
2021 DEC. 4, 5, 6 (SAT, SUN, MON)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
4 0 | 73 01.7 | 138 37.9 S24 13.9 | 201 55.3 S18 28.8 | 104 37.0 S13 54.1 | 121 09.4 S18 44.2
1 | 88 04.1 | 153 39.0 S24 13.4 | 216 56.0 S18 29.3 | 119 39.2 S13 54.0 | 136 11.6 S18 44.2
2 | 103 06.6 | 168 40.1 S24 12.9 | 231 56.7 S18 29.7 | 134 41.3 S13 53.8 | 151 13.9 S18 44.1
3 | 118 09.1 | 183 41.2 S24 12.4 | 246 57.4 S18 30.2 | 149 43.4 S13 53.7 | 166 16.1 S18 44.1
4 | 133 11.5 | 198 42.4 S24 12.0 | 261 58.1 S18 30.7 | 164 45.5 S13 53.6 | 181 18.4 S18 44.0
S 5 | 148 14.0 | 213 43.5 S24 11.5 | 276 58.8 S18 31.1 | 179 47.7 S13 53.5 | 196 20.7 S18 44.0
A
T 6 | 163 16.5 | 228 44.6 S24 11.0 | 291 59.5 S18 31.6 | 194 49.8 S13 53.3 | 211 22.9 S18 43.9
U 7 | 178 18.9 | 243 45.7 S24 10.5 | 307 00.2 S18 32.0 | 209 51.9 S13 53.2 | 226 25.2 S18 43.9
R 8 | 193 21.4 | 258 46.9 S24 10.0 | 322 00.9 S18 32.5 | 224 54.0 S13 53.1 | 241 27.4 S18 43.8
D 9 | 208 23.9 | 273 48.0 S24 09.5 | 337 01.6 S18 32.9 | 239 56.2 S13 53.0 | 256 29.7 S18 43.7
A 10 | 223 26.3 | 288 49.1 S24 09.1 | 352 02.3 S18 33.4 | 254 58.3 S13 52.9 | 271 31.9 S18 43.7
Y 11 | 238 28.8 | 303 50.3 S24 08.6 | 7 03.0 S18 33.8 | 270 00.4 S13 52.7 | 286 34.2 S18 43.6
12 | 253 31.2 | 318 51.4 S24 08.1 | 22 03.7 S18 34.3 | 285 02.5 S13 52.6 | 301 36.4 S18 43.6
13 | 268 33.7 | 333 52.6 S24 07.6 | 37 04.4 S18 34.7 | 300 04.7 S13 52.5 | 316 38.7 S18 43.5
14 | 283 36.2 | 348 53.7 S24 07.1 | 52 05.1 S18 35.2 | 315 06.8 S13 52.4 | 331 40.9 S18 43.5
15 | 298 38.6 | 3 54.9 S24 06.6 | 67 05.8 S18 35.6 | 330 08.9 S13 52.2 | 346 43.2 S18 43.4
16 | 313 41.1 | 18 56.0 S24 06.2 | 82 06.5 S18 36.1 | 345 11.0 S13 52.1 | 1 45.5 S18 43.4
17 | 328 43.6 | 33 57.2 S24 05.7 | 97 07.2 S18 36.6 | 0 13.1 S13 52.0 | 16 47.7 S18 43.3
18 | 343 46.0 | 48 58.4 S24 05.2 | 112 07.9 S18 37.0 | 15 15.3 S13 51.9 | 31 50.0 S18 43.2
19 | 358 48.5 | 63 59.5 S24 04.7 | 127 08.6 S18 37.5 | 30 17.4 S13 51.7 | 46 52.2 S18 43.2
20 | 13 51.0 | 79 00.7 S24 04.2 | 142 09.3 S18 37.9 | 45 19.5 S13 51.6 | 61 54.5 S18 43.1
21 | 28 53.4 | 94 01.9 S24 03.7 | 157 10.0 S18 38.4 | 60 21.6 S13 51.5 | 76 56.7 S18 43.1
22 | 43 55.9 | 109 03.0 S24 03.2 | 172 10.7 S18 38.8 | 75 23.8 S13 51.4 | 91 59.0 S18 43.0
23 | 58 58.3 | 124 04.2 S24 02.8 | 187 11.4 S18 39.3 | 90 25.9 S13 51.2 | 107 01.2 S18 43.0
------+----------+-------------------+-------------------+-------------------+--------------------
