
2021 DEC. 1, 2, 3 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
1 0 | 70 04.3 | 137 25.9 S24 47.4 | 201 04.1 S17 55.3 | 102 03.3 S14 02.7 | 118 26.6 S18 48.0
1 | 85 06.7 | 152 26.8 S24 46.9 | 216 04.8 S17 55.8 | 117 05.5 S14 02.6 | 133 28.9 S18 48.0
2 | 100 09.2 | 167 27.7 S24 46.5 | 231 05.5 S17 56.3 | 132 07.6 S14 02.5 | 148 31.2 S18 47.9
3 | 115 11.6 | 182 28.6 S24 46.0 | 246 06.3 S17 56.8 | 147 09.8 S14 02.4 | 163 33.4 S18 47.9
4 | 130 14.1 | 197 29.5 S24 45.6 | 261 07.0 S17 57.2 | 162 11.9 S14 02.3 | 178 35.7 S18 47.8
W 5 | 145 16.6 | 212 30.4 S24 45.1 | 276 07.7 S17 57.7 | 177 14.0 S14 02.2 | 193 38.0 S18 47.8
E
D 6 | 160 19.0 | 227 31.4 S24 44.7 | 291 08.4 S17 58.2 | 192 16.2 S14 02.0 | 208 40.2 S18 47.7
N 7 | 175 21.5 | 242 32.3 S24 44.2 | 306 09.1 S17 58.6 | 207 18.3 S14 01.9 | 223 42.5 S18 47.7
E 8 | 190 24.0 | 257 33.2 S24 43.8 | 321 09.9 S17 59.1 | 222 20.5 S14 01.8 | 238 44.8 S18 47.6
S 9 | 205 26.4 | 272 34.1 S24 43.3 | 336 10.6 S17 59.6 | 237 22.6 S14 01.7 | 253 47.0 S18 47.6
D 10 | 220 28.9 | 287 35.0 S24 42.9 | 351 11.3 S18 00.1 | 252 24.8 S14 01.6 | 268 49.3 S18 47.5
A 11 | 235 31.4 | 302 35.9 S24 42.4 | 6 12.0 S18 00.5 | 267 26.9 S14 01.4 | 283 51.6 S18 47.5
Y
12 | 250 33.8 | 317 36.9 S24 41.9 | 21 12.7 S18 01.0 | 282 29.0 S14 01.3 | 298 53.8 S18 47.4
13 | 265 36.3 | 332 37.8 S24 41.5 | 36 13.4 S18 01.5 | 297 31.2 S14 01.2 | 313 56.1 S18 47.4
14 | 280 38.8 | 347 38.7 S24 41.0 | 51 14.1 S18 01.9 | 312 33.3 S14 01.1 | 328 58.3 S18 47.3
15 | 295 41.2 | 2 39.7 S24 40.6 | 66 14.9 S18 02.4 | 327 35.5 S14 01.0 | 344 00.6 S18 47.3
16 | 310 43.7 | 17 40.6 S24 40.1 | 81 15.6 S18 02.9 | 342 37.6 S14 00.9 | 359 02.9 S18 47.2
17 | 325 46.1 | 32 41.6 S24 39.7 | 96 16.3 S18 03.4 | 357 39.7 S14 00.7 | 14 05.1 S18 47.2
18 | 340 48.6 | 47 42.5 S24 39.2 | 111 17.0 S18 03.8 | 12 41.9 S14 00.6 | 29 07.4 S18 47.1
19 | 355 51.1 | 62 43.4 S24 38.7 | 126 17.7 S18 04.3 | 27 44.0 S14 00.5 | 44 09.7 S18 47.1
20 | 10 53.5 | 77 44.4 S24 38.3 | 141 18.4 S18 04.8 | 42 46.2 S14 00.4 | 59 11.9 S18 47.0
21 | 25 56.0 | 92 45.3 S24 37.8 | 156 19.2 S18 05.2 | 57 48.3 S14 00.3 | 74 14.2 S18 46.9
22 | 40 58.5 | 107 46.3 S24 37.4 | 171 19.9 S18 05.7 | 72 50.4 S14 00.1 | 89 16.4 S18 46.9
