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2971 DEC. 20, 21, 22 (FRI, SAT, SUN)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 88 45.5 | 225 01.7 S14 09.7 | 178 25.6 S23 57.0 | 75 25.4 N 4 13.1 | 36 10.7 N16 23.5
1 | 103 48.0 | 240 01.2 S14 10.5 | 193 26.1 S23 57.0 | 90 27.8 N 4 13.1 | 51 13.4 N16 23.5
2 | 118 50.5 | 255 00.8 S14 11.3 | 208 26.5 S23 57.0 | 105 30.1 N 4 13.2 | 66 16.0 N16 23.5
3 | 133 52.9 | 270 00.4 S14 12.1 | 223 27.0 S23 57.1 | 120 32.5 N 4 13.2 | 81 18.6 N16 23.5
4 | 148 55.4 | 284 59.9 S14 13.0 | 238 27.5 S23 57.1 | 135 34.9 N 4 13.3 | 96 21.2 N16 23.4
F 5 | 163 57.9 | 299 59.5 S14 13.8 | 253 27.9 S23 57.1 | 150 37.3 N 4 13.3 | 111 23.8 N16 23.4
R
I 6 | 179 00.3 | 314 59.0 S14 14.6 | 268 28.4 S23 57.1 | 165 39.7 N 4 13.4 | 126 26.4 N16 23.4
D 7 | 194 02.8 | 329 58.6 S14 15.4 | 283 28.8 S23 57.1 | 180 42.0 N 4 13.4 | 141 29.1 N16 23.4
A 8 | 209 05.2 | 344 58.2 S14 16.3 | 298 29.3 S23 57.1 | 195 44.4 N 4 13.5 | 156 31.7 N16 23.3
Y 9 | 224 07.7 | 359 57.7 S14 17.1 | 313 29.8 S23 57.2 | 210 46.8 N 4 13.5 | 171 34.3 N16 23.3
10 | 239 10.2 | 14 57.3 S14 17.9 | 328 30.2 S23 57.2 | 225 49.2 N 4 13.6 | 186 36.9 N16 23.3
11 | 254 12.6 | 29 56.9 S14 18.7 | 343 30.7 S23 57.2 | 240 51.5 N 4 13.6 | 201 39.5 N16 23.2
12 | 269 15.1 | 44 56.4 S14 19.5 | 358 31.2 S23 57.2 | 255 53.9 N 4 13.7 | 216 42.1 N16 23.2
13 | 284 17.6 | 59 56.0 S14 20.4 | 13 31.6 S23 57.2 | 270 56.3 N 4 13.7 | 231 44.7 N16 23.2
14 | 299 20.0 | 74 55.5 S14 21.2 | 28 32.1 S23 57.2 | 285 58.7 N 4 13.8 | 246 47.4 N16 23.2
15 | 314 22.5 | 89 55.1 S14 22.0 | 43 32.6 S23 57.2 | 301 01.0 N 4 13.8 | 261 50.0 N16 23.1
16 | 329 25.0 | 104 54.6 S14 22.8 | 58 33.0 S23 57.2 | 316 03.4 N 4 13.9 | 276 52.6 N16 23.1
17 | 344 27.4 | 119 54.2 S14 23.7 | 73 33.5 S23 57.2 | 331 05.8 N 4 13.9 | 291 55.2 N16 23.1
18 | 359 29.9 | 134 53.8 S14 24.5 | 88 34.0 S23 57.2 | 346 08.2 N 4 14.0 | 306 57.8 N16 23.1
19 | 14 32.3 | 149 53.3 S14 25.3 | 103 34.4 S23 57.3 | 1 10.5 N 4 14.0 | 322 00.4 N16 23.0
20 | 29 34.8 | 164 52.9 S14 26.1 | 118 34.9 S23 57.3 | 16 12.9 N 4 14.1 | 337 03.0 N16 23.0
21 | 44 37.3 | 179 52.4 S14 26.9 | 133 35.3 S23 57.3 | 31 15.3 N 4 14.1 | 352 05.7 N16 23.0
