
1931 DEC. 18, 19, 20 (FRI, SAT, SUN)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 85 38.7 | 153 27.6 S23 27.5 | 169 04.8 S24 13.0 | 300 29.4 N14 47.2 | 151 41.4 S21 41.5
1 | 100 41.2 | 168 26.7 S23 27.1 | 184 05.2 S24 12.9 | 315 31.9 N14 47.2 | 166 43.5 S21 41.4
2 | 115 43.6 | 183 25.8 S23 26.7 | 199 05.5 S24 12.8 | 330 34.4 N14 47.2 | 181 45.7 S21 41.4
3 | 130 46.1 | 198 24.9 S23 26.2 | 214 05.9 S24 12.8 | 345 36.9 N14 47.3 | 196 47.9 S21 41.3
4 | 145 48.6 | 213 24.0 S23 25.8 | 229 06.3 S24 12.7 | 0 39.5 N14 47.3 | 211 50.0 S21 41.3
F 5 | 160 51.0 | 228 23.1 S23 25.4 | 244 06.6 S24 12.6 | 15 42.0 N14 47.3 | 226 52.2 S21 41.3
R
I 6 | 175 53.5 | 243 22.2 S23 25.0 | 259 07.0 S24 12.5 | 30 44.5 N14 47.4 | 241 54.4 S21 41.2
D 7 | 190 56.0 | 258 21.3 S23 24.6 | 274 07.4 S24 12.5 | 45 47.1 N14 47.4 | 256 56.5 S21 41.2
A 8 | 205 58.4 | 273 20.4 S23 24.1 | 289 07.8 S24 12.4 | 60 49.6 N14 47.4 | 271 58.7 S21 41.1
Y 9 | 221 00.9 | 288 19.5 S23 23.7 | 304 08.1 S24 12.3 | 75 52.1 N14 47.5 | 287 00.9 S21 41.1
10 | 236 03.3 | 303 18.6 S23 23.3 | 319 08.5 S24 12.2 | 90 54.6 N14 47.5 | 302 03.1 S21 41.1
11 | 251 05.8 | 318 17.7 S23 22.8 | 334 08.9 S24 12.2 | 105 57.2 N14 47.5 | 317 05.2 S21 41.0
12 | 266 08.3 | 333 16.8 S23 22.4 | 349 09.2 S24 12.1 | 120 59.7 N14 47.6 | 332 07.4 S21 41.0
13 | 281 10.7 | 348 15.9 S23 22.0 | 4 09.6 S24 12.0 | 136 02.2 N14 47.6 | 347 09.6 S21 40.9
14 | 296 13.2 | 3 15.1 S23 21.5 | 19 10.0 S24 11.9 | 151 04.8 N14 47.6 | 2 11.7 S21 40.9
15 | 311 15.7 | 18 14.2 S23 21.1 | 34 10.4 S24 11.8 | 166 07.3 N14 47.7 | 17 13.9 S21 40.8
16 | 326 18.1 | 33 13.3 S23 20.7 | 49 10.7 S24 11.8 | 181 09.8 N14 47.7 | 32 16.1 S21 40.8
17 | 341 20.6 | 48 12.4 S23 20.2 | 64 11.1 S24 11.7 | 196 12.4 N14 47.7 | 47 18.3 S21 40.8
18 | 356 23.1 | 63 11.5 S23 19.8 | 79 11.5 S24 11.6 | 211 14.9 N14 47.8 | 62 20.4 S21 40.7
19 | 11 25.5 | 78 10.6 S23 19.4 | 94 11.8 S24 11.5 | 226 17.4 N14 47.8 | 77 22.6 S21 40.7
20 | 26 28.0 | 93 09.7 S23 18.9 | 109 12.2 S24 11.4 | 241 20.0 N14 47.8 | 92 24.8 S21 40.6
21 | 41 30.5 | 108 08.8 S23 18.5 | 124 12.6 S24 11.4 | 256 22.5 N14 47.9 | 107 26.9 S21 40.6
22 | 56 32.9 | 123 07.9 S23 18.0 | 139 13.0 S24 11.3 | 271 25.0 N14 47.9 | 122 29.1 S21 40.6
