4 | Alnilam 275 17.4 S 1 10.4
10 | 331 06.1 S23 19.3 | 301 56.1 7.9 S16 45.9 6.4 58.4 |
11 | 346 05.8 S23 19.4 | 316 23.1 8.0 S16 39.4 6.5 58.4 | Alphard 217 28.2 S 8 53.0
| | | Alphecca 125 47.5 N26 32.7
12 | 1 05.5 S23 19.5 | 330 50.1 8.0 S16 32.8 6.6 58.5 | Alpheratz 357 14.3 N29 22.6
13 | 16 05.2 S23 19.6 | 345 17.1 8.0 S16 26.1 6.7 58.5 | Altair 61 41.1 N 9 00.5
14 | 31 04.9 S23 19.7 | 359 44.1 8.0 S16 19.3 6.8 58.5 | Ankaa 352 47.9 S42 02.0
15 | 46 04.6 S23 19.8 | 14 11.1 8.0 S16 12.4 6.9 58.5 |
16 | 61 04.3 S23 19.9 | 28 38.2 8.1 S16 05.4 7.0 58.5 | Antares 111 52.1 S26 32.4
17 | 76 03.9 S23 20.0 | 43 05.3 8.1 S15 58.3 7.1 58.5 | Arcturus 145 30.3 N18 55.0
| | | Atria 106 29.1 S69 06.8
18 | 91 03.6 S23 20.1 | 57 32.4 8.1 S15 51.1 7.2 58.5 | Avior 234 05.9 S59 40.4
19 | 106 03.3 S23 20.2 | 71 59.6 8.2 S15 43.8 7.3 58.6 | Bellatrix 278 01.5 N 6 23.5
20 | 121 03.0 S23 20.3 | 86 26.8 8.2 S15 36.4 7.4 58.6 |
21 | 136 02.7 S23 20.4 | 100 54.0 8.2 S15 28.9 7.5 58.6 | Betelgeuse 270 30.5 N 7 24.7
22 | 151 02.4 S23 20.5 | 115 21.2 8.2 S15 21.3 7.6 58.6 | Canopus 263 43.0 S52 43.6
23 | 166 02.1 S23 20.6 | 129 48.5 8.3 S15 13.6 7.7 58.6 | Capella 279 52.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.7 N31 46.2
17 0 | 181 01.8 S23 20.6 | 144 15.7 8.3 S15 05.8 7.8 58.6 | Deneb 49 12.6 N45 28.2
1 | 196 01.5 S23 20.7 | 158 43.1 8.3 S14 58.0 7.9 58.7 |
2 | 211 01.2 S23 20.8 | 173 10.4 8.3 S14 50.0 8.0 58.7 | Denebola 182 05.0 N14 17.1
3 | 226 00.9 S23 20.9 | 187 37.8 8.4 S14 41.9 8.1 58.7 | Diphda 348 27.6 S17 42.5
4 | 241 00.6 S23 21.0 | 202 05.2 8.4 S14 33.8 8.1 58.7 | Dubhe 193 17.3 N61 28.1
S 5 | 256 00.3 S23 21.1 | 216 32.6 8.4 S14 25.5 8.2 58.7 | Elnath 277 36.7 N28 38.7
A | | | Eltanin 90 33.6 N51 29.2
T 6 | 270 60.0 S23 21.2 | 231 00.1 8.5 S14 17.2 8.3 58.7 |
U 7 | 285 59.7 S23 21.3 | 245 27.6 8.5 S14 08.8 8.4 58.7 | Enif 33 19.6 N10 06.8
R 8 | 300 59.4 S23 21.4 | 259 55.1 8.5 S14 00.3 8.5 58.7 | Fomalhaut 14 53.1 S29 21.1
D 9 | 315 59.1 S23 21.4 | 274 22.7 8.6 S13 51.7 8.6 58.8 | Gacrux 171 29.5 S57 23.7
A 10 | 330 58.8 S23 21.5 | 288 50.3 8.6 S13 43.0 8.7 58.8 | Gienah 175 23.3 S17 49.4
Y 11 | 345 58.4 S23 21.6 | 303 17.9 8.6 S13 34.3 8.8 58.8 | Hadar 148 08.2 S60 36.8
| | |
12 | 0 58.1 S23 21.7 | 317 45.6 8.7 S13 25.4 8.8 58.8 | Hamal 327 28.7 N23 42.3
13 | 15 57.8 S23 21.8 | 332 13.2 8.7 S13 16.5 8.9 58.8 | Kaus Austr. 83 06.9 S34 21.3
14 | 30 57.5 S23 21.8 | 346 41.0 8.7 S13 07.5 9.0 58.8 | Kochab 137 22.3 N73 56.6
15 | 45 57.2 S23 21.9 | 1 08.7 8.7 S12 58.4 9.1 58.8 | Markab 13 10.3 N15 29.0
