
2021 DEC. 22, 23, 24 (WED, THU, FRI)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
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
------+----------+-------------------+-------------------+-------------------+--------------------
23 0 | 91 45.3 | 153 38.6 S20 18.5 | 206 52.6 S21 27.9 | 120 24.1 S12 49.0 | 138 06.3 S18 16.1
1 | 106 47.8 | 168 41.5 S20 18.0 | 221 53.2 S21 28.3 | 135 26.2 S12 48.9 | 153 08.5 S18 16.0
2 | 121 50.3 | 183 44.5 S20 17.5 | 236 53.8 S21 28.6 | 150 28.2 S12 48.7 | 168 10.8 S18 16.0
3 | 136 52.7 | 198 47.5 S20 17.0 | 251 54.4 S21 28.9 | 165 30.2 S12 48.6 | 183 13.0 S18 15.9
4 | 151 55.2 | 213 50.5 S20 16.5 | 266 55.0 S21 29.2 | 180 32.3 S12 48.4 | 198 15.2 S18 15.8
T 5 | 166 57.7 | 228 53.5 S20 15.9 | 281 55.6 S21 29.6 | 195 34.3 S12 48.2 | 213 17.4 S18 15.8
H
U 6 | 182 00.1 | 243 56.5 S20 15.4 | 296 56.2 S21 29.9 | 210 36.3 S12 48.1 | 228 19.6 S18 15.7
R 7 | 197 02.6 | 258 59.5 S20 14.9 | 311 56.9 S21 30.2 | 225 38.4 S12 47.9 | 243 21.8 S18 15.6
S 8 | 212 05.0 | 274 02.5 S20 14.4 | 326 57.5 S21 30.5 | 240 40.4 S12 47.8 | 258 24.0 S18 15.5
D 9 | 227 07.5 | 289 05.5 S20 13.9 | 341 58.1 S21 30.8 | 255 42.4 S12 47.6 | 273 26.2 S18 15.5
A 10 | 242 10.0 | 304 08.5 S20 13.4 | 356 58.7 S21 31.2 | 270 44.5 S12 47.4 | 288 28.4 S18 15.4
Y 11 | 257 12.4 | 319 11.5 S20 12.9 | 11 59.3 S21 31.5 | 285 46.5 S12 47.3 | 303 30.6 S18 15.3
12 | 272 14.9 | 334 14.5 S20 12.4 | 26 59.9 S21 31.8 | 300 48.5 S12 47.1 | 318 32.8 S18 15.3
13 | 287 17.4 | 349 17.5 S20 11.9 | 42 00.5 S21 32.1 | 315 50.6 S12 46.9 | 333 35.0 S18 15.2
14 | 302 19.8 | 4 20.6 S20 11.4 | 57 01.1 S21 32.4 | 330 52.6 S12 46.8 | 348 37.2 S18 15.1
15 | 317 22.3 | 19 23.6 S20 10.9 | 72 01.7 S21 32.8 | 345 54.6 S12 46.6 | 3 39.4 S18 15.1
16 | 332 24.8 | 34 26.6 S20 10.4 | 87 02.3 S21 33.1 | 0 56.6 S12 46.5 | 18 41.6 S18 15.0
17 | 347 27.2 | 49 29.7 S20 09.9 | 102 02.9 S21 33.4 | 15 58.7 S12 46.3 | 33 43.9 S18 14.9
18 | 2 29.7 | 64 32.7 S20 09.4 | 117 03.5 S21 33.7 | 31 00.7 S12 46.1 | 48 46.1 S18 14.9
19 | 17 32.2 | 79 35.8 S20 08.9 | 132 04.0 S21 34.0 | 46 02.7 S12 46.0 | 63 48.3 S18 14.8
20 | 32 34.6 | 94 38.9 S20 08.4 | 147 04.6 S21 34.4 | 61 04.8 S12 45.8 | 78 50.5 S18 14.7
