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2021 DEC. 15, 16, 17 (WED, THU, FRI)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
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
------+----------+-------------------+-------------------+-------------------+--------------------
16 0 | 84 51.3 | 146 25.0 S21 46.1 | 205 08.4 S20 29.1 | 114 40.1 S13 15.0 | 131 54.2 S18 27.2
1 | 99 53.8 | 161 27.2 S21 45.5 | 220 09.0 S20 29.4 | 129 42.1 S13 14.8 | 146 56.4 S18 27.2
2 | 114 56.3 | 176 29.4 S21 45.0 | 235 09.6 S20 29.8 | 144 44.2 S13 14.7 | 161 58.6 S18 27.1
3 | 129 58.7 | 191 31.6 S21 44.5 | 250 10.3 S20 30.2 | 159 46.3 S13 14.5 | 177 00.8 S18 27.0
4 | 145 01.2 | 206 33.8 S21 43.9 | 265 10.9 S20 30.6 | 174 48.3 S13 14.4 | 192 03.1 S18 27.0
T 5 | 160 03.7 | 221 36.1 S21 43.4 | 280 11.6 S20 31.0 | 189 50.4 S13 14.2 | 207 05.3 S18 26.9
H
U 6 | 175 06.1 | 236 38.3 S21 42.9 | 295 12.2 S20 31.3 | 204 52.5 S13 14.1 | 222 07.5 S18 26.8
R 7 | 190 08.6 | 251 40.5 S21 42.4 | 310 12.8 S20 31.7 | 219 54.5 S13 13.9 | 237 09.7 S18 26.8
S 8 | 205 11.1 | 266 42.7 S21 41.8 | 325 13.5 S20 32.1 | 234 56.6 S13 13.8 | 252 12.0 S18 26.7
D 9 | 220 13.5 | 281 45.0 S21 41.3 | 340 14.1 S20 32.4 | 249 58.7 S13 13.6 | 267 14.2 S18 26.7
A 10 | 235 16.0 | 296 47.2 S21 40.8 | 355 14.7 S20 32.8 | 265 00.7 S13 13.5 | 282 16.4 S18 26.6
Y 11 | 250 18.5 | 311 49.5 S21 40.2 | 10 15.4 S20 33.2 | 280 02.8 S13 13.3 | 297 18.6 S18 26.5
12 | 265 20.9 | 326 51.7 S21 39.7 | 25 16.0 S20 33.6 | 295 04.8 S13 13.2 | 312 20.8 S18 26.5
13 | 280 23.4 | 341 54.0 S21 39.2 | 40 16.7 S20 33.9 | 310 06.9 S13 13.0 | 327 23.1 S18 26.4
14 | 295 25.8 | 356 56.2 S21 38.7 | 55 17.3 S20 34.3 | 325 09.0 S13 12.9 | 342 25.3 S18 26.3
15 | 310 28.3 | 11 58.5 S21 38.1 | 70 17.9 S20 34.7 | 340 11.0 S13 12.7 | 357 27.5 S18 26.3
16 | 325 30.8 | 27 00.8 S21 37.6 | 85 18.6 S20 35.1 | 355 13.1 S13 12.6 | 12 29.7 S18 26.2
17 | 340 33.2 | 42 03.0 S21 37.1 | 100 19.2 S20 35.4 | 10 15.1 S13 12.4 | 27 32.0 S18 26.1
18 | 355 35.7 | 57 05.3 S21 36.5 | 115 19.8 S20 35.8 | 25 17.2 S13 12.3 | 42 34.2 S18 26.1
19 | 10 38.2 | 72 07.6 S21 36.0 | 130 20.5 S20 36.2 | 40 19.3 S13 12.1 | 57 36.4 S18 26.0