23 | 56 00.9 | 122 47.3 S24 36.9 | 186 20.6 S18 06.2 | 87 52.6 S14 00.0 | 104 18.7 S18 46.8
------+----------+-------------------+-------------------+-------------------+--------------------
2 0 | 71 03.4 | 137 48.2 S24 36.5 | 201 21.3 S18 06.6 | 102 54.7 S13 59.9 | 119 21.0 S18 46.8
1 | 86 05.9 | 152 49.2 S24 36.0 | 216 22.0 S18 07.1 | 117 56.8 S13 59.8 | 134 23.2 S18 46.7
2 | 101 08.3 | 167 50.2 S24 35.5 | 231 22.7 S18 07.6 | 132 59.0 S13 59.7 | 149 25.5 S18 46.7
3 | 116 10.8 | 182 51.1 S24 35.1 | 246 23.4 S18 08.0 | 148 01.1 S13 59.6 | 164 27.7 S18 46.6
4 | 131 13.3 | 197 52.1 S24 34.6 | 261 24.1 S18 08.5 | 163 03.3 S13 59.4 | 179 30.0 S18 46.6
T 5 | 146 15.7 | 212 53.1 S24 34.1 | 276 24.9 S18 09.0 | 178 05.4 S13 59.3 | 194 32.3 S18 46.5
H
U 6 | 161 18.2 | 227 54.1 S24 33.7 | 291 25.6 S18 09.4 | 193 07.5 S13 59.2 | 209 34.5 S18 46.5
R 7 | 176 20.6 | 242 55.0 S24 33.2 | 306 26.3 S18 09.9 | 208 09.7 S13 59.1 | 224 36.8 S18 46.4
S 8 | 191 23.1 | 257 56.0 S24 32.8 | 321 27.0 S18 10.4 | 223 11.8 S13 59.0 | 239 39.1 S18 46.4
D 9 | 206 25.6 | 272 57.0 S24 32.3 | 336 27.7 S18 10.8 | 238 13.9 S13 58.8 | 254 41.3 S18 46.3
A 10 | 221 28.0 | 287 58.0 S24 31.8 | 351 28.4 S18 11.3 | 253 16.1 S13 58.7 | 269 43.6 S18 46.3
Y 11 | 236 30.5 | 302 59.0 S24 31.4 | 6 29.1 S18 11.8 | 268 18.2 S13 58.6 | 284 45.8 S18 46.2
12 | 251 33.0 | 317 60.0 S24 30.9 | 21 29.8 S18 12.2 | 283 20.3 S13 58.5 | 299 48.1 S18 46.2
13 | 266 35.4 | 333 01.0 S24 30.4 | 36 30.5 S18 12.7 | 298 22.5 S13 58.4 | 314 50.4 S18 46.1
14 | 281 37.9 | 348 02.0 S24 30.0 | 51 31.3 S18 13.2 | 313 24.6 S13 58.2 | 329 52.6 S18 46.1
15 | 296 40.4 | 3 03.0 S24 29.5 | 66 32.0 S18 13.6 | 328 26.7 S13 58.1 | 344 54.9 S18 46.0
16 | 311 42.8 | 18 04.0 S24 29.0 | 81 32.7 S18 14.1 | 343 28.9 S13 58.0 | 359 57.1 S18 45.9
17 | 326 45.3 | 33 05.0 S24 28.6 | 96 33.4 S18 14.6 | 358 31.0 S13 57.9 | 14 59.4 S18 45.9
18 | 341 47.7 | 48 06.0 S24 28.1 | 111 34.1 S18 15.0 | 13 33.1 S13 57.8 | 30 01.7 S18 45.8
19 | 356 50.2 | 63 07.1 S24 27.6 | 126 34.8 S18 15.5 | 28 35.3 S13 57.6 | 45 03.9 S18 45.8
20 | 11 52.7 | 78 08.1 S24 27.2 | 141 35.5 S18 16.0 | 43 37.4 S13 57.5 | 60 06.2 S18 45.7