21 | 47 37.1 | 109 41.9 S20 07.8 | 162 05.2 S21 34.7 | 76 06.8 S12 45.7 | 93 52.7 S18 14.6
22 | 62 39.5 | 124 45.0 S20 07.3 | 177 05.8 S21 35.0 | 91 08.8 S12 45.5 | 108 54.9 S18 14.6
23 | 77 42.0 | 139 48.1 S20 06.8 | 192 06.4 S21 35.3 | 106 10.8 S12 45.3 | 123 57.1 S18 14.5
------+----------+-------------------+-------------------+-------------------+--------------------
24 0 | 92 44.5 | 154 51.1 S20 06.3 | 207 07.0 S21 35.6 | 121 12.9 S12 45.2 | 138 59.3 S18 14.4
1 | 107 46.9 | 169 54.2 S20 05.8 | 222 07.6 S21 35.9 | 136 14.9 S12 45.0 | 154 01.5 S18 14.4
2 | 122 49.4 | 184 57.3 S20 05.3 | 237 08.2 S21 36.3 | 151 16.9 S12 44.8 | 169 03.7 S18 14.3
3 | 137 51.9 | 200 00.4 S20 04.8 | 252 08.8 S21 36.6 | 166 19.0 S12 44.7 | 184 05.9 S18 14.2
4 | 152 54.3 | 215 03.5 S20 04.3 | 267 09.4 S21 36.9 | 181 21.0 S12 44.5 | 199 08.1 S18 14.2
F 5 | 167 56.8 | 230 06.6 S20 03.8 | 282 10.0 S21 37.2 | 196 23.0 S12 44.4 | 214 10.3 S18 14.1
R
I 6 | 182 59.3 | 245 09.7 S20 03.3 | 297 10.6 S21 37.5 | 211 25.0 S12 44.2 | 229 12.5 S18 14.0
D 7 | 198 01.7 | 260 12.8 S20 02.8 | 312 11.2 S21 37.8 | 226 27.1 S12 44.0 | 244 14.7 S18 14.0
A 8 | 213 04.2 | 275 15.9 S20 02.3 | 327 11.8 S21 38.1 | 241 29.1 S12 43.9 | 259 16.9 S18 13.9
Y 9 | 228 06.6 | 290 19.0 S20 01.8 | 342 12.4 S21 38.4 | 256 31.1 S12 43.7 | 274 19.1 S18 13.8
10 | 243 09.1 | 305 22.1 S20 01.3 | 357 13.0 S21 38.8 | 271 33.2 S12 43.5 | 289 21.3 S18 13.7
11 | 258 11.6 | 320 25.3 S20 00.8 | 12 13.6 S21 39.1 | 286 35.2 S12 43.4 | 304 23.6 S18 13.7
12 | 273 14.0 | 335 28.4 S20 00.3 | 27 14.2 S21 39.4 | 301 37.2 S12 43.2 | 319 25.8 S18 13.6
13 | 288 16.5 | 350 31.5 S19 59.8 | 42 14.8 S21 39.7 | 316 39.2 S12 43.0 | 334 28.0 S18 13.5
14 | 303 19.0 | 5 34.7 S19 59.3 | 57 15.4 S21 40.0 | 331 41.3 S12 42.9 | 349 30.2 S18 13.5
15 | 318 21.4 | 20 37.8 S19 58.8 | 72 16.0 S21 40.3 | 346 43.3 S12 42.7 | 4 32.4 S18 13.4
16 | 333 23.9 | 35 41.0 S19 58.3 | 87 16.6 S21 40.6 | 1 45.3 S12 42.6 | 19 34.6 S18 13.3
17 | 348 26.4 | 50 44.1 S19 57.8 | 102 17.2 S21 40.9 | 16 47.3 S12 42.4 | 34 36.8 S18 13.3
18 | 3 28.8 | 65 47.3 S19 57.3 | 117 17.8 S21 41.3 | 31 49.4 S12 42.2 | 49 39.0 S18 13.2
19 | 18 31.3 | 80 50.4 S19 56.8 | 132 18.4 S21 41.6 | 46 51.4 S12 42.1 | 64 41.2 S18 13.1
