
2021 DEC. 20, 21, 22 (MON, TUE, WED)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 88 47.9 | 150 16.8 S20 55.6 | 206 08.7 S21 03.8 | 117 57.3 S13 00.4 | 135 27.2 S18 21.0
1 | 103 50.4 | 165 19.5 S20 55.1 | 221 09.3 S21 04.1 | 132 59.4 S13 00.3 | 150 29.4 S18 20.9
2 | 118 52.8 | 180 22.1 S20 54.5 | 236 09.9 S21 04.5 | 148 01.4 S13 00.1 | 165 31.6 S18 20.8
3 | 133 55.3 | 195 24.8 S20 54.0 | 251 10.5 S21 04.8 | 163 03.5 S12 60.0 | 180 33.8 S18 20.8
4 | 148 57.8 | 210 27.4 S20 53.5 | 266 11.2 S21 05.2 | 178 05.5 S12 59.8 | 195 36.0 S18 20.7
M 5 | 164 00.2 | 225 30.1 S20 53.0 | 281 11.8 S21 05.5 | 193 07.5 S12 59.6 | 210 38.2 S18 20.6
O
N 6 | 179 02.7 | 240 32.7 S20 52.5 | 296 12.4 S21 05.9 | 208 09.6 S12 59.5 | 225 40.4 S18 20.6
D 7 | 194 05.2 | 255 35.4 S20 51.9 | 311 13.0 S21 06.2 | 223 11.6 S12 59.3 | 240 42.7 S18 20.5
A 8 | 209 07.6 | 270 38.1 S20 51.4 | 326 13.6 S21 06.6 | 238 13.7 S12 59.2 | 255 44.9 S18 20.4
Y 9 | 224 10.1 | 285 40.7 S20 50.9 | 341 14.2 S21 06.9 | 253 15.7 S12 59.0 | 270 47.1 S18 20.4
10 | 239 12.6 | 300 43.4 S20 50.4 | 356 14.9 S21 07.2 | 268 17.8 S12 58.9 | 285 49.3 S18 20.3
11 | 254 15.0 | 315 46.1 S20 49.9 | 11 15.5 S21 07.6 | 283 19.8 S12 58.7 | 300 51.5 S18 20.2
12 | 269 17.5 | 330 48.8 S20 49.3 | 26 16.1 S21 07.9 | 298 21.9 S12 58.5 | 315 53.7 S18 20.2
13 | 284 19.9 | 345 51.5 S20 48.8 | 41 16.7 S21 08.3 | 313 23.9 S12 58.4 | 330 55.9 S18 20.1
14 | 299 22.4 | 0 54.2 S20 48.3 | 56 17.3 S21 08.6 | 328 25.9 S12 58.2 | 345 58.1 S18 20.0
15 | 314 24.9 | 15 56.9 S20 47.8 | 71 17.9 S21 09.0 | 343 28.0 S12 58.1 | 1 00.4 S18 20.0
16 | 329 27.3 | 30 59.6 S20 47.3 | 86 18.6 S21 09.3 | 358 30.0 S12 57.9 | 16 02.6 S18 19.9
17 | 344 29.8 | 46 02.3 S20 46.8 | 101 19.2 S21 09.6 | 13 32.1 S12 57.8 | 31 04.8 S18 19.8
18 | 359 32.3 | 61 05.0 S20 46.2 | 116 19.8 S21 10.0 | 28 34.1 S12 57.6 | 46 07.0 S18 19.8
19 | 14 34.7 | 76 07.7 S20 45.7 | 131 20.4 S21 10.3 | 43 36.2 S12 57.5 | 61 09.2 S18 19.7
20 | 29 37.2 | 91 10.5 S20 45.2 | 146 21.0 S21 10.7 | 58 38.2 S12 57.3 | 76 11.4 S18 19.6
21 | 44 39.7 | 106 13.2 S20 44.7 | 161 21.6 S21 11.0 | 73 40.2 S12 57.1 | 91 13.6 S18 19.6
22 | 59 42.1 | 121 15.9 S20 44.2 | 176 22.2 S21 11.4 | 88 42.3 S12 57.0 | 106 15.8 S18 19.5