5 0 | 74 00.8 | 139 05.4 S24 02.3 | 202 12.1 S18 39.7 | 105 28.0 S13 51.1 | 122 03.5 S18 42.9
1 | 89 03.3 | 154 06.6 S24 01.8 | 217 12.8 S18 40.2 | 120 30.1 S13 51.0 | 137 05.7 S18 42.9
2 | 104 05.7 | 169 07.8 S24 01.3 | 232 13.4 S18 40.6 | 135 32.2 S13 50.9 | 152 08.0 S18 42.8
3 | 119 08.2 | 184 09.0 S24 00.8 | 247 14.1 S18 41.1 | 150 34.4 S13 50.7 | 167 10.2 S18 42.8
4 | 134 10.7 | 199 10.2 S24 00.3 | 262 14.8 S18 41.5 | 165 36.5 S13 50.6 | 182 12.5 S18 42.7
S 5 | 149 13.1 | 214 11.4 S23 59.8 | 277 15.5 S18 42.0 | 180 38.6 S13 50.5 | 197 14.7 S18 42.6
U
N 6 | 164 15.6 | 229 12.6 S23 59.3 | 292 16.2 S18 42.4 | 195 40.7 S13 50.3 | 212 17.0 S18 42.6
D 7 | 179 18.1 | 244 13.8 S23 58.8 | 307 16.9 S18 42.9 | 210 42.8 S13 50.2 | 227 19.2 S18 42.5
A 8 | 194 20.5 | 259 15.0 S23 58.4 | 322 17.6 S18 43.3 | 225 45.0 S13 50.1 | 242 21.5 S18 42.5
Y 9 | 209 23.0 | 274 16.2 S23 57.9 | 337 18.3 S18 43.8 | 240 47.1 S13 50.0 | 257 23.7 S18 42.4
10 | 224 25.5 | 289 17.4 S23 57.4 | 352 19.0 S18 44.2 | 255 49.2 S13 49.8 | 272 26.0 S18 42.4
11 | 239 27.9 | 304 18.6 S23 56.9 | 7 19.7 S18 44.6 | 270 51.3 S13 49.7 | 287 28.3 S18 42.3
12 | 254 30.4 | 319 19.8 S23 56.4 | 22 20.4 S18 45.1 | 285 53.4 S13 49.6 | 302 30.5 S18 42.3
13 | 269 32.8 | 334 21.1 S23 55.9 | 37 21.1 S18 45.5 | 300 55.5 S13 49.5 | 317 32.8 S18 42.2
14 | 284 35.3 | 349 22.3 S23 55.4 | 52 21.8 S18 46.0 | 315 57.7 S13 49.3 | 332 35.0 S18 42.1
15 | 299 37.8 | 4 23.5 S23 54.9 | 67 22.5 S18 46.4 | 330 59.8 S13 49.2 | 347 37.3 S18 42.1
16 | 314 40.2 | 19 24.8 S23 54.4 | 82 23.2 S18 46.9 | 346 01.9 S13 49.1 | 2 39.5 S18 42.0
17 | 329 42.7 | 34 26.0 S23 53.9 | 97 23.9 S18 47.3 | 1 04.0 S13 49.0 | 17 41.8 S18 42.0
18 | 344 45.2 | 49 27.2 S23 53.4 | 112 24.6 S18 47.8 | 16 06.1 S13 48.8 | 32 44.0 S18 41.9
19 | 359 47.6 | 64 28.5 S23 52.9 | 127 25.3 S18 48.2 | 31 08.2 S13 48.7 | 47 46.3 S18 41.9
20 | 14 50.1 | 79 29.7 S23 52.4 | 142 25.9 S18 48.7 | 46 10.4 S13 48.6 | 62 48.5 S18 41.8
21 | 29 52.6 | 94 31.0 S23 51.9 | 157 26.6 S18 49.1 | 61 12.5 S13 48.4 | 77 50.8 S18 41.8
22 | 44 55.0 | 109 32.2 S23 51.5 | 172 27.3 S18 49.6 | 76 14.6 S13 48.3 | 92 53.0 S18 41.7
23 | 59 57.5 | 124 33.5 S23 51.0 | 187 28.0 S18 50.0 | 91 16.7 S13 48.2 | 107 55.3 S18 41.6
------+----------+-------------------+-------------------+-------------------+--------------------