21 | 26 55.1 | 93 09.1 S24 26.7 | 156 36.2 S18 16.4 | 58 39.5 S13 57.4 | 75 08.4 S18 45.7
22 | 41 57.6 | 108 10.1 S24 26.2 | 171 36.9 S18 16.9 | 73 41.7 S13 57.3 | 90 10.7 S18 45.6
23 | 57 00.1 | 123 11.2 S24 25.7 | 186 37.6 S18 17.3 | 88 43.8 S13 57.1 | 105 13.0 S18 45.6
------+----------+-------------------+-------------------+-------------------+--------------------
3 0 | 72 02.5 | 138 12.2 S24 25.3 | 201 38.3 S18 17.8 | 103 45.9 S13 57.0 | 120 15.2 S18 45.5
1 | 87 05.0 | 153 13.2 S24 24.8 | 216 39.0 S18 18.3 | 118 48.1 S13 56.9 | 135 17.5 S18 45.5
2 | 102 07.5 | 168 14.3 S24 24.3 | 231 39.8 S18 18.7 | 133 50.2 S13 56.8 | 150 19.7 S18 45.4
3 | 117 09.9 | 183 15.3 S24 23.9 | 246 40.5 S18 19.2 | 148 52.3 S13 56.7 | 165 22.0 S18 45.4
4 | 132 12.4 | 198 16.4 S24 23.4 | 261 41.2 S18 19.7 | 163 54.5 S13 56.5 | 180 24.2 S18 45.3
F 5 | 147 14.9 | 213 17.4 S24 22.9 | 276 41.9 S18 20.1 | 178 56.6 S13 56.4 | 195 26.5 S18 45.3
R
I 6 | 162 17.3 | 228 18.5 S24 22.4 | 291 42.6 S18 20.6 | 193 58.7 S13 56.3 | 210 28.8 S18 45.2
D 7 | 177 19.8 | 243 19.5 S24 22.0 | 306 43.3 S18 21.0 | 209 00.9 S13 56.2 | 225 31.0 S18 45.1
A 8 | 192 22.2 | 258 20.6 S24 21.5 | 321 44.0 S18 21.5 | 224 03.0 S13 56.1 | 240 33.3 S18 45.1
Y 9 | 207 24.7 | 273 21.6 S24 21.0 | 336 44.7 S18 22.0 | 239 05.1 S13 55.9 | 255 35.5 S18 45.0
10 | 222 27.2 | 288 22.7 S24 20.6 | 351 45.4 S18 22.4 | 254 07.2 S13 55.8 | 270 37.8 S18 45.0
11 | 237 29.6 | 303 23.8 S24 20.1 | 6 46.1 S18 22.9 | 269 09.4 S13 55.7 | 285 40.0 S18 44.9
12 | 252 32.1 | 318 24.8 S24 19.6 | 21 46.8 S18 23.3 | 284 11.5 S13 55.6 | 300 42.3 S18 44.9
13 | 267 34.6 | 333 25.9 S24 19.1 | 36 47.5 S18 23.8 | 299 13.6 S13 55.4 | 315 44.6 S18 44.8
14 | 282 37.0 | 348 27.0 S24 18.7 | 51 48.2 S18 24.3 | 314 15.8 S13 55.3 | 330 46.8 S18 44.8
15 | 297 39.5 | 3 28.1 S24 18.2 | 66 48.9 S18 24.7 | 329 17.9 S13 55.2 | 345 49.1 S18 44.7
16 | 312 42.0 | 18 29.1 S24 17.7 | 81 49.6 S18 25.2 | 344 20.0 S13 55.1 | 0 51.3 S18 44.7
17 | 327 44.4 | 33 30.2 S24 17.2 | 96 50.3 S18 25.6 | 359 22.2 S13 55.0 | 15 53.6 S18 44.6
18 | 342 46.9 | 48 31.3 S24 16.7 | 111 51.0 S18 26.1 | 14 24.3 S13 54.8 | 30 55.8 S18 44.6
19 | 357 49.4 | 63 32.4 S24 16.3 | 126 51.7 S18 26.5 | 29 26.4 S13 54.7 | 45 58.1 S18 44.5