23 | 71 35.4 | 138 07.1 S23 17.6 | 154 13.3 S24 11.2 | 286 27.6 N14 47.9 | 137 31.3 S21 40.5
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 86 37.8 | 153 06.2 S23 17.1 | 169 13.7 S24 11.1 | 301 30.1 N14 48.0 | 152 33.4 S21 40.5
1 | 101 40.3 | 168 05.3 S23 16.7 | 184 14.1 S24 11.0 | 316 32.6 N14 48.0 | 167 35.6 S21 40.4
2 | 116 42.8 | 183 04.4 S23 16.2 | 199 14.4 S24 10.9 | 331 35.2 N14 48.0 | 182 37.8 S21 40.4
3 | 131 45.2 | 198 03.5 S23 15.8 | 214 14.8 S24 10.9 | 346 37.7 N14 48.1 | 197 40.0 S21 40.3
4 | 146 47.7 | 213 02.6 S23 15.3 | 229 15.2 S24 10.8 | 1 40.2 N14 48.1 | 212 42.1 S21 40.3
S 5 | 161 50.2 | 228 01.7 S23 14.9 | 244 15.6 S24 10.7 | 16 42.8 N14 48.1 | 227 44.3 S21 40.3
A
T 6 | 176 52.6 | 243 00.9 S23 14.4 | 259 15.9 S24 10.6 | 31 45.3 N14 48.2 | 242 46.5 S21 40.2
U 7 | 191 55.1 | 257 60.0 S23 14.0 | 274 16.3 S24 10.5 | 46 47.9 N14 48.2 | 257 48.6 S21 40.2
R 8 | 206 57.6 | 272 59.1 S23 13.5 | 289 16.7 S24 10.4 | 61 50.4 N14 48.2 | 272 50.8 S21 40.1
D 9 | 222 00.0 | 287 58.2 S23 13.1 | 304 17.0 S24 10.3 | 76 52.9 N14 48.3 | 287 53.0 S21 40.1
A 10 | 237 02.5 | 302 57.3 S23 12.6 | 319 17.4 S24 10.3 | 91 55.5 N14 48.3 | 302 55.1 S21 40.0
Y 11 | 252 05.0 | 317 56.4 S23 12.2 | 334 17.8 S24 10.2 | 106 58.0 N14 48.4 | 317 57.3 S21 40.0
12 | 267 07.4 | 332 55.6 S23 11.7 | 349 18.2 S24 10.1 | 122 00.6 N14 48.4 | 332 59.5 S21 40.0
13 | 282 09.9 | 347 54.7 S23 11.2 | 4 18.5 S24 10.0 | 137 03.1 N14 48.4 | 348 01.6 S21 39.9
14 | 297 12.3 | 2 53.8 S23 10.8 | 19 18.9 S24 09.9 | 152 05.6 N14 48.5 | 3 03.8 S21 39.9
15 | 312 14.8 | 17 52.9 S23 10.3 | 34 19.3 S24 09.8 | 167 08.2 N14 48.5 | 18 06.0 S21 39.8
16 | 327 17.3 | 32 52.0 S23 09.9 | 49 19.6 S24 09.7 | 182 10.7 N14 48.5 | 33 08.2 S21 39.8
17 | 342 19.7 | 47 51.2 S23 09.4 | 64 20.0 S24 09.6 | 197 13.2 N14 48.6 | 48 10.3 S21 39.7
18 | 357 22.2 | 62 50.3 S23 08.9 | 79 20.4 S24 09.5 | 212 15.8 N14 48.6 | 63 12.5 S21 39.7
19 | 12 24.7 | 77 49.4 S23 08.4 | 94 20.7 S24 09.4 | 227 18.3 N14 48.6 | 78 14.7 S21 39.7
20 | 27 27.1 | 92 48.5 S23 08.0 | 109 21.1 S24 09.3 | 242 20.9 N14 48.7 | 93 16.8 S21 39.6
21 | 42 29.6 | 107 47.7 S23 07.5 | 124 21.5 S24 09.3 | 257 23.4 N14 48.7 | 108 19.0 S21 39.6
