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2021 DEC. 18, 19, 20 (SAT, SUN, MON)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
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
------+----------+-------------------+-------------------+-------------------+--------------------
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
------+----------+-------------------+-------------------+-------------------+--------------------
| v 2.6 d 0.5 | v 0.6 d 0.4 | v 2.0 d 0.2 | v 2.2 d 0.1
2021 DEC. 18, 19, 20 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 180 53.6 S23 23.1 | 14 57.6 12.0 N23 28.0 6.3 54.0 | Acamar 315 13.4 S40 13.2
1 | 195 53.3 S23 23.2 | 29 28.5 11.9 N23 34.2 6.2 54.0 | Achernar 335 21.8 S57 07.9
2 | 210 53.0 S23 23.2 | 43 59.4 11.9 N23 40.3 6.1 54.0 | Acrux 173 03.0 S63 12.8
3 | 225 52.7 S23 23.3 | 58 30.2 11.8 N23 46.4 6.0 54.0 | Adhara 255 07.5 S29 00.0
4 | 240 52.3 S23 23.4 | 73 00.9 11.8 N23 52.3 5.9 54.0 | Albireo 67 06.4 N28 00.4
S 5 | 255 52.0 S23 23.4 | 87 31.6 11.7 N23 58.1 5.8 54.0 |
A | | | Aldebaran 290 42.2 N16 33.2
T 6 | 270 51.7 S23 23.5 | 102 02.3 11.7 N24 03.7 5.7 54.0 | Alioth 166 15.4 N55 50.3
U 7 | 285 51.4 S23 23.6 | 116 32.9 11.6 N24 09.3 5.6 54.0 | Alkaid 152 54.3 N49 12.1
R 8 | 300 51.1 S23 23.6 | 131 03.5 11.6 N24 14.8 5.5 54.0 | Al Na-ir 27 36.3 S46 51.6
D 9 | 315 50.8 S23 23.7 | 145 34.0 11.5 N24 20.2 5.4 54.0 | Alnilam 275 39.9 S 1 11.3
A 10 | 330 50.5 S23 23.8 | 160 04.5 11.5 N24 25.4 5.2 54.0 |
Y 11 | 345 50.2 S23 23.8 | 174 34.9 11.4 N24 30.5 5.1 54.0 | Alphard 217 50.0 S 8 45.1
| | | Alphecca 126 06.2 N26 38.4
12 | 0 49.9 S23 23.9 | 189 05.3 11.4 N24 35.6 5.0 54.0 | Alpheratz 357 37.3 N29 12.8
13 | 15 49.6 S23 24.0 | 203 35.6 11.3 N24 40.5 4.9 54.0 | Altair 62 02.7 N 8 55.6
14 | 30 49.3 S23 24.0 | 218 05.9 11.3 N24 45.3 4.8 54.0 | Ankaa 353 09.6 S42 11.6
15 | 45 49.0 S23 24.1 | 232 36.1 11.2 N24 49.9 4.7 54.0 |
16 | 60 48.7 S23 24.1 | 247 06.3 11.2 N24 54.5 4.6 54.0 | Antares 112 19.3 S26 28.7
17 | 75 48.4 S23 24.2 | 261 36.5 11.2 N24 58.9 4.4 54.0 | Arcturus 145 50.4 N19 04.1
| | | Atria 107 16.4 S69 03.9
18 | 90 48.1 S23 24.3 | 276 06.6 11.1 N25 03.3 4.3 54.0 | Avior 234 15.2 S59 34.6
19 | 105 47.7 S23 24.3 | 290 36.7 11.1 N25 07.5 4.2 54.0 | Bellatrix 278 25.2 N 6 22.2
20 | 120 47.4 S23 24.4 | 305 06.7 11.0 N25 11.6 4.1 54.0 |
21 | 135 47.1 S23 24.4 | 319 36.7 11.0 N25 15.6 4.0 54.0 | Betelgeuse 270 54.5 N 7 24.7
22 | 150 46.8 S23 24.5 | 334 06.6 11.0 N25 19.4 3.9 54.0 | Canopus 263 52.9 S52 42.4
23 | 165 46.5 S23 24.5 | 348 36.6 10.9 N25 23.2 3.7 54.0 | Capella 280 25.1 N46 01.2
------+-------------------+----------------------------------| Castor 245 59.9 N31 50.4
19 0 | 180 46.2 S23 24.6 | 3 06.5 10.9 N25 26.8 3.6 54.0 | Deneb 49 27.8 N45 21.6
1 | 195 45.9 S23 24.6 | 17 36.3 10.8 N25 30.3 3.5 54.0 |
2 | 210 45.6 S23 24.7 | 32 06.1 10.8 N25 33.7 3.4 54.0 | Denebola 182 27.5 N14 27.0
3 | 225 45.3 S23 24.7 | 46 35.9 10.8 N25 37.0 3.3 54.0 | Diphda 348 49.8 S17 52.1
4 | 240 45.0 S23 24.8 | 61 05.6 10.7 N25 40.1 3.1 54.0 | Dubhe 193 44.0 N61 37.7
S 5 | 255 44.7 S23 24.8 | 75 35.3 10.7 N25 43.1 3.0 54.0 | Elnath 278 04.7 N28 37.5
U | | | Eltanin 90 43.9 N51 29.1