20 | 12 51.8 | 78 33.5 S24 15.8 | 141 52.5 S18 27.0 | 44 28.5 S13 54.6 | 61 00.4 S18 44.4
21 | 27 54.3 | 93 34.6 S24 15.3 | 156 53.2 S18 27.5 | 59 30.7 S13 54.5 | 76 02.6 S18 44.4
22 | 42 56.7 | 108 35.7 S24 14.8 | 171 53.9 S18 27.9 | 74 32.8 S13 54.3 | 91 04.9 S18 44.3
23 | 57 59.2 | 123 36.8 S24 14.4 | 186 54.6 S18 28.4 | 89 34.9 S13 54.2 | 106 07.1 S18 44.3
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| v 1.0 d 0.5 | v 0.7 d 0.5 | v 2.1 d 0.1 | v 2.3 d 0.1
2021 DEC. 1, 2, 3 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
1 0 | 182 46.6 S21 47.8 | 227 43.8 11.0 S 5 46.3 15.6 59.7 | Acamar 315 13.3 S40 13.2
1 | 197 46.4 S21 48.2 | 242 13.6 10.9 S 6 01.9 15.6 59.7 | Achernar 335 21.7 S57 07.8
2 | 212 46.1 S21 48.6 | 256 43.4 10.8 S 6 17.5 15.6 59.8 | Acrux 173 03.2 S63 12.8
3 | 227 45.9 S21 49.0 | 271 13.2 10.7 S 6 33.1 15.6 59.8 | Adhara 255 07.5 S28 59.9
4 | 242 45.7 S21 49.4 | 285 42.8 10.7 S 6 48.7 15.6 59.8 | Albireo 67 06.4 N28 00.4
W 5 | 257 45.4 S21 49.8 | 300 12.4 10.6 S 7 04.2 15.6 59.9 |
E | | | Aldebaran 290 42.2 N16 33.2
D 6 | 272 45.2 S21 50.2 | 314 41.9 10.5 S 7 19.8 15.5 59.9 | Alioth 166 15.6 N55 50.4
N 7 | 287 45.0 S21 50.6 | 329 11.3 10.4 S 7 35.3 15.5 59.9 | Alkaid 152 54.4 N49 12.2
E 8 | 302 44.7 S21 50.9 | 343 40.7 10.3 S 7 50.8 15.5 60.0 | Al Na-ir 27 36.2 S46 51.6
S 9 | 317 44.5 S21 51.3 | 358 09.9 10.3 S 8 06.3 15.5 60.0 | Alnilam 275 40.0 S 1 11.2
D 10 | 332 44.2 S21 51.7 | 12 39.1 10.2 S 8 21.7 15.4 60.0 |
A 11 | 347 44.0 S21 52.1 | 27 08.2 10.1 S 8 37.1 15.4 60.1 | Alphard 217 50.1 S 8 45.1
Y | | | Alphecca 126 06.3 N26 38.5
12 | 2 43.8 S21 52.5 | 41 37.1 10.0 S 8 52.5 15.4 60.1 | Alpheratz 357 37.3 N29 12.8
13 | 17 43.5 S21 52.8 | 56 06.1 9.9 S 9 07.9 15.4 60.1 | Altair 62 02.7 N 8 55.6
14 | 32 43.3 S21 53.2 | 70 34.9 9.8 S 9 23.2 15.3 60.2 | Ankaa 353 09.5 S42 11.5
15 | 47 43.1 S21 53.6 | 85 03.6 9.7 S 9 38.5 15.3 60.2 |
16 | 62 42.8 S21 54.0 | 99 32.2 9.6 S 9 53.7 15.2 60.2 | Antares 112 19.4 S26 28.7
17 | 77 42.6 S21 54.4 | 114 00.8 9.5 S10 08.9 15.2 60.3 | Arcturus 145 50.6 N19 04.2
| | | Atria 107 16.5 S69 04.0
18 | 92 42.4 S21 54.7 | 128 29.2 9.5 S10 24.1 15.2 60.3 | Avior 234 15.3 S59 34.5