23 | 74 44.6 | 136 18.7 S20 43.6 | 191 22.8 S21 11.7 | 103 44.3 S12 56.8 | 121 18.1 S18 19.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 47.1 | 151 21.4 S20 43.1 | 206 23.5 S21 12.0 | 118 46.4 S12 56.7 | 136 20.3 S18 19.4
1 | 104 49.5 | 166 24.2 S20 42.6 | 221 24.1 S21 12.4 | 133 48.4 S12 56.5 | 151 22.5 S18 19.3
2 | 119 52.0 | 181 26.9 S20 42.1 | 236 24.7 S21 12.7 | 148 50.4 S12 56.4 | 166 24.7 S18 19.2
3 | 134 54.4 | 196 29.7 S20 41.6 | 251 25.3 S21 13.0 | 163 52.5 S12 56.2 | 181 26.9 S18 19.2
4 | 149 56.9 | 211 32.4 S20 41.1 | 266 25.9 S21 13.4 | 178 54.5 S12 56.0 | 196 29.1 S18 19.1
T 5 | 164 59.4 | 226 35.2 S20 40.5 | 281 26.5 S21 13.7 | 193 56.6 S12 55.9 | 211 31.3 S18 19.0
U
E 6 | 180 01.8 | 241 38.0 S20 40.0 | 296 27.1 S21 14.1 | 208 58.6 S12 55.7 | 226 33.5 S18 19.0
S 7 | 195 04.3 | 256 40.7 S20 39.5 | 311 27.7 S21 14.4 | 224 00.7 S12 55.6 | 241 35.7 S18 18.9
D 8 | 210 06.8 | 271 43.5 S20 39.0 | 326 28.4 S21 14.7 | 239 02.7 S12 55.4 | 256 38.0 S18 18.8
A 9 | 225 09.2 | 286 46.3 S20 38.5 | 341 29.0 S21 15.1 | 254 04.7 S12 55.3 | 271 40.2 S18 18.8
Y 10 | 240 11.7 | 301 49.1 S20 38.0 | 356 29.6 S21 15.4 | 269 06.8 S12 55.1 | 286 42.4 S18 18.7
11 | 255 14.2 | 316 51.9 S20 37.4 | 11 30.2 S21 15.7 | 284 08.8 S12 54.9 | 301 44.6 S18 18.6
12 | 270 16.6 | 331 54.7 S20 36.9 | 26 30.8 S21 16.1 | 299 10.8 S12 54.8 | 316 46.8 S18 18.5
13 | 285 19.1 | 346 57.5 S20 36.4 | 41 31.4 S21 16.4 | 314 12.9 S12 54.6 | 331 49.0 S18 18.5
14 | 300 21.6 | 2 00.3 S20 35.9 | 56 32.0 S21 16.7 | 329 14.9 S12 54.5 | 346 51.2 S18 18.4
15 | 315 24.0 | 17 03.1 S20 35.4 | 71 32.6 S21 17.1 | 344 17.0 S12 54.3 | 1 53.4 S18 18.3
16 | 330 26.5 | 32 05.9 S20 34.9 | 86 33.2 S21 17.4 | 359 19.0 S12 54.1 | 16 55.6 S18 18.3
17 | 345 28.9 | 47 08.8 S20 34.4 | 101 33.9 S21 17.8 | 14 21.0 S12 54.0 | 31 57.9 S18 18.2
18 | 0 31.4 | 62 11.6 S20 33.8 | 116 34.5 S21 18.1 | 29 23.1 S12 53.8 | 47 00.1 S18 18.1
19 | 15 33.9 | 77 14.4 S20 33.3 | 131 35.1 S21 18.4 | 44 25.1 S12 53.7 | 62 02.3 S18 18.1
20 | 30 36.3 | 92 17.3 S20 32.8 | 146 35.7 S21 18.8 | 59 27.2 S12 53.5 | 77 04.5 S18 18.0
21 | 45 38.8 | 107 20.1 S20 32.3 | 161 36.3 S21 19.1 | 74 29.2 S12 53.4 | 92 06.7 S18 17.9
