
2931 DEC. 19, 20, 21 (WED, THU, FRI)
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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 27.7 | 226 58.3 S13 06.4 | 237 04.5 S11 00.5 | 198 36.7 S21 10.2 | 155 55.5 S21 28.2
1 | 102 30.1 | 241 57.9 S13 07.2 | 252 05.6 S11 01.0 | 213 38.6 S21 10.3 | 170 57.7 S21 28.2
2 | 117 32.6 | 256 57.6 S13 08.0 | 267 06.6 S11 01.5 | 228 40.5 S21 10.4 | 185 59.8 S21 28.1
3 | 132 35.1 | 271 57.2 S13 08.9 | 282 07.6 S11 02.0 | 243 42.4 S21 10.4 | 201 02.0 S21 28.1
4 | 147 37.5 | 286 56.9 S13 09.7 | 297 08.7 S11 02.5 | 258 44.2 S21 10.5 | 216 04.2 S21 28.1
W 5 | 162 40.0 | 301 56.6 S13 10.5 | 312 09.7 S11 03.1 | 273 46.1 S21 10.6 | 231 06.3 S21 28.0
E
D 6 | 177 42.5 | 316 56.2 S13 11.3 | 327 10.7 S11 03.6 | 288 48.0 S21 10.7 | 246 08.5 S21 28.0
N 7 | 192 44.9 | 331 55.9 S13 12.2 | 342 11.8 S11 04.1 | 303 49.9 S21 10.8 | 261 10.6 S21 27.9
E 8 | 207 47.4 | 346 55.5 S13 13.0 | 357 12.8 S11 04.6 | 318 51.8 S21 10.8 | 276 12.8 S21 27.9
S 9 | 222 49.8 | 1 55.2 S13 13.8 | 12 13.8 S11 05.1 | 333 53.7 S21 10.9 | 291 15.0 S21 27.9
D 10 | 237 52.3 | 16 54.8 S13 14.6 | 27 14.8 S11 05.6 | 348 55.6 S21 11.0 | 306 17.1 S21 27.8
A 11 | 252 54.8 | 31 54.5 S13 15.4 | 42 15.9 S11 06.2 | 3 57.5 S21 11.1 | 321 19.3 S21 27.8
Y
12 | 267 57.2 | 46 54.1 S13 16.3 | 57 16.9 S11 06.7 | 18 59.4 S21 11.2 | 336 21.5 S21 27.8
13 | 282 59.7 | 61 53.8 S13 17.1 | 72 17.9 S11 07.2 | 34 01.3 S21 11.2 | 351 23.6 S21 27.7
14 | 298 02.2 | 76 53.4 S13 17.9 | 87 19.0 S11 07.7 | 49 03.1 S21 11.3 | 6 25.8 S21 27.7
15 | 313 04.6 | 91 53.1 S13 18.7 | 102 20.0 S11 08.2 | 64 05.0 S21 11.4 | 21 28.0 S21 27.6
16 | 328 07.1 | 106 52.7 S13 19.5 | 117 21.0 S11 08.7 | 79 06.9 S21 11.5 | 36 30.1 S21 27.6
17 | 343 09.6 | 121 52.4 S13 20.4 | 132 22.1 S11 09.2 | 94 08.8 S21 11.5 | 51 32.3 S21 27.6
18 | 358 12.0 | 136 52.0 S13 21.2 | 147 23.1 S11 09.8 | 109 10.7 S21 11.6 | 66 34.5 S21 27.5
19 | 13 14.5 | 151 51.7 S13 22.0 | 162 24.1 S11 10.3 | 124 12.6 S21 11.7 | 81 36.6 S21 27.5
20 | 28 16.9 | 166 51.3 S13 22.8 | 177 25.2 S11 10.8 | 139 14.5 S21 11.8 | 96 38.8 S21 27.5
21 | 43 19.4 | 181 51.0 S13 23.6 | 192 26.2 S11 11.3 | 154 16.4 S21 11.9 | 111 41.0 S21 27.4
