
2021 DEC. 17, 18, 19 (FRI, SAT, SUN)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
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
------+----------+-------------------+-------------------+-------------------+--------------------
18 0 | 86 49.6 | 148 15.7 S21 20.7 | 205 38.8 S20 46.8 | 116 18.9 S13 07.8 | 133 40.8 S18 24.1
1 | 101 52.1 | 163 18.1 S21 20.2 | 220 39.4 S20 47.2 | 131 21.0 S13 07.6 | 148 43.0 S18 24.1
2 | 116 54.6 | 178 20.5 S21 19.7 | 235 40.0 S20 47.5 | 146 23.0 S13 07.5 | 163 45.2 S18 24.0
3 | 131 57.0 | 193 23.0 S21 19.2 | 250 40.7 S20 47.9 | 161 25.1 S13 07.3 | 178 47.4 S18 23.9
4 | 146 59.5 | 208 25.4 S21 18.6 | 265 41.3 S20 48.2 | 176 27.1 S13 07.2 | 193 49.6 S18 23.9
S 5 | 162 01.9 | 223 27.8 S21 18.1 | 280 41.9 S20 48.6 | 191 29.2 S13 07.0 | 208 51.9 S18 23.8
A
T 6 | 177 04.4 | 238 30.3 S21 17.6 | 295 42.5 S20 49.0 | 206 31.2 S13 06.9 | 223 54.1 S18 23.7
U 7 | 192 06.9 | 253 32.7 S21 17.1 | 310 43.2 S20 49.3 | 221 33.3 S13 06.7 | 238 56.3 S18 23.7
R 8 | 207 09.3 | 268 35.1 S21 16.5 | 325 43.8 S20 49.7 | 236 35.4 S13 06.6 | 253 58.5 S18 23.6
D 9 | 222 11.8 | 283 37.6 S21 16.0 | 340 44.4 S20 50.0 | 251 37.4 S13 06.4 | 269 00.7 S18 23.5
A 10 | 237 14.3 | 298 40.1 S21 15.5 | 355 45.1 S20 50.4 | 266 39.5 S13 06.3 | 284 03.0 S18 23.5
Y 11 | 252 16.7 | 313 42.5 S21 14.9 | 10 45.7 S20 50.8 | 281 41.5 S13 06.1 | 299 05.2 S18 23.4
12 | 267 19.2 | 328 45.0 S21 14.4 | 25 46.3 S20 51.1 | 296 43.6 S13 06.0 | 314 07.4 S18 23.3
13 | 282 21.7 | 343 47.5 S21 13.9 | 40 46.9 S20 51.5 | 311 45.6 S13 05.8 | 329 09.6 S18 23.3
14 | 297 24.1 | 358 49.9 S21 13.4 | 55 47.6 S20 51.8 | 326 47.7 S13 05.7 | 344 11.8 S18 23.2
15 | 312 26.6 | 13 52.4 S21 12.8 | 70 48.2 S20 52.2 | 341 49.7 S13 05.5 | 359 14.0 S18 23.1
16 | 327 29.1 | 28 54.9 S21 12.3 | 85 48.8 S20 52.5 | 356 51.8 S13 05.3 | 14 16.3 S18 23.1
17 | 342 31.5 | 43 57.4 S21 11.8 | 100 49.4 S20 52.9 | 11 53.8 S13 05.2 | 29 18.5 S18 23.0
18 | 357 34.0 | 58 59.9 S21 11.3 | 115 50.1 S20 53.3 | 26 55.9 S13 05.0 | 44 20.7 S18 23.0
19 | 12 36.4 | 74 02.4 S21 10.8 | 130 50.7 S20 53.6 | 41 57.9 S13 04.9 | 59 22.9 S18 22.9
20 | 27 38.9 | 89 04.9 S21 10.2 | 145 51.3 S20 54.0 | 56 60.0 S13 04.7 | 74 25.1 S18 22.8
