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2431 DEC. 20, 21, 22 (SAT, SUN, MON)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 88 30.8 | 193 10.1 S22 12.1 | 206 27.7 S20 49.9 | 249 11.5 S 6 50.3 | 155 00.3 S21 29.6
1 | 103 33.3 | 208 09.2 S22 12.5 | 221 28.4 S20 50.2 | 264 13.7 S 6 50.5 | 170 02.5 S21 29.6
2 | 118 35.7 | 223 08.3 S22 12.9 | 236 29.0 S20 50.6 | 279 15.8 S 6 50.6 | 185 04.6 S21 29.5
3 | 133 38.2 | 238 07.4 S22 13.3 | 251 29.7 S20 50.9 | 294 17.9 S 6 50.7 | 200 06.8 S21 29.5
4 | 148 40.7 | 253 06.5 S22 13.7 | 266 30.4 S20 51.3 | 309 20.1 S 6 50.8 | 215 09.0 S21 29.5
S 5 | 163 43.1 | 268 05.6 S22 14.1 | 281 31.0 S20 51.6 | 324 22.2 S 6 50.9 | 230 11.1 S21 29.4
A
T 6 | 178 45.6 | 283 04.7 S22 14.5 | 296 31.6 S20 52.0 | 339 24.4 S 6 51.1 | 245 13.3 S21 29.4
U 7 | 193 48.1 | 298 03.8 S22 14.9 | 311 32.3 S20 52.3 | 354 26.5 S 6 51.2 | 260 15.5 S21 29.3
R 8 | 208 50.5 | 313 02.9 S22 15.3 | 326 32.9 S20 52.7 | 9 28.7 S 6 51.3 | 275 17.7 S21 29.3
D 9 | 223 53.0 | 328 02.0 S22 15.7 | 341 33.6 S20 53.0 | 24 30.8 S 6 51.4 | 290 19.8 S21 29.3
A 10 | 238 55.5 | 343 01.1 S22 16.2 | 356 34.2 S20 53.3 | 39 33.0 S 6 51.5 | 305 22.0 S21 29.2
Y 11 | 253 57.9 | 358 00.2 S22 16.6 | 11 34.9 S20 53.7 | 54 35.1 S 6 51.7 | 320 24.2 S21 29.2
12 | 269 00.4 | 12 59.3 S22 17.0 | 26 35.5 S20 54.0 | 69 37.2 S 6 51.8 | 335 26.3 S21 29.1
13 | 284 02.9 | 27 58.4 S22 17.4 | 41 36.2 S20 54.4 | 84 39.4 S 6 51.9 | 350 28.5 S21 29.1
14 | 299 05.3 | 42 57.5 S22 17.7 | 56 36.8 S20 54.7 | 99 41.5 S 6 52.0 | 5 30.7 S21 29.1
15 | 314 07.8 | 57 56.5 S22 18.1 | 71 37.5 S20 55.1 | 114 43.7 S 6 52.1 | 20 32.8 S21 29.0
16 | 329 10.2 | 72 55.6 S22 18.5 | 86 38.1 S20 55.4 | 129 45.8 S 6 52.3 | 35 35.0 S21 29.0
17 | 344 12.7 | 87 54.7 S22 18.9 | 101 38.8 S20 55.7 | 144 48.0 S 6 52.4 | 50 37.2 S21 28.9
18 | 359 15.2 | 102 53.8 S22 19.3 | 116 39.4 S20 56.1 | 159 50.1 S 6 52.5 | 65 39.3 S21 28.9
19 | 14 17.6 | 117 52.9 S22 19.7 | 131 40.1 S20 56.4 | 174 52.3 S 6 52.6 | 80 41.5 S21 28.9
20 | 29 20.1 | 132 52.0 S22 20.1 | 146 40.7 S20 56.8 | 189 54.4 S 6 52.7 | 95 43.7 S21 28.8
21 | 44 22.6 | 147 51.1 S22 20.5 | 161 41.4 S20 57.1 | 204 56.6 S 6 52.8 | 110 45.8 S21 28.8