22 | 59 39.7 | 194 52.0 S14 27.7 | 148 35.8 S23 57.3 | 46 17.6 N 4 14.2 | 7 08.3 N16 23.0
23 | 74 42.2 | 209 51.5 S14 28.6 | 163 36.3 S23 57.3 | 61 20.0 N 4 14.2 | 22 10.9 N16 22.9
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 44.7 | 224 51.1 S14 29.4 | 178 36.7 S23 57.3 | 76 22.4 N 4 14.3 | 37 13.5 N16 22.9
1 | 104 47.1 | 239 50.6 S14 30.2 | 193 37.2 S23 57.3 | 91 24.8 N 4 14.3 | 52 16.1 N16 22.9
2 | 119 49.6 | 254 50.2 S14 31.0 | 208 37.7 S23 57.3 | 106 27.1 N 4 14.4 | 67 18.7 N16 22.8
3 | 134 52.1 | 269 49.7 S14 31.8 | 223 38.1 S23 57.3 | 121 29.5 N 4 14.4 | 82 21.3 N16 22.8
4 | 149 54.5 | 284 49.3 S14 32.6 | 238 38.6 S23 57.3 | 136 31.9 N 4 14.5 | 97 24.0 N16 22.8
S 5 | 164 57.0 | 299 48.8 S14 33.5 | 253 39.0 S23 57.3 | 151 34.2 N 4 14.5 | 112 26.6 N16 22.8
A
T 6 | 179 59.5 | 314 48.4 S14 34.3 | 268 39.5 S23 57.3 | 166 36.6 N 4 14.6 | 127 29.2 N16 22.7
U 7 | 195 01.9 | 329 47.9 S14 35.1 | 283 40.0 S23 57.3 | 181 39.0 N 4 14.6 | 142 31.8 N16 22.7
R 8 | 210 04.4 | 344 47.5 S14 35.9 | 298 40.4 S23 57.3 | 196 41.4 N 4 14.7 | 157 34.4 N16 22.7
D 9 | 225 06.8 | 359 47.0 S14 36.7 | 313 40.9 S23 57.3 | 211 43.7 N 4 14.7 | 172 37.0 N16 22.7
A 10 | 240 09.3 | 14 46.6 S14 37.5 | 328 41.4 S23 57.3 | 226 46.1 N 4 14.8 | 187 39.6 N16 22.6
Y 11 | 255 11.8 | 29 46.1 S14 38.3 | 343 41.8 S23 57.3 | 241 48.5 N 4 14.8 | 202 42.2 N16 22.6
12 | 270 14.2 | 44 45.7 S14 39.1 | 358 42.3 S23 57.3 | 256 50.8 N 4 14.9 | 217 44.9 N16 22.6
13 | 285 16.7 | 59 45.2 S14 39.9 | 13 42.7 S23 57.3 | 271 53.2 N 4 14.9 | 232 47.5 N16 22.6
14 | 300 19.2 | 74 44.7 S14 40.8 | 28 43.2 S23 57.3 | 286 55.6 N 4 15.0 | 247 50.1 N16 22.5
15 | 315 21.6 | 89 44.3 S14 41.6 | 43 43.7 S23 57.3 | 301 57.9 N 4 15.0 | 262 52.7 N16 22.5
16 | 330 24.1 | 104 43.8 S14 42.4 | 58 44.1 S23 57.3 | 317 00.3 N 4 15.1 | 277 55.3 N16 22.5
17 | 345 26.6 | 119 43.4 S14 43.2 | 73 44.6 S23 57.3 | 332 02.7 N 4 15.1 | 292 57.9 N16 22.5
18 | 0 29.0 | 134 42.9 S14 44.0 | 88 45.1 S23 57.3 | 347 05.0 N 4 15.2 | 308 00.5 N16 22.4
19 | 15 31.5 | 149 42.5 S14 44.8 | 103 45.5 S23 57.3 | 2 07.4 N 4 15.3 | 323 03.1 N16 22.4
20 | 30 34.0 | 164 42.0 S14 45.6 | 118 46.0 S23 57.3 | 17 09.8 N 4 15.3 | 338 05.7 N16 22.4