21 | 42 41.4 | 104 07.4 S21 09.7 | 160 51.9 S20 54.3 | 72 02.0 S13 04.6 | 89 27.3 S18 22.8
22 | 57 43.8 | 119 09.9 S21 09.2 | 175 52.6 S20 54.7 | 87 04.1 S13 04.4 | 104 29.6 S18 22.7
23 | 72 46.3 | 134 12.4 S21 08.7 | 190 53.2 S20 55.0 | 102 06.1 S13 04.3 | 119 31.8 S18 22.6
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 87 48.8 | 149 14.9 S21 08.1 | 205 53.8 S20 55.4 | 117 08.2 S13 04.1 | 134 34.0 S18 22.6
1 | 102 51.2 | 164 17.5 S21 07.6 | 220 54.4 S20 55.7 | 132 10.2 S13 04.0 | 149 36.2 S18 22.5
2 | 117 53.7 | 179 20.0 S21 07.1 | 235 55.0 S20 56.1 | 147 12.3 S13 03.8 | 164 38.4 S18 22.4
3 | 132 56.2 | 194 22.5 S21 06.6 | 250 55.7 S20 56.4 | 162 14.3 S13 03.7 | 179 40.6 S18 22.4
4 | 147 58.6 | 209 25.1 S21 06.0 | 265 56.3 S20 56.8 | 177 16.4 S13 03.5 | 194 42.9 S18 22.3
S 5 | 163 01.1 | 224 27.6 S21 05.5 | 280 56.9 S20 57.2 | 192 18.4 S13 03.4 | 209 45.1 S18 22.2
U
N 6 | 178 03.6 | 239 30.2 S21 05.0 | 295 57.5 S20 57.5 | 207 20.5 S13 03.2 | 224 47.3 S18 22.2
D 7 | 193 06.0 | 254 32.7 S21 04.5 | 310 58.2 S20 57.9 | 222 22.5 S13 03.0 | 239 49.5 S18 22.1
A 8 | 208 08.5 | 269 35.3 S21 03.9 | 325 58.8 S20 58.2 | 237 24.6 S13 02.9 | 254 51.7 S18 22.0
Y 9 | 223 10.9 | 284 37.8 S21 03.4 | 340 59.4 S20 58.6 | 252 26.6 S13 02.7 | 269 53.9 S18 22.0
10 | 238 13.4 | 299 40.4 S21 02.9 | 356 00.0 S20 58.9 | 267 28.7 S13 02.6 | 284 56.2 S18 21.9
11 | 253 15.9 | 314 43.0 S21 02.4 | 11 00.6 S20 59.3 | 282 30.7 S13 02.4 | 299 58.4 S18 21.8
12 | 268 18.3 | 329 45.6 S21 01.9 | 26 01.3 S20 59.6 | 297 32.8 S13 02.3 | 315 00.6 S18 21.8
13 | 283 20.8 | 344 48.1 S21 01.3 | 41 01.9 S20 60.0 | 312 34.8 S13 02.1 | 330 02.8 S18 21.7
14 | 298 23.3 | 359 50.7 S21 00.8 | 56 02.5 S21 00.3 | 327 36.9 S13 02.0 | 345 05.0 S18 21.6
15 | 313 25.7 | 14 53.3 S21 00.3 | 71 03.1 S21 00.7 | 342 38.9 S13 01.8 | 0 07.2 S18 21.6
16 | 328 28.2 | 29 55.9 S20 59.8 | 86 03.7 S21 01.0 | 357 41.0 S13 01.7 | 15 09.4 S18 21.5
17 | 343 30.7 | 44 58.5 S20 59.2 | 101 04.4 S21 01.4 | 12 43.0 S13 01.5 | 30 11.7 S18 21.4
18 | 358 33.1 | 60 01.1 S20 58.7 | 116 05.0 S21 01.7 | 27 45.0 S13 01.3 | 45 13.9 S18 21.4
19 | 13 35.6 | 75 03.7 S20 58.2 | 131 05.6 S21 02.1 | 42 47.1 S13 01.2 | 60 16.1 S18 21.3
