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2031 DEC. 13, 14, 15 (SAT, SUN, MON)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
13 0 | 81 29.4 | 222 56.8 S12 45.5 | 121 26.2 S16 54.0 | 164 58.0 S23 15.6 | 2 51.2 N21 26.4
1 | 96 31.9 | 237 56.4 S12 46.5 | 136 26.8 S16 53.4 | 179 59.8 S23 15.6 | 17 53.9 N21 26.4
2 | 111 34.3 | 252 55.9 S12 47.4 | 151 27.4 S16 52.8 | 195 01.7 S23 15.6 | 32 56.6 N21 26.4
3 | 126 36.8 | 267 55.5 S12 48.3 | 166 27.9 S16 52.2 | 210 03.5 S23 15.5 | 47 59.3 N21 26.4
4 | 141 39.3 | 282 55.0 S12 49.3 | 181 28.5 S16 51.5 | 225 05.4 S23 15.5 | 63 02.0 N21 26.4
S 5 | 156 41.7 | 297 54.6 S12 50.2 | 196 29.1 S16 50.9 | 240 07.2 S23 15.5 | 78 04.7 N21 26.4
A
T 6 | 171 44.2 | 312 54.2 S12 51.1 | 211 29.6 S16 50.3 | 255 09.1 S23 15.5 | 93 07.4 N21 26.4
U 7 | 186 46.7 | 327 53.7 S12 52.1 | 226 30.2 S16 49.7 | 270 10.9 S23 15.4 | 108 10.0 N21 26.4
R 8 | 201 49.1 | 342 53.3 S12 53.0 | 241 30.8 S16 49.1 | 285 12.8 S23 15.4 | 123 12.7 N21 26.3
D 9 | 216 51.6 | 357 52.8 S12 53.9 | 256 31.3 S16 48.4 | 300 14.6 S23 15.4 | 138 15.4 N21 26.3
A 10 | 231 54.0 | 12 52.4 S12 54.9 | 271 31.9 S16 47.8 | 315 16.5 S23 15.4 | 153 18.1 N21 26.3
Y 11 | 246 56.5 | 27 51.9 S12 55.8 | 286 32.5 S16 47.2 | 330 18.3 S23 15.4 | 168 20.8 N21 26.3
12 | 261 59.0 | 42 51.5 S12 56.7 | 301 33.0 S16 46.6 | 345 20.2 S23 15.3 | 183 23.5 N21 26.3
13 | 277 01.4 | 57 51.0 S12 57.7 | 316 33.6 S16 46.0 | 0 22.0 S23 15.3 | 198 26.2 N21 26.3
14 | 292 03.9 | 72 50.6 S12 58.6 | 331 34.2 S16 45.3 | 15 23.9 S23 15.3 | 213 28.8 N21 26.3
15 | 307 06.4 | 87 50.1 S12 59.5 | 346 34.7 S16 44.7 | 30 25.7 S23 15.3 | 228 31.5 N21 26.3
16 | 322 08.8 | 102 49.7 S13 00.5 | 1 35.3 S16 44.1 | 45 27.5 S23 15.2 | 243 34.2 N21 26.2
17 | 337 11.3 | 117 49.2 S13 01.4 | 16 35.9 S16 43.5 | 60 29.4 S23 15.2 | 258 36.9 N21 26.2
18 | 352 13.8 | 132 48.8 S13 02.3 | 31 36.4 S16 42.8 | 75 31.2 S23 15.2 | 273 39.6 N21 26.2
19 | 7 16.2 | 147 48.3 S13 03.2 | 46 37.0 S16 42.2 | 90 33.1 S23 15.2 | 288 42.3 N21 26.2
20 | 22 18.7 | 162 47.9 S13 04.2 | 61 37.6 S16 41.6 | 105 34.9 S23 15.2 | 303 45.0 N21 26.2
21 | 37 21.2 | 177 47.4 S13 05.1 | 76 38.1 S16 41.0 | 120 36.8 S23 15.1 | 318 47.6 N21 26.2