22 | 59 25.0 | 162 50.2 S22 20.9 | 176 42.0 S20 57.4 | 219 58.7 S 6 53.0 | 125 48.0 S21 28.7
23 | 74 27.5 | 177 49.3 S22 21.3 | 191 42.7 S20 57.8 | 235 00.9 S 6 53.1 | 140 50.2 S21 28.7
------+----------+-------------------+-------------------+-------------------+--------------------
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
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.9 d 0.4 | v 0.6 d 0.3 | v 2.2 d 0.1 | v 2.2 d 0.0
2431 DEC. 20, 21, 22 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 53.9 S23 22.0 | 351 17.6 4.4 N26 51.7 0.6 58.6 | Acamar 311 19.0 S38 35.6
1 | 195 53.6 S23 22.0 | 5 41.0 4.4 N26 52.1 0.4 58.6 | Achernar 331 32.2 S55 03.6
2 | 210 53.3 S23 22.1 | 20 04.4 4.4 N26 52.4 0.2 58.6 | Acrux 167 16.7 S65 28.7
3 | 225 53.0 S23 22.1 | 34 27.9 4.5 N26 52.4 0.1 58.5 | Adhara 251 04.6 S29 34.4
4 | 240 52.7 S23 22.1 | 48 51.4 4.5 N26 52.3 0.1 58.5 | Albireo 62 57.3 N28 52.9
S 5 | 255 52.4 S23 22.2 | 63 15.0 4.6 N26 52.0 0.3 58.5 |
A | | | Aldebaran 284 47.9 N17 21.2
T 6 | 270 52.1 S23 22.2 | 77 38.6 4.6 N26 51.5 0.5 58.4 | Alioth 161 44.9 N53 37.3
U 7 | 285 51.8 S23 22.3 | 92 02.2 4.6 N26 50.9 0.7 58.4 | Alkaid 148 51.3 N47 10.0
R 8 | 300 51.5 S23 22.3 | 106 25.9 4.7 N26 50.1 0.8 58.4 | Al Na-ir 21 10.0 S44 52.0
D 9 | 315 51.2 S23 22.3 | 120 49.7 4.7 N26 49.1 1.0 58.3 | Alnilam 270 26.7 S 0 56.9
A 10 | 330 50.9 S23 22.4 | 135 13.5 4.8 N26 47.9 1.2 58.3 |
Y 11 | 345 50.6 S23 22.4 | 149 37.3 4.9 N26 46.5 1.4 58.3 | Alphard 212 46.8 S10 32.4
| | | Alphecca 121 44.6 N25 16.7
12 | 0 50.3 S23 22.4 | 164 01.3 4.9 N26 45.0 1.5 58.3 | Alpheratz 352 17.6 N31 28.3
13 | 15 50.0 S23 22.5 | 178 25.2 5.0 N26 43.3 1.7 58.2 | Altair 57 01.8 N10 01.5
14 | 30 49.7 S23 22.5 | 192 49.3 5.0 N26 41.4 1.9 58.2 | Ankaa 348 05.6 S39 58.4
15 | 45 49.4 S23 22.5 | 207 13.4 5.1 N26 39.4 2.0 58.2 |
16 | 60 49.0 S23 22.5 | 221 37.5 5.2 N26 37.2 2.2 58.1 | Antares 106 00.7 S27 21.8
17 | 75 48.7 S23 22.6 | 236 01.8 5.2 N26 34.8 2.4 58.1 | Arcturus 141 08.8 N16 56.8
| | | Atria 96 21.1 S69 46.4
18 | 90 48.4 S23 22.6 | 250 26.1 5.3 N26 32.3 2.5 58.1 | Avior 232 08.0 S60 54.0