20 | 28 38.1 | 90 06.3 S20 57.7 | 146 06.2 S21 02.4 | 57 49.1 S13 01.0 | 75 18.3 S18 21.2
21 | 43 40.5 | 105 09.0 S20 57.2 | 161 06.8 S21 02.8 | 72 51.2 S13 00.9 | 90 20.5 S18 21.2
22 | 58 43.0 | 120 11.6 S20 56.6 | 176 07.5 S21 03.1 | 87 53.2 S13 00.7 | 105 22.7 S18 21.1
23 | 73 45.4 | 135 14.2 S20 56.1 | 191 08.1 S21 03.5 | 102 55.3 S13 00.6 | 120 24.9 S18 21.0
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| v 2.5 d 0.5 | v 0.6 d 0.4 | v 2.1 d 0.2 | v 2.2 d 0.1
2021 DEC. 17, 18, 19 (FRI, SAT, SUN)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
17 0 | 181 00.9 S23 21.1 | 26 20.0 13.2 N20 28.5 8.7 54.0 | Acamar 315 13.4 S40 13.2
1 | 196 00.6 S23 21.2 | 40 52.2 13.2 N20 37.1 8.6 54.0 | Achernar 335 21.8 S57 07.9
2 | 211 00.3 S23 21.3 | 55 24.3 13.1 N20 45.5 8.5 54.0 | Acrux 173 03.0 S63 12.8
3 | 225 60.0 S23 21.4 | 69 56.4 13.1 N20 53.9 8.4 54.0 | Adhara 255 07.5 S29 00.0
4 | 240 59.7 S23 21.5 | 84 28.4 13.0 N21 02.2 8.3 54.0 | Albireo 67 06.4 N28 00.4
F 5 | 255 59.4 S23 21.6 | 99 00.4 13.0 N21 10.4 8.2 54.0 |
R | | | Aldebaran 290 42.2 N16 33.2
I 6 | 270 59.1 S23 21.7 | 113 32.3 12.9 N21 18.5 8.1 54.0 | Alioth 166 15.4 N55 50.3
D 7 | 285 58.8 S23 21.8 | 128 04.2 12.9 N21 26.6 8.0 54.0 | Alkaid 152 54.3 N49 12.1
A 8 | 300 58.5 S23 21.8 | 142 36.0 12.8 N21 34.5 7.9 54.0 | Al Na-ir 27 36.3 S46 51.6
Y 9 | 315 58.2 S23 21.9 | 157 07.7 12.8 N21 42.3 7.8 54.0 | Alnilam 275 39.9 S 1 11.3
10 | 330 57.8 S23 22.0 | 171 39.4 12.7 N21 50.1 7.7 54.0 |
11 | 345 57.5 S23 22.1 | 186 11.1 12.6 N21 57.7 7.6 54.0 | Alphard 217 50.0 S 8 45.1
| | | Alphecca 126 06.2 N26 38.4
12 | 0 57.2 S23 22.2 | 200 42.7 12.6 N22 05.2 7.5 54.0 | Alpheratz 357 37.3 N29 12.8
13 | 15 56.9 S23 22.3 | 215 14.2 12.5 N22 12.7 7.4 54.0 | Altair 62 02.7 N 8 55.6
14 | 30 56.6 S23 22.3 | 229 45.7 12.5 N22 20.0 7.4 54.0 | Ankaa 353 09.6 S42 11.6
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 | Antares 112 19.3 S26 28.7
17 | 75 55.7 S23 22.6 | 273 19.8 12.3 N22 41.5 7.1 54.0 | Arcturus 145 50.5 N19 04.1
| | | Atria 107 16.4 S69 03.9
18 | 90 55.4 S23 22.7 | 287 51.1 12.3 N22 48.4 7.0 54.0 | Avior 234 15.2 S59 34.5