21 | 45 36.4 | 179 41.5 S14 46.4 | 133 46.4 S23 57.3 | 32 12.1 N 4 15.4 | 353 08.4 N16 22.3
22 | 60 38.9 | 194 41.1 S14 47.2 | 148 46.9 S23 57.3 | 47 14.5 N 4 15.4 | 8 11.0 N16 22.3
23 | 75 41.3 | 209 40.6 S14 48.0 | 163 47.4 S23 57.3 | 62 16.8 N 4 15.5 | 23 13.6 N16 22.3
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 90 43.8 | 224 40.2 S14 48.8 | 178 47.8 S23 57.3 | 77 19.2 N 4 15.5 | 38 16.2 N16 22.3
1 | 105 46.3 | 239 39.7 S14 49.6 | 193 48.3 S23 57.3 | 92 21.6 N 4 15.6 | 53 18.8 N16 22.2
2 | 120 48.7 | 254 39.2 S14 50.4 | 208 48.7 S23 57.3 | 107 23.9 N 4 15.6 | 68 21.4 N16 22.2
3 | 135 51.2 | 269 38.8 S14 51.2 | 223 49.2 S23 57.3 | 122 26.3 N 4 15.7 | 83 24.0 N16 22.2
4 | 150 53.7 | 284 38.3 S14 52.1 | 238 49.7 S23 57.3 | 137 28.7 N 4 15.7 | 98 26.6 N16 22.2
S 5 | 165 56.1 | 299 37.8 S14 52.9 | 253 50.1 S23 57.3 | 152 31.0 N 4 15.8 | 113 29.2 N16 22.1
U
N 6 | 180 58.6 | 314 37.4 S14 53.7 | 268 50.6 S23 57.3 | 167 33.4 N 4 15.9 | 128 31.8 N16 22.1
D 7 | 196 01.1 | 329 36.9 S14 54.5 | 283 51.0 S23 57.3 | 182 35.8 N 4 15.9 | 143 34.5 N16 22.1
A 8 | 211 03.5 | 344 36.5 S14 55.3 | 298 51.5 S23 57.3 | 197 38.1 N 4 16.0 | 158 37.1 N16 22.1
Y 9 | 226 06.0 | 359 36.0 S14 56.1 | 313 52.0 S23 57.3 | 212 40.5 N 4 16.0 | 173 39.7 N16 22.0
10 | 241 08.5 | 14 35.5 S14 56.9 | 328 52.4 S23 57.3 | 227 42.8 N 4 16.1 | 188 42.3 N16 22.0
11 | 256 10.9 | 29 35.1 S14 57.7 | 343 52.9 S23 57.3 | 242 45.2 N 4 16.1 | 203 44.9 N16 22.0
12 | 271 13.4 | 44 34.6 S14 58.5 | 358 53.3 S23 57.3 | 257 47.6 N 4 16.2 | 218 47.5 N16 22.0
13 | 286 15.8 | 59 34.1 S14 59.3 | 13 53.8 S23 57.2 | 272 49.9 N 4 16.2 | 233 50.1 N16 21.9
14 | 301 18.3 | 74 33.6 S15 00.1 | 28 54.3 S23 57.2 | 287 52.3 N 4 16.3 | 248 52.7 N16 21.9
15 | 316 20.8 | 89 33.2 S15 00.9 | 43 54.7 S23 57.2 | 302 54.6 N 4 16.4 | 263 55.3 N16 21.9
16 | 331 23.2 | 104 32.7 S15 01.7 | 58 55.2 S23 57.2 | 317 57.0 N 4 16.4 | 278 57.9 N16 21.9
17 | 346 25.7 | 119 32.2 S15 02.5 | 73 55.6 S23 57.2 | 332 59.4 N 4 16.5 | 294 00.5 N16 21.8
18 | 1 28.2 | 134 31.8 S15 03.3 | 88 56.1 S23 57.2 | 348 01.7 N 4 16.5 | 309 03.1 N16 21.8
19 | 16 30.6 | 149 31.3 S15 04.0 | 103 56.6 S23 57.2 | 3 04.1 N 4 16.6 | 324 05.8 N16 21.8
