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2431 DEC. 21, 22, 23 (SUN, MON, TUE)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
21 0 | 89 30.0 | 192 48.4 S22 21.7 | 206 43.3 S20 58.1 | 250 03.0 S 6 53.2 | 155 52.3 S21 28.6
1 | 104 32.4 | 207 47.5 S22 22.0 | 221 44.0 S20 58.5 | 265 05.2 S 6 53.3 | 170 54.5 S21 28.6
2 | 119 34.9 | 222 46.6 S22 22.4 | 236 44.6 S20 58.8 | 280 07.3 S 6 53.4 | 185 56.7 S21 28.6
3 | 134 37.4 | 237 45.6 S22 22.8 | 251 45.2 S20 59.1 | 295 09.4 S 6 53.6 | 200 58.8 S21 28.5
4 | 149 39.8 | 252 44.7 S22 23.2 | 266 45.9 S20 59.5 | 310 11.6 S 6 53.7 | 216 01.0 S21 28.5
S 5 | 164 42.3 | 267 43.8 S22 23.6 | 281 46.5 S20 59.8 | 325 13.7 S 6 53.8 | 231 03.2 S21 28.4
U
N 6 | 179 44.7 | 282 42.9 S22 24.0 | 296 47.2 S21 00.2 | 340 15.9 S 6 53.9 | 246 05.3 S21 28.4
D 7 | 194 47.2 | 297 42.0 S22 24.3 | 311 47.8 S21 00.5 | 355 18.0 S 6 54.0 | 261 07.5 S21 28.4
A 8 | 209 49.7 | 312 41.1 S22 24.7 | 326 48.5 S21 00.8 | 10 20.2 S 6 54.1 | 276 09.7 S21 28.3
Y 9 | 224 52.1 | 327 40.2 S22 25.1 | 341 49.1 S21 01.2 | 25 22.3 S 6 54.3 | 291 11.8 S21 28.3
10 | 239 54.6 | 342 39.3 S22 25.5 | 356 49.8 S21 01.5 | 40 24.5 S 6 54.4 | 306 14.0 S21 28.2
11 | 254 57.1 | 357 38.3 S22 25.8 | 11 50.4 S21 01.8 | 55 26.6 S 6 54.5 | 321 16.2 S21 28.2
12 | 269 59.5 | 12 37.4 S22 26.2 | 26 51.0 S21 02.2 | 70 28.8 S 6 54.6 | 336 18.3 S21 28.1
13 | 285 02.0 | 27 36.5 S22 26.6 | 41 51.7 S21 02.5 | 85 30.9 S 6 54.7 | 351 20.5 S21 28.1
14 | 300 04.5 | 42 35.6 S22 26.9 | 56 52.3 S21 02.8 | 100 33.1 S 6 54.8 | 6 22.7 S21 28.1
15 | 315 06.9 | 57 34.7 S22 27.3 | 71 53.0 S21 03.2 | 115 35.2 S 6 55.0 | 21 24.8 S21 28.0
16 | 330 09.4 | 72 33.8 S22 27.7 | 86 53.6 S21 03.5 | 130 37.4 S 6 55.1 | 36 27.0 S21 28.0
17 | 345 11.8 | 87 32.9 S22 28.1 | 101 54.3 S21 03.9 | 145 39.5 S 6 55.2 | 51 29.2 S21 27.9
18 | 0 14.3 | 102 31.9 S22 28.4 | 116 54.9 S21 04.2 | 160 41.7 S 6 55.3 | 66 31.3 S21 27.9
19 | 15 16.8 | 117 31.0 S22 28.8 | 131 55.5 S21 04.5 | 175 43.8 S 6 55.4 | 81 33.5 S21 27.9
20 | 30 19.2 | 132 30.1 S22 29.1 | 146 56.2 S21 04.9 | 190 46.0 S 6 55.5 | 96 35.7 S21 27.8
21 | 45 21.7 | 147 29.2 S22 29.5 | 161 56.8 S21 05.2 | 205 48.1 S 6 55.7 | 111 37.8 S21 27.8
