
2021 DEC. 29, 30, 31 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
29 0 | 97 40.2 | 161 32.2 S19 07.8 | 208 17.3 S22 11.1 | 125 15.1 S12 25.2 | 143 23.4 S18 05.9
1 | 112 42.6 | 176 35.8 S19 07.4 | 223 17.8 S22 11.4 | 140 17.1 S12 25.0 | 158 25.6 S18 05.9
2 | 127 45.1 | 191 39.4 S19 06.9 | 238 18.4 S22 11.7 | 155 19.1 S12 24.8 | 173 27.8 S18 05.8
3 | 142 47.6 | 206 43.0 S19 06.4 | 253 19.0 S22 11.9 | 170 21.1 S12 24.6 | 188 30.0 S18 05.7
4 | 157 50.0 | 221 46.6 S19 06.0 | 268 19.6 S22 12.2 | 185 23.2 S12 24.5 | 203 32.2 S18 05.6
W 5 | 172 52.5 | 236 50.2 S19 05.5 | 283 20.1 S22 12.5 | 200 25.2 S12 24.3 | 218 34.4 S18 05.6
E
D 6 | 187 54.9 | 251 53.8 S19 05.0 | 298 20.7 S22 12.7 | 215 27.2 S12 24.1 | 233 36.6 S18 05.5
N 7 | 202 57.4 | 266 57.4 S19 04.6 | 313 21.3 S22 13.0 | 230 29.2 S12 24.0 | 248 38.7 S18 05.4
E 8 | 217 59.9 | 282 01.0 S19 04.1 | 328 21.8 S22 13.3 | 245 31.2 S12 23.8 | 263 40.9 S18 05.3
S 9 | 233 02.3 | 297 04.6 S19 03.6 | 343 22.4 S22 13.6 | 260 33.2 S12 23.6 | 278 43.1 S18 05.3
D 10 | 248 04.8 | 312 08.3 S19 03.2 | 358 23.0 S22 13.8 | 275 35.2 S12 23.4 | 293 45.3 S18 05.2
A 11 | 263 07.3 | 327 11.9 S19 02.7 | 13 23.6 S22 14.1 | 290 37.2 S12 23.3 | 308 47.5 S18 05.1
Y
12 | 278 09.7 | 342 15.5 S19 02.2 | 28 24.1 S22 14.4 | 305 39.2 S12 23.1 | 323 49.7 S18 05.1
13 | 293 12.2 | 357 19.2 S19 01.8 | 43 24.7 S22 14.6 | 320 41.2 S12 22.9 | 338 51.9 S18 05.0
14 | 308 14.7 | 12 22.8 S19 01.3 | 58 25.3 S22 14.9 | 335 43.2 S12 22.8 | 353 54.1 S18 04.9
15 | 323 17.1 | 27 26.5 S19 00.8 | 73 25.8 S22 15.2 | 350 45.2 S12 22.6 | 8 56.3 S18 04.8
16 | 338 19.6 | 42 30.1 S19 00.4 | 88 26.4 S22 15.5 | 5 47.2 S12 22.4 | 23 58.5 S18 04.8
17 | 353 22.1 | 57 33.8 S18 59.9 | 103 27.0 S22 15.7 | 20 49.2 S12 22.2 | 39 00.7 S18 04.7
18 | 8 24.5 | 72 37.4 S18 59.5 | 118 27.6 S22 16.0 | 35 51.3 S12 22.1 | 54 02.9 S18 04.6
19 | 23 27.0 | 87 41.1 S18 59.0 | 133 28.1 S22 16.3 | 50 53.3 S12 21.9 | 69 05.1 S18 04.5
20 | 38 29.4 | 102 44.7 S18 58.5 | 148 28.7 S22 16.5 | 65 55.3 S12 21.7 | 84 07.3 S18 04.5
21 | 53 31.9 | 117 48.4 S18 58.1 | 163 29.3 S22 16.8 | 80 57.3 S12 21.6 | 99 09.5 S18 04.4
22 | 68 34.4 | 132 52.1 S18 57.6 | 178 29.8 S22 17.1 | 95 59.3 S12 21.4 | 114 11.7 S18 04.3