19 | 105 55.1 S23 22.7 | 302 22.3 12.2 N22 55.3 6.8 54.0 | Bellatrix 278 25.2 N 6 22.2
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 | Betelgeuse 270 54.5 N 7 24.7
22 | 150 54.2 S23 23.0 | 345 55.6 12.1 N23 15.2 6.5 54.0 | Canopus 263 52.9 S52 42.4
23 | 165 53.9 S23 23.0 | 0 26.6 12.0 N23 21.7 6.4 54.0 | Capella 280 25.1 N46 01.2
------+-------------------+----------------------------------| Castor 245 59.9 N31 50.4
18 0 | 180 53.6 S23 23.1 | 14 57.6 12.0 N23 28.0 6.3 54.0 | Deneb 49 27.8 N45 21.6
1 | 195 53.3 S23 23.2 | 29 28.5 11.9 N23 34.2 6.2 54.0 |
2 | 210 53.0 S23 23.2 | 43 59.4 11.9 N23 40.3 6.1 54.0 | Denebola 182 27.5 N14 27.0
3 | 225 52.7 S23 23.3 | 58 30.2 11.8 N23 46.4 6.0 54.0 | Diphda 348 49.8 S17 52.1
4 | 240 52.3 S23 23.4 | 73 00.9 11.8 N23 52.3 5.9 54.0 | Dubhe 193 44.0 N61 37.7
S 5 | 255 52.0 S23 23.4 | 87 31.6 11.7 N23 58.1 5.8 54.0 | Elnath 278 04.7 N28 37.5
A | | | Eltanin 90 43.9 N51 29.1
T 6 | 270 51.7 S23 23.5 | 102 02.3 11.7 N24 03.7 5.7 54.0 |
U 7 | 285 51.4 S23 23.6 | 116 32.9 11.6 N24 09.3 5.6 54.0 | Enif 33 41.4 N 9 58.5
R 8 | 300 51.1 S23 23.6 | 131 03.5 11.6 N24 14.8 5.5 54.0 | Fomalhaut 15 17.4 S29 30.6
D 9 | 315 50.8 S23 23.7 | 145 34.0 11.5 N24 20.2 5.4 54.0 | Gacrux 171 54.5 S57 13.8
A 10 | 330 50.5 S23 23.8 | 160 04.5 11.5 N24 25.4 5.2 54.0 | Gienah 175 46.2 S17 39.6
Y 11 | 345 50.2 S23 23.8 | 174 34.9 11.4 N24 30.5 5.1 54.0 | Hadar 148 40.0 S60 28.4
| | |
12 | 0 49.9 S23 23.9 | 189 05.3 11.4 N24 35.6 5.0 54.0 | Hamal 327 53.8 N23 34.0
13 | 15 49.6 S23 24.0 | 203 35.6 11.3 N24 40.5 4.9 54.0 | Kaus Austr. 83 36.3 S34 22.5
14 | 30 49.3 S23 24.0 | 218 05.9 11.3 N24 45.3 4.8 54.0 | Kochab 137 20.9 N74 03.7
15 | 45 49.0 S23 24.1 | 232 36.1 11.2 N24 49.9 4.7 54.0 | Markab 13 32.5 N15 19.4
16 | 60 48.7 S23 24.1 | 247 06.3 11.2 N24 54.5 4.6 54.0 | Menkar 314 08.5 N 4 10.5
17 | 75 48.4 S23 24.2 | 261 36.5 11.2 N24 58.9 4.4 54.0 |
| | | Menkent 148 00.8 S36 28.5
18 | 90 48.1 S23 24.3 | 276 06.6 11.1 N25 03.3 4.3 54.0 | Miaplacidus 221 38.0 S69 48.1
19 | 105 47.7 S23 24.3 | 290 36.7 11.1 N25 07.5 4.2 54.0 | Mirfak 308 31.4 N49 56.4
20 | 120 47.4 S23 24.4 | 305 06.7 11.0 N25 11.6 4.1 54.0 | Nunki 75 51.3 S26 16.2
