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2021 DEC. 13, 14, 15 (MON, TUE, WED)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
13 0 | 81 53.9 | 143 57.9 S22 24.1 | 204 21.8 S20 01.2 | 112 11.0 S13 25.4 | 129 13.8 S18 31.7
1 | 96 56.4 | 158 59.8 S22 23.5 | 219 22.5 S20 01.6 | 127 13.1 S13 25.3 | 144 16.1 S18 31.7
2 | 111 58.9 | 174 01.7 S22 23.0 | 234 23.1 S20 02.0 | 142 15.1 S13 25.1 | 159 18.3 S18 31.6
3 | 127 01.3 | 189 03.6 S22 22.5 | 249 23.8 S20 02.4 | 157 17.2 S13 25.0 | 174 20.5 S18 31.5
4 | 142 03.8 | 204 05.5 S22 22.0 | 264 24.4 S20 02.8 | 172 19.3 S13 24.8 | 189 22.8 S18 31.5
M 5 | 157 06.3 | 219 07.4 S22 21.4 | 279 25.1 S20 03.2 | 187 21.4 S13 24.7 | 204 25.0 S18 31.4
O
N 6 | 172 08.7 | 234 09.3 S22 20.9 | 294 25.7 S20 03.6 | 202 23.4 S13 24.6 | 219 27.2 S18 31.4
D 7 | 187 11.2 | 249 11.2 S22 20.4 | 309 26.4 S20 04.0 | 217 25.5 S13 24.4 | 234 29.4 S18 31.3
A 8 | 202 13.6 | 264 13.1 S22 19.9 | 324 27.0 S20 04.4 | 232 27.6 S13 24.3 | 249 31.7 S18 31.2
Y 9 | 217 16.1 | 279 15.1 S22 19.3 | 339 27.7 S20 04.8 | 247 29.7 S13 24.1 | 264 33.9 S18 31.2
10 | 232 18.6 | 294 17.0 S22 18.8 | 354 28.3 S20 05.2 | 262 31.8 S13 24.0 | 279 36.1 S18 31.1
11 | 247 21.0 | 309 18.9 S22 18.3 | 9 29.0 S20 05.6 | 277 33.8 S13 23.8 | 294 38.4 S18 31.1
12 | 262 23.5 | 324 20.9 S22 17.7 | 24 29.6 S20 06.0 | 292 35.9 S13 23.7 | 309 40.6 S18 31.0
13 | 277 26.0 | 339 22.8 S22 17.2 | 39 30.3 S20 06.3 | 307 38.0 S13 23.6 | 324 42.8 S18 30.9
14 | 292 28.4 | 354 24.8 S22 16.7 | 54 30.9 S20 06.7 | 322 40.1 S13 23.4 | 339 45.0 S18 30.9
15 | 307 30.9 | 9 26.7 S22 16.2 | 69 31.6 S20 07.1 | 337 42.1 S13 23.3 | 354 47.3 S18 30.8
16 | 322 33.4 | 24 28.7 S22 15.6 | 84 32.2 S20 07.5 | 352 44.2 S13 23.1 | 9 49.5 S18 30.7
17 | 337 35.8 | 39 30.6 S22 15.1 | 99 32.9 S20 07.9 | 7 46.3 S13 23.0 | 24 51.7 S18 30.7
18 | 352 38.3 | 54 32.6 S22 14.6 | 114 33.5 S20 08.3 | 22 48.4 S13 22.8 | 39 54.0 S18 30.6
19 | 7 40.8 | 69 34.6 S22 14.1 | 129 34.2 S20 08.7 | 37 50.4 S13 22.7 | 54 56.2 S18 30.6
20 | 22 43.2 | 84 36.5 S22 13.5 | 144 34.8 S20 09.1 | 52 52.5 S13 22.5 | 69 58.4 S18 30.5
21 | 37 45.7 | 99 38.5 S22 13.0 | 159 35.5 S20 09.5 | 67 54.6 S13 22.4 | 85 00.7 S18 30.4