22 | 60 41.3 | 122 22.9 S20 31.8 | 176 36.9 S21 19.4 | 89 31.2 S12 53.2 | 107 08.9 S18 17.9
23 | 75 43.7 | 137 25.8 S20 31.3 | 191 37.5 S21 19.7 | 104 33.3 S12 53.0 | 122 11.1 S18 17.8
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 90 46.2 | 152 28.6 S20 30.8 | 206 38.1 S21 20.1 | 119 35.3 S12 52.9 | 137 13.3 S18 17.7
1 | 105 48.7 | 167 31.5 S20 30.2 | 221 38.7 S21 20.4 | 134 37.3 S12 52.7 | 152 15.5 S18 17.7
2 | 120 51.1 | 182 34.4 S20 29.7 | 236 39.3 S21 20.7 | 149 39.4 S12 52.6 | 167 17.7 S18 17.6
3 | 135 53.6 | 197 37.2 S20 29.2 | 251 39.9 S21 21.1 | 164 41.4 S12 52.4 | 182 20.0 S18 17.5
4 | 150 56.0 | 212 40.1 S20 28.7 | 266 40.5 S21 21.4 | 179 43.5 S12 52.2 | 197 22.2 S18 17.5
W 5 | 165 58.5 | 227 43.0 S20 28.2 | 281 41.1 S21 21.7 | 194 45.5 S12 52.1 | 212 24.4 S18 17.4
E
D 6 | 181 01.0 | 242 45.9 S20 27.7 | 296 41.8 S21 22.1 | 209 47.5 S12 51.9 | 227 26.6 S18 17.3
N 7 | 196 03.4 | 257 48.8 S20 27.2 | 311 42.4 S21 22.4 | 224 49.6 S12 51.8 | 242 28.8 S18 17.3
E 8 | 211 05.9 | 272 51.7 S20 26.7 | 326 43.0 S21 22.7 | 239 51.6 S12 51.6 | 257 31.0 S18 17.2
S 9 | 226 08.4 | 287 54.6 S20 26.1 | 341 43.6 S21 23.1 | 254 53.6 S12 51.4 | 272 33.2 S18 17.1
D 10 | 241 10.8 | 302 57.5 S20 25.6 | 356 44.2 S21 23.4 | 269 55.7 S12 51.3 | 287 35.4 S18 17.1
A 11 | 256 13.3 | 318 00.4 S20 25.1 | 11 44.8 S21 23.7 | 284 57.7 S12 51.1 | 302 37.6 S18 17.0
Y
12 | 271 15.8 | 333 03.3 S20 24.6 | 26 45.4 S21 24.0 | 299 59.7 S12 51.0 | 317 39.8 S18 16.9
13 | 286 18.2 | 348 06.2 S20 24.1 | 41 46.0 S21 24.4 | 315 01.8 S12 50.8 | 332 42.0 S18 16.8
14 | 301 20.7 | 3 09.1 S20 23.6 | 56 46.6 S21 24.7 | 330 03.8 S12 50.6 | 347 44.3 S18 16.8
15 | 316 23.2 | 18 12.0 S20 23.1 | 71 47.2 S21 25.0 | 345 05.8 S12 50.5 | 2 46.5 S18 16.7
16 | 331 25.6 | 33 15.0 S20 22.6 | 86 47.8 S21 25.3 | 0 07.9 S12 50.3 | 17 48.7 S18 16.6
17 | 346 28.1 | 48 17.9 S20 22.1 | 101 48.4 S21 25.7 | 15 09.9 S12 50.2 | 32 50.9 S18 16.6
18 | 1 30.5 | 63 20.8 S20 21.5 | 116 49.0 S21 26.0 | 30 11.9 S12 50.0 | 47 53.1 S18 16.5
19 | 16 33.0 | 78 23.8 S20 21.0 | 131 49.6 S21 26.3 | 45 14.0 S12 49.8 | 62 55.3 S18 16.4
20 | 31 35.5 | 93 26.7 S20 20.5 | 146 50.2 S21 26.6 | 60 16.0 S12 49.7 | 77 57.5 S18 16.4