22 | 52 23.6 | 192 47.0 S13 06.0 | 91 38.7 S16 40.4 | 135 38.6 S23 15.1 | 333 50.3 N21 26.2
23 | 67 26.1 | 207 46.5 S13 07.0 | 106 39.3 S16 39.7 | 150 40.5 S23 15.1 | 348 53.0 N21 26.2
------+----------+-------------------+-------------------+-------------------+--------------------
14 0 | 82 28.5 | 222 46.0 S13 07.9 | 121 39.8 S16 39.1 | 165 42.3 S23 15.1 | 3 55.7 N21 26.2
1 | 97 31.0 | 237 45.6 S13 08.8 | 136 40.4 S16 38.5 | 180 44.2 S23 15.0 | 18 58.4 N21 26.1
2 | 112 33.5 | 252 45.1 S13 09.7 | 151 41.0 S16 37.9 | 195 46.0 S23 15.0 | 34 01.1 N21 26.1
3 | 127 35.9 | 267 44.7 S13 10.7 | 166 41.5 S16 37.2 | 210 47.9 S23 15.0 | 49 03.8 N21 26.1
4 | 142 38.4 | 282 44.2 S13 11.6 | 181 42.1 S16 36.6 | 225 49.7 S23 15.0 | 64 06.4 N21 26.1
S 5 | 157 40.9 | 297 43.8 S13 12.5 | 196 42.7 S16 36.0 | 240 51.5 S23 15.0 | 79 09.1 N21 26.1
U
N 6 | 172 43.3 | 312 43.3 S13 13.4 | 211 43.2 S16 35.4 | 255 53.4 S23 14.9 | 94 11.8 N21 26.1
D 7 | 187 45.8 | 327 42.9 S13 14.4 | 226 43.8 S16 34.7 | 270 55.2 S23 14.9 | 109 14.5 N21 26.1
A 8 | 202 48.3 | 342 42.4 S13 15.3 | 241 44.4 S16 34.1 | 285 57.1 S23 14.9 | 124 17.2 N21 26.1
Y 9 | 217 50.7 | 357 41.9 S13 16.2 | 256 45.0 S16 33.5 | 300 58.9 S23 14.9 | 139 19.9 N21 26.0
10 | 232 53.2 | 12 41.5 S13 17.1 | 271 45.5 S16 32.9 | 316 00.8 S23 14.8 | 154 22.5 N21 26.0
11 | 247 55.7 | 27 41.0 S13 18.0 | 286 46.1 S16 32.2 | 331 02.6 S23 14.8 | 169 25.2 N21 26.0
12 | 262 58.1 | 42 40.6 S13 19.0 | 301 46.7 S16 31.6 | 346 04.5 S23 14.8 | 184 27.9 N21 26.0
13 | 278 00.6 | 57 40.1 S13 19.9 | 316 47.2 S16 31.0 | 1 06.3 S23 14.8 | 199 30.6 N21 26.0
14 | 293 03.0 | 72 39.6 S13 20.8 | 331 47.8 S16 30.3 | 16 08.2 S23 14.7 | 214 33.3 N21 26.0
15 | 308 05.5 | 87 39.2 S13 21.7 | 346 48.4 S16 29.7 | 31 10.0 S23 14.7 | 229 36.0 N21 26.0
16 | 323 08.0 | 102 38.7 S13 22.6 | 1 48.9 S16 29.1 | 46 11.9 S23 14.7 | 244 38.7 N21 26.0
17 | 338 10.4 | 117 38.2 S13 23.6 | 16 49.5 S16 28.5 | 61 13.7 S23 14.7 | 259 41.3 N21 25.9
18 | 353 12.9 | 132 37.8 S13 24.5 | 31 50.1 S16 27.8 | 76 15.5 S23 14.7 | 274 44.0 N21 25.9
19 | 8 15.4 | 147 37.3 S13 25.4 | 46 50.7 S16 27.2 | 91 17.4 S23 14.6 | 289 46.7 N21 25.9
20 | 23 17.8 | 162 36.9 S13 26.3 | 61 51.2 S16 26.6 | 106 19.2 S23 14.6 | 304 49.4 N21 25.9