22 | 57 32.1 | 122 46.8 S23 07.0 | 139 21.9 S24 09.2 | 272 26.0 N14 48.7 | 123 21.2 S21 39.5
23 | 72 34.5 | 137 45.9 S23 06.6 | 154 22.2 S24 09.1 | 287 28.5 N14 48.8 | 138 23.3 S21 39.5
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 87 37.0 | 152 45.0 S23 06.1 | 169 22.6 S24 09.0 | 302 31.0 N14 48.8 | 153 25.5 S21 39.5
1 | 102 39.4 | 167 44.1 S23 05.6 | 184 23.0 S24 08.9 | 317 33.6 N14 48.9 | 168 27.7 S21 39.4
2 | 117 41.9 | 182 43.3 S23 05.1 | 199 23.3 S24 08.8 | 332 36.1 N14 48.9 | 183 29.8 S21 39.4
3 | 132 44.4 | 197 42.4 S23 04.7 | 214 23.7 S24 08.7 | 347 38.7 N14 48.9 | 198 32.0 S21 39.3
4 | 147 46.8 | 212 41.5 S23 04.2 | 229 24.1 S24 08.6 | 2 41.2 N14 49.0 | 213 34.2 S21 39.3
S 5 | 162 49.3 | 227 40.7 S23 03.7 | 244 24.5 S24 08.5 | 17 43.8 N14 49.0 | 228 36.3 S21 39.2
U
N 6 | 177 51.8 | 242 39.8 S23 03.2 | 259 24.8 S24 08.4 | 32 46.3 N14 49.0 | 243 38.5 S21 39.2
D 7 | 192 54.2 | 257 38.9 S23 02.7 | 274 25.2 S24 08.3 | 47 48.9 N14 49.1 | 258 40.7 S21 39.2
A 8 | 207 56.7 | 272 38.0 S23 02.2 | 289 25.6 S24 08.2 | 62 51.4 N14 49.1 | 273 42.8 S21 39.1
Y 9 | 222 59.2 | 287 37.2 S23 01.8 | 304 25.9 S24 08.1 | 77 53.9 N14 49.2 | 288 45.0 S21 39.1
10 | 238 01.6 | 302 36.3 S23 01.3 | 319 26.3 S24 08.0 | 92 56.5 N14 49.2 | 303 47.2 S21 39.0
11 | 253 04.1 | 317 35.4 S23 00.8 | 334 26.7 S24 07.9 | 107 59.0 N14 49.2 | 318 49.4 S21 39.0
12 | 268 06.6 | 332 34.5 S23 00.3 | 349 27.0 S24 07.8 | 123 01.6 N14 49.3 | 333 51.5 S21 38.9
13 | 283 09.0 | 347 33.7 S22 59.8 | 4 27.4 S24 07.7 | 138 04.1 N14 49.3 | 348 53.7 S21 38.9
14 | 298 11.5 | 2 32.8 S22 59.3 | 19 27.8 S24 07.6 | 153 06.7 N14 49.4 | 3 55.9 S21 38.9
15 | 313 13.9 | 17 31.9 S22 58.8 | 34 28.2 S24 07.5 | 168 09.2 N14 49.4 | 18 58.0 S21 38.8
16 | 328 16.4 | 32 31.1 S22 58.3 | 49 28.5 S24 07.4 | 183 11.8 N14 49.4 | 34 00.2 S21 38.8
17 | 343 18.9 | 47 30.2 S22 57.8 | 64 28.9 S24 07.3 | 198 14.3 N14 49.5 | 49 02.4 S21 38.7
18 | 358 21.3 | 62 29.3 S22 57.3 | 79 29.3 S24 07.2 | 213 16.9 N14 49.5 | 64 04.5 S21 38.7
19 | 13 23.8 | 77 28.5 S22 56.8 | 94 29.6 S24 07.1 | 228 19.4 N14 49.5 | 79 06.7 S21 38.6
20 | 28 26.3 | 92 27.6 S22 56.3 | 109 30.0 S24 07.0 | 243 22.0 N14 49.6 | 94 08.9 S21 38.6