20 | 31 33.1 | 164 30.8 S15 04.8 | 118 57.0 S23 57.2 | 18 06.4 N 4 16.6 | 339 08.4 N16 21.8
21 | 46 35.6 | 179 30.4 S15 05.6 | 133 57.5 S23 57.2 | 33 08.8 N 4 16.7 | 354 11.0 N16 21.7
22 | 61 38.0 | 194 29.9 S15 06.4 | 148 57.9 S23 57.1 | 48 11.1 N 4 16.8 | 9 13.6 N16 21.7
23 | 76 40.5 | 209 29.4 S15 07.2 | 163 58.4 S23 57.1 | 63 13.5 N 4 16.8 | 24 16.2 N16 21.7
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.5 d 0.8 | v 0.5 d 0.0 | v 2.4 d 0.1 | v 2.6 d 0.0
2971 DEC. 20, 21, 22 (FRI, SAT, SUN)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 181 07.4 S23 17.8 | 45 38.3 8.2 N16 10.0 13.7 60.2 | Acamar 306 07.7 S36 27.5
1 | 196 07.1 S23 17.9 | 60 05.4 8.1 N16 23.7 13.6 60.2 | Achernar 326 27.0 S52 20.5
2 | 211 06.8 S23 17.9 | 74 32.4 8.0 N16 37.2 13.6 60.2 | Acrux 159 38.3 S68 27.0
3 | 226 06.5 S23 18.0 | 88 59.3 7.9 N16 50.7 13.5 60.2 | Adhara 245 41.9 S30 19.6
4 | 241 06.2 S23 18.0 | 103 26.0 7.8 N17 04.1 13.4 60.2 | Albireo 57 26.4 N30 01.8
F 5 | 256 05.9 S23 18.0 | 117 52.8 7.7 N17 17.3 13.3 60.2 |
R | | | Aldebaran 276 59.1 N18 24.0
I 6 | 271 05.6 S23 18.1 | 132 19.4 7.6 N17 30.5 13.2 60.2 | Alioth 155 46.2 N50 42.8
D 7 | 286 05.3 S23 18.1 | 146 45.9 7.5 N17 43.5 13.0 60.2 | Alkaid 143 28.5 N44 29.9
A 8 | 301 05.0 S23 18.1 | 161 12.3 7.4 N17 56.5 12.9 60.2 | Al Na-ir 12 39.2 S42 15.1
Y 9 | 316 04.7 S23 18.2 | 175 38.6 7.3 N18 09.3 12.8 60.2 | Alnilam 263 31.8 S 0 38.1
10 | 331 04.4 S23 18.2 | 190 04.9 7.2 N18 22.0 12.7 60.2 |
11 | 346 04.1 S23 18.2 | 204 31.0 7.1 N18 34.6 12.6 60.2 | Alphard 206 05.1 S12 53.0
| | | Alphecca 115 57.4 N23 29.4
12 | 1 03.8 S23 18.3 | 218 57.1 7.1 N18 47.1 12.5 60.2 | Alpheratz 345 14.0 N34 26.1
13 | 16 03.5 S23 18.3 | 233 23.0 7.0 N18 59.5 12.4 60.2 | Altair 50 23.0 N11 28.1
14 | 31 03.2 S23 18.3 | 247 48.9 6.9 N19 11.7 12.3 60.2 | Ankaa 341 22.9 S37 03.8
15 | 46 02.9 S23 18.4 | 262 14.7 6.8 N19 23.9 12.1 60.2 |
16 | 61 02.7 S23 18.4 | 276 40.3 6.7 N19 35.9 12.0 60.2 | Antares 97 39.9 S28 31.3
17 | 76 02.4 S23 18.4 | 291 05.9 6.6 N19 47.8 11.9 60.2 | Arcturus 134 55.3 N14 09.9
| | | Atria 81 57.5 S70 42.2
18 | 91 02.1 S23 18.4 | 305 31.4 6.5 N19 59.5 11.8 60.2 | Avior 229 17.2 S62 38.3