21 | 38 20.3 | 177 36.4 S13 27.2 | 76 51.8 S16 25.9 | 121 21.1 S23 14.6 | 319 52.1 N21 25.9
22 | 53 22.8 | 192 35.9 S13 28.1 | 91 52.4 S16 25.3 | 136 22.9 S23 14.6 | 334 54.8 N21 25.9
23 | 68 25.2 | 207 35.5 S13 29.1 | 106 53.0 S16 24.7 | 151 24.8 S23 14.5 | 349 57.5 N21 25.9
------+----------+-------------------+-------------------+-------------------+--------------------
15 0 | 83 27.7 | 222 35.0 S13 30.0 | 121 53.5 S16 24.0 | 166 26.6 S23 14.5 | 5 00.1 N21 25.9
1 | 98 30.2 | 237 34.5 S13 30.9 | 136 54.1 S16 23.4 | 181 28.5 S23 14.5 | 20 02.8 N21 25.8
2 | 113 32.6 | 252 34.1 S13 31.8 | 151 54.7 S16 22.8 | 196 30.3 S23 14.5 | 35 05.5 N21 25.8
3 | 128 35.1 | 267 33.6 S13 32.7 | 166 55.2 S16 22.1 | 211 32.2 S23 14.4 | 50 08.2 N21 25.8
4 | 143 37.5 | 282 33.1 S13 33.6 | 181 55.8 S16 21.5 | 226 34.0 S23 14.4 | 65 10.9 N21 25.8
M 5 | 158 40.0 | 297 32.6 S13 34.6 | 196 56.4 S16 20.9 | 241 35.8 S23 14.4 | 80 13.6 N21 25.8
O
N 6 | 173 42.5 | 312 32.2 S13 35.5 | 211 57.0 S16 20.3 | 256 37.7 S23 14.4 | 95 16.3 N21 25.8
D 7 | 188 44.9 | 327 31.7 S13 36.4 | 226 57.5 S16 19.6 | 271 39.5 S23 14.3 | 110 18.9 N21 25.8
A 8 | 203 47.4 | 342 31.2 S13 37.3 | 241 58.1 S16 19.0 | 286 41.4 S23 14.3 | 125 21.6 N21 25.8
Y 9 | 218 49.9 | 357 30.8 S13 38.2 | 256 58.7 S16 18.4 | 301 43.2 S23 14.3 | 140 24.3 N21 25.8
10 | 233 52.3 | 12 30.3 S13 39.1 | 271 59.3 S16 17.7 | 316 45.1 S23 14.3 | 155 27.0 N21 25.7
11 | 248 54.8 | 27 29.8 S13 40.0 | 286 59.8 S16 17.1 | 331 46.9 S23 14.2 | 170 29.7 N21 25.7
12 | 263 57.3 | 42 29.4 S13 40.9 | 302 00.4 S16 16.5 | 346 48.8 S23 14.2 | 185 32.4 N21 25.7
13 | 278 59.7 | 57 28.9 S13 41.8 | 317 01.0 S16 15.8 | 1 50.6 S23 14.2 | 200 35.0 N21 25.7
14 | 294 02.2 | 72 28.4 S13 42.8 | 332 01.6 S16 15.2 | 16 52.4 S23 14.2 | 215 37.7 N21 25.7
15 | 309 04.6 | 87 27.9 S13 43.7 | 347 02.1 S16 14.5 | 31 54.3 S23 14.2 | 230 40.4 N21 25.7
16 | 324 07.1 | 102 27.5 S13 44.6 | 2 02.7 S16 13.9 | 46 56.1 S23 14.1 | 245 43.1 N21 25.7
17 | 339 09.6 | 117 27.0 S13 45.5 | 17 03.3 S16 13.3 | 61 58.0 S23 14.1 | 260 45.8 N21 25.7
18 | 354 12.0 | 132 26.5 S13 46.4 | 32 03.9 S16 12.6 | 76 59.8 S23 14.1 | 275 48.5 N21 25.6