22 | 58 21.9 | 196 50.6 S13 24.4 | 207 27.2 S11 11.8 | 169 18.3 S21 11.9 | 126 43.1 S21 27.4
23 | 73 24.3 | 211 50.2 S13 25.3 | 222 28.2 S11 12.3 | 184 20.2 S21 12.0 | 141 45.3 S21 27.3
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 26.8 | 226 49.9 S13 26.1 | 237 29.3 S11 12.8 | 199 22.0 S21 12.1 | 156 47.5 S21 27.3
1 | 103 29.3 | 241 49.5 S13 26.9 | 252 30.3 S11 13.4 | 214 23.9 S21 12.2 | 171 49.6 S21 27.3
2 | 118 31.7 | 256 49.2 S13 27.7 | 267 31.3 S11 13.9 | 229 25.8 S21 12.2 | 186 51.8 S21 27.2
3 | 133 34.2 | 271 48.8 S13 28.5 | 282 32.4 S11 14.4 | 244 27.7 S21 12.3 | 201 54.0 S21 27.2
4 | 148 36.7 | 286 48.5 S13 29.3 | 297 33.4 S11 14.9 | 259 29.6 S21 12.4 | 216 56.1 S21 27.2
T 5 | 163 39.1 | 301 48.1 S13 30.2 | 312 34.4 S11 15.4 | 274 31.5 S21 12.5 | 231 58.3 S21 27.1
H
U 6 | 178 41.6 | 316 47.7 S13 31.0 | 327 35.5 S11 15.9 | 289 33.4 S21 12.6 | 247 00.5 S21 27.1
R 7 | 193 44.1 | 331 47.4 S13 31.8 | 342 36.5 S11 16.4 | 304 35.3 S21 12.6 | 262 02.6 S21 27.0
S 8 | 208 46.5 | 346 47.0 S13 32.6 | 357 37.5 S11 16.9 | 319 37.2 S21 12.7 | 277 04.8 S21 27.0
D 9 | 223 49.0 | 1 46.7 S13 33.4 | 12 38.5 S11 17.5 | 334 39.1 S21 12.8 | 292 06.9 S21 27.0
A 10 | 238 51.4 | 16 46.3 S13 34.2 | 27 39.6 S11 18.0 | 349 41.0 S21 12.9 | 307 09.1 S21 26.9
Y 11 | 253 53.9 | 31 45.9 S13 35.0 | 42 40.6 S11 18.5 | 4 42.8 S21 12.9 | 322 11.3 S21 26.9
12 | 268 56.4 | 46 45.6 S13 35.9 | 57 41.6 S11 19.0 | 19 44.7 S21 13.0 | 337 13.4 S21 26.9
13 | 283 58.8 | 61 45.2 S13 36.7 | 72 42.7 S11 19.5 | 34 46.6 S21 13.1 | 352 15.6 S21 26.8
14 | 299 01.3 | 76 44.8 S13 37.5 | 87 43.7 S11 20.0 | 49 48.5 S21 13.2 | 7 17.8 S21 26.8
15 | 314 03.8 | 91 44.5 S13 38.3 | 102 44.7 S11 20.5 | 64 50.4 S21 13.2 | 22 19.9 S21 26.7
16 | 329 06.2 | 106 44.1 S13 39.1 | 117 45.8 S11 21.0 | 79 52.3 S21 13.3 | 37 22.1 S21 26.7
17 | 344 08.7 | 121 43.8 S13 39.9 | 132 46.8 S11 21.5 | 94 54.2 S21 13.4 | 52 24.3 S21 26.7
18 | 359 11.2 | 136 43.4 S13 40.7 | 147 47.8 S11 22.1 | 109 56.1 S21 13.5 | 67 26.4 S21 26.6
19 | 14 13.6 | 151 43.0 S13 41.5 | 162 48.8 S11 22.6 | 124 58.0 S21 13.6 | 82 28.6 S21 26.6
20 | 29 16.1 | 166 42.7 S13 42.3 | 177 49.9 S11 23.1 | 139 59.9 S21 13.6 | 97 30.8 S21 26.6