23 | 83 36.8 | 147 55.8 S18 57.1 | 193 30.4 S22 17.3 | 111 01.3 S12 21.2 | 129 13.9 S18 04.2
------+----------+-------------------+-------------------+-------------------+--------------------
30 0 | 98 39.3 | 162 59.4 S18 56.7 | 208 31.0 S22 17.6 | 126 03.3 S12 21.0 | 144 16.1 S18 04.2
1 | 113 41.8 | 178 03.1 S18 56.2 | 223 31.5 S22 17.9 | 141 05.3 S12 20.9 | 159 18.3 S18 04.1
2 | 128 44.2 | 193 06.8 S18 55.8 | 238 32.1 S22 18.1 | 156 07.3 S12 20.7 | 174 20.4 S18 04.0
3 | 143 46.7 | 208 10.5 S18 55.3 | 253 32.7 S22 18.4 | 171 09.3 S12 20.5 | 189 22.6 S18 04.0
4 | 158 49.2 | 223 14.2 S18 54.8 | 268 33.2 S22 18.7 | 186 11.3 S12 20.3 | 204 24.8 S18 03.9
T 5 | 173 51.6 | 238 17.9 S18 54.4 | 283 33.8 S22 18.9 | 201 13.3 S12 20.2 | 219 27.0 S18 03.8
H
U 6 | 188 54.1 | 253 21.6 S18 53.9 | 298 34.4 S22 19.2 | 216 15.3 S12 20.0 | 234 29.2 S18 03.7
R 7 | 203 56.6 | 268 25.3 S18 53.5 | 313 34.9 S22 19.5 | 231 17.3 S12 19.8 | 249 31.4 S18 03.7
S 8 | 218 59.0 | 283 29.0 S18 53.0 | 328 35.5 S22 19.7 | 246 19.3 S12 19.7 | 264 33.6 S18 03.6
D 9 | 234 01.5 | 298 32.7 S18 52.6 | 343 36.1 S22 20.0 | 261 21.3 S12 19.5 | 279 35.8 S18 03.5
A 10 | 249 03.9 | 313 36.4 S18 52.1 | 358 36.6 S22 20.3 | 276 23.3 S12 19.3 | 294 38.0 S18 03.4
Y 11 | 264 06.4 | 328 40.1 S18 51.6 | 13 37.2 S22 20.5 | 291 25.3 S12 19.1 | 309 40.2 S18 03.4
12 | 279 08.9 | 343 43.9 S18 51.2 | 28 37.8 S22 20.8 | 306 27.3 S12 19.0 | 324 42.4 S18 03.3
13 | 294 11.3 | 358 47.6 S18 50.7 | 43 38.3 S22 21.0 | 321 29.3 S12 18.8 | 339 44.6 S18 03.2
14 | 309 13.8 | 13 51.3 S18 50.3 | 58 38.9 S22 21.3 | 336 31.3 S12 18.6 | 354 46.8 S18 03.1
15 | 324 16.3 | 28 55.0 S18 49.8 | 73 39.5 S22 21.6 | 351 33.3 S12 18.4 | 9 49.0 S18 03.1
16 | 339 18.7 | 43 58.8 S18 49.4 | 88 40.0 S22 21.8 | 6 35.4 S12 18.3 | 24 51.2 S18 03.0
17 | 354 21.2 | 59 02.5 S18 48.9 | 103 40.6 S22 22.1 | 21 37.4 S12 18.1 | 39 53.3 S18 02.9
18 | 9 23.7 | 74 06.3 S18 48.5 | 118 41.2 S22 22.3 | 36 39.4 S12 17.9 | 54 55.5 S18 02.9
19 | 24 26.1 | 89 10.0 S18 48.0 | 133 41.7 S22 22.6 | 51 41.4 S12 17.7 | 69 57.7 S18 02.8
20 | 39 28.6 | 104 13.8 S18 47.6 | 148 42.3 S22 22.9 | 66 43.4 S12 17.6 | 84 59.9 S18 02.7