19 | 105 48.1 S23 22.6 | 264 50.4 5.4 N26 29.6 2.7 58.0 | Bellatrix 272 54.2 N 6 43.0
20 | 120 47.8 S23 22.7 | 279 14.9 5.4 N26 26.7 2.9 58.0 |
21 | 135 47.5 S23 22.7 | 293 39.4 5.5 N26 23.6 3.0 58.0 | Betelgeuse 265 20.4 N 7 27.8
22 | 150 47.2 S23 22.7 | 308 04.0 5.6 N26 20.4 3.2 58.0 | Canopus 261 34.9 S52 56.4
23 | 165 46.9 S23 22.7 | 322 28.7 5.7 N26 17.1 3.4 57.9 | Capella 272 49.3 N46 24.3
------+-------------------+----------------------------------| Castor 239 27.2 N30 55.1
21 0 | 180 46.6 S23 22.8 | 336 53.4 5.8 N26 13.5 3.5 57.9 | Deneb 45 57.0 N46 50.0
1 | 195 46.3 S23 22.8 | 351 18.3 5.8 N26 09.9 3.7 57.9 |
2 | 210 46.0 S23 22.8 | 5 43.2 5.9 N26 06.0 3.8 57.8 | Denebola 177 13.2 N12 09.6
3 | 225 45.7 S23 22.8 | 20 08.2 6.0 N26 02.0 4.0 57.8 | Diphda 343 40.4 S15 37.6
4 | 240 45.4 S23 22.8 | 34 33.3 6.1 N25 57.9 4.2 57.8 | Dubhe 187 27.2 N59 24.7
S 5 | 255 45.1 S23 22.9 | 48 58.5 6.2 N25 53.5 4.3 57.7 | Elnath 271 34.7 N28 56.6
U | | | Eltanin 88 19.7 N51 26.8
N 6 | 270 44.8 S23 22.9 | 63 23.8 6.3 N25 49.1 4.5 57.7 |
D 7 | 285 44.5 S23 22.9 | 77 49.1 6.4 N25 44.5 4.6 57.7 | Enif 28 38.4 N11 51.8
A 8 | 300 44.2 S23 22.9 | 92 14.6 6.5 N25 39.7 4.8 57.6 | Fomalhaut 9 37.6 S27 20.1
Y 9 | 315 43.9 S23 22.9 | 106 40.1 6.6 N25 34.8 4.9 57.6 | Gacrux 166 09.9 S59 31.1
10 | 330 43.6 S23 22.9 | 121 05.8 6.6 N25 29.7 5.1 57.6 | Gienah 170 28.4 S19 55.9
11 | 345 43.3 S23 23.0 | 135 31.5 6.7 N25 24.5 5.2 57.5 | Hadar 141 21.2 S62 25.9
| | |
12 | 0 43.0 S23 23.0 | 149 57.4 6.8 N25 19.1 5.4 57.5 | Hamal 322 05.2 N25 29.3
13 | 15 42.7 S23 23.0 | 164 23.3 6.9 N25 13.6 5.5 57.5 | Kaus Austr. 76 47.4 S34 09.3
14 | 30 42.4 S23 23.0 | 178 49.4 7.0 N25 08.0 5.6 57.4 | Kochab 137 32.4 N72 23.3
15 | 45 42.1 S23 23.0 | 193 15.5 7.1 N25 02.2 5.8 57.4 | Markab 8 24.9 N17 31.8
16 | 60 41.8 S23 23.0 | 207 41.7 7.2 N24 56.3 5.9 57.4 | Menkar 308 45.6 N 5 45.8
17 | 75 41.5 S23 23.0 | 222 08.1 7.3 N24 50.2 6.1 57.3 |
| | | Menkent 141 56.5 S38 28.5
18 | 90 41.2 S23 23.0 | 236 34.5 7.4 N24 44.0 6.2 57.3 | Miaplacidus 220 30.7 S71 29.4
19 | 105 40.8 S23 23.0 | 251 01.1 7.6 N24 37.7 6.3 57.3 | Mirfak 301 09.3 N51 22.4