21 | 44 18.6 | 181 42.3 S13 43.2 | 192 50.9 S11 23.6 | 155 01.8 S21 13.7 | 112 32.9 S21 26.5
22 | 59 21.0 | 196 41.9 S13 44.0 | 207 51.9 S11 24.1 | 170 03.7 S21 13.8 | 127 35.1 S21 26.5
23 | 74 23.5 | 211 41.5 S13 44.8 | 222 53.0 S11 24.6 | 185 05.5 S21 13.9 | 142 37.2 S21 26.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 25.9 | 226 41.2 S13 45.6 | 237 54.0 S11 25.1 | 200 07.4 S21 13.9 | 157 39.4 S21 26.4
1 | 104 28.4 | 241 40.8 S13 46.4 | 252 55.0 S11 25.6 | 215 09.3 S21 14.0 | 172 41.6 S21 26.4
2 | 119 30.9 | 256 40.4 S13 47.2 | 267 56.0 S11 26.1 | 230 11.2 S21 14.1 | 187 43.7 S21 26.3
3 | 134 33.3 | 271 40.1 S13 48.0 | 282 57.1 S11 26.6 | 245 13.1 S21 14.2 | 202 45.9 S21 26.3
4 | 149 35.8 | 286 39.7 S13 48.8 | 297 58.1 S11 27.2 | 260 15.0 S21 14.2 | 217 48.1 S21 26.2
F 5 | 164 38.3 | 301 39.3 S13 49.6 | 312 59.1 S11 27.7 | 275 16.9 S21 14.3 | 232 50.2 S21 26.2
R
I 6 | 179 40.7 | 316 38.9 S13 50.4 | 328 00.2 S11 28.2 | 290 18.8 S21 14.4 | 247 52.4 S21 26.2
D 7 | 194 43.2 | 331 38.6 S13 51.2 | 343 01.2 S11 28.7 | 305 20.7 S21 14.5 | 262 54.6 S21 26.1
A 8 | 209 45.7 | 346 38.2 S13 52.0 | 358 02.2 S11 29.2 | 320 22.6 S21 14.6 | 277 56.7 S21 26.1
Y 9 | 224 48.1 | 1 37.8 S13 52.8 | 13 03.3 S11 29.7 | 335 24.5 S21 14.6 | 292 58.9 S21 26.1
10 | 239 50.6 | 16 37.4 S13 53.6 | 28 04.3 S11 30.2 | 350 26.4 S21 14.7 | 308 01.0 S21 26.0
11 | 254 53.1 | 31 37.1 S13 54.5 | 43 05.3 S11 30.7 | 5 28.2 S21 14.8 | 323 03.2 S21 26.0
12 | 269 55.5 | 46 36.7 S13 55.3 | 58 06.3 S11 31.2 | 20 30.1 S21 14.9 | 338 05.4 S21 25.9
13 | 284 58.0 | 61 36.3 S13 56.1 | 73 07.4 S11 31.7 | 35 32.0 S21 14.9 | 353 07.5 S21 25.9
14 | 300 00.4 | 76 35.9 S13 56.9 | 88 08.4 S11 32.2 | 50 33.9 S21 15.0 | 8 09.7 S21 25.9
15 | 315 02.9 | 91 35.6 S13 57.7 | 103 09.4 S11 32.7 | 65 35.8 S21 15.1 | 23 11.9 S21 25.8
16 | 330 05.4 | 106 35.2 S13 58.5 | 118 10.5 S11 33.3 | 80 37.7 S21 15.2 | 38 14.0 S21 25.8
17 | 345 07.8 | 121 34.8 S13 59.3 | 133 11.5 S11 33.8 | 95 39.6 S21 15.2 | 53 16.2 S21 25.8
18 | 0 10.3 | 136 34.4 S14 00.1 | 148 12.5 S11 34.3 | 110 41.5 S21 15.3 | 68 18.3 S21 25.7
19 | 15 12.8 | 151 34.0 S14 00.9 | 163 13.5 S11 34.8 | 125 43.4 S21 15.4 | 83 20.5 S21 25.7
20 | 30 15.2 | 166 33.6 S14 01.7 | 178 14.6 S11 35.3 | 140 45.3 S21 15.5 | 98 22.7 S21 25.6