22 | 60 24.2 | 162 28.3 S22 29.9 | 176 57.5 S21 05.5 | 220 50.3 S 6 55.8 | 126 40.0 S21 27.7
23 | 75 26.6 | 177 27.4 S22 30.2 | 191 58.1 S21 05.9 | 235 52.5 S 6 55.9 | 141 42.2 S21 27.7
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 90 29.1 | 192 26.4 S22 30.6 | 206 58.8 S21 06.2 | 250 54.6 S 6 56.0 | 156 44.3 S21 27.6
1 | 105 31.6 | 207 25.5 S22 30.9 | 221 59.4 S21 06.5 | 265 56.8 S 6 56.1 | 171 46.5 S21 27.6
2 | 120 34.0 | 222 24.6 S22 31.3 | 237 00.0 S21 06.8 | 280 58.9 S 6 56.2 | 186 48.7 S21 27.6
3 | 135 36.5 | 237 23.7 S22 31.7 | 252 00.7 S21 07.2 | 296 01.1 S 6 56.4 | 201 50.8 S21 27.5
4 | 150 39.0 | 252 22.8 S22 32.0 | 267 01.3 S21 07.5 | 311 03.2 S 6 56.5 | 216 53.0 S21 27.5
M 5 | 165 41.4 | 267 21.9 S22 32.4 | 282 02.0 S21 07.8 | 326 05.4 S 6 56.6 | 231 55.2 S21 27.4
O
N 6 | 180 43.9 | 282 20.9 S22 32.7 | 297 02.6 S21 08.2 | 341 07.5 S 6 56.7 | 246 57.3 S21 27.4
D 7 | 195 46.3 | 297 20.0 S22 33.1 | 312 03.2 S21 08.5 | 356 09.7 S 6 56.8 | 261 59.5 S21 27.4
A 8 | 210 48.8 | 312 19.1 S22 33.4 | 327 03.9 S21 08.8 | 11 11.8 S 6 56.9 | 277 01.7 S21 27.3
Y 9 | 225 51.3 | 327 18.2 S22 33.8 | 342 04.5 S21 09.2 | 26 14.0 S 6 57.0 | 292 03.8 S21 27.3
10 | 240 53.7 | 342 17.3 S22 34.1 | 357 05.2 S21 09.5 | 41 16.1 S 6 57.2 | 307 06.0 S21 27.2
11 | 255 56.2 | 357 16.3 S22 34.4 | 12 05.8 S21 09.8 | 56 18.3 S 6 57.3 | 322 08.2 S21 27.2
12 | 270 58.7 | 12 15.4 S22 34.8 | 27 06.4 S21 10.1 | 71 20.5 S 6 57.4 | 337 10.3 S21 27.1
13 | 286 01.1 | 27 14.5 S22 35.1 | 42 07.1 S21 10.5 | 86 22.6 S 6 57.5 | 352 12.5 S21 27.1
14 | 301 03.6 | 42 13.6 S22 35.5 | 57 07.7 S21 10.8 | 101 24.8 S 6 57.6 | 7 14.7 S21 27.1
15 | 316 06.1 | 57 12.7 S22 35.8 | 72 08.4 S21 11.1 | 116 26.9 S 6 57.7 | 22 16.8 S21 27.0
16 | 331 08.5 | 72 11.7 S22 36.2 | 87 09.0 S21 11.5 | 131 29.1 S 6 57.8 | 37 19.0 S21 27.0
17 | 346 11.0 | 87 10.8 S22 36.5 | 102 09.6 S21 11.8 | 146 31.2 S 6 58.0 | 52 21.2 S21 26.9
18 | 1 13.5 | 102 09.9 S22 36.8 | 117 10.3 S21 12.1 | 161 33.4 S 6 58.1 | 67 23.3 S21 26.9
19 | 16 15.9 | 117 09.0 S22 37.2 | 132 10.9 S21 12.4 | 176 35.5 S 6 58.2 | 82 25.5 S21 26.9
20 | 31 18.4 | 132 08.0 S22 37.5 | 147 11.5 S21 12.8 | 191 37.7 S 6 58.3 | 97 27.7 S21 26.8