19 | 107 42.1 S21 55.1 | 142 57.6 9.4 S10 39.2 15.1 60.3 | Bellatrix 278 25.3 N 6 22.2
20 | 122 41.9 S21 55.5 | 157 25.8 9.3 S10 54.3 15.1 60.4 |
21 | 137 41.6 S21 55.9 | 171 54.0 9.2 S11 09.3 15.0 60.4 | Betelgeuse 270 54.5 N 7 24.7
22 | 152 41.4 S21 56.2 | 186 22.1 9.1 S11 24.3 15.0 60.4 | Canopus 263 53.0 S52 42.3
23 | 167 41.2 S21 56.6 | 200 50.0 9.0 S11 39.3 14.9 60.5 | Capella 280 25.2 N46 01.2
------+-------------------+----------------------------------| Castor 246 00.0 N31 50.4
2 0 | 182 40.9 S21 57.0 | 215 17.9 8.9 S11 54.2 14.9 60.5 | Deneb 49 27.8 N45 21.7
1 | 197 40.7 S21 57.3 | 229 45.7 8.8 S12 09.0 14.8 60.5 |
2 | 212 40.4 S21 57.7 | 244 13.4 8.7 S12 23.8 14.8 60.6 | Denebola 182 27.7 N14 27.0
3 | 227 40.2 S21 58.1 | 258 40.9 8.6 S12 38.5 14.7 60.6 | Diphda 348 49.7 S17 52.1
4 | 242 40.0 S21 58.5 | 273 08.4 8.5 S12 53.1 14.7 60.6 | Dubhe 193 44.2 N61 37.8
T 5 | 257 39.7 S21 58.8 | 287 35.7 8.4 S13 07.7 14.6 60.7 | Elnath 278 04.8 N28 37.5
H | | | Eltanin 90 43.9 N51 29.2
U 6 | 272 39.5 S21 59.2 | 302 03.0 8.3 S13 22.3 14.5 60.7 |
R 7 | 287 39.2 S21 59.6 | 316 30.1 8.1 S13 36.7 14.5 60.7 | Enif 33 41.3 N 9 58.5
S 8 | 302 39.0 S21 59.9 | 330 57.2 8.0 S13 51.1 14.4 60.7 | Fomalhaut 15 17.3 S29 30.6
D 9 | 317 38.8 S22 00.3 | 345 24.1 7.9 S14 05.4 14.3 60.8 | Gacrux 171 54.7 S57 13.8
A 10 | 332 38.5 S22 00.7 | 359 50.9 7.8 S14 19.7 14.2 60.8 | Gienah 175 46.4 S17 39.6
Y 11 | 347 38.3 S22 01.0 | 14 17.7 7.7 S14 33.8 14.2 60.8 | Hadar 148 40.2 S60 28.4
| | |
12 | 2 38.0 S22 01.4 | 28 44.3 7.6 S14 47.9 14.1 60.8 | Hamal 327 53.8 N23 34.0
13 | 17 37.8 S22 01.7 | 43 10.8 7.5 S15 01.9 14.0 60.9 | Kaus Austr. 83 36.3 S34 22.5
14 | 32 37.5 S22 02.1 | 57 37.1 7.4 S15 15.9 13.9 60.9 | Kochab 137 21.1 N74 03.8
15 | 47 37.3 S22 02.5 | 72 03.4 7.3 S15 29.7 13.8 60.9 | Markab 13 32.4 N15 19.4
16 | 62 37.0 S22 02.8 | 86 29.6 7.2 S15 43.5 13.8 60.9 | Menkar 314 08.5 N 4 10.5
17 | 77 36.8 S22 03.2 | 100 55.6 7.1 S15 57.2 13.7 61.0 |
| | | Menkent 148 01.0 S36 28.4
18 | 92 36.6 S22 03.6 | 115 21.6 6.9 S16 10.7 13.6 61.0 | Miaplacidus 221 38.3 S69 48.0
19 | 107 36.3 S22 03.9 | 129 47.4 6.8 S16 24.2 13.5 61.0 | Mirfak 308 31.5 N49 56.4
20 | 122 36.1 S22 04.3 | 144 13.1 6.7 S16 37.6 13.4 61.0 | Nunki 75 51.3 S26 16.2