21 | 43 28.7 | 107 26.7 S22 55.8 | 124 30.4 S24 06.9 | 258 24.5 N14 49.6 | 109 11.0 S21 38.6
22 | 58 31.2 | 122 25.9 S22 55.3 | 139 30.7 S24 06.8 | 273 27.1 N14 49.7 | 124 13.2 S21 38.5
23 | 73 33.7 | 137 25.0 S22 54.8 | 154 31.1 S24 06.7 | 288 29.6 N14 49.7 | 139 15.4 S21 38.5
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.9 d 0.5 | v 0.4 d 0.1 | v 2.5 d 0.0 | v 2.2 d 0.0
1931 DEC. 18, 19, 20 (FRI, SAT, SUN)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 180 59.0 S23 21.6 | 79 52.3 17.4 N 2 58.5 14.1 54.2 | Acamar 316 04.3 S40 34.6
1 | 195 58.7 S23 21.7 | 94 28.7 17.4 N 3 12.5 14.0 54.2 | Achernar 336 11.7 S57 35.1
2 | 210 58.4 S23 21.8 | 109 05.1 17.4 N 3 26.6 14.0 54.2 | Acrux 174 18.7 S62 43.0
3 | 225 58.1 S23 21.9 | 123 41.5 17.4 N 3 40.6 14.0 54.2 | Adhara 256 00.4 S28 52.4
4 | 240 57.8 S23 22.0 | 138 17.8 17.4 N 3 54.6 14.0 54.2 | Albireo 68 00.7 N27 48.8
F 5 | 255 57.5 S23 22.0 | 152 54.2 17.4 N 4 08.6 14.0 54.2 |
R | | | Aldebaran 291 59.5 N16 22.8
I 6 | 270 57.1 S23 22.1 | 167 30.5 17.3 N 4 22.5 14.0 54.2 | Alioth 167 14.2 N56 19.4
D 7 | 285 56.8 S23 22.2 | 182 06.8 17.3 N 4 36.5 14.0 54.2 | Alkaid 153 47.1 N49 38.8
A 8 | 300 56.5 S23 22.3 | 196 43.1 17.3 N 4 50.4 13.9 54.2 | Al Na-ir 29 00.6 S47 17.8
Y 9 | 315 56.2 S23 22.4 | 211 19.4 17.3 N 5 04.4 13.9 54.2 | Alnilam 276 48.2 S 1 14.3
10 | 330 55.9 S23 22.5 | 225 55.7 17.3 N 5 18.3 13.9 54.2 |
11 | 345 55.6 S23 22.6 | 240 31.9 17.2 N 5 32.2 13.9 54.2 | Alphard 218 56.1 S 8 21.6
| | | Alphecca 127 03.2 N26 56.3
12 | 0 55.3 S23 22.7 | 255 08.2 17.2 N 5 46.0 13.9 54.2 | Alpheratz 358 47.1 N28 43.1
13 | 15 55.0 S23 22.7 | 269 44.4 17.2 N 5 59.9 13.9 54.2 | Altair 63 08.3 N 8 41.0
14 | 30 54.7 S23 22.8 | 284 20.5 17.2 N 6 13.7 13.8 54.2 | Ankaa 354 15.8 S42 40.7
15 | 45 54.4 S23 22.9 | 298 56.7 17.2 N 6 27.5 13.8 54.2 |
16 | 60 54.1 S23 23.0 | 313 32.8 17.1 N 6 41.3 13.8 54.2 | Antares 113 42.0 S26 17.2
17 | 75 53.8 S23 23.1 | 328 08.9 17.1 N 6 55.1 13.8 54.2 | Arcturus 146 51.8 N19 31.9
| | | Atria 109 39.8 S68 54.6
18 | 90 53.5 S23 23.2 | 342 45.0 17.1 N 7 08.8 13.7 54.2 | Avior 234 42.8 S59 17.1
19 | 105 53.2 S23 23.2 | 357 21.0 17.0 N 7 22.6 13.7 54.2 | Bellatrix 279 37.5 N 6 17.7