22 | 52 48.1 | 114 40.5 S22 12.5 | 174 36.1 S20 09.9 | 82 56.7 S13 22.3 | 100 02.9 S18 30.4
23 | 67 50.6 | 129 42.5 S22 11.9 | 189 36.8 S20 10.3 | 97 58.7 S13 22.1 | 115 05.1 S18 30.3
------+----------+-------------------+-------------------+-------------------+--------------------
14 0 | 82 53.1 | 144 44.5 S22 11.4 | 204 37.4 S20 10.7 | 113 00.8 S13 22.0 | 130 07.3 S18 30.2
1 | 97 55.5 | 159 46.4 S22 10.9 | 219 38.1 S20 11.1 | 128 02.9 S13 21.8 | 145 09.6 S18 30.2
2 | 112 58.0 | 174 48.4 S22 10.4 | 234 38.7 S20 11.4 | 143 04.9 S13 21.7 | 160 11.8 S18 30.1
3 | 128 00.5 | 189 50.5 S22 09.8 | 249 39.4 S20 11.8 | 158 07.0 S13 21.5 | 175 14.0 S18 30.1
4 | 143 02.9 | 204 52.5 S22 09.3 | 264 40.0 S20 12.2 | 173 09.1 S13 21.4 | 190 16.2 S18 30.0
T 5 | 158 05.4 | 219 54.5 S22 08.8 | 279 40.7 S20 12.6 | 188 11.2 S13 21.3 | 205 18.5 S18 29.9
U
E 6 | 173 07.9 | 234 56.5 S22 08.2 | 294 41.3 S20 13.0 | 203 13.2 S13 21.1 | 220 20.7 S18 29.9
S 7 | 188 10.3 | 249 58.5 S22 07.7 | 309 42.0 S20 13.4 | 218 15.3 S13 21.0 | 235 22.9 S18 29.8
D 8 | 203 12.8 | 265 00.5 S22 07.2 | 324 42.6 S20 13.8 | 233 17.4 S13 20.8 | 250 25.2 S18 29.7
A 9 | 218 15.2 | 280 02.6 S22 06.7 | 339 43.3 S20 14.2 | 248 19.4 S13 20.7 | 265 27.4 S18 29.7
Y 10 | 233 17.7 | 295 04.6 S22 06.1 | 354 43.9 S20 14.6 | 263 21.5 S13 20.5 | 280 29.6 S18 29.6
11 | 248 20.2 | 310 06.6 S22 05.6 | 9 44.6 S20 14.9 | 278 23.6 S13 20.4 | 295 31.8 S18 29.6
12 | 263 22.6 | 325 08.7 S22 05.1 | 24 45.2 S20 15.3 | 293 25.7 S13 20.2 | 310 34.1 S18 29.5
13 | 278 25.1 | 340 10.7 S22 04.5 | 39 45.9 S20 15.7 | 308 27.7 S13 20.1 | 325 36.3 S18 29.4
14 | 293 27.6 | 355 12.8 S22 04.0 | 54 46.5 S20 16.1 | 323 29.8 S13 19.9 | 340 38.5 S18 29.4
15 | 308 30.0 | 10 14.8 S22 03.5 | 69 47.2 S20 16.5 | 338 31.9 S13 19.8 | 355 40.7 S18 29.3
16 | 323 32.5 | 25 16.9 S22 03.0 | 84 47.8 S20 16.9 | 353 33.9 S13 19.7 | 10 43.0 S18 29.2
17 | 338 35.0 | 40 18.9 S22 02.4 | 99 48.5 S20 17.3 | 8 36.0 S13 19.5 | 25 45.2 S18 29.2
18 | 353 37.4 | 55 21.0 S22 01.9 | 114 49.1 S20 17.6 | 23 38.1 S13 19.4 | 40 47.4 S18 29.1
19 | 8 39.9 | 70 23.1 S22 01.4 | 129 49.7 S20 18.0 | 38 40.2 S13 19.2 | 55 49.7 S18 29.1
20 | 23 42.4 | 85 25.1 S22 00.9 | 144 50.4 S20 18.4 | 53 42.2 S13 19.1 | 70 51.9 S18 29.0