19 | 9 14.5 | 147 26.0 S13 47.3 | 47 04.4 S16 12.0 | 92 01.7 S23 14.1 | 290 51.2 N21 25.6
20 | 24 17.0 | 162 25.5 S13 48.2 | 62 05.0 S16 11.4 | 107 03.5 S23 14.0 | 305 53.8 N21 25.6
21 | 39 19.4 | 177 25.1 S13 49.1 | 77 05.6 S16 10.7 | 122 05.4 S23 14.0 | 320 56.5 N21 25.6
22 | 54 21.9 | 192 24.6 S13 50.0 | 92 06.2 S16 10.1 | 137 07.2 S23 14.0 | 335 59.2 N21 25.6
23 | 69 24.4 | 207 24.1 S13 50.9 | 107 06.7 S16 09.5 | 152 09.0 S23 14.0 | 351 01.9 N21 25.6
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.5 d 0.9 | v 0.6 d 0.6 | v 1.8 d 0.0 | v 2.7 d 0.0
2031 DEC. 13, 14, 15 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
13 0 | 181 32.9 S23 06.7 | 201 19.8 5.5 S19 23.0 4.1 59.7 | Acamar 315 07.4 S40 10.8
1 | 196 32.6 S23 06.8 | 215 44.3 5.4 S19 26.9 3.9 59.7 | Achernar 335 16.2 S57 04.7
2 | 211 32.3 S23 07.0 | 230 08.6 5.3 S19 30.7 3.8 59.7 | Acrux 172 53.8 S63 16.3
3 | 226 32.0 S23 07.2 | 244 32.9 5.3 S19 34.4 3.7 59.8 | Adhara 255 01.2 S29 01.1
4 | 241 31.7 S23 07.4 | 258 57.1 5.2 S19 38.0 3.5 59.8 | Albireo 67 00.0 N28 01.9
S 5 | 256 31.4 S23 07.5 | 273 21.2 5.1 S19 41.4 3.4 59.8 |
A | | | Aldebaran 290 33.1 N16 34.3
T 6 | 271 31.1 S23 07.7 | 287 45.3 5.1 S19 44.6 3.3 59.9 | Alioth 166 08.8 N55 46.9
U 7 | 286 30.8 S23 07.9 | 302 09.3 5.0 S19 47.8 3.1 59.9 | Alkaid 152 48.3 N49 09.0
R 8 | 301 30.5 S23 08.1 | 316 33.2 4.9 S19 50.8 3.0 59.9 | Al Na-ir 27 26.5 S46 48.4
D 9 | 316 30.2 S23 08.2 | 330 57.1 4.9 S19 53.7 2.9 59.9 | Alnilam 275 31.9 S 1 11.1
A 10 | 331 29.9 S23 08.4 | 345 20.9 4.8 S19 56.4 2.7 60.0 |
Y 11 | 346 29.6 S23 08.6 | 359 44.7 4.8 S19 59.0 2.6 60.0 | Alphard 217 42.2 S 8 48.0
| | | Alphecca 125 59.6 N26 36.5
12 | 1 29.3 S23 08.7 | 14 08.4 4.7 S20 01.5 2.5 60.0 | Alpheratz 357 29.0 N29 16.3
13 | 16 29.0 S23 08.9 | 28 32.0 4.6 S20 03.8 2.3 60.0 | Altair 61 55.0 N 8 57.4
14 | 31 28.7 S23 09.1 | 42 55.6 4.6 S20 06.0 2.2 60.1 | Ankaa 353 01.9 S42 08.1
15 | 46 28.4 S23 09.2 | 57 19.1 4.5 S20 08.0 2.0 60.1 |
16 | 61 28.1 S23 09.4 | 71 42.6 4.5 S20 09.9 1.9 60.1 | Antares 112 09.6 S26 29.9
17 | 76 27.8 S23 09.6 | 86 06.1 4.4 S20 11.7 1.8 60.2 | Arcturus 145 43.3 N19 00.9
| | | Atria 106 59.5 S69 04.8