20 | 120 52.9 S23 23.3 | 11 57.0 17.0 N 7 36.3 13.7 54.2 |
21 | 135 52.5 S23 23.4 | 26 33.0 17.0 N 7 49.9 13.7 54.2 | Betelgeuse 272 07.4 N 7 24.1
22 | 150 52.2 S23 23.5 | 41 08.9 16.9 N 8 03.6 13.6 54.2 | Canopus 264 22.8 S52 39.2
23 | 165 51.9 S23 23.5 | 55 44.9 16.9 N 8 17.2 13.6 54.2 | Capella 282 04.7 N45 56.2
------+-------------------+----------------------------------| Castor 247 25.6 N32 02.6
19 0 | 180 51.6 S23 23.6 | 70 20.7 16.9 N 8 30.8 13.6 54.2 | Deneb 50 13.8 N45 02.2
1 | 195 51.3 S23 23.7 | 84 56.6 16.8 N 8 44.4 13.6 54.2 |
2 | 210 51.0 S23 23.8 | 99 32.4 16.8 N 8 57.9 13.5 54.2 | Denebola 183 36.1 N14 57.1
3 | 225 50.7 S23 23.8 | 114 08.1 16.8 N 9 11.4 13.5 54.2 | Diphda 349 57.2 S18 21.6
4 | 240 50.4 S23 23.9 | 128 43.8 16.7 N 9 24.9 13.5 54.3 | Dubhe 195 06.1 N62 06.9
S 5 | 255 50.1 S23 24.0 | 143 19.5 16.7 N 9 38.3 13.4 54.3 | Elnath 279 29.9 N28 33.4
A | | | Eltanin 91 15.2 N51 29.5
T 6 | 270 49.8 S23 24.0 | 157 55.1 16.6 N 9 51.8 13.4 54.3 |
U 7 | 285 49.5 S23 24.1 | 172 30.7 16.6 N10 05.1 13.4 54.3 | Enif 34 47.5 N 9 33.6
R 8 | 300 49.2 S23 24.2 | 187 06.3 16.5 N10 18.5 13.4 54.3 | Fomalhaut 16 31.5 S29 59.2
D 9 | 315 48.9 S23 24.3 | 201 41.8 16.5 N10 31.8 13.3 54.3 | Gacrux 173 09.9 S56 43.7
A 10 | 330 48.5 S23 24.3 | 216 17.2 16.5 N10 45.1 13.3 54.3 | Gienah 176 55.6 S17 09.7
Y 11 | 345 48.2 S23 24.4 | 230 52.6 16.4 N10 58.4 13.2 54.3 | Hadar 150 15.9 S60 02.7
| | |
12 | 0 47.9 S23 24.4 | 245 28.0 16.4 N11 11.6 13.2 54.3 | Hamal 329 10.0 N23 08.8
13 | 15 47.6 S23 24.5 | 260 03.3 16.3 N11 24.7 13.2 54.3 | Kaus Austr. 85 05.6 S34 25.5
14 | 30 47.3 S23 24.6 | 274 38.5 16.3 N11 37.9 13.1 54.3 | Kochab 137 17.8 N74 25.7
15 | 45 47.0 S23 24.6 | 289 13.7 16.2 N11 51.0 13.1 54.3 | Markab 14 39.6 N14 50.3
16 | 60 46.7 S23 24.7 | 303 48.9 16.1 N12 04.0 13.1 54.3 | Menkar 315 19.0 N 3 49.7
17 | 75 46.4 S23 24.8 | 318 24.0 16.1 N12 17.1 13.0 54.3 |
| | | Menkent 149 20.4 S36 02.2
18 | 90 46.1 S23 24.8 | 332 59.0 16.0 N12 30.1 13.0 54.3 | Miaplacidus 221 52.6 S69 25.8
19 | 105 45.8 S23 24.9 | 347 34.0 16.0 N12 43.0 12.9 54.4 | Mirfak 310 08.1 N49 37.7
20 | 120 45.5 S23 24.9 | 2 08.9 15.9 N12 55.9 12.9 54.4 | Nunki 77 14.6 S26 23.3