N 6 | 270 44.4 S23 24.9 | 90 05.0 10.7 N25 46.0 2.9 54.0 |
D 7 | 285 44.1 S23 24.9 | 104 34.7 10.6 N25 48.8 2.8 54.0 | Enif 33 41.4 N 9 58.5
A 8 | 300 43.7 S23 25.0 | 119 04.3 10.6 N25 51.4 2.7 54.0 | Fomalhaut 15 17.4 S29 30.6
Y 9 | 315 43.4 S23 25.0 | 133 33.9 10.6 N25 54.0 2.5 54.0 | Gacrux 171 54.5 S57 13.8
10 | 330 43.1 S23 25.1 | 148 03.4 10.6 N25 56.4 2.4 54.0 | Gienah 175 46.2 S17 39.6
11 | 345 42.8 S23 25.1 | 162 32.9 10.5 N25 58.7 2.3 54.0 | Hadar 148 40.0 S60 28.4
| | |
12 | 0 42.5 S23 25.1 | 177 02.5 10.5 N26 00.8 2.2 54.0 | Hamal 327 53.8 N23 34.0
13 | 15 42.2 S23 25.2 | 191 31.9 10.5 N26 02.9 2.0 54.1 | Kaus Austr. 83 36.3 S34 22.5
14 | 30 41.9 S23 25.2 | 206 01.4 10.5 N26 04.8 1.9 54.1 | Kochab 137 20.9 N74 03.7
15 | 45 41.6 S23 25.3 | 220 30.8 10.4 N26 06.6 1.8 54.1 | Markab 13 32.5 N15 19.4
16 | 60 41.3 S23 25.3 | 235 00.2 10.4 N26 08.2 1.7 54.1 | Menkar 314 08.5 N 4 10.5
17 | 75 41.0 S23 25.4 | 249 29.6 10.4 N26 09.8 1.5 54.1 |
| | | Menkent 148 00.8 S36 28.5
18 | 90 40.7 S23 25.4 | 263 59.0 10.4 N26 11.2 1.4 54.1 | Miaplacidus 221 38.0 S69 48.1
19 | 105 40.4 S23 25.4 | 278 28.3 10.3 N26 12.4 1.3 54.1 | Mirfak 308 31.4 N49 56.4
20 | 120 40.1 S23 25.5 | 292 57.7 10.3 N26 13.6 1.2 54.1 | Nunki 75 51.2 S26 16.2
21 | 135 39.7 S23 25.5 | 307 27.0 10.3 N26 14.6 1.0 54.1 | Peacock 53 10.1 S56 40.1
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 | Polaris 316 57.5 N89 20.8
------+-------------------+----------------------------------| Pollux 243 20.0 N27 58.3
20 0 | 180 38.8 S23 25.6 | 350 54.8 10.3 N26 16.9 0.6 54.1 | Procyon 244 53.2 N 5 10.1
1 | 195 38.5 S23 25.6 | 5 24.1 10.3 N26 17.5 0.5 54.1 | Rasalhague 96 01.3 N12 32.7
2 | 210 38.2 S23 25.7 | 19 53.3 10.2 N26 17.9 0.4 54.1 | Regulus 207 37.0 N11 51.6
3 | 225 37.9 S23 25.7 | 34 22.6 10.2 N26 18.1 0.3 54.1 |
4 | 240 37.6 S23 25.7 | 48 51.8 10.2 N26 18.3 0.1 54.1 | Rigel 281 05.9 S 8 10.6
M 5 | 255 37.3 S23 25.8 | 63 21.0 10.2 N26 18.3 0.0 54.2 | Rigil Kent 139 44.3 S60 55.2
O | | | Sabik 102 06.0 S15 45.1
N 6 | 270 37.0 S23 25.8 | 77 50.2 10.2 N26 18.2 0.1 54.2 | Schedar 349 33.7 N56 39.6
D 7 | 285 36.7 S23 25.8 | 92 19.4 10.2 N26 17.9 0.2 54.2 | Shaula 96 14.2 S37 07.1
A 8 | 300 36.3 S23 25.8 | 106 48.6 10.2 N26 17.5 0.4 54.2 |
Y 9 | 315 36.0 S23 25.9 | 121 17.8 10.2 N26 17.0 0.5 54.2 | Sirius 258 28.1 S16 44.7
10 | 330 35.7 S23 25.9 | 135 47.0 10.2 N26 16.4 0.6 54.2 | Spica 158 25.1 S11 16.4
11 | 345 35.4 S23 25.9 | 150 16.2 10.2 N26 15.6 0.8 54.2 | Suhail 222 47.8 S43 31.0
| | | Vega 80 35.3 N38 48.3
12 | 0 35.1 S23 25.9 | 164 45.4 10.2 N26 14.7 0.9 54.2 | Zuben-ubi 136 59.8 S16 07.8
13 | 15 34.8 S23 26.0 | 179 14.6 10.2 N26 13.7 1.0 54.2 |
14 | 30 34.5 S23 26.0 | 193 43.8 10.2 N26 12.6 1.1 54.2 |
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 |
17 | 75 33.6 S23 26.0 | 237 11.4 10.2 N26 08.4 1.5 54.3 |
| | |
18 | 90 33.3 S23 26.1 | 251 40.6 10.2 N26 06.7 1.7 54.3 |
19 | 105 32.9 S23 26.1 | 266 09.8 10.2 N26 04.9 1.8 54.3 |
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 |
22 | 150 32.0 S23 26.1 | 309 37.5 10.2 N25 58.8 2.2 54.3 |
23 | 165 31.7 S23 26.1 | 324 06.7 10.3 N25 56.5 2.3 54.3 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 14.7 14.7 14.8 |