20 | 33 33.8 | 95 53.6 S19 56.3 | 147 19.0 S21 41.9 | 61 53.4 S12 41.9 | 79 43.4 S18 13.0
21 | 48 36.2 | 110 56.8 S19 55.8 | 162 19.5 S21 42.2 | 76 55.4 S12 41.7 | 94 45.6 S18 13.0
22 | 63 38.7 | 125 60.0 S19 55.3 | 177 20.1 S21 42.5 | 91 57.5 S12 41.6 | 109 47.8 S18 12.9
23 | 78 41.1 | 141 03.1 S19 54.8 | 192 20.7 S21 42.8 | 106 59.5 S12 41.4 | 124 50.0 S18 12.8
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| v 3.0 d 0.5 | v 0.6 d 0.3 | v 2.0 d 0.2 | v 2.2 d 0.1
2021 DEC. 22, 23, 24 (WED, THU, FRI)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
22 0 | 180 24.0 S23 26.2 | 326 24.4 10.8 N24 18.5 5.4 54.6 | Acamar 315 13.4 S40 13.2
1 | 195 23.7 S23 26.2 | 340 54.3 10.9 N24 13.0 5.5 54.6 | Achernar 335 21.9 S57 07.9
2 | 210 23.4 S23 26.2 | 355 24.2 10.9 N24 07.4 5.6 54.6 | Acrux 173 02.9 S63 12.8
3 | 225 23.0 S23 26.2 | 9 54.1 10.9 N24 01.7 5.7 54.6 | Adhara 255 07.4 S29 00.1
4 | 240 22.7 S23 26.2 | 24 24.0 11.0 N23 55.8 5.9 54.7 | Albireo 67 06.4 N28 00.4
W 5 | 255 22.4 S23 26.2 | 38 54.0 11.0 N23 49.8 6.0 54.7 |
E | | | Aldebaran 290 42.2 N16 33.2
D 6 | 270 22.1 S23 26.2 | 53 24.1 11.0 N23 43.8 6.1 54.7 | Alioth 166 15.3 N55 50.3
N 7 | 285 21.8 S23 26.2 | 67 54.1 11.1 N23 37.6 6.2 54.7 | Alkaid 152 54.2 N49 12.1
E 8 | 300 21.5 S23 26.1 | 82 24.2 11.1 N23 31.2 6.3 54.7 | Al Na-ir 27 36.3 S46 51.6
S 9 | 315 21.2 S23 26.1 | 96 54.4 11.1 N23 24.8 6.4 54.7 | Alnilam 275 39.9 S 1 11.3
D 10 | 330 20.9 S23 26.1 | 111 24.6 11.2 N23 18.2 6.5 54.7 |
A 11 | 345 20.6 S23 26.1 | 125 54.8 11.2 N23 11.6 6.7 54.8 | Alphard 217 49.9 S 8 45.1
Y | | | Alphecca 126 06.2 N26 38.4
12 | 0 20.2 S23 26.1 | 140 25.1 11.3 N23 04.8 6.8 54.8 | Alpheratz 357 37.4 N29 12.8
13 | 15 19.9 S23 26.1 | 154 55.4 11.3 N22 57.9 6.9 54.8 | Altair 62 02.7 N 8 55.6
14 | 30 19.6 S23 26.1 | 169 25.7 11.3 N22 50.9 7.0 54.8 | Ankaa 353 09.6 S42 11.6
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 | Antares 112 19.3 S26 28.7
17 | 75 18.7 S23 26.0 | 212 56.9 11.5 N22 29.3 7.3 54.9 | Arcturus 145 50.4 N19 04.1
| | | Atria 107 16.3 S69 03.9
18 | 90 18.4 S23 26.0 | 227 27.4 11.5 N22 21.8 7.4 54.9 | Avior 234 15.1 S59 34.6