19 | 106 01.8 S23 18.5 | 319 56.8 6.4 N20 11.2 11.6 60.2 | Bellatrix 265 35.9 N 7 10.3
20 | 121 01.5 S23 18.5 | 334 22.1 6.3 N20 22.7 11.5 60.2 |
21 | 136 01.2 S23 18.5 | 348 47.3 6.2 N20 34.0 11.4 60.2 | Betelgeuse 257 58.2 N 7 32.0
22 | 151 00.9 S23 18.5 | 3 12.4 6.1 N20 45.3 11.2 60.2 | Canopus 258 29.9 S53 14.8
23 | 166 00.6 S23 18.6 | 17 37.5 6.0 N20 56.4 11.1 60.2 | Capella 262 47.4 N46 54.5
------+-------------------+----------------------------------| Castor 230 48.0 N29 42.6
21 0 | 181 00.3 S23 18.6 | 32 02.4 5.9 N21 07.3 11.0 60.2 | Deneb 41 16.3 N48 46.0
1 | 196 00.0 S23 18.6 | 46 27.3 5.8 N21 18.2 10.8 60.2 |
2 | 210 59.7 S23 18.6 | 60 52.0 5.8 N21 28.9 10.7 60.2 | Denebola 170 16.9 N 9 09.5
3 | 225 59.4 S23 18.7 | 75 16.7 5.7 N21 39.4 10.5 60.2 | Diphda 336 50.4 S12 41.2
4 | 240 59.1 S23 18.7 | 89 41.3 5.6 N21 49.8 10.4 60.2 | Dubhe 179 09.0 N56 30.2
S 5 | 255 58.8 S23 18.7 | 104 05.8 5.5 N22 00.1 10.3 60.2 | Elnath 262 59.1 N29 21.6
A | | | Eltanin 85 06.5 N51 23.8
T 6 | 270 58.5 S23 18.7 | 118 30.2 5.4 N22 10.2 10.1 60.2 |
U 7 | 285 58.2 S23 18.7 | 132 54.5 5.3 N22 20.1 10.0 60.2 | Enif 21 56.9 N14 20.4
R 8 | 300 57.9 S23 18.7 | 147 18.7 5.2 N22 29.9 9.8 60.1 | Fomalhaut 2 07.9 S24 29.0
D 9 | 315 57.6 S23 18.8 | 161 42.9 5.2 N22 39.6 9.7 60.1 | Gacrux 158 33.7 S62 31.1
A 10 | 330 57.4 S23 18.8 | 176 06.9 5.1 N22 49.1 9.5 60.1 | Gienah 163 27.4 S22 54.6
Y 11 | 345 57.1 S23 18.8 | 190 30.9 5.0 N22 58.4 9.3 60.1 | Hadar 131 41.7 S65 00.0
| | |
12 | 0 56.8 S23 18.8 | 204 54.8 4.9 N23 07.6 9.2 60.1 | Hamal 314 23.9 N28 00.6
13 | 15 56.5 S23 18.8 | 219 18.7 4.8 N23 16.7 9.0 60.1 | Kaus Austr. 67 47.1 S33 51.9
14 | 30 56.2 S23 18.8 | 233 42.4 4.8 N23 25.5 8.9 60.1 | Kochab 137 43.6 N70 11.5
15 | 45 55.9 S23 18.8 | 248 06.1 4.7 N23 34.2 8.7 60.1 | Markab 1 37.3 N20 25.5
16 | 60 55.6 S23 18.8 | 262 29.7 4.6 N23 42.8 8.5 60.1 | Menkar 301 37.9 N 7 50.8
17 | 75 55.3 S23 18.8 | 276 53.2 4.5 N23 51.2 8.4 60.1 |
| | | Menkent 133 54.6 S41 06.0
18 | 90 55.0 S23 18.9 | 291 16.7 4.5 N23 59.4 8.2 60.1 | Miaplacidus 218 58.3 S73 42.3
19 | 105 54.7 S23 18.9 | 305 40.1 4.4 N24 07.4 8.0 60.1 | Mirfak 291 25.3 N53 15.1