20 | 25 40.6 | 87 09.9 S21 35.5 | 145 21.1 S20 36.5 | 55 21.3 S13 12.0 | 72 38.6 S18 25.9
21 | 40 43.1 | 102 12.2 S21 35.0 | 160 21.7 S20 36.9 | 70 23.4 S13 11.8 | 87 40.8 S18 25.9
22 | 55 45.6 | 117 14.5 S21 34.4 | 175 22.4 S20 37.3 | 85 25.4 S13 11.7 | 102 43.1 S18 25.8
23 | 70 48.0 | 132 16.7 S21 33.9 | 190 23.0 S20 37.6 | 100 27.5 S13 11.5 | 117 45.3 S18 25.8
------+----------+-------------------+-------------------+-------------------+--------------------
17 0 | 85 50.5 | 147 19.1 S21 33.4 | 205 23.6 S20 38.0 | 115 29.6 S13 11.4 | 132 47.5 S18 25.7
1 | 100 53.0 | 162 21.4 S21 32.8 | 220 24.3 S20 38.4 | 130 31.6 S13 11.2 | 147 49.7 S18 25.6
2 | 115 55.4 | 177 23.7 S21 32.3 | 235 24.9 S20 38.8 | 145 33.7 S13 11.1 | 162 51.9 S18 25.6
3 | 130 57.9 | 192 26.0 S21 31.8 | 250 25.5 S20 39.1 | 160 35.7 S13 11.0 | 177 54.2 S18 25.5
4 | 146 00.3 | 207 28.3 S21 31.3 | 265 26.2 S20 39.5 | 175 37.8 S13 10.8 | 192 56.4 S18 25.4
F 5 | 161 02.8 | 222 30.6 S21 30.7 | 280 26.8 S20 39.9 | 190 39.9 S13 10.7 | 207 58.6 S18 25.4
R
I 6 | 176 05.3 | 237 33.0 S21 30.2 | 295 27.4 S20 40.2 | 205 41.9 S13 10.5 | 223 00.8 S18 25.3
D 7 | 191 07.7 | 252 35.3 S21 29.7 | 310 28.1 S20 40.6 | 220 44.0 S13 10.3 | 238 03.0 S18 25.2
A 8 | 206 10.2 | 267 37.6 S21 29.2 | 325 28.7 S20 41.0 | 235 46.0 S13 10.2 | 253 05.3 S18 25.2
Y 9 | 221 12.7 | 282 40.0 S21 28.6 | 340 29.3 S20 41.3 | 250 48.1 S13 10.0 | 268 07.5 S18 25.1
10 | 236 15.1 | 297 42.3 S21 28.1 | 355 30.0 S20 41.7 | 265 50.1 S13 09.9 | 283 09.7 S18 25.0
11 | 251 17.6 | 312 44.7 S21 27.6 | 10 30.6 S20 42.1 | 280 52.2 S13 09.7 | 298 11.9 S18 25.0
12 | 266 20.1 | 327 47.0 S21 27.0 | 25 31.2 S20 42.4 | 295 54.3 S13 09.6 | 313 14.1 S18 24.9
13 | 281 22.5 | 342 49.4 S21 26.5 | 40 31.9 S20 42.8 | 310 56.3 S13 09.4 | 328 16.4 S18 24.8
14 | 296 25.0 | 357 51.8 S21 26.0 | 55 32.5 S20 43.2 | 325 58.4 S13 09.3 | 343 18.6 S18 24.8
15 | 311 27.5 | 12 54.1 S21 25.5 | 70 33.1 S20 43.5 | 341 00.4 S13 09.1 | 358 20.8 S18 24.7
16 | 326 29.9 | 27 56.5 S21 24.9 | 85 33.7 S20 43.9 | 356 02.5 S13 09.0 | 13 23.0 S18 24.7
17 | 341 32.4 | 42 58.9 S21 24.4 | 100 34.4 S20 44.2 | 11 04.5 S13 08.8 | 28 25.2 S18 24.6
18 | 356 34.8 | 58 01.3 S21 23.9 | 115 35.0 S20 44.6 | 26 06.6 S13 08.7 | 43 27.5 S18 24.5