21 | 46 20.8 | 147 07.1 S22 37.8 | 162 12.2 S21 13.1 | 206 39.9 S 6 58.4 | 112 29.8 S21 26.8
22 | 61 23.3 | 162 06.2 S22 38.2 | 177 12.8 S21 13.4 | 221 42.0 S 6 58.5 | 127 32.0 S21 26.7
23 | 76 25.8 | 177 05.3 S22 38.5 | 192 13.4 S21 13.7 | 236 44.2 S 6 58.6 | 142 34.1 S21 26.7
------+----------+-------------------+-------------------+-------------------+--------------------
23 0 | 91 28.2 | 192 04.3 S22 38.8 | 207 14.1 S21 14.1 | 251 46.3 S 6 58.8 | 157 36.3 S21 26.6
1 | 106 30.7 | 207 03.4 S22 39.2 | 222 14.7 S21 14.4 | 266 48.5 S 6 58.9 | 172 38.5 S21 26.6
2 | 121 33.2 | 222 02.5 S22 39.5 | 237 15.4 S21 14.7 | 281 50.6 S 6 59.0 | 187 40.6 S21 26.6
3 | 136 35.6 | 237 01.6 S22 39.8 | 252 16.0 S21 15.0 | 296 52.8 S 6 59.1 | 202 42.8 S21 26.5
4 | 151 38.1 | 252 00.6 S22 40.1 | 267 16.6 S21 15.4 | 311 55.0 S 6 59.2 | 217 45.0 S21 26.5
T 5 | 166 40.6 | 266 59.7 S22 40.5 | 282 17.3 S21 15.7 | 326 57.1 S 6 59.3 | 232 47.1 S21 26.4
U
E 6 | 181 43.0 | 281 58.8 S22 40.8 | 297 17.9 S21 16.0 | 341 59.3 S 6 59.4 | 247 49.3 S21 26.4
S 7 | 196 45.5 | 296 57.9 S22 41.1 | 312 18.5 S21 16.3 | 357 01.4 S 6 59.6 | 262 51.5 S21 26.3
D 8 | 211 48.0 | 311 56.9 S22 41.4 | 327 19.2 S21 16.7 | 12 03.6 S 6 59.7 | 277 53.6 S21 26.3
A 9 | 226 50.4 | 326 56.0 S22 41.7 | 342 19.8 S21 17.0 | 27 05.8 S 6 59.8 | 292 55.8 S21 26.3
Y 10 | 241 52.9 | 341 55.1 S22 42.1 | 357 20.4 S21 17.3 | 42 07.9 S 6 59.9 | 307 58.0 S21 26.2
11 | 256 55.3 | 356 54.2 S22 42.4 | 12 21.1 S21 17.6 | 57 10.1 S 7 00.0 | 323 00.1 S21 26.2
12 | 271 57.8 | 11 53.2 S22 42.7 | 27 21.7 S21 17.9 | 72 12.2 S 7 00.1 | 338 02.3 S21 26.1
13 | 287 00.3 | 26 52.3 S22 43.0 | 42 22.3 S21 18.3 | 87 14.4 S 7 00.2 | 353 04.5 S21 26.1
14 | 302 02.7 | 41 51.4 S22 43.3 | 57 23.0 S21 18.6 | 102 16.6 S 7 00.3 | 8 06.6 S21 26.1
15 | 317 05.2 | 56 50.4 S22 43.6 | 72 23.6 S21 18.9 | 117 18.7 S 7 00.5 | 23 08.8 S21 26.0
16 | 332 07.7 | 71 49.5 S22 43.9 | 87 24.2 S21 19.2 | 132 20.9 S 7 00.6 | 38 10.9 S21 26.0
17 | 347 10.1 | 86 48.6 S22 44.3 | 102 24.9 S21 19.5 | 147 23.0 S 7 00.7 | 53 13.1 S21 25.9
18 | 2 12.6 | 101 47.7 S22 44.6 | 117 25.5 S21 19.9 | 162 25.2 S 7 00.8 | 68 15.3 S21 25.9
19 | 17 15.1 | 116 46.7 S22 44.9 | 132 26.1 S21 20.2 | 177 27.4 S 7 00.9 | 83 17.4 S21 25.8