16 | 60 56.9 S23 22.0 | 15 36.5 8.8 S12 49.3 9.2 58.8 | Menkar 313 45.3 N 4 17.2
17 | 75 56.6 S23 22.1 | 30 04.3 8.8 S12 40.0 9.2 58.8 |
| | | Menkent 147 34.5 S36 37.0
18 | 90 56.3 S23 22.2 | 44 32.1 8.8 S12 30.7 9.3 58.9 | Miaplacidus 221 32.9 S69 55.5
19 | 105 56.0 S23 22.2 | 59 00.0 8.9 S12 21.3 9.4 58.9 | Mirfak 307 59.5 N50 02.5
20 | 120 55.7 S23 22.3 | 73 27.9 8.9 S12 11.8 9.5 58.9 | Nunki 75 23.8 S26 13.7
21 | 135 55.4 S23 22.4 | 87 55.9 8.9 S12 02.3 9.5 58.9 | Peacock 52 35.5 S56 34.1
22 | 150 55.1 S23 22.5 | 102 23.8 9.0 S11 52.7 9.6 58.9 |
23 | 165 54.8 S23 22.5 | 116 51.8 9.0 S11 43.0 9.7 58.9 | Polaris 309 17.1 N89 28.7
------+-------------------+----------------------------------| Pollux 242 53.0 N27 53.8
18 0 | 180 54.5 S23 22.6 | 131 19.9 9.0 S11 33.2 9.8 58.9 | Procyon 244 30.0 N 5 05.4
1 | 195 54.2 S23 22.7 | 145 47.9 9.1 S11 23.4 9.8 58.9 | Rasalhague 95 40.7 N12 31.7
2 | 210 53.8 S23 22.8 | 160 16.0 9.1 S11 13.5 9.9 58.9 | Regulus 207 13.5 N11 42.8
3 | 225 53.5 S23 22.8 | 174 44.2 9.1 S11 03.5 10.0 58.9 |
4 | 240 53.2 S23 22.9 | 189 12.3 9.2 S10 53.5 10.0 59.0 | Rigel 280 44.6 S 8 08.8
S 5 | 255 52.9 S23 23.0 | 203 40.5 9.2 S10 43.4 10.1 59.0 | Rigil Kent 139 13.7 S61 02.4
U | | | Sabik 101 40.6 S15 47.0
N 6 | 270 52.6 S23 23.0 | 218 08.7 9.2 S10 33.3 10.2 59.0 | Schedar 349 08.1 N56 49.3
D 7 | 285 52.3 S23 23.1 | 232 37.0 9.3 S10 23.0 10.2 59.0 | Shaula 95 44.1 S37 08.1
A 8 | 300 52.0 S23 23.2 | 247 05.3 9.3 S10 12.7 10.3 59.0 |
Y 9 | 315 51.7 S23 23.2 | 261 33.6 9.3 S10 02.4 10.3 59.0 | Sirius 258 08.6 S16 47.4
10 | 330 51.4 S23 23.3 | 276 01.9 9.3 S 9 52.0 10.4 59.0 | Spica 158 01.7 S11 25.5
11 | 345 51.1 S23 23.4 | 290 30.3 9.4 S 9 41.5 10.5 59.0 | Suhail 222 31.4 S43 38.3
| | | Vega 80 20.3 N38 50.2
12 | 0 50.8 S23 23.4 | 304 58.7 9.4 S 9 31.0 10.5 59.0 | Zuben-ubi 136 36.0 S16 15.0
13 | 15 50.5 S23 23.5 | 319 27.1 9.4 S 9 20.4 10.6 59.0 |
14 | 30 50.2 S23 23.5 | 333 55.6 9.5 S 9 09.8 10.6 59.0 |
15 | 45 49.8 S23 23.6 | 348 24.0 9.5 S 8 59.1 10.7 59.0 |
16 | 60 49.5 S23 23.7 | 2 52.6 9.5 S 8 48.3 10.7 59.1 |
17 | 75 49.2 S23 23.7 | 17 21.1 9.5 S 8 37.5 10.8 59.1 |
| | |
18 | 90 48.9 S23 23.8 | 31 49.7 9.6 S 8 26.7 10.8 59.1 |
19 | 105 48.6 S23 23.8 | 46 18.2 9.6 S 8 15.8 10.9 59.1 |
20 | 120 48.3 S23 23.9 | 60 46.9 9.6 S 8 04.8 10.9 59.1 |
21 | 135 48.0 S23 24.0 | 75 15.5 9.6 S 7 53.8 11.0 59.1 |
22 | 150 47.7 S23 24.0 | 89 44.2 9.7 S 7 42.8 11.0 59.1 |
23 | 165 47.4 S23 24.1 | 104 12.9 9.7 S 7 31.7 11.1 59.1 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 15.9 16.0 16.1 |