19 | 105 18.1 S23 26.0 | 241 58.0 11.5 N22 14.3 7.5 54.9 | Bellatrix 278 25.2 N 6 22.2
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 | Betelgeuse 270 54.4 N 7 24.7
22 | 150 17.1 S23 25.9 | 285 29.8 11.7 N21 51.0 7.9 54.9 | Canopus 263 52.9 S52 42.4
23 | 165 16.8 S23 25.9 | 300 00.5 11.7 N21 43.0 8.0 55.0 | Capella 280 25.1 N46 01.2
------+-------------------+----------------------------------| Castor 245 59.9 N31 50.4
23 0 | 180 16.5 S23 25.8 | 314 31.3 11.7 N21 34.9 8.1 55.0 | Deneb 49 27.8 N45 21.6
1 | 195 16.2 S23 25.8 | 329 02.1 11.8 N21 26.8 8.2 55.0 |
2 | 210 15.9 S23 25.8 | 343 32.9 11.8 N21 18.5 8.3 55.0 | Denebola 182 27.5 N14 27.0
3 | 225 15.6 S23 25.7 | 358 03.8 11.9 N21 10.1 8.4 55.0 | Diphda 348 49.8 S17 52.1
4 | 240 15.3 S23 25.7 | 12 34.7 11.9 N21 01.6 8.5 55.0 | Dubhe 193 43.9 N61 37.7
T 5 | 255 15.0 S23 25.7 | 27 05.6 12.0 N20 53.0 8.6 55.1 | Elnath 278 04.7 N28 37.5
H | | | Eltanin 90 43.9 N51 29.1
U 6 | 270 14.7 S23 25.7 | 41 36.6 12.0 N20 44.3 8.7 55.1 |
R 7 | 285 14.4 S23 25.6 | 56 07.7 12.0 N20 35.5 8.8 55.1 | Enif 33 41.4 N 9 58.5
S 8 | 300 14.0 S23 25.6 | 70 38.8 12.1 N20 26.6 8.9 55.1 | Fomalhaut 15 17.4 S29 30.6
D 9 | 315 13.7 S23 25.6 | 85 09.9 12.1 N20 17.6 9.0 55.1 | Gacrux 171 54.5 S57 13.8
A 10 | 330 13.4 S23 25.5 | 99 41.1 12.2 N20 08.5 9.1 55.2 | Gienah 175 46.2 S17 39.6
Y 11 | 345 13.1 S23 25.5 | 114 12.3 12.2 N19 59.3 9.2 55.2 | Hadar 148 39.9 S60 28.4
| | |
12 | 0 12.8 S23 25.5 | 128 43.5 12.2 N19 50.0 9.3 55.2 | Hamal 327 53.8 N23 34.0
13 | 15 12.5 S23 25.4 | 143 14.8 12.3 N19 40.6 9.4 55.2 | Kaus Austr. 83 36.3 S34 22.5
14 | 30 12.2 S23 25.4 | 157 46.1 12.3 N19 31.1 9.5 55.2 | Kochab 137 20.8 N74 03.7
15 | 45 11.9 S23 25.3 | 172 17.5 12.4 N19 21.6 9.6 55.3 | Markab 13 32.5 N15 19.4
16 | 60 11.6 S23 25.3 | 186 48.9 12.4 N19 11.9 9.7 55.3 | Menkar 314 08.5 N 4 10.5
17 | 75 11.3 S23 25.3 | 201 20.4 12.5 N19 02.1 9.8 55.3 |
| | | Menkent 148 00.8 S36 28.5
18 | 90 10.9 S23 25.2 | 215 51.9 12.5 N18 52.3 9.9 55.3 | Miaplacidus 221 38.0 S69 48.1
19 | 105 10.6 S23 25.2 | 230 23.4 12.5 N18 42.3 10.0 55.3 | Mirfak 308 31.4 N49 56.5
20 | 120 10.3 S23 25.1 | 244 55.0 12.6 N18 32.3 10.0 55.4 | Nunki 75 51.2 S26 16.2