21 | 45 17.7 | 181 33.3 S14 02.5 | 193 15.6 S11 35.8 | 155 47.2 S21 15.5 | 113 24.8 S21 25.6
22 | 60 20.2 | 196 32.9 S14 03.3 | 208 16.6 S11 36.3 | 170 49.1 S21 15.6 | 128 27.0 S21 25.6
23 | 75 22.6 | 211 32.5 S14 04.1 | 223 17.7 S11 36.8 | 185 51.0 S21 15.7 | 143 29.2 S21 25.5
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| v -0.4 d 0.8 | v 1.0 d 0.5 | v 1.9 d 0.1 | v 2.2 d 0.0
2931 DEC. 19, 20, 21 (WED, THU, FRI)
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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 15.6 S23 16.3 | 324 29.7 8.1 N21 48.7 4.3 57.2 | Acamar 306 31.0 S36 37.1
1 | 196 15.3 S23 16.4 | 338 56.8 8.1 N21 44.3 4.4 57.2 | Achernar 326 49.9 S52 32.6
2 | 211 15.0 S23 16.5 | 353 23.9 8.1 N21 39.8 4.5 57.2 | Acrux 160 12.2 S68 13.7
3 | 226 14.7 S23 16.5 | 7 51.0 8.1 N21 35.1 4.7 57.2 | Adhara 246 05.9 S30 16.4
4 | 241 14.4 S23 16.6 | 22 18.1 8.1 N21 30.3 4.8 57.3 | Albireo 57 51.1 N29 56.8
W 5 | 256 14.1 S23 16.6 | 36 45.3 8.2 N21 25.4 4.9 57.3 |
E | | | Aldebaran 277 34.0 N18 19.3
D 6 | 271 13.9 S23 16.7 | 51 12.4 8.2 N21 20.4 5.0 57.3 | Alioth 156 13.1 N50 55.8
N 7 | 286 13.6 S23 16.8 | 65 39.6 8.2 N21 15.2 5.2 57.3 | Alkaid 143 52.7 N44 41.8
E 8 | 301 13.3 S23 16.8 | 80 06.8 8.2 N21 09.9 5.3 57.3 | Al Na-ir 13 17.3 S42 26.7
S 9 | 316 13.0 S23 16.9 | 94 34.1 8.2 N21 04.5 5.4 57.4 | Alnilam 264 02.7 S 0 39.6
D 10 | 331 12.7 S23 16.9 | 109 01.3 8.3 N20 59.0 5.5 57.4 |
A 11 | 346 12.4 S23 17.0 | 123 28.6 8.3 N20 53.3 5.7 57.4 | Alphard 206 35.0 S12 42.7
Y | | | Alphecca 116 23.4 N23 37.5
12 | 1 12.1 S23 17.1 | 137 55.9 8.3 N20 47.6 5.8 57.4 | Alpheratz 345 45.5 N34 12.9
13 | 16 11.8 S23 17.1 | 152 23.2 8.3 N20 41.7 5.9 57.4 | Altair 50 52.7 N11 21.8
14 | 31 11.5 S23 17.2 | 166 50.6 8.3 N20 35.6 6.0 57.5 | Ankaa 341 53.0 S37 16.8
15 | 46 11.2 S23 17.2 | 181 17.9 8.4 N20 29.5 6.1 57.5 |
16 | 61 10.9 S23 17.3 | 195 45.3 8.4 N20 23.2 6.3 57.5 | Antares 98 17.2 S28 26.1
17 | 76 10.6 S23 17.3 | 210 12.8 8.4 N20 16.8 6.4 57.5 | Arcturus 135 23.2 N14 22.4
| | | Atria 83 01.5 S70 38.0
18 | 91 10.3 S23 17.4 | 224 40.2 8.5 N20 10.3 6.5 57.5 | Avior 229 29.9 S62 30.6