18 | 91 27.5 S23 09.7 | 100 29.5 4.4 S20 13.3 1.6 60.2 | Avior 234 11.8 S59 36.7
19 | 106 27.2 S23 09.9 | 114 52.8 4.3 S20 14.8 1.5 60.2 | Bellatrix 278 16.8 N 6 22.5
20 | 121 26.9 S23 10.0 | 129 16.1 4.3 S20 16.1 1.3 60.2 |
21 | 136 26.6 S23 10.2 | 143 39.4 4.3 S20 17.3 1.2 60.2 | Betelgeuse 270 45.9 N 7 24.6
22 | 151 26.3 S23 10.4 | 158 02.6 4.2 S20 18.4 1.0 60.3 | Canopus 263 49.4 S52 42.9
23 | 166 26.1 S23 10.5 | 172 25.8 4.2 S20 19.3 0.9 60.3 | Capella 280 13.4 N46 01.6
------+-------------------+----------------------------------| Castor 245 49.9 N31 48.8
14 0 | 181 25.8 S23 10.7 | 186 48.9 4.1 S20 20.0 0.8 60.3 | Deneb 49 22.3 N45 24.1
1 | 196 25.5 S23 10.8 | 201 12.0 4.1 S20 20.6 0.6 60.3 |
2 | 211 25.2 S23 11.0 | 215 35.1 4.1 S20 21.1 0.5 60.4 | Denebola 182 19.5 N14 23.4
3 | 226 24.9 S23 11.1 | 229 58.1 4.0 S20 21.4 0.3 60.4 | Diphda 348 41.9 S17 48.7
4 | 241 24.6 S23 11.3 | 244 21.2 4.0 S20 21.6 0.2 60.4 | Dubhe 193 34.7 N61 34.3
S 5 | 256 24.3 S23 11.5 | 258 44.2 4.0 S20 21.6 0.0 60.4 | Elnath 277 54.7 N28 37.8
U | | | Eltanin 90 40.3 N51 29.3
N 6 | 271 24.0 S23 11.6 | 273 07.1 4.0 S20 21.5 0.1 60.4 |
D 7 | 286 23.7 S23 11.8 | 287 30.1 3.9 S20 21.2 0.3 60.5 | Enif 33 33.6 N10 01.6
A 8 | 301 23.4 S23 11.9 | 301 53.0 3.9 S20 20.8 0.4 60.5 | Fomalhaut 15 08.7 S29 27.2
Y 9 | 316 23.1 S23 12.1 | 316 15.9 3.9 S20 20.2 0.6 60.5 | Gacrux 171 45.5 S57 17.3
10 | 331 22.8 S23 12.2 | 330 38.7 3.9 S20 19.5 0.7 60.5 | Gienah 175 38.0 S17 43.1
11 | 346 22.5 S23 12.4 | 345 01.6 3.9 S20 18.6 0.9 60.5 | Hadar 148 28.5 S60 31.3
| | |
12 | 1 22.2 S23 12.5 | 359 24.5 3.8 S20 17.6 1.0 60.5 | Hamal 327 44.8 N23 36.9
13 | 16 21.9 S23 12.7 | 13 47.3 3.8 S20 16.5 1.2 60.6 | Kaus Austr. 83 25.8 S34 22.0
14 | 31 21.6 S23 12.8 | 28 10.1 3.8 S20 15.1 1.3 60.6 | Kochab 137 21.7 N74 01.3
15 | 46 21.3 S23 12.9 | 42 32.9 3.8 S20 13.7 1.5 60.6 | Markab 13 24.5 N15 22.8
16 | 61 21.0 S23 13.1 | 56 55.8 3.8 S20 12.1 1.6 60.6 | Menkar 314 00.2 N 4 12.8
17 | 76 20.7 S23 13.2 | 71 18.6 3.8 S20 10.3 1.8 60.6 |
| | | Menkent 147 51.4 S36 31.4
18 | 91 20.4 S23 13.4 | 85 41.4 3.8 S20 08.4 1.9 60.6 | Miaplacidus 221 36.0 S69 50.8
19 | 106 20.1 S23 13.5 | 100 04.2 3.8 S20 06.4 2.1 60.7 | Mirfak 308 19.9 N49 58.5