19 | 11 37.3 | 73 03.7 S21 23.4 | 130 35.6 S20 45.0 | 41 08.6 S13 08.5 | 58 29.7 S18 24.5
20 | 26 39.8 | 88 06.1 S21 22.8 | 145 36.3 S20 45.3 | 56 10.7 S13 08.4 | 73 31.9 S18 24.4
21 | 41 42.2 | 103 08.5 S21 22.3 | 160 36.9 S20 45.7 | 71 12.8 S13 08.2 | 88 34.1 S18 24.3
22 | 56 44.7 | 118 10.9 S21 21.8 | 175 37.5 S20 46.1 | 86 14.8 S13 08.1 | 103 36.3 S18 24.3
23 | 71 47.2 | 133 13.3 S21 21.3 | 190 38.1 S20 46.4 | 101 16.9 S13 07.9 | 118 38.6 S18 24.2
------+----------+-------------------+-------------------+-------------------+--------------------
| v 2.3 d 0.5 | v 0.6 d 0.4 | v 2.1 d 0.1 | v 2.2 d 0.1
2021 DEC. 15, 16, 17 (WED, THU, FRI)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
15 0 | 181 15.4 S23 15.8 | 47 37.3 15.4 N12 07.8 12.0 54.4 | Acamar 315 13.4 S40 13.2
1 | 196 15.1 S23 16.0 | 62 11.7 15.4 N12 19.7 11.9 54.4 | Achernar 335 21.8 S57 07.8
2 | 211 14.8 S23 16.1 | 76 46.0 15.3 N12 31.6 11.9 54.4 | Acrux 173 03.0 S63 12.8
3 | 226 14.5 S23 16.2 | 91 20.3 15.3 N12 43.4 11.8 54.4 | Adhara 255 07.5 S29 00.0
4 | 241 14.2 S23 16.4 | 105 54.6 15.3 N12 55.2 11.8 54.4 | Albireo 67 06.4 N28 00.4
W 5 | 256 13.9 S23 16.5 | 120 28.8 15.2 N13 06.9 11.7 54.4 |
E | | | Aldebaran 290 42.2 N16 33.2
D 6 | 271 13.6 S23 16.6 | 135 03.0 15.2 N13 18.6 11.7 54.4 | Alioth 166 15.4 N55 50.3
N 7 | 286 13.3 S23 16.7 | 149 37.2 15.2 N13 30.2 11.6 54.3 | Alkaid 152 54.3 N49 12.1
E 8 | 301 13.0 S23 16.9 | 164 11.3 15.1 N13 41.8 11.6 54.3 | Al Na-ir 27 36.3 S46 51.6
S 9 | 316 12.7 S23 17.0 | 178 45.4 15.1 N13 53.3 11.5 54.3 | Alnilam 275 39.9 S 1 11.3
D 10 | 331 12.4 S23 17.1 | 193 19.4 15.1 N14 04.7 11.4 54.3 |
A 11 | 346 12.1 S23 17.2 | 207 53.4 15.0 N14 16.1 11.4 54.3 | Alphard 217 50.0 S 8 45.1
Y | | | Alphecca 126 06.2 N26 38.4
12 | 1 11.8 S23 17.3 | 222 27.4 15.0 N14 27.4 11.3 54.3 | Alpheratz 357 37.3 N29 12.8
13 | 16 11.5 S23 17.5 | 237 01.3 14.9 N14 38.6 11.3 54.3 | Altair 62 02.7 N 8 55.6
14 | 31 11.2 S23 17.6 | 251 35.2 14.9 N14 49.8 11.2 54.3 | Ankaa 353 09.6 S42 11.6
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 | Antares 112 19.3 S26 28.7
17 | 76 10.3 S23 17.9 | 295 16.7 14.8 N15 23.1 11.0 54.2 | Arcturus 145 50.5 N19 04.1
| | | Atria 107 16.4 S69 03.9