19 | 106 10.0 S23 17.4 | 239 07.7 8.5 N20 03.7 6.6 57.5 | Bellatrix 266 08.6 N 7 08.1
20 | 121 09.7 S23 17.5 | 253 35.2 8.5 N19 56.9 6.7 57.6 |
21 | 136 09.5 S23 17.5 | 268 02.8 8.5 N19 50.1 6.9 57.6 | Betelgeuse 258 31.1 N 7 31.5
22 | 151 09.2 S23 17.6 | 282 30.3 8.6 N19 43.1 7.0 57.6 | Canopus 258 43.7 S53 13.6
23 | 166 08.9 S23 17.6 | 296 57.9 8.6 N19 36.0 7.1 57.6 | Capella 263 32.2 N46 52.2
------+-------------------+----------------------------------| Castor 231 26.7 N29 47.8
20 0 | 181 08.6 S23 17.7 | 311 25.6 8.6 N19 28.8 7.2 57.6 | Deneb 41 37.1 N48 37.5
1 | 196 08.3 S23 17.7 | 325 53.2 8.7 N19 21.5 7.3 57.7 |
2 | 211 08.0 S23 17.8 | 340 20.9 8.7 N19 14.0 7.4 57.7 | Denebola 170 47.9 N 9 22.9
3 | 226 07.7 S23 17.8 | 354 48.7 8.7 N19 06.5 7.6 57.7 | Diphda 337 21.0 S12 54.3
4 | 241 07.4 S23 17.9 | 9 16.5 8.8 N18 58.8 7.7 57.7 | Dubhe 179 46.3 N56 43.1
T 5 | 256 07.1 S23 17.9 | 23 44.3 8.8 N18 51.0 7.8 57.7 | Elnath 263 37.5 N29 19.6
H | | | Eltanin 85 20.9 N51 24.2
U 6 | 271 06.8 S23 17.9 | 38 12.1 8.8 N18 43.1 7.9 57.8 |
R 7 | 286 06.5 S23 18.0 | 52 40.0 8.9 N18 35.1 8.0 57.8 | Enif 22 26.8 N14 09.4
S 8 | 301 06.2 S23 18.0 | 67 07.9 8.9 N18 27.0 8.1 57.8 | Fomalhaut 2 41.4 S24 41.6
D 9 | 316 05.9 S23 18.1 | 81 35.8 8.9 N18 18.8 8.2 57.8 | Gacrux 159 07.5 S62 17.8
A 10 | 331 05.6 S23 18.1 | 96 03.8 9.0 N18 10.5 8.3 57.8 | Gienah 163 58.7 S22 41.3
Y 11 | 346 05.3 S23 18.2 | 110 31.8 9.0 N18 02.0 8.4 57.8 | Hadar 132 24.6 S64 48.6
| | |
12 | 1 05.0 S23 18.2 | 124 59.8 9.0 N17 53.5 8.5 57.9 | Hamal 314 58.2 N27 49.3
13 | 16 04.7 S23 18.2 | 139 27.9 9.1 N17 44.8 8.6 57.9 | Kaus Austr. 68 27.3 S33 53.1
14 | 31 04.5 S23 18.3 | 153 56.0 9.1 N17 36.1 8.8 57.9 | Kochab 137 43.3 N70 21.4
15 | 46 04.2 S23 18.3 | 168 24.2 9.2 N17 27.2 8.9 57.9 | Markab 2 07.6 N20 12.6
16 | 61 03.9 S23 18.3 | 182 52.4 9.2 N17 18.3 9.0 57.9 | Menkar 302 09.8 N 7 41.5
17 | 76 03.6 S23 18.4 | 197 20.6 9.2 N17 09.2 9.1 58.0 |
| | | Menkent 134 30.4 S40 54.2
18 | 91 03.3 S23 18.4 | 211 48.9 9.3 N17 00.0 9.2 58.0 | Miaplacidus 219 05.1 S73 32.6
19 | 106 03.0 S23 18.4 | 226 17.2 9.3 N16 50.8 9.3 58.0 | Mirfak 292 08.6 N53 06.6
20 | 121 02.7 S23 18.5 | 240 45.5 9.3 N16 41.4 9.4 58.0 | Nunki 61 42.1 S25 05.2