21 | 54 31.1 | 119 17.5 S18 47.1 | 163 42.9 S22 23.1 | 81 45.4 S12 17.4 | 100 02.1 S18 02.6
22 | 69 33.5 | 134 21.3 S18 46.6 | 178 43.4 S22 23.4 | 96 47.4 S12 17.2 | 115 04.3 S18 02.6
23 | 84 36.0 | 149 25.0 S18 46.2 | 193 44.0 S22 23.6 | 111 49.4 S12 17.0 | 130 06.5 S18 02.5
------+----------+-------------------+-------------------+-------------------+--------------------
31 0 | 99 38.4 | 164 28.8 S18 45.7 | 208 44.6 S22 23.9 | 126 51.4 S12 16.9 | 145 08.7 S18 02.4
1 | 114 40.9 | 179 32.5 S18 45.3 | 223 45.1 S22 24.2 | 141 53.4 S12 16.7 | 160 10.9 S18 02.3
2 | 129 43.4 | 194 36.3 S18 44.8 | 238 45.7 S22 24.4 | 156 55.4 S12 16.5 | 175 13.1 S18 02.3
3 | 144 45.8 | 209 40.1 S18 44.4 | 253 46.2 S22 24.7 | 171 57.4 S12 16.3 | 190 15.3 S18 02.2
4 | 159 48.3 | 224 43.9 S18 43.9 | 268 46.8 S22 24.9 | 186 59.4 S12 16.2 | 205 17.5 S18 02.1
F 5 | 174 50.8 | 239 47.6 S18 43.5 | 283 47.4 S22 25.2 | 202 01.4 S12 16.0 | 220 19.7 S18 02.0
R
I 6 | 189 53.2 | 254 51.4 S18 43.0 | 298 47.9 S22 25.4 | 217 03.4 S12 15.8 | 235 21.9 S18 02.0
D 7 | 204 55.7 | 269 55.2 S18 42.6 | 313 48.5 S22 25.7 | 232 05.4 S12 15.6 | 250 24.0 S18 01.9
A 8 | 219 58.2 | 284 59.0 S18 42.1 | 328 49.1 S22 26.0 | 247 07.4 S12 15.5 | 265 26.2 S18 01.8
Y 9 | 235 00.6 | 300 02.8 S18 41.7 | 343 49.6 S22 26.2 | 262 09.4 S12 15.3 | 280 28.4 S18 01.7
10 | 250 03.1 | 315 06.6 S18 41.3 | 358 50.2 S22 26.5 | 277 11.4 S12 15.1 | 295 30.6 S18 01.7
11 | 265 05.5 | 330 10.4 S18 40.8 | 13 50.7 S22 26.7 | 292 13.4 S12 14.9 | 310 32.8 S18 01.6
12 | 280 08.0 | 345 14.2 S18 40.4 | 28 51.3 S22 27.0 | 307 15.4 S12 14.8 | 325 35.0 S18 01.5
13 | 295 10.5 | 0 18.0 S18 39.9 | 43 51.9 S22 27.2 | 322 17.4 S12 14.6 | 340 37.2 S18 01.4
14 | 310 12.9 | 15 21.8 S18 39.5 | 58 52.4 S22 27.5 | 337 19.4 S12 14.4 | 355 39.4 S18 01.4
15 | 325 15.4 | 30 25.6 S18 39.0 | 73 53.0 S22 27.7 | 352 21.4 S12 14.2 | 10 41.6 S18 01.3
16 | 340 17.9 | 45 29.4 S18 38.6 | 88 53.6 S22 28.0 | 7 23.4 S12 14.1 | 25 43.8 S18 01.2
17 | 355 20.3 | 60 33.2 S18 38.1 | 103 54.1 S22 28.2 | 22 25.4 S12 13.9 | 40 46.0 S18 01.2
18 | 10 22.8 | 75 37.1 S18 37.7 | 118 54.7 S22 28.5 | 37 27.4 S12 13.7 | 55 48.2 S18 01.1
19 | 25 25.3 | 90 40.9 S18 37.2 | 133 55.2 S22 28.7 | 52 29.4 S12 13.5 | 70 50.3 S18 01.0