20 | 120 54.4 S23 18.9 | 320 03.4 4.3 N24 15.3 7.9 60.0 | Nunki 61 04.5 S25 02.2
21 | 135 54.1 S23 18.9 | 334 26.6 4.2 N24 23.0 7.7 60.0 | Peacock 34 26.3 S53 34.5
22 | 150 53.8 S23 18.9 | 348 49.8 4.2 N24 30.5 7.5 60.0 |
23 | 165 53.5 S23 18.9 | 3 12.9 4.1 N24 37.9 7.4 60.0 | Polaris 77 18.6 N93 36.6
------+-------------------+----------------------------------| Pollux 228 45.6 N25 37.9
22 0 | 180 53.2 S23 18.9 | 17 36.0 4.1 N24 45.1 7.2 60.0 | Procyon 232 23.4 N 2 41.7
1 | 195 52.9 S23 18.9 | 31 59.0 4.0 N24 52.1 7.0 60.0 | Rasalhague 84 54.6 N11 54.1
2 | 210 52.6 S23 18.9 | 46 21.9 3.9 N24 58.9 6.8 60.0 | Regulus 194 54.7 N 7 12.7
3 | 225 52.3 S23 18.9 | 60 44.8 3.9 N25 05.6 6.7 60.0 |
4 | 240 52.0 S23 18.9 | 75 07.7 3.8 N25 12.1 6.5 59.9 | Rigel 269 35.9 S 7 07.9
S 5 | 255 51.7 S23 18.9 | 89 30.4 3.8 N25 18.4 6.3 59.9 | Rigil Kent 123 25.3 S64 47.1
U | | | Sabik 88 23.9 S16 52.0
N 6 | 270 51.4 S23 18.9 | 103 53.2 3.7 N25 24.5 6.1 59.9 | Schedar 335 54.3 N61 50.3
D 7 | 285 51.1 S23 18.9 | 118 15.8 3.7 N25 30.4 5.9 59.9 | Shaula 80 02.1 S37 44.6
A 8 | 300 50.9 S23 18.9 | 132 38.5 3.6 N25 36.2 5.8 59.9 |
Y 9 | 315 50.6 S23 18.9 | 147 01.1 3.6 N25 41.8 5.6 59.9 | Sirius 247 55.4 S18 05.3
10 | 330 50.3 S23 18.9 | 161 23.6 3.6 N25 47.2 5.4 59.8 | Spica 145 48.5 S16 11.5
11 | 345 50.0 S23 18.9 | 175 46.2 3.5 N25 52.4 5.2 59.8 | Suhail 213 57.5 S47 21.7
| | | Vega 72 27.2 N39 43.1
12 | 0 49.7 S23 18.9 | 190 08.6 3.5 N25 57.4 5.0 59.8 | Zuben-ubi 124 08.9 S20 01.5
13 | 15 49.4 S23 18.9 | 204 31.1 3.4 N26 02.2 4.8 59.8 |
14 | 30 49.1 S23 18.8 | 218 53.5 3.4 N26 06.9 4.6 59.8 |
15 | 45 48.8 S23 18.8 | 233 15.9 3.4 N26 11.3 4.5 59.8 |
16 | 60 48.5 S23 18.8 | 247 38.3 3.4 N26 15.6 4.3 59.7 |
17 | 75 48.2 S23 18.8 | 262 00.6 3.3 N26 19.7 4.1 59.7 |
| | |
18 | 90 47.9 S23 18.8 | 276 22.9 3.3 N26 23.6 3.9 59.7 |
19 | 105 47.6 S23 18.8 | 290 45.2 3.3 N26 27.3 3.7 59.7 |
20 | 120 47.3 S23 18.8 | 305 07.5 3.3 N26 30.8 3.5 59.7 |
21 | 135 47.0 S23 18.8 | 319 29.8 3.3 N26 34.1 3.3 59.6 |
22 | 150 46.7 S23 18.7 | 333 52.1 3.3 N26 37.2 3.1 59.6 |
23 | 165 46.4 S23 18.7 | 348 14.3 3.3 N26 40.2 2.9 59.6 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 16.4 16.4 16.3 |