21 | 136 02.4 S23 18.5 | 255 13.9 9.4 N16 32.0 9.5 58.0 | Peacock 35 14.0 S53 42.2
22 | 151 02.1 S23 18.5 | 269 42.3 9.4 N16 22.4 9.6 58.1 |
23 | 166 01.8 S23 18.6 | 284 10.8 9.5 N16 12.8 9.7 58.1 | Polaris 87 15.4 N93 25.8
------+-------------------+----------------------------------| Pollux 229 22.7 N25 43.7
21 0 | 181 01.5 S23 18.6 | 298 39.3 9.5 N16 03.0 9.7 58.1 | Procyon 232 55.2 N 2 47.8
1 | 196 01.2 S23 18.6 | 313 07.8 9.5 N15 53.2 9.8 58.1 | Rasalhague 85 22.9 N11 55.9
2 | 211 00.9 S23 18.6 | 327 36.3 9.6 N15 43.2 9.9 58.1 | Regulus 195 27.1 N 7 24.4
3 | 226 00.6 S23 18.7 | 342 04.9 9.6 N15 33.2 10.0 58.1 |
4 | 241 00.3 S23 18.7 | 356 33.6 9.6 N15 23.1 10.1 58.2 | Rigel 270 05.2 S 7 10.7
F 5 | 256 00.0 S23 18.7 | 11 02.3 9.7 N15 12.9 10.2 58.2 | Rigil Kent 124 06.6 S64 37.2
R | | | Sabik 88 58.7 S16 49.1
I 6 | 270 59.7 S23 18.7 | 25 31.0 9.7 N15 02.6 10.3 58.2 | Schedar 336 28.8 N61 37.2
D 7 | 285 59.4 S23 18.8 | 39 59.7 9.7 N14 52.2 10.4 58.2 | Shaula 80 43.3 S37 42.9
A 8 | 300 59.1 S23 18.8 | 54 28.5 9.8 N14 41.7 10.5 58.2 |
Y 9 | 315 58.8 S23 18.8 | 68 57.3 9.8 N14 31.1 10.6 58.2 | Sirius 248 22.3 S18 02.0
10 | 330 58.5 S23 18.8 | 83 26.2 9.9 N14 20.5 10.6 58.3 | Spica 146 20.6 S15 59.0
11 | 345 58.2 S23 18.8 | 97 55.0 9.9 N14 09.8 10.7 58.3 | Suhail 214 20.0 S47 12.1
| | | Vega 72 48.0 N39 40.9
12 | 0 57.9 S23 18.9 | 112 24.0 9.9 N13 58.9 10.8 58.3 | Zuben-ubi 124 41.5 S19 51.6
13 | 15 57.7 S23 18.9 | 126 52.9 10.0 N13 48.0 10.9 58.3 |
14 | 30 57.4 S23 18.9 | 141 21.9 10.0 N13 37.1 11.0 58.3 |
15 | 45 57.1 S23 18.9 | 155 50.9 10.0 N13 26.0 11.1 58.4 |
16 | 60 56.8 S23 18.9 | 170 20.0 10.1 N13 14.9 11.1 58.4 |
17 | 75 56.5 S23 18.9 | 184 49.1 10.1 N13 03.6 11.2 58.4 |
| | |
18 | 90 56.2 S23 19.0 | 199 18.2 10.1 N12 52.4 11.3 58.4 |
19 | 105 55.9 S23 19.0 | 213 47.4 10.2 N12 41.0 11.4 58.4 |
20 | 120 55.6 S23 19.0 | 228 16.6 10.2 N12 29.5 11.4 58.4 |
21 | 135 55.3 S23 19.0 | 242 45.8 10.2 N12 18.0 11.5 58.5 |
22 | 150 55.0 S23 19.0 | 257 15.0 10.3 N12 06.4 11.6 58.5 |
23 | 165 54.7 S23 19.0 | 271 44.3 10.3 N11 54.8 11.7 58.5 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 15.6 15.8 15.9 |
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