21 | 135 10.0 S23 25.1 | 259 26.6 12.6 N18 22.1 10.1 55.4 | Peacock 53 10.1 S56 40.1
22 | 150 09.7 S23 25.1 | 273 58.3 12.7 N18 11.9 10.2 55.4 |
23 | 165 09.4 S23 25.0 | 288 30.0 12.7 N18 01.6 10.3 55.4 | Polaris 316 58.7 N89 20.9
------+-------------------+----------------------------------| Pollux 243 20.0 N27 58.3
24 0 | 180 09.1 S23 25.0 | 303 01.7 12.7 N17 51.2 10.4 55.5 | Procyon 244 53.1 N 5 10.1
1 | 195 08.8 S23 24.9 | 317 33.5 12.8 N17 40.7 10.5 55.5 | Rasalhague 96 01.3 N12 32.7
2 | 210 08.5 S23 24.9 | 332 05.3 12.8 N17 30.1 10.6 55.5 | Regulus 207 36.9 N11 51.6
3 | 225 08.2 S23 24.8 | 346 37.1 12.8 N17 19.5 10.7 55.5 |
4 | 240 07.8 S23 24.8 | 1 09.0 12.9 N17 08.7 10.7 55.5 | Rigel 281 05.9 S 8 10.6
F 5 | 255 07.5 S23 24.7 | 15 40.9 12.9 N16 57.9 10.8 55.6 | Rigil Kent 139 44.3 S60 55.2
R | | | Sabik 102 06.0 S15 45.1
I 6 | 270 07.2 S23 24.7 | 30 12.9 13.0 N16 47.0 10.9 55.6 | Schedar 349 33.7 N56 39.6
D 7 | 285 06.9 S23 24.6 | 44 44.9 13.0 N16 36.0 11.0 55.6 | Shaula 96 14.2 S37 07.1
A 8 | 300 06.6 S23 24.6 | 59 16.9 13.0 N16 24.9 11.1 55.6 |
Y 9 | 315 06.3 S23 24.5 | 73 49.0 13.1 N16 13.7 11.2 55.7 | Sirius 258 28.1 S16 44.7
10 | 330 06.0 S23 24.5 | 88 21.1 13.1 N16 02.5 11.2 55.7 | Spica 158 25.1 S11 16.4
11 | 345 05.7 S23 24.4 | 102 53.2 13.1 N15 51.2 11.3 55.7 | Suhail 222 47.8 S43 31.0
| | | Vega 80 35.3 N38 48.2
12 | 0 05.4 S23 24.4 | 117 25.4 13.2 N15 39.8 11.4 55.7 | Zuben-ubi 136 59.8 S16 07.9
13 | 15 05.1 S23 24.3 | 131 57.6 13.2 N15 28.3 11.5 55.8 |
14 | 30 04.7 S23 24.2 | 146 29.8 13.2 N15 16.7 11.6 55.8 |
15 | 45 04.4 S23 24.2 | 161 02.0 13.3 N15 05.1 11.6 55.8 |
16 | 60 04.1 S23 24.1 | 175 34.3 13.3 N14 53.4 11.7 55.8 |
17 | 75 03.8 S23 24.1 | 190 06.7 13.3 N14 41.6 11.8 55.9 |
| | |
18 | 90 03.5 S23 24.0 | 204 39.0 13.4 N14 29.7 11.9 55.9 |
19 | 105 03.2 S23 24.0 | 219 11.4 13.4 N14 17.8 11.9 55.9 |
20 | 120 02.9 S23 23.9 | 233 43.8 13.4 N14 05.8 12.0 55.9 |
21 | 135 02.6 S23 23.8 | 248 16.2 13.4 N13 53.7 12.1 56.0 |
22 | 150 02.3 S23 23.8 | 262 48.7 13.5 N13 41.5 12.2 56.0 |
23 | 165 02.0 S23 23.7 | 277 21.2 13.5 N13 29.3 12.2 56.0 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 14.9 15.0 15.2 |
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