20 | 40 27.7 | 105 44.7 S18 36.8 | 148 55.8 S22 29.0 | 67 31.4 S12 13.4 | 85 52.5 S18 00.9
21 | 55 30.2 | 120 48.5 S18 36.4 | 163 56.4 S22 29.3 | 82 33.4 S12 13.2 | 100 54.7 S18 00.9
22 | 70 32.7 | 135 52.4 S18 35.9 | 178 56.9 S22 29.5 | 97 35.4 S12 13.0 | 115 56.9 S18 00.8
23 | 85 35.1 | 150 56.2 S18 35.5 | 193 57.5 S22 29.8 | 112 37.4 S12 12.8 | 130 59.1 S18 00.7
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| v 3.7 d 0.5 | v 0.6 d 0.3 | v 2.0 d 0.2 | v 2.2 d 0.1
2021 DEC. 29, 30, 31 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
29 0 | 179 32.1 S23 13.6 | 247 19.5 11.0 S 9 36.6 14.7 59.2 | Acamar 315 13.4 S40 13.3
1 | 194 31.8 S23 13.5 | 261 49.3 10.9 S 9 51.3 14.7 59.2 | Achernar 335 21.9 S57 07.9
2 | 209 31.5 S23 13.3 | 276 19.1 10.8 S10 05.9 14.7 59.3 | Acrux 173 02.8 S63 12.8
3 | 224 31.2 S23 13.2 | 290 48.8 10.7 S10 20.5 14.6 59.3 | Adhara 255 07.4 S29 00.1
4 | 239 30.9 S23 13.0 | 305 18.4 10.6 S10 35.1 14.6 59.3 | Albireo 67 06.4 N28 00.3
W 5 | 254 30.6 S23 12.9 | 319 48.0 10.5 S10 49.7 14.5 59.4 |
E | | | Aldebaran 290 42.2 N16 33.2
D 6 | 269 30.3 S23 12.7 | 334 17.4 10.4 S11 04.2 14.5 59.4 | Alioth 166 15.2 N55 50.3
N 7 | 284 30.0 S23 12.6 | 348 46.7 10.3 S11 18.6 14.5 59.4 | Alkaid 152 54.2 N49 12.0
E 8 | 299 29.7 S23 12.4 | 3 16.0 10.2 S11 33.0 14.4 59.5 | Al Na-ir 27 36.3 S46 51.6
S 9 | 314 29.4 S23 12.3 | 17 45.1 10.1 S11 47.4 14.4 59.5 | Alnilam 275 39.9 S 1 11.3
D 10 | 329 29.1 S23 12.1 | 32 14.1 10.0 S12 01.7 14.3 59.5 |
A 11 | 344 28.8 S23 12.0 | 46 43.1 9.9 S12 16.0 14.3 59.6 | Alphard 217 49.9 S 8 45.2
Y | | | Alphecca 126 06.1 N26 38.4
12 | 359 28.5 S23 11.8 | 61 11.9 9.8 S12 30.2 14.2 59.6 | Alpheratz 357 37.4 N29 12.8
13 | 14 28.2 S23 11.7 | 75 40.6 9.7 S12 44.4 14.2 59.6 | Altair 62 02.7 N 8 55.5
14 | 29 27.9 S23 11.5 | 90 09.3 9.6 S12 58.5 14.1 59.7 | Ankaa 353 09.6 S42 11.6
15 | 44 27.6 S23 11.4 | 104 37.8 9.5 S13 12.6 14.1 59.7 |
16 | 59 27.3 S23 11.2 | 119 06.2 9.4 S13 26.6 14.0 59.7 | Antares 112 19.2 S26 28.7
17 | 74 27.0 S23 11.1 | 133 34.5 9.3 S13 40.5 13.9 59.8 | Arcturus 145 50.4 N19 04.0
| | | Atria 107 16.3 S69 03.9
18 | 89 26.7 S23 10.9 | 148 02.7 9.2 S13 54.4 13.9 59.8 | Avior 234 15.1 S59 34.6