20 | 121 19.8 S23 13.7 | 114 27.0 3.8 S20 04.2 2.2 60.7 | Nunki 75 41.5 S26 15.2
21 | 136 19.5 S23 13.8 | 128 49.8 3.8 S20 01.8 2.4 60.7 | Peacock 52 57.9 S56 37.9
22 | 151 19.2 S23 13.9 | 143 12.6 3.8 S19 59.3 2.5 60.7 |
23 | 166 18.9 S23 14.1 | 157 35.4 3.8 S19 56.7 2.6 60.7 | Polaris 314 05.2 N89 23.6
------+-------------------+----------------------------------| Pollux 243 10.4 N27 56.6
15 0 | 181 18.6 S23 14.2 | 171 58.3 3.8 S19 53.9 2.8 60.7 | Procyon 244 44.9 N 5 08.3
1 | 196 18.3 S23 14.4 | 186 21.1 3.8 S19 50.9 2.9 60.7 | Rasalhague 95 53.9 N12 32.5
2 | 211 18.0 S23 14.5 | 200 44.0 3.9 S19 47.8 3.1 60.7 | Regulus 207 28.6 N11 48.4
3 | 226 17.7 S23 14.6 | 215 06.8 3.9 S19 44.6 3.2 60.7 |
4 | 241 17.4 S23 14.8 | 229 29.7 3.9 S19 41.2 3.4 60.8 | Rigel 280 58.3 S 8 10.1
M 5 | 256 17.1 S23 14.9 | 243 52.6 3.9 S19 37.7 3.5 60.8 | Rigil Kent 139 33.3 S60 57.7
O | | | Sabik 101 57.0 S15 45.6
N 6 | 271 16.8 S23 15.0 | 258 15.5 3.9 S19 34.0 3.7 60.8 | Schedar 349 24.3 N56 43.1
D 7 | 286 16.5 S23 15.2 | 272 38.5 3.9 S19 30.2 3.8 60.8 | Shaula 96 03.5 S37 07.4
A 8 | 301 16.2 S23 15.3 | 287 01.4 4.0 S19 26.3 4.0 60.8 |
Y 9 | 316 15.9 S23 15.4 | 301 24.4 4.0 S19 22.2 4.1 60.8 | Sirius 258 21.1 S16 45.8
10 | 331 15.6 S23 15.6 | 315 47.5 4.0 S19 17.9 4.2 60.8 | Spica 158 16.7 S11 19.6
11 | 346 15.3 S23 15.7 | 330 10.5 4.0 S19 13.5 4.4 60.8 | Suhail 222 41.9 S43 33.7
| | | Vega 80 30.0 N38 49.1
12 | 1 15.0 S23 15.8 | 344 33.6 4.1 S19 09.0 4.5 60.8 | Zuben-ubi 136 51.3 S16 10.3
13 | 16 14.7 S23 15.9 | 358 56.7 4.1 S19 04.3 4.7 60.8 |
14 | 31 14.4 S23 16.1 | 13 19.8 4.1 S18 59.5 4.8 60.8 |
15 | 46 14.1 S23 16.2 | 27 43.0 4.2 S18 54.6 4.9 60.8 |
16 | 61 13.8 S23 16.3 | 42 06.2 4.2 S18 49.5 5.1 60.8 |
17 | 76 13.5 S23 16.5 | 56 29.5 4.3 S18 44.3 5.2 60.8 |
| | |
18 | 91 13.2 S23 16.6 | 70 52.8 4.3 S18 39.0 5.4 60.8 |
19 | 106 12.9 S23 16.7 | 85 16.1 4.3 S18 33.5 5.5 60.8 |
20 | 121 12.5 S23 16.8 | 99 39.5 4.4 S18 27.8 5.6 60.8 |
21 | 136 12.2 S23 16.9 | 114 02.9 4.4 S18 22.1 5.8 60.8 |
22 | 151 11.9 S23 17.1 | 128 26.4 4.5 S18 16.2 5.9 60.8 |
23 | 166 11.6 S23 17.2 | 142 49.9 4.5 S18 10.2 6.0 60.8 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 16.4 16.5 16.6 |