20 | 120 40.5 S23 23.0 | 265 27.7 7.7 N24 31.2 6.5 57.2 | Nunki 69 29.4 S25 44.2
21 | 135 40.2 S23 23.0 | 279 54.5 7.8 N24 24.6 6.6 57.2 | Peacock 45 05.8 S55 19.8
22 | 150 39.9 S23 23.1 | 294 21.4 7.9 N24 17.8 6.7 57.2 |
23 | 165 39.6 S23 23.1 | 308 48.3 8.0 N24 11.0 6.9 57.1 | Polaris 213 19.9 N91 11.5
------+-------------------+----------------------------------| Pollux 237 03.5 N26 57.6
22 0 | 180 39.3 S23 23.1 | 323 15.4 8.1 N24 04.0 7.0 57.1 | Procyon 239 30.5 N 4 05.9
1 | 195 39.0 S23 23.1 | 337 42.6 8.2 N23 56.9 7.1 57.1 | Rasalhague 91 14.6 N12 16.0
2 | 210 38.7 S23 23.1 | 352 09.9 8.3 N23 49.6 7.2 57.0 | Regulus 202 09.0 N 9 51.0
3 | 225 38.4 S23 23.1 | 6 37.3 8.4 N23 42.2 7.4 57.0 |
4 | 240 38.1 S23 23.1 | 21 04.8 8.5 N23 34.7 7.5 57.0 | Rigel 276 09.2 S 7 43.5
M 5 | 255 37.8 S23 23.1 | 35 32.5 8.6 N23 27.1 7.6 56.9 | Rigil Kent 132 42.5 S62 35.5
O | | | Sabik 96 12.1 S16 14.0
N 6 | 270 37.5 S23 23.1 | 50 00.2 8.7 N23 19.4 7.7 56.9 | Schedar 343 41.0 N58 54.0
D 7 | 285 37.2 S23 23.1 | 64 28.0 8.8 N23 11.5 7.9 56.9 | Shaula 89 15.4 S37 23.3
A 8 | 300 36.9 S23 23.1 | 78 56.0 9.0 N23 03.6 8.0 56.8 |
Y 9 | 315 36.6 S23 23.1 | 93 24.1 9.1 N22 55.5 8.1 56.8 | Sirius 253 56.2 S17 19.6
10 | 330 36.3 S23 23.0 | 107 52.2 9.2 N22 47.3 8.2 56.8 | Spica 152 59.6 S13 24.0
11 | 345 36.0 S23 23.0 | 122 20.5 9.3 N22 39.0 8.3 56.8 | Suhail 219 00.2 S45 10.8
| | | Vega 77 05.9 N39 12.0
12 | 0 35.7 S23 23.0 | 136 48.9 9.4 N22 30.6 8.4 56.7 | Zuben-ubi 131 28.0 S17 48.9
13 | 15 35.4 S23 23.0 | 151 17.5 9.5 N22 22.0 8.5 56.7 |
14 | 30 35.1 S23 23.0 | 165 46.1 9.6 N22 13.4 8.6 56.7 |
15 | 45 34.8 S23 23.0 | 180 14.8 9.7 N22 04.7 8.7 56.6 |
16 | 60 34.5 S23 23.0 | 194 43.7 9.8 N21 55.8 8.8 56.6 |
17 | 75 34.1 S23 23.0 | 209 12.6 10.0 N21 46.9 8.9 56.6 |
| | |
18 | 90 33.8 S23 23.0 | 223 41.7 10.1 N21 37.8 9.0 56.5 |
19 | 105 33.5 S23 23.0 | 238 10.8 10.2 N21 28.7 9.1 56.5 |
20 | 120 33.2 S23 23.0 | 252 40.1 10.3 N21 19.4 9.2 56.5 |
21 | 135 32.9 S23 22.9 | 267 09.5 10.4 N21 10.1 9.3 56.4 |
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 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 15.9 15.7 15.5 |