21 | 38 44.8 | 100 27.2 S22 00.3 | 159 51.0 S20 18.8 | 68 44.3 S13 18.9 | 85 54.1 S18 28.9
22 | 53 47.3 | 115 29.3 S21 59.8 | 174 51.7 S20 19.2 | 83 46.4 S13 18.8 | 100 56.3 S18 28.9
23 | 68 49.7 | 130 31.4 S21 59.3 | 189 52.3 S20 19.6 | 98 48.4 S13 18.6 | 115 58.6 S18 28.8
------+----------+-------------------+-------------------+-------------------+--------------------
15 0 | 83 52.2 | 145 33.5 S21 58.7 | 204 53.0 S20 20.0 | 113 50.5 S13 18.5 | 131 00.8 S18 28.7
1 | 98 54.7 | 160 35.6 S21 58.2 | 219 53.6 S20 20.3 | 128 52.6 S13 18.3 | 146 03.0 S18 28.7
2 | 113 57.1 | 175 37.7 S21 57.7 | 234 54.3 S20 20.7 | 143 54.6 S13 18.2 | 161 05.2 S18 28.6
3 | 128 59.6 | 190 39.8 S21 57.2 | 249 54.9 S20 21.1 | 158 56.7 S13 18.1 | 176 07.5 S18 28.6
4 | 144 02.1 | 205 41.9 S21 56.6 | 264 55.5 S20 21.5 | 173 58.8 S13 17.9 | 191 09.7 S18 28.5
W 5 | 159 04.5 | 220 44.0 S21 56.1 | 279 56.2 S20 21.9 | 189 00.8 S13 17.8 | 206 11.9 S18 28.4
E
D 6 | 174 07.0 | 235 46.1 S21 55.6 | 294 56.8 S20 22.2 | 204 02.9 S13 17.6 | 221 14.1 S18 28.4
N 7 | 189 09.5 | 250 48.2 S21 55.0 | 309 57.5 S20 22.6 | 219 05.0 S13 17.5 | 236 16.4 S18 28.3
E 8 | 204 11.9 | 265 50.4 S21 54.5 | 324 58.1 S20 23.0 | 234 07.0 S13 17.3 | 251 18.6 S18 28.2
S 9 | 219 14.4 | 280 52.5 S21 54.0 | 339 58.8 S20 23.4 | 249 09.1 S13 17.2 | 266 20.8 S18 28.2
D 10 | 234 16.9 | 295 54.6 S21 53.5 | 354 59.4 S20 23.8 | 264 11.2 S13 17.0 | 281 23.0 S18 28.1
A 11 | 249 19.3 | 310 56.8 S21 52.9 | 10 00.0 S20 24.2 | 279 13.2 S13 16.9 | 296 25.3 S18 28.1
Y
12 | 264 21.8 | 325 58.9 S21 52.4 | 25 00.7 S20 24.5 | 294 15.3 S13 16.7 | 311 27.5 S18 28.0
13 | 279 24.2 | 341 01.1 S21 51.9 | 40 01.3 S20 24.9 | 309 17.4 S13 16.6 | 326 29.7 S18 27.9
14 | 294 26.7 | 356 03.2 S21 51.3 | 55 02.0 S20 25.3 | 324 19.4 S13 16.4 | 341 31.9 S18 27.9
15 | 309 29.2 | 11 05.4 S21 50.8 | 70 02.6 S20 25.7 | 339 21.5 S13 16.3 | 356 34.2 S18 27.8
16 | 324 31.6 | 26 07.5 S21 50.3 | 85 03.2 S20 26.1 | 354 23.6 S13 16.2 | 11 36.4 S18 27.7
17 | 339 34.1 | 41 09.7 S21 49.8 | 100 03.9 S20 26.4 | 9 25.6 S13 16.0 | 26 38.6 S18 27.7
18 | 354 36.6 | 56 11.9 S21 49.2 | 115 04.5 S20 26.8 | 24 27.7 S13 15.9 | 41 40.8 S18 27.6
19 | 9 39.0 | 71 14.1 S21 48.7 | 130 05.2 S20 27.2 | 39 29.8 S13 15.7 | 56 43.1 S18 27.5