21 | 135 47.1 S23 24.4 | 319 36.7 11.0 N25 15.6 4.0 54.0 | Peacock 53 10.1 S56 40.1
22 | 150 46.8 S23 24.5 | 334 06.6 11.0 N25 19.4 3.9 54.0 |
23 | 165 46.5 S23 24.5 | 348 36.6 10.9 N25 23.2 3.7 54.0 | Polaris 316 57.3 N89 20.8
------+-------------------+----------------------------------| Pollux 243 20.0 N27 58.3
19 0 | 180 46.2 S23 24.6 | 3 06.5 10.9 N25 26.8 3.6 54.0 | Procyon 244 53.2 N 5 10.1
1 | 195 45.9 S23 24.6 | 17 36.3 10.8 N25 30.3 3.5 54.0 | Rasalhague 96 01.3 N12 32.7
2 | 210 45.6 S23 24.7 | 32 06.1 10.8 N25 33.7 3.4 54.0 | Regulus 207 37.0 N11 51.6
3 | 225 45.3 S23 24.7 | 46 35.9 10.8 N25 37.0 3.3 54.0 |
4 | 240 45.0 S23 24.8 | 61 05.6 10.7 N25 40.1 3.1 54.0 | Rigel 281 05.9 S 8 10.6
S 5 | 255 44.7 S23 24.8 | 75 35.3 10.7 N25 43.1 3.0 54.0 | Rigil Kent 139 44.4 S60 55.2
U | | | Sabik 102 06.0 S15 45.1
N 6 | 270 44.4 S23 24.9 | 90 05.0 10.7 N25 46.0 2.9 54.0 | Schedar 349 33.7 N56 39.6
D 7 | 285 44.1 S23 24.9 | 104 34.7 10.6 N25 48.8 2.8 54.0 | Shaula 96 14.2 S37 07.1
A 8 | 300 43.7 S23 25.0 | 119 04.3 10.6 N25 51.4 2.7 54.0 |
Y 9 | 315 43.4 S23 25.0 | 133 33.9 10.6 N25 54.0 2.5 54.0 | Sirius 258 28.1 S16 44.7
10 | 330 43.1 S23 25.1 | 148 03.4 10.6 N25 56.4 2.4 54.0 | Spica 158 25.1 S11 16.4
11 | 345 42.8 S23 25.1 | 162 32.9 10.5 N25 58.7 2.3 54.0 | Suhail 222 47.8 S43 31.0
| | | Vega 80 35.3 N38 48.3
12 | 0 42.5 S23 25.1 | 177 02.5 10.5 N26 00.8 2.2 54.0 | Zuben-ubi 136 59.8 S16 07.8
13 | 15 42.2 S23 25.2 | 191 31.9 10.5 N26 02.9 2.0 54.1 |
14 | 30 41.9 S23 25.2 | 206 01.4 10.5 N26 04.8 1.9 54.1 |
15 | 45 41.6 S23 25.3 | 220 30.8 10.4 N26 06.6 1.8 54.1 |
16 | 60 41.3 S23 25.3 | 235 00.2 10.4 N26 08.2 1.7 54.1 |
17 | 75 41.0 S23 25.4 | 249 29.6 10.4 N26 09.8 1.5 54.1 |
| | |
18 | 90 40.7 S23 25.4 | 263 59.0 10.4 N26 11.2 1.4 54.1 |
19 | 105 40.4 S23 25.4 | 278 28.3 10.3 N26 12.4 1.3 54.1 |
20 | 120 40.1 S23 25.5 | 292 57.7 10.3 N26 13.6 1.2 54.1 |
21 | 135 39.7 S23 25.5 | 307 27.0 10.3 N26 14.6 1.0 54.1 |
22 | 150 39.4 S23 25.5 | 321 56.3 10.3 N26 15.5 0.9 54.1 |
23 | 165 39.1 S23 25.6 | 336 25.6 10.3 N26 16.3 0.8 54.1 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 14.7 14.7 14.7 |
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