19 | 104 26.4 S23 10.7 | 162 30.8 9.1 S14 08.2 13.8 59.8 | Bellatrix 278 25.2 N 6 22.1
20 | 119 26.1 S23 10.6 | 176 58.8 9.0 S14 21.9 13.7 59.9 |
21 | 134 25.8 S23 10.4 | 191 26.7 8.9 S14 35.6 13.7 59.9 | Betelgeuse 270 54.4 N 7 24.6
22 | 149 25.5 S23 10.3 | 205 54.5 8.8 S14 49.2 13.6 59.9 | Canopus 263 52.9 S52 42.4
23 | 164 25.2 S23 10.1 | 220 22.1 8.7 S15 02.7 13.5 60.0 | Capella 280 25.1 N46 01.2
------+-------------------+----------------------------------| Castor 245 59.8 N31 50.4
30 0 | 179 24.9 S23 09.9 | 234 49.7 8.5 S15 16.2 13.5 60.0 | Deneb 49 27.9 N45 21.6
1 | 194 24.6 S23 09.8 | 249 17.1 8.4 S15 29.6 13.4 60.0 |
2 | 209 24.3 S23 09.6 | 263 44.4 8.3 S15 42.9 13.3 60.1 | Denebola 182 27.4 N14 26.9
3 | 224 24.0 S23 09.5 | 278 11.6 8.2 S15 56.1 13.2 60.1 | Diphda 348 49.8 S17 52.2
4 | 239 23.7 S23 09.3 | 292 38.7 8.1 S16 09.3 13.1 60.1 | Dubhe 193 43.8 N61 37.7
T 5 | 254 23.4 S23 09.1 | 307 05.7 8.0 S16 22.3 13.1 60.1 | Elnath 278 04.7 N28 37.5
H | | | Eltanin 90 43.9 N51 29.1
U 6 | 269 23.0 S23 09.0 | 321 32.5 7.9 S16 35.3 13.0 60.2 |
R 7 | 284 22.7 S23 08.8 | 335 59.3 7.7 S16 48.2 12.9 60.2 | Enif 33 41.4 N 9 58.5
S 8 | 299 22.4 S23 08.6 | 350 25.9 7.6 S17 01.0 12.8 60.2 | Fomalhaut 15 17.4 S29 30.6
D 9 | 314 22.1 S23 08.4 | 4 52.4 7.5 S17 13.7 12.7 60.3 | Gacrux 171 54.4 S57 13.8
A 10 | 329 21.8 S23 08.3 | 19 18.8 7.4 S17 26.3 12.6 60.3 | Gienah 175 46.1 S17 39.6
Y 11 | 344 21.5 S23 08.1 | 33 45.0 7.3 S17 38.9 12.5 60.3 | Hadar 148 39.8 S60 28.4
| | |
12 | 359 21.2 S23 07.9 | 48 11.2 7.1 S17 51.3 12.4 60.4 | Hamal 327 53.9 N23 34.0
13 | 14 20.9 S23 07.8 | 62 37.2 7.0 S18 03.6 12.3 60.4 | Kaus Austr. 83 36.3 S34 22.5
14 | 29 20.6 S23 07.6 | 77 03.1 6.9 S18 15.8 12.2 60.4 | Kochab 137 20.7 N74 03.7
15 | 44 20.3 S23 07.4 | 91 28.9 6.8 S18 27.9 12.1 60.4 | Markab 13 32.5 N15 19.4
16 | 59 20.0 S23 07.2 | 105 54.5 6.7 S18 39.9 12.0 60.5 | Menkar 314 08.5 N 4 10.5
17 | 74 19.7 S23 07.1 | 120 20.0 6.5 S18 51.8 11.9 60.5 |
| | | Menkent 148 00.7 S36 28.5
18 | 89 19.4 S23 06.9 | 134 45.4 6.4 S19 03.6 11.8 60.5 | Miaplacidus 221 37.9 S69 48.2
19 | 104 19.1 S23 06.7 | 149 10.7 6.3 S19 15.3 11.7 60.5 | Mirfak 308 31.5 N49 56.5
20 | 119 18.8 S23 06.5 | 163 35.9 6.2 S19 26.9 11.6 60.6 | Nunki 75 51.2 S26 16.2