20 | 24 41.5 | 86 16.2 S21 48.2 | 145 05.8 S20 27.6 | 54 31.8 S13 15.6 | 71 45.3 S18 27.5
21 | 39 44.0 | 101 18.4 S21 47.6 | 160 06.4 S20 27.9 | 69 33.9 S13 15.4 | 86 47.5 S18 27.4
22 | 54 46.4 | 116 20.6 S21 47.1 | 175 07.1 S20 28.3 | 84 36.0 S13 15.3 | 101 49.7 S18 27.4
23 | 69 48.9 | 131 22.8 S21 46.6 | 190 07.7 S20 28.7 | 99 38.0 S13 15.1 | 116 51.9 S18 27.3
------+----------+-------------------+-------------------+-------------------+--------------------
| v 2.0 d 0.5 | v 0.6 d 0.4 | v 2.1 d 0.1 | v 2.2 d 0.1
2021 DEC. 13, 14, 15 (MON, TUE, WED)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
13 0 | 181 29.6 S23 08.7 | 67 48.1 15.8 N 1 46.4 13.7 55.3 | Acamar 315 13.3 S40 13.2
1 | 196 29.3 S23 08.8 | 82 22.9 15.8 N 2 00.1 13.6 55.3 | Achernar 335 21.8 S57 07.8
2 | 211 29.0 S23 09.0 | 96 57.7 15.8 N 2 13.7 13.6 55.3 | Acrux 173 03.1 S63 12.8
3 | 226 28.8 S23 09.2 | 111 32.6 15.8 N 2 27.3 13.6 55.3 | Adhara 255 07.5 S29 00.0
4 | 241 28.5 S23 09.3 | 126 07.4 15.8 N 2 40.9 13.6 55.2 | Albireo 67 06.4 N28 00.4
M 5 | 256 28.2 S23 09.5 | 140 42.3 15.9 N 2 54.5 13.6 55.2 |
O | | | Aldebaran 290 42.2 N16 33.2
N 6 | 271 27.9 S23 09.7 | 155 17.1 15.9 N 3 08.0 13.5 55.2 | Alioth 166 15.4 N55 50.3
D 7 | 286 27.6 S23 09.8 | 169 52.0 15.9 N 3 21.5 13.5 55.2 | Alkaid 152 54.3 N49 12.1
A 8 | 301 27.3 S23 10.0 | 184 26.9 15.9 N 3 35.0 13.5 55.2 | Al Na-ir 27 36.3 S46 51.6
Y 9 | 316 27.0 S23 10.2 | 199 01.8 15.9 N 3 48.5 13.5 55.1 | Alnilam 275 39.9 S 1 11.3
10 | 331 26.7 S23 10.3 | 213 36.7 15.9 N 4 01.9 13.4 55.1 |
11 | 346 26.4 S23 10.5 | 228 11.6 15.9 N 4 15.4 13.4 55.1 | Alphard 217 50.0 S 8 45.1
| | | Alphecca 126 06.2 N26 38.4
12 | 1 26.1 S23 10.6 | 242 46.5 15.9 N 4 28.8 13.4 55.1 | Alpheratz 357 37.3 N29 12.8
13 | 16 25.8 S23 10.8 | 257 21.4 15.9 N 4 42.1 13.4 55.0 | Altair 62 02.7 N 8 55.6
14 | 31 25.5 S23 11.0 | 271 56.3 15.9 N 4 55.5 13.3 55.0 | Ankaa 353 09.6 S42 11.5
15 | 46 25.2 S23 11.1 | 286 31.3 15.9 N 5 08.8 13.3 55.0 |
16 | 61 24.9 S23 11.3 | 301 06.2 15.9 N 5 22.1 13.3 55.0 | Antares 112 19.3 S26 28.7
17 | 76 24.6 S23 11.4 | 315 41.1 15.9 N 5 35.3 13.3 55.0 | Arcturus 145 50.5 N19 04.1
| | | Atria 107 16.5 S69 03.9
18 | 91 24.3 S23 11.6 | 330 16.0 15.9 N 5 48.5 13.2 54.9 | Avior 234 15.2 S59 34.5