21 | 46 37.9 | 108 29.7 S20 20.0 | 161 50.8 S21 27.0 | 75 18.0 S12 49.5 | 92 59.7 S18 16.3
22 | 61 40.4 | 123 32.6 S20 19.5 | 176 51.4 S21 27.3 | 90 20.1 S12 49.4 | 108 01.9 S18 16.2
23 | 76 42.9 | 138 35.6 S20 19.0 | 191 52.0 S21 27.6 | 105 22.1 S12 49.2 | 123 04.1 S18 16.2
------+----------+-------------------+-------------------+-------------------+--------------------
| v 2.8 d 0.5 | v 0.6 d 0.3 | v 2.0 d 0.2 | v 2.2 d 0.1
2021 DEC. 20, 21, 22 (MON, TUE, WED)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 38.8 S23 25.6 | 350 54.8 10.3 N26 16.9 0.6 54.1 | Acamar 315 13.4 S40 13.2
1 | 195 38.5 S23 25.6 | 5 24.1 10.3 N26 17.5 0.5 54.1 | Achernar 335 21.8 S57 07.9
2 | 210 38.2 S23 25.7 | 19 53.3 10.2 N26 17.9 0.4 54.1 | Acrux 173 02.9 S63 12.8
3 | 225 37.9 S23 25.7 | 34 22.6 10.2 N26 18.1 0.3 54.1 | Adhara 255 07.4 S29 00.0
4 | 240 37.6 S23 25.7 | 48 51.8 10.2 N26 18.3 0.1 54.1 | Albireo 67 06.4 N28 00.4
M 5 | 255 37.3 S23 25.8 | 63 21.0 10.2 N26 18.3 0.0 54.2 |
O | | | Aldebaran 290 42.2 N16 33.2
N 6 | 270 37.0 S23 25.8 | 77 50.2 10.2 N26 18.2 0.1 54.2 | Alioth 166 15.3 N55 50.3
D 7 | 285 36.7 S23 25.8 | 92 19.4 10.2 N26 17.9 0.2 54.2 | Alkaid 152 54.3 N49 12.1
A 8 | 300 36.3 S23 25.8 | 106 48.6 10.2 N26 17.5 0.4 54.2 | Al Na-ir 27 36.3 S46 51.6
Y 9 | 315 36.0 S23 25.9 | 121 17.8 10.2 N26 17.0 0.5 54.2 | Alnilam 275 39.9 S 1 11.3
10 | 330 35.7 S23 25.9 | 135 47.0 10.2 N26 16.4 0.6 54.2 |
11 | 345 35.4 S23 25.9 | 150 16.2 10.2 N26 15.6 0.8 54.2 | Alphard 217 50.0 S 8 45.1
| | | Alphecca 126 06.2 N26 38.4
12 | 0 35.1 S23 25.9 | 164 45.4 10.2 N26 14.7 0.9 54.2 | Alpheratz 357 37.3 N29 12.8
13 | 15 34.8 S23 26.0 | 179 14.6 10.2 N26 13.7 1.0 54.2 | Altair 62 02.7 N 8 55.6
14 | 30 34.5 S23 26.0 | 193 43.8 10.2 N26 12.6 1.1 54.2 | Ankaa 353 09.6 S42 11.6
15 | 45 34.2 S23 26.0 | 208 13.0 10.2 N26 11.3 1.3 54.2 |
16 | 60 33.9 S23 26.0 | 222 42.2 10.2 N26 09.9 1.4 54.2 | Antares 112 19.3 S26 28.7
17 | 75 33.6 S23 26.0 | 237 11.4 10.2 N26 08.4 1.5 54.3 | Arcturus 145 50.4 N19 04.1
| | | Atria 107 16.4 S69 03.9
18 | 90 33.3 S23 26.1 | 251 40.6 10.2 N26 06.7 1.7 54.3 | Avior 234 15.1 S59 34.6
19 | 105 32.9 S23 26.1 | 266 09.8 10.2 N26 04.9 1.8 54.3 | Bellatrix 278 25.2 N 6 22.2