21 | 135 45.2 S23 25.0 | 16 43.8 15.9 N13 08.7 12.9 54.4 | Peacock 54 55.9 S56 57.8
22 | 150 44.8 S23 25.1 | 31 18.6 15.8 N13 21.6 12.8 54.4 |
23 | 165 44.5 S23 25.1 | 45 53.3 15.7 N13 34.3 12.8 54.4 | Polaris 339 45.2 N88 56.6
------+-------------------+----------------------------------| Pollux 244 42.2 N28 11.7
20 0 | 180 44.2 S23 25.2 | 60 28.0 15.7 N13 47.0 12.7 54.4 | Procyon 246 03.5 N 5 24.3
1 | 195 43.9 S23 25.2 | 75 02.6 15.6 N13 59.7 12.7 54.4 | Rasalhague 97 03.8 N12 36.3
2 | 210 43.6 S23 25.3 | 89 37.2 15.6 N14 12.3 12.6 54.4 | Regulus 208 48.5 N12 18.1
3 | 225 43.3 S23 25.3 | 104 11.7 15.5 N14 24.9 12.6 54.4 |
4 | 240 43.0 S23 25.4 | 118 46.1 15.4 N14 37.5 12.5 54.4 | Rigel 282 10.7 S 8 16.5
S 5 | 255 42.7 S23 25.4 | 133 20.5 15.4 N14 49.9 12.5 54.5 | Rigil Kent 141 16.6 S60 33.3
U | | | Sabik 103 23.3 S15 38.8
N 6 | 270 42.4 S23 25.5 | 147 54.7 15.3 N15 02.4 12.4 54.5 | Schedar 350 50.8 N56 10.2
D 7 | 285 42.1 S23 25.5 | 162 29.0 15.2 N15 14.7 12.4 54.5 | Shaula 97 45.7 S37 03.7
A 8 | 300 41.8 S23 25.6 | 177 03.1 15.1 N15 27.1 12.3 54.5 |
Y 9 | 315 41.4 S23 25.6 | 191 37.2 15.1 N15 39.3 12.3 54.5 | Sirius 259 27.4 S16 37.0
10 | 330 41.1 S23 25.7 | 206 11.2 15.0 N15 51.5 12.2 54.5 | Spica 159 36.1 S10 48.4
11 | 345 40.8 S23 25.7 | 220 45.1 14.9 N16 03.7 12.2 54.5 | Suhail 223 37.4 S43 09.1
| | | Vega 81 20.9 N38 43.0
12 | 0 40.5 S23 25.8 | 235 19.0 14.9 N16 15.8 12.1 54.5 | Zuben-ubi 138 12.2 S15 45.7
13 | 15 40.2 S23 25.8 | 249 52.8 14.8 N16 27.8 12.0 54.5 |
14 | 30 39.9 S23 25.9 | 264 26.5 14.7 N16 39.8 12.0 54.6 |
15 | 45 39.6 S23 25.9 | 279 00.1 14.6 N16 51.8 11.9 54.6 |
16 | 60 39.3 S23 25.9 | 293 33.6 14.6 N17 03.6 11.9 54.6 |
17 | 75 39.0 S23 26.0 | 308 07.1 14.5 N17 15.4 11.8 54.6 |
| | |
18 | 90 38.7 S23 26.0 | 322 40.5 14.4 N17 27.2 11.7 54.6 |
19 | 105 38.3 S23 26.1 | 337 13.8 14.3 N17 38.8 11.7 54.6 |
20 | 120 38.0 S23 26.1 | 351 47.1 14.2 N17 50.5 11.6 54.6 |
21 | 135 37.7 S23 26.1 | 6 20.2 14.2 N18 02.0 11.5 54.7 |
22 | 150 37.4 S23 26.2 | 20 53.3 14.1 N18 13.5 11.5 54.7 |
23 | 165 37.1 S23 26.2 | 35 26.3 14.0 N18 24.9 11.4 54.7 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 14.8 14.8 14.9 |
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