19 | 106 24.0 S23 11.7 | 344 50.9 15.9 N 6 01.7 13.2 54.9 | Bellatrix 278 25.3 N 6 22.2
20 | 121 23.7 S23 11.9 | 359 25.8 15.9 N 6 14.9 13.2 54.9 |
21 | 136 23.4 S23 12.0 | 14 00.7 15.9 N 6 28.0 13.1 54.9 | Betelgeuse 270 54.5 N 7 24.7
22 | 151 23.1 S23 12.2 | 28 35.6 15.9 N 6 41.1 13.1 54.9 | Canopus 263 52.9 S52 42.3
23 | 166 22.8 S23 12.3 | 43 10.5 15.9 N 6 54.2 13.1 54.8 | Capella 280 25.1 N46 01.2
------+-------------------+----------------------------------| Castor 245 59.9 N31 50.4
14 0 | 181 22.5 S23 12.5 | 57 45.3 15.9 N 7 07.2 13.0 54.8 | Deneb 49 27.8 N45 21.6
1 | 196 22.3 S23 12.6 | 72 20.2 15.9 N 7 20.2 13.0 54.8 |
2 | 211 22.0 S23 12.8 | 86 55.1 15.9 N 7 33.2 13.0 54.8 | Denebola 182 27.6 N14 27.0
3 | 226 21.7 S23 12.9 | 101 29.9 15.8 N 7 46.1 12.9 54.8 | Diphda 348 49.8 S17 52.1
4 | 241 21.4 S23 13.1 | 116 04.7 15.8 N 7 59.0 12.9 54.7 | Dubhe 193 44.1 N61 37.7
T 5 | 256 21.1 S23 13.2 | 130 39.5 15.8 N 8 11.8 12.8 54.7 | Elnath 278 04.7 N28 37.5
U | | | Eltanin 90 43.9 N51 29.1
E 6 | 271 20.8 S23 13.4 | 145 14.3 15.8 N 8 24.6 12.8 54.7 |
S 7 | 286 20.5 S23 13.5 | 159 49.1 15.8 N 8 37.4 12.8 54.7 | Enif 33 41.4 N 9 58.5
D 8 | 301 20.2 S23 13.7 | 174 23.9 15.8 N 8 50.1 12.7 54.7 | Fomalhaut 15 17.4 S29 30.6
A 9 | 316 19.9 S23 13.8 | 188 58.7 15.8 N 9 02.8 12.7 54.7 | Gacrux 171 54.6 S57 13.8
Y 10 | 331 19.6 S23 13.9 | 203 33.4 15.7 N 9 15.5 12.6 54.6 | Gienah 175 46.3 S17 39.6
11 | 346 19.3 S23 14.1 | 218 08.1 15.7 N 9 28.1 12.6 54.6 | Hadar 148 40.0 S60 28.4
| | |
12 | 1 19.0 S23 14.2 | 232 42.8 15.7 N 9 40.6 12.6 54.6 | Hamal 327 53.8 N23 34.0
13 | 16 18.7 S23 14.4 | 247 17.5 15.7 N 9 53.1 12.5 54.6 | Kaus Austr. 83 36.3 S34 22.5
14 | 31 18.4 S23 14.5 | 261 52.1 15.7 N10 05.6 12.5 54.6 | Kochab 137 20.9 N74 03.8
15 | 46 18.1 S23 14.6 | 276 26.8 15.6 N10 18.0 12.4 54.6 | Markab 13 32.5 N15 19.4
16 | 61 17.8 S23 14.8 | 291 01.4 15.6 N10 30.4 12.4 54.6 | Menkar 314 08.5 N 4 10.5
17 | 76 17.5 S23 14.9 | 305 36.0 15.6 N10 42.8 12.3 54.5 |
| | | Menkent 148 00.9 S36 28.5
18 | 91 17.2 S23 15.0 | 320 10.5 15.6 N10 55.1 12.3 54.5 | Miaplacidus 221 38.1 S69 48.1
19 | 106 16.9 S23 15.2 | 334 45.1 15.5 N11 07.3 12.2 54.5 | Mirfak 308 31.4 N49 56.4