20 | 120 32.6 S23 26.1 | 280 39.0 10.2 N26 03.0 1.9 54.3 |
21 | 135 32.3 S23 26.1 | 295 08.2 10.2 N26 01.0 2.0 54.3 | Betelgeuse 270 54.5 N 7 24.7
22 | 150 32.0 S23 26.1 | 309 37.5 10.2 N25 58.8 2.2 54.3 | Canopus 263 52.9 S52 42.4
23 | 165 31.7 S23 26.1 | 324 06.7 10.3 N25 56.5 2.3 54.3 | Capella 280 25.1 N46 01.2
------+-------------------+----------------------------------| Castor 245 59.9 N31 50.4
21 0 | 180 31.4 S23 26.1 | 338 36.0 10.3 N25 54.1 2.4 54.3 | Deneb 49 27.8 N45 21.6
1 | 195 31.1 S23 26.2 | 353 05.3 10.3 N25 51.6 2.5 54.3 |
2 | 210 30.8 S23 26.2 | 7 34.6 10.3 N25 48.9 2.7 54.3 | Denebola 182 27.5 N14 27.0
3 | 225 30.5 S23 26.2 | 22 03.9 10.3 N25 46.1 2.8 54.3 | Diphda 348 49.8 S17 52.1
4 | 240 30.2 S23 26.2 | 36 33.2 10.3 N25 43.2 2.9 54.4 | Dubhe 193 44.0 N61 37.7
T 5 | 255 29.9 S23 26.2 | 51 02.5 10.3 N25 40.1 3.1 54.4 | Elnath 278 04.7 N28 37.5
U | | | Eltanin 90 43.9 N51 29.1
E 6 | 270 29.5 S23 26.2 | 65 31.9 10.4 N25 36.9 3.2 54.4 |
S 7 | 285 29.2 S23 26.2 | 80 01.3 10.4 N25 33.6 3.3 54.4 | Enif 33 41.4 N 9 58.5
D 8 | 300 28.9 S23 26.2 | 94 30.7 10.4 N25 30.2 3.4 54.4 | Fomalhaut 15 17.4 S29 30.6
A 9 | 315 28.6 S23 26.2 | 109 00.1 10.4 N25 26.6 3.6 54.4 | Gacrux 171 54.5 S57 13.8
Y 10 | 330 28.3 S23 26.2 | 123 29.5 10.4 N25 23.0 3.7 54.4 | Gienah 175 46.2 S17 39.6
11 | 345 28.0 S23 26.2 | 137 59.0 10.5 N25 19.1 3.8 54.4 | Hadar 148 39.9 S60 28.4
| | |
12 | 0 27.7 S23 26.2 | 152 28.5 10.5 N25 15.2 3.9 54.4 | Hamal 327 53.8 N23 34.0
13 | 15 27.4 S23 26.2 | 166 58.0 10.5 N25 11.2 4.1 54.5 | Kaus Austr. 83 36.3 S34 22.5
14 | 30 27.1 S23 26.2 | 181 27.5 10.5 N25 07.0 4.2 54.5 | Kochab 137 20.8 N74 03.7
15 | 45 26.8 S23 26.3 | 195 57.1 10.6 N25 02.7 4.3 54.5 | Markab 13 32.5 N15 19.4
16 | 60 26.4 S23 26.3 | 210 26.7 10.6 N24 58.3 4.4 54.5 | Menkar 314 08.5 N 4 10.5
17 | 75 26.1 S23 26.2 | 224 56.3 10.6 N24 53.7 4.5 54.5 |
| | | Menkent 148 00.8 S36 28.5
18 | 90 25.8 S23 26.2 | 239 25.9 10.6 N24 49.1 4.7 54.5 | Miaplacidus 221 38.0 S69 48.1
19 | 105 25.5 S23 26.2 | 253 55.6 10.7 N24 44.3 4.8 54.5 | Mirfak 308 31.4 N49 56.4
20 | 120 25.2 S23 26.2 | 268 25.3 10.7 N24 39.4 4.9 54.5 | Nunki 75 51.2 S26 16.2