18 | 91 10.0 S23 18.0 | 309 50.4 14.7 N15 34.0 10.9 54.2 | Avior 234 15.2 S59 34.5
19 | 106 09.7 S23 18.2 | 324 24.1 14.7 N15 44.9 10.9 54.2 | Bellatrix 278 25.2 N 6 22.2
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 | Betelgeuse 270 54.5 N 7 24.7
22 | 151 08.8 S23 18.5 | 8 04.9 14.6 N16 17.1 10.7 54.2 | Canopus 263 52.9 S52 42.4
23 | 166 08.5 S23 18.6 | 22 38.4 14.5 N16 27.7 10.6 54.2 | Capella 280 25.1 N46 01.2
------+-------------------+----------------------------------| Castor 245 59.9 N31 50.4
16 0 | 181 08.2 S23 18.7 | 37 11.8 14.5 N16 38.3 10.5 54.2 | Deneb 49 27.8 N45 21.6
1 | 196 07.9 S23 18.8 | 51 45.2 14.4 N16 48.7 10.5 54.2 |
2 | 211 07.6 S23 18.9 | 66 18.6 14.4 N16 59.1 10.4 54.2 | Denebola 182 27.5 N14 27.0
3 | 226 07.3 S23 19.1 | 80 51.9 14.3 N17 09.4 10.3 54.1 | Diphda 348 49.8 S17 52.1
4 | 241 07.0 S23 19.2 | 95 25.2 14.3 N17 19.7 10.3 54.1 | Dubhe 193 44.0 N61 37.7
T 5 | 256 06.7 S23 19.3 | 109 58.4 14.2 N17 29.9 10.2 54.1 | Elnath 278 04.7 N28 37.5
H | | | Eltanin 90 43.9 N51 29.1
U 6 | 271 06.4 S23 19.4 | 124 31.6 14.2 N17 40.0 10.1 54.1 |
R 7 | 286 06.1 S23 19.5 | 139 04.7 14.1 N17 50.0 10.0 54.1 | Enif 33 41.4 N 9 58.5
S 8 | 301 05.7 S23 19.6 | 153 37.8 14.1 N17 60.0 10.0 54.1 | Fomalhaut 15 17.4 S29 30.6
D 9 | 316 05.4 S23 19.7 | 168 10.8 14.0 N18 09.9 9.9 54.1 | Gacrux 171 54.6 S57 13.8
A 10 | 331 05.1 S23 19.8 | 182 43.8 14.0 N18 19.7 9.8 54.1 | Gienah 175 46.2 S17 39.6
Y 11 | 346 04.8 S23 19.9 | 197 16.7 13.9 N18 29.4 9.7 54.1 | Hadar 148 40.0 S60 28.4
| | |
12 | 1 04.5 S23 20.0 | 211 49.6 13.9 N18 39.1 9.7 54.1 | Hamal 327 53.8 N23 34.0
13 | 16 04.2 S23 20.1 | 226 22.4 13.8 N18 48.6 9.6 54.1 | Kaus Austr. 83 36.3 S34 22.5
14 | 31 03.9 S23 20.2 | 240 55.2 13.8 N18 58.1 9.5 54.1 | Kochab 137 20.9 N74 03.7
15 | 46 03.6 S23 20.3 | 255 27.9 13.7 N19 07.5 9.4 54.1 | Markab 13 32.5 N15 19.4
16 | 61 03.3 S23 20.4 | 270 00.6 13.7 N19 16.9 9.3 54.1 | Menkar 314 08.5 N 4 10.5
17 | 76 03.0 S23 20.5 | 284 33.2 13.6 N19 26.1 9.2 54.1 |
| | | Menkent 148 00.9 S36 28.5
18 | 91 02.7 S23 20.6 | 299 05.7 13.6 N19 35.3 9.2 54.0 | Miaplacidus 221 38.0 S69 48.1
19 | 106 02.4 S23 20.7 | 313 38.3 13.5 N19 44.4 9.1 54.0 | Mirfak 308 31.4 N49 56.4