20 | 32 17.5 | 131 45.8 S22 45.2 | 147 26.8 S21 20.5 | 192 29.5 S 7 01.0 | 98 19.6 S21 25.8
21 | 47 20.0 | 146 44.9 S22 45.5 | 162 27.4 S21 20.8 | 207 31.7 S 7 01.1 | 113 21.8 S21 25.8
22 | 62 22.4 | 161 43.9 S22 45.8 | 177 28.0 S21 21.1 | 222 33.8 S 7 01.2 | 128 23.9 S21 25.7
23 | 77 24.9 | 176 43.0 S22 46.1 | 192 28.7 S21 21.4 | 237 36.0 S 7 01.3 | 143 26.1 S21 25.7
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.9 d 0.3 | v 0.6 d 0.3 | v 2.2 d 0.1 | v 2.2 d 0.0
2431 DEC. 21, 22, 23 (SUN, MON, TUE)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
21 0 | 180 46.6 S23 22.8 | 336 53.4 5.8 N26 13.5 3.5 57.9 | Acamar 311 19.0 S38 35.6
1 | 195 46.3 S23 22.8 | 351 18.3 5.8 N26 09.9 3.7 57.9 | Achernar 331 32.2 S55 03.6
2 | 210 46.0 S23 22.8 | 5 43.2 5.9 N26 06.0 3.8 57.8 | Acrux 167 16.6 S65 28.7
3 | 225 45.7 S23 22.8 | 20 08.2 6.0 N26 02.0 4.0 57.8 | Adhara 251 04.5 S29 34.5
4 | 240 45.4 S23 22.8 | 34 33.3 6.1 N25 57.9 4.2 57.8 | Albireo 62 57.3 N28 52.9
S 5 | 255 45.1 S23 22.9 | 48 58.5 6.2 N25 53.5 4.3 57.7 |
U | | | Aldebaran 284 47.9 N17 21.2
N 6 | 270 44.8 S23 22.9 | 63 23.8 6.3 N25 49.1 4.5 57.7 | Alioth 161 44.9 N53 37.3
D 7 | 285 44.5 S23 22.9 | 77 49.1 6.4 N25 44.5 4.6 57.7 | Alkaid 148 51.2 N47 10.0
A 8 | 300 44.2 S23 22.9 | 92 14.6 6.5 N25 39.7 4.8 57.6 | Al Na-ir 21 10.0 S44 52.0
Y 9 | 315 43.9 S23 22.9 | 106 40.1 6.6 N25 34.8 4.9 57.6 | Alnilam 270 26.7 S 0 56.9
10 | 330 43.6 S23 22.9 | 121 05.8 6.6 N25 29.7 5.1 57.6 |
11 | 345 43.3 S23 23.0 | 135 31.5 6.7 N25 24.5 5.2 57.5 | Alphard 212 46.8 S10 32.4
| | | Alphecca 121 44.6 N25 16.7
12 | 0 43.0 S23 23.0 | 149 57.4 6.8 N25 19.1 5.4 57.5 | Alpheratz 352 17.6 N31 28.3
13 | 15 42.7 S23 23.0 | 164 23.3 6.9 N25 13.6 5.5 57.5 | Altair 57 01.8 N10 01.5
14 | 30 42.4 S23 23.0 | 178 49.4 7.0 N25 08.0 5.6 57.4 | Ankaa 348 05.6 S39 58.4
15 | 45 42.1 S23 23.0 | 193 15.5 7.1 N25 02.2 5.8 57.4 |
16 | 60 41.8 S23 23.0 | 207 41.7 7.2 N24 56.3 5.9 57.4 | Antares 106 00.6 S27 21.8
17 | 75 41.5 S23 23.0 | 222 08.1 7.3 N24 50.2 6.1 57.3 | Arcturus 141 08.8 N16 56.8
| | | Atria 96 21.1 S69 46.4
18 | 90 41.2 S23 23.0 | 236 34.5 7.4 N24 44.0 6.2 57.3 | Avior 232 08.0 S60 54.0