21 | 137 35.8 S22 04.6 | 158 38.7 6.6 S16 50.9 13.3 61.1 | Peacock 53 10.1 S56 40.1
22 | 152 35.6 S22 05.0 | 173 04.2 6.5 S17 04.1 13.2 61.1 |
23 | 167 35.3 S22 05.3 | 187 29.6 6.4 S17 17.2 13.1 61.1 | Polaris 316 54.0 N89 20.8
------+-------------------+----------------------------------| Pollux 243 20.2 N27 58.3
3 0 | 182 35.1 S22 05.7 | 201 54.8 6.3 S17 30.2 13.0 61.1 | Procyon 244 53.3 N 5 10.2
1 | 197 34.8 S22 06.0 | 216 20.0 6.1 S17 43.0 12.9 61.1 | Rasalhague 96 01.3 N12 32.8
2 | 212 34.6 S22 06.4 | 230 45.0 6.0 S17 55.8 12.8 61.2 | Regulus 207 37.1 N11 51.7
3 | 227 34.3 S22 06.7 | 245 09.9 5.9 S18 08.5 12.7 61.2 |
4 | 242 34.1 S22 07.1 | 259 34.7 5.8 S18 21.0 12.5 61.2 | Rigel 281 06.0 S 8 10.6
F 5 | 257 33.9 S22 07.4 | 273 59.4 5.7 S18 33.4 12.4 61.2 | Rigil Kent 139 44.5 S60 55.3
R | | | Sabik 102 06.1 S15 45.1
I 6 | 272 33.6 S22 07.8 | 288 24.0 5.6 S18 45.7 12.3 61.2 | Schedar 349 33.6 N56 39.6
D 7 | 287 33.4 S22 08.1 | 302 48.5 5.5 S18 57.9 12.2 61.2 | Shaula 96 14.3 S37 07.2
A 8 | 302 33.1 S22 08.5 | 317 12.8 5.3 S19 10.0 12.1 61.3 |
Y 9 | 317 32.9 S22 08.8 | 331 37.1 5.2 S19 21.9 11.9 61.3 | Sirius 258 28.2 S16 44.7
10 | 332 32.6 S22 09.2 | 346 01.2 5.1 S19 33.7 11.8 61.3 | Spica 158 25.2 S11 16.3
11 | 347 32.4 S22 09.5 | 0 25.2 5.0 S19 45.4 11.7 61.3 | Suhail 222 48.0 S43 30.9
| | | Vega 80 35.3 N38 48.3
12 | 2 32.1 S22 09.9 | 14 49.1 4.9 S19 57.0 11.6 61.3 | Zuben-ubi 136 59.9 S16 07.8
13 | 17 31.9 S22 10.2 | 29 12.9 4.8 S20 08.4 11.4 61.3 |
14 | 32 31.6 S22 10.6 | 43 36.5 4.7 S20 19.7 11.3 61.3 |
15 | 47 31.4 S22 10.9 | 58 00.1 4.6 S20 30.8 11.1 61.3 |
16 | 62 31.1 S22 11.3 | 72 23.6 4.5 S20 41.8 11.0 61.4 |
17 | 77 30.9 S22 11.6 | 86 46.9 4.3 S20 52.7 10.9 61.4 |
| | |
18 | 92 30.6 S22 11.9 | 101 10.2 4.2 S21 03.4 10.7 61.4 |
19 | 107 30.4 S22 12.3 | 115 33.3 4.1 S21 14.0 10.6 61.4 |
20 | 122 30.1 S22 12.6 | 129 56.3 4.0 S21 24.4 10.4 61.4 |
21 | 137 29.9 S22 13.0 | 144 19.2 3.9 S21 34.6 10.3 61.4 |
22 | 152 29.6 S22 13.3 | 158 42.1 3.8 S21 44.7 10.1 61.4 |
23 | 167 29.4 S22 13.6 | 173 04.8 3.7 S21 54.7 10.0 61.4 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.4 | S.D. 16.4 16.6 16.7 |
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