21 | 135 24.9 S23 26.2 | 282 55.0 10.7 N24 34.3 5.0 54.6 | Peacock 53 10.1 S56 40.1
22 | 150 24.6 S23 26.2 | 297 24.8 10.8 N24 29.2 5.1 54.6 |
23 | 165 24.3 S23 26.2 | 311 54.6 10.8 N24 23.9 5.3 54.6 | Polaris 316 58.1 N89 20.9
------+-------------------+----------------------------------| Pollux 243 20.0 N27 58.3
22 0 | 180 24.0 S23 26.2 | 326 24.4 10.8 N24 18.5 5.4 54.6 | Procyon 244 53.1 N 5 10.1
1 | 195 23.7 S23 26.2 | 340 54.3 10.9 N24 13.0 5.5 54.6 | Rasalhague 96 01.3 N12 32.7
2 | 210 23.4 S23 26.2 | 355 24.2 10.9 N24 07.4 5.6 54.6 | Regulus 207 36.9 N11 51.6
3 | 225 23.0 S23 26.2 | 9 54.1 10.9 N24 01.7 5.7 54.6 |
4 | 240 22.7 S23 26.2 | 24 24.0 11.0 N23 55.8 5.9 54.7 | Rigel 281 05.9 S 8 10.6
W 5 | 255 22.4 S23 26.2 | 38 54.0 11.0 N23 49.8 6.0 54.7 | Rigil Kent 139 44.3 S60 55.2
E | | | Sabik 102 06.0 S15 45.1
D 6 | 270 22.1 S23 26.2 | 53 24.1 11.0 N23 43.8 6.1 54.7 | Schedar 349 33.7 N56 39.6
N 7 | 285 21.8 S23 26.2 | 67 54.1 11.1 N23 37.6 6.2 54.7 | Shaula 96 14.2 S37 07.1
E 8 | 300 21.5 S23 26.1 | 82 24.2 11.1 N23 31.2 6.3 54.7 |
S 9 | 315 21.2 S23 26.1 | 96 54.4 11.1 N23 24.8 6.4 54.7 | Sirius 258 28.1 S16 44.7
D 10 | 330 20.9 S23 26.1 | 111 24.6 11.2 N23 18.2 6.5 54.7 | Spica 158 25.1 S11 16.4
A 11 | 345 20.6 S23 26.1 | 125 54.8 11.2 N23 11.6 6.7 54.8 | Suhail 222 47.8 S43 31.0
Y | | | Vega 80 35.3 N38 48.2
12 | 0 20.2 S23 26.1 | 140 25.1 11.3 N23 04.8 6.8 54.8 | Zuben-ubi 136 59.8 S16 07.8
13 | 15 19.9 S23 26.1 | 154 55.4 11.3 N22 57.9 6.9 54.8 |
14 | 30 19.6 S23 26.1 | 169 25.7 11.3 N22 50.9 7.0 54.8 |
15 | 45 19.3 S23 26.0 | 183 56.1 11.4 N22 43.8 7.1 54.8 |
16 | 60 19.0 S23 26.0 | 198 26.5 11.4 N22 36.6 7.2 54.8 |
17 | 75 18.7 S23 26.0 | 212 56.9 11.5 N22 29.3 7.3 54.9 |
| | |
18 | 90 18.4 S23 26.0 | 227 27.4 11.5 N22 21.8 7.4 54.9 |
19 | 105 18.1 S23 26.0 | 241 58.0 11.5 N22 14.3 7.5 54.9 |
20 | 120 17.8 S23 25.9 | 256 28.6 11.6 N22 06.6 7.7 54.9 |
21 | 135 17.5 S23 25.9 | 270 59.2 11.6 N21 58.9 7.8 54.9 |
22 | 150 17.1 S23 25.9 | 285 29.8 11.7 N21 51.0 7.9 54.9 |
23 | 165 16.8 S23 25.9 | 300 00.5 11.7 N21 43.0 8.0 55.0 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 14.8 14.8 14.9 |
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