20 | 121 02.1 S23 20.8 | 328 10.7 13.5 N19 53.4 9.0 54.0 | Nunki 75 51.3 S26 16.2
21 | 136 01.8 S23 20.9 | 342 43.1 13.4 N20 02.3 8.9 54.0 | Peacock 53 10.1 S56 40.1
22 | 151 01.5 S23 21.0 | 357 15.5 13.3 N20 11.1 8.8 54.0 |
23 | 166 01.2 S23 21.1 | 11 47.8 13.3 N20 19.8 8.7 54.0 | Polaris 316 56.9 N89 20.8
------+-------------------+----------------------------------| Pollux 243 20.1 N27 58.3
17 0 | 181 00.9 S23 21.1 | 26 20.0 13.2 N20 28.5 8.7 54.0 | Procyon 244 53.2 N 5 10.2
1 | 196 00.6 S23 21.2 | 40 52.2 13.2 N20 37.1 8.6 54.0 | Rasalhague 96 01.3 N12 32.7
2 | 211 00.3 S23 21.3 | 55 24.3 13.1 N20 45.5 8.5 54.0 | Regulus 207 37.0 N11 51.6
3 | 225 60.0 S23 21.4 | 69 56.4 13.1 N20 53.9 8.4 54.0 |
4 | 240 59.7 S23 21.5 | 84 28.4 13.0 N21 02.2 8.3 54.0 | Rigel 281 06.0 S 8 10.6
F 5 | 255 59.4 S23 21.6 | 99 00.4 13.0 N21 10.4 8.2 54.0 | Rigil Kent 139 44.4 S60 55.2
R | | | Sabik 102 06.1 S15 45.1
I 6 | 270 59.1 S23 21.7 | 113 32.3 12.9 N21 18.5 8.1 54.0 | Schedar 349 33.7 N56 39.6
D 7 | 285 58.8 S23 21.8 | 128 04.2 12.9 N21 26.6 8.0 54.0 | Shaula 96 14.2 S37 07.1
A 8 | 300 58.5 S23 21.8 | 142 36.0 12.8 N21 34.5 7.9 54.0 |
Y 9 | 315 58.2 S23 21.9 | 157 07.7 12.8 N21 42.3 7.8 54.0 | Sirius 258 28.1 S16 44.7
10 | 330 57.8 S23 22.0 | 171 39.4 12.7 N21 50.1 7.7 54.0 | Spica 158 25.1 S11 16.4
11 | 345 57.5 S23 22.1 | 186 11.1 12.6 N21 57.7 7.6 54.0 | Suhail 222 47.8 S43 31.0
| | | Vega 80 35.4 N38 48.3
12 | 0 57.2 S23 22.2 | 200 42.7 12.6 N22 05.2 7.5 54.0 | Zuben-ubi 136 59.9 S16 07.8
13 | 15 56.9 S23 22.3 | 215 14.2 12.5 N22 12.7 7.4 54.0 |
14 | 30 56.6 S23 22.3 | 229 45.7 12.5 N22 20.0 7.4 54.0 |
15 | 45 56.3 S23 22.4 | 244 17.1 12.4 N22 27.3 7.3 54.0 |
16 | 60 56.0 S23 22.5 | 258 48.5 12.4 N22 34.4 7.2 54.0 |
17 | 75 55.7 S23 22.6 | 273 19.8 12.3 N22 41.5 7.1 54.0 |
| | |
18 | 90 55.4 S23 22.7 | 287 51.1 12.3 N22 48.4 7.0 54.0 |
19 | 105 55.1 S23 22.7 | 302 22.3 12.2 N22 55.3 6.8 54.0 |
20 | 120 54.8 S23 22.8 | 316 53.5 12.2 N23 02.0 6.7 54.0 |
21 | 135 54.5 S23 22.9 | 331 24.6 12.1 N23 08.7 6.6 54.0 |
22 | 150 54.2 S23 23.0 | 345 55.6 12.1 N23 15.2 6.5 54.0 |
23 | 165 53.9 S23 23.0 | 0 26.6 12.0 N23 21.7 6.4 54.0 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 14.8 14.7 14.7 |