19 | 105 40.8 S23 23.0 | 251 01.1 7.6 N24 37.7 6.3 57.3 | Bellatrix 272 54.2 N 6 43.0
20 | 120 40.5 S23 23.0 | 265 27.7 7.7 N24 31.2 6.5 57.2 |
21 | 135 40.2 S23 23.0 | 279 54.5 7.8 N24 24.6 6.6 57.2 | Betelgeuse 265 20.4 N 7 27.8
22 | 150 39.9 S23 23.1 | 294 21.4 7.9 N24 17.8 6.7 57.2 | Canopus 261 34.9 S52 56.4
23 | 165 39.6 S23 23.1 | 308 48.3 8.0 N24 11.0 6.9 57.1 | Capella 272 49.3 N46 24.3
------+-------------------+----------------------------------| Castor 239 27.2 N30 55.1
22 0 | 180 39.3 S23 23.1 | 323 15.4 8.1 N24 04.0 7.0 57.1 | Deneb 45 57.0 N46 50.0
1 | 195 39.0 S23 23.1 | 337 42.6 8.2 N23 56.9 7.1 57.1 |
2 | 210 38.7 S23 23.1 | 352 09.9 8.3 N23 49.6 7.2 57.0 | Denebola 177 13.2 N12 09.6
3 | 225 38.4 S23 23.1 | 6 37.3 8.4 N23 42.2 7.4 57.0 | Diphda 343 40.4 S15 37.6
4 | 240 38.1 S23 23.1 | 21 04.8 8.5 N23 34.7 7.5 57.0 | Dubhe 187 27.2 N59 24.7
M 5 | 255 37.8 S23 23.1 | 35 32.5 8.6 N23 27.1 7.6 56.9 | Elnath 271 34.7 N28 56.6
O | | | Eltanin 88 19.7 N51 26.8
N 6 | 270 37.5 S23 23.1 | 50 00.2 8.7 N23 19.4 7.7 56.9 |
D 7 | 285 37.2 S23 23.1 | 64 28.0 8.8 N23 11.5 7.9 56.9 | Enif 28 38.4 N11 51.8
A 8 | 300 36.9 S23 23.1 | 78 56.0 9.0 N23 03.6 8.0 56.8 | Fomalhaut 9 37.6 S27 20.1
Y 9 | 315 36.6 S23 23.1 | 93 24.1 9.1 N22 55.5 8.1 56.8 | Gacrux 166 09.8 S59 31.1
10 | 330 36.3 S23 23.0 | 107 52.2 9.2 N22 47.3 8.2 56.8 | Gienah 170 28.4 S19 55.9
11 | 345 36.0 S23 23.0 | 122 20.5 9.3 N22 39.0 8.3 56.8 | Hadar 141 21.2 S62 25.9
| | |
12 | 0 35.7 S23 23.0 | 136 48.9 9.4 N22 30.6 8.4 56.7 | Hamal 322 05.2 N25 29.3
13 | 15 35.4 S23 23.0 | 151 17.5 9.5 N22 22.0 8.5 56.7 | Kaus Austr. 76 47.4 S34 09.3
14 | 30 35.1 S23 23.0 | 165 46.1 9.6 N22 13.4 8.6 56.7 | Kochab 137 32.4 N72 23.3
15 | 45 34.8 S23 23.0 | 180 14.8 9.7 N22 04.7 8.7 56.6 | Markab 8 24.9 N17 31.8
16 | 60 34.5 S23 23.0 | 194 43.7 9.8 N21 55.8 8.8 56.6 | Menkar 308 45.6 N 5 45.8
17 | 75 34.1 S23 23.0 | 209 12.6 10.0 N21 46.9 8.9 56.6 |
| | | Menkent 141 56.5 S38 28.5
18 | 90 33.8 S23 23.0 | 223 41.7 10.1 N21 37.8 9.0 56.5 | Miaplacidus 220 30.7 S71 29.4
19 | 105 33.5 S23 23.0 | 238 10.8 10.2 N21 28.7 9.1 56.5 | Mirfak 301 09.3 N51 22.4
20 | 120 33.2 S23 23.0 | 252 40.1 10.3 N21 19.4 9.2 56.5 | Nunki 69 29.4 S25 44.2