20 | 121 16.6 S23 15.3 | 349 19.6 15.5 N11 19.5 12.2 54.5 | Nunki 75 51.3 S26 16.2
21 | 136 16.3 S23 15.4 | 3 54.0 15.5 N11 31.6 12.1 54.5 | Peacock 53 10.1 S56 40.1
22 | 151 16.0 S23 15.6 | 18 28.5 15.5 N11 43.7 12.1 54.5 |
23 | 166 15.7 S23 15.7 | 33 02.9 15.4 N11 55.8 12.0 54.4 | Polaris 316 56.5 N89 20.8
------+-------------------+----------------------------------| Pollux 243 20.1 N27 58.3
15 0 | 181 15.4 S23 15.8 | 47 37.3 15.4 N12 07.8 12.0 54.4 | Procyon 244 53.2 N 5 10.2
1 | 196 15.1 S23 16.0 | 62 11.7 15.4 N12 19.7 11.9 54.4 | Rasalhague 96 01.3 N12 32.7
2 | 211 14.8 S23 16.1 | 76 46.0 15.3 N12 31.6 11.9 54.4 | Regulus 207 37.0 N11 51.6
3 | 226 14.5 S23 16.2 | 91 20.3 15.3 N12 43.4 11.8 54.4 |
4 | 241 14.2 S23 16.4 | 105 54.6 15.3 N12 55.2 11.8 54.4 | Rigel 281 06.0 S 8 10.6
W 5 | 256 13.9 S23 16.5 | 120 28.8 15.2 N13 06.9 11.7 54.4 | Rigil Kent 139 44.4 S60 55.2
E | | | Sabik 102 06.1 S15 45.1
D 6 | 271 13.6 S23 16.6 | 135 03.0 15.2 N13 18.6 11.7 54.4 | Schedar 349 33.7 N56 39.6
N 7 | 286 13.3 S23 16.7 | 149 37.2 15.2 N13 30.2 11.6 54.3 | Shaula 96 14.2 S37 07.1
E 8 | 301 13.0 S23 16.9 | 164 11.3 15.1 N13 41.8 11.6 54.3 |
S 9 | 316 12.7 S23 17.0 | 178 45.4 15.1 N13 53.3 11.5 54.3 | Sirius 258 28.1 S16 44.7
D 10 | 331 12.4 S23 17.1 | 193 19.4 15.1 N14 04.7 11.4 54.3 | Spica 158 25.1 S11 16.4
A 11 | 346 12.1 S23 17.2 | 207 53.4 15.0 N14 16.1 11.4 54.3 | Suhail 222 47.9 S43 31.0
Y | | | Vega 80 35.4 N38 48.3
12 | 1 11.8 S23 17.3 | 222 27.4 15.0 N14 27.4 11.3 54.3 | Zuben-ubi 136 59.9 S16 07.8
13 | 16 11.5 S23 17.5 | 237 01.3 14.9 N14 38.6 11.3 54.3 |
14 | 31 11.2 S23 17.6 | 251 35.2 14.9 N14 49.8 11.2 54.3 |
15 | 46 10.9 S23 17.7 | 266 09.1 14.9 N15 01.0 11.1 54.3 |
16 | 61 10.6 S23 17.8 | 280 42.9 14.8 N15 12.0 11.1 54.2 |
17 | 76 10.3 S23 17.9 | 295 16.7 14.8 N15 23.1 11.0 54.2 |
| | |
18 | 91 10.0 S23 18.0 | 309 50.4 14.7 N15 34.0 10.9 54.2 |
19 | 106 09.7 S23 18.2 | 324 24.1 14.7 N15 44.9 10.9 54.2 |
20 | 121 09.4 S23 18.3 | 338 57.7 14.6 N15 55.7 10.8 54.2 |
21 | 136 09.1 S23 18.4 | 353 31.3 14.6 N16 06.4 10.7 54.2 |
22 | 151 08.8 S23 18.5 | 8 04.9 14.6 N16 17.1 10.7 54.2 |
23 | 166 08.5 S23 18.6 | 22 38.4 14.5 N16 27.7 10.6 54.2 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 15.0 14.9 14.8 |