21 | 134 18.5 S23 06.4 | 178 00.9 6.0 S19 38.3 11.4 60.6 | Peacock 53 10.2 S56 40.1
22 | 149 18.2 S23 06.2 | 192 25.9 5.9 S19 49.6 11.3 60.6 |
23 | 164 17.9 S23 06.0 | 206 50.7 5.8 S20 00.8 11.2 60.6 | Polaris 317 00.9 N89 20.9
------+-------------------+----------------------------------| Pollux 243 20.0 N27 58.3
31 0 | 179 17.6 S23 05.8 | 221 15.3 5.7 S20 11.9 11.1 60.7 | Procyon 244 53.1 N 5 10.1
1 | 194 17.3 S23 05.6 | 235 39.9 5.6 S20 22.9 11.0 60.7 | Rasalhague 96 01.2 N12 32.6
2 | 209 17.0 S23 05.4 | 250 04.3 5.4 S20 33.7 10.8 60.7 | Regulus 207 36.9 N11 51.6
3 | 224 16.7 S23 05.3 | 264 28.6 5.3 S20 44.4 10.7 60.7 |
4 | 239 16.4 S23 05.1 | 278 52.8 5.2 S20 54.9 10.6 60.8 | Rigel 281 05.9 S 8 10.6
F 5 | 254 16.1 S23 04.9 | 293 16.9 5.1 S21 05.4 10.4 60.8 | Rigil Kent 139 44.2 S60 55.2
R | | | Sabik 102 06.0 S15 45.1
I 6 | 269 15.8 S23 04.7 | 307 40.8 5.0 S21 15.7 10.3 60.8 | Schedar 349 33.8 N56 39.6
D 7 | 284 15.5 S23 04.5 | 322 04.7 4.8 S21 25.8 10.2 60.8 | Shaula 96 14.2 S37 07.1
A 8 | 299 15.2 S23 04.3 | 336 28.4 4.7 S21 35.8 10.0 60.8 |
Y 9 | 314 14.9 S23 04.1 | 350 52.0 4.6 S21 45.7 9.9 60.9 | Sirius 258 28.1 S16 44.8
10 | 329 14.6 S23 03.9 | 5 15.5 4.5 S21 55.4 9.7 60.9 | Spica 158 25.0 S11 16.4
11 | 344 14.3 S23 03.8 | 19 38.8 4.4 S22 05.0 9.6 60.9 | Suhail 222 47.7 S43 31.1
| | | Vega 80 35.3 N38 48.2
12 | 359 14.0 S23 03.6 | 34 02.1 4.3 S22 14.4 9.4 60.9 | Zuben-ubi 136 59.7 S16 07.9
13 | 14 13.8 S23 03.4 | 48 25.2 4.1 S22 23.7 9.3 60.9 |
14 | 29 13.5 S23 03.2 | 62 48.3 4.0 S22 32.8 9.1 60.9 |
15 | 44 13.2 S23 03.0 | 77 11.2 3.9 S22 41.8 9.0 61.0 |
16 | 59 12.9 S23 02.8 | 91 34.0 3.8 S22 50.6 8.8 61.0 |
17 | 74 12.6 S23 02.6 | 105 56.7 3.7 S22 59.2 8.7 61.0 |
| | |
18 | 89 12.3 S23 02.4 | 120 19.2 3.6 S23 07.7 8.5 61.0 |
19 | 104 12.0 S23 02.2 | 134 41.7 3.5 S23 16.1 8.3 61.0 |
20 | 119 11.7 S23 02.0 | 149 04.1 3.4 S23 24.2 8.2 61.0 |
21 | 134 11.4 S23 01.8 | 163 26.4 3.3 S23 32.2 8.0 61.1 |
22 | 149 11.1 S23 01.6 | 177 48.5 3.2 S23 40.0 7.8 61.1 |
23 | 164 10.8 S23 01.4 | 192 10.6 3.1 S23 47.7 7.7 61.1 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.2 | S.D. 16.2 16.4 16.6 |
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