21 | 135 32.9 S23 22.9 | 267 09.5 10.4 N21 10.1 9.3 56.4 | Peacock 45 05.8 S55 19.8
22 | 150 32.6 S23 22.9 | 281 39.0 10.5 N21 00.6 9.4 56.4 |
23 | 165 32.3 S23 22.9 | 296 08.6 10.6 N20 51.1 9.5 56.4 | Polaris 213 20.2 N91 11.5
------+-------------------+----------------------------------| Pollux 237 03.5 N26 57.6
23 0 | 180 32.0 S23 22.9 | 310 38.4 10.7 N20 41.5 9.6 56.3 | Procyon 239 30.5 N 4 05.9
1 | 195 31.7 S23 22.9 | 325 08.2 10.8 N20 31.8 9.7 56.3 | Rasalhague 91 14.6 N12 16.0
2 | 210 31.4 S23 22.9 | 339 38.1 10.9 N20 22.0 9.8 56.3 | Regulus 202 09.0 N 9 51.0
3 | 225 31.1 S23 22.8 | 354 08.2 11.0 N20 12.1 9.9 56.2 |
4 | 240 30.8 S23 22.8 | 8 38.3 11.2 N20 02.1 10.0 56.2 | Rigel 276 09.2 S 7 43.5
T 5 | 255 30.5 S23 22.8 | 23 08.6 11.3 N19 52.0 10.1 56.2 | Rigil Kent 132 42.5 S62 35.5
U | | | Sabik 96 12.1 S16 14.0
E 6 | 270 30.2 S23 22.8 | 37 39.0 11.4 N19 41.8 10.2 56.2 | Schedar 343 41.0 N58 54.0
S 7 | 285 29.9 S23 22.8 | 52 09.4 11.5 N19 31.6 10.2 56.1 | Shaula 89 15.4 S37 23.3
D 8 | 300 29.6 S23 22.7 | 66 40.0 11.6 N19 21.3 10.3 56.1 |
A 9 | 315 29.3 S23 22.7 | 81 10.7 11.7 N19 10.9 10.4 56.1 | Sirius 253 56.2 S17 19.6
Y 10 | 330 29.0 S23 22.7 | 95 41.5 11.8 N19 00.4 10.5 56.0 | Spica 152 59.5 S13 24.0
11 | 345 28.7 S23 22.7 | 110 12.4 11.9 N18 49.9 10.6 56.0 | Suhail 219 00.1 S45 10.8
| | | Vega 77 05.9 N39 12.0
12 | 0 28.4 S23 22.6 | 124 43.4 12.0 N18 39.2 10.6 56.0 | Zuben-ubi 131 28.0 S17 48.9
13 | 15 28.1 S23 22.6 | 139 14.5 12.1 N18 28.5 10.7 55.9 |
14 | 30 27.7 S23 22.6 | 153 45.7 12.2 N18 17.7 10.8 55.9 |
15 | 45 27.4 S23 22.6 | 168 17.0 12.3 N18 06.9 10.9 55.9 |
16 | 60 27.1 S23 22.5 | 182 48.3 12.4 N17 55.9 10.9 55.9 |
17 | 75 26.8 S23 22.5 | 197 19.8 12.5 N17 45.0 11.0 55.8 |
| | |
18 | 90 26.5 S23 22.5 | 211 51.4 12.6 N17 33.9 11.1 55.8 |
19 | 105 26.2 S23 22.4 | 226 23.1 12.7 N17 22.8 11.1 55.8 |
20 | 120 25.9 S23 22.4 | 240 54.9 12.8 N17 11.6 11.2 55.7 |
21 | 135 25.6 S23 22.4 | 255 26.8 12.9 N17 00.3 11.3 55.7 |
22 | 150 25.3 S23 22.3 | 269 58.8 13.0 N16 49.0 11.3 55.7 |
23 | 165 25.0 S23 22.3 | 284 30.8 13.1 N16 37.6 11.4 55.7 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 15.7 15.5 15.3 |