6 0 | 74 60.0 | 139 34.8 S23 50.5 | 202 28.7 S18 50.4 | 106 18.8 S13 48.1 | 122 57.5 S18 41.6
1 | 90 02.4 | 154 36.0 S23 50.0 | 217 29.4 S18 50.9 | 121 20.9 S13 47.9 | 137 59.8 S18 41.5
2 | 105 04.9 | 169 37.3 S23 49.5 | 232 30.1 S18 51.3 | 136 23.1 S13 47.8 | 153 02.0 S18 41.5
3 | 120 07.3 | 184 38.6 S23 49.0 | 247 30.8 S18 51.8 | 151 25.2 S13 47.7 | 168 04.3 S18 41.4
4 | 135 09.8 | 199 39.8 S23 48.5 | 262 31.5 S18 52.2 | 166 27.3 S13 47.6 | 183 06.5 S18 41.4
M 5 | 150 12.3 | 214 41.1 S23 48.0 | 277 32.2 S18 52.7 | 181 29.4 S13 47.4 | 198 08.8 S18 41.3
O
N 6 | 165 14.7 | 229 42.4 S23 47.5 | 292 32.9 S18 53.1 | 196 31.5 S13 47.3 | 213 11.0 S18 41.3
D 7 | 180 17.2 | 244 43.7 S23 47.0 | 307 33.6 S18 53.5 | 211 33.6 S13 47.2 | 228 13.3 S18 41.2
A 8 | 195 19.7 | 259 45.0 S23 46.5 | 322 34.2 S18 54.0 | 226 35.7 S13 47.0 | 243 15.5 S18 41.1
Y 9 | 210 22.1 | 274 46.3 S23 46.0 | 337 34.9 S18 54.4 | 241 37.8 S13 46.9 | 258 17.8 S18 41.1
10 | 225 24.6 | 289 47.6 S23 45.5 | 352 35.6 S18 54.9 | 256 40.0 S13 46.8 | 273 20.0 S18 41.0
11 | 240 27.1 | 304 48.9 S23 45.0 | 7 36.3 S18 55.3 | 271 42.1 S13 46.7 | 288 22.2 S18 41.0
12 | 255 29.5 | 319 50.2 S23 44.5 | 22 37.0 S18 55.8 | 286 44.2 S13 46.5 | 303 24.5 S18 40.9
13 | 270 32.0 | 334 51.5 S23 44.0 | 37 37.7 S18 56.2 | 301 46.3 S13 46.4 | 318 26.7 S18 40.9
14 | 285 34.5 | 349 52.8 S23 43.5 | 52 38.4 S18 56.6 | 316 48.4 S13 46.3 | 333 29.0 S18 40.8
15 | 300 36.9 | 4 54.1 S23 43.0 | 67 39.1 S18 57.1 | 331 50.5 S13 46.1 | 348 31.2 S18 40.7
16 | 315 39.4 | 19 55.4 S23 42.5 | 82 39.8 S18 57.5 | 346 52.6 S13 46.0 | 3 33.5 S18 40.7
17 | 330 41.8 | 34 56.7 S23 42.0 | 97 40.4 S18 58.0 | 1 54.7 S13 45.9 | 18 35.7 S18 40.6
18 | 345 44.3 | 49 58.0 S23 41.5 | 112 41.1 S18 58.4 | 16 56.9 S13 45.8 | 33 38.0 S18 40.6
19 | 0 46.8 | 64 59.4 S23 41.0 | 127 41.8 S18 58.8 | 31 59.0 S13 45.6 | 48 40.2 S18 40.5
20 | 15 49.2 | 80 00.7 S23 40.5 | 142 42.5 S18 59.3 | 47 01.1 S13 45.5 | 63 42.5 S18 40.5
21 | 30 51.7 | 95 02.0 S23 40.0 | 157 43.2 S18 59.7 | 62 03.2 S13 45.4 | 78 44.7 S18 40.4
22 | 45 54.2 | 110 03.4 S23 39.5 | 172 43.9 S19 00.1 | 77 05.3 S13 45.2 | 93 47.0 S18 40.4
23 | 60 56.6 | 125 04.7 S23 39.0 | 187 44.6 S19 00.6 | 92 07.4 S13 45.1 | 108 49.2 S18 40.3
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| v 1.2 d 0.5 | v 0.7 d 0.4 | v 2.1 d 0.1 | v 2.3 d 0.1
2021 DEC. 4, 5, 6 (SAT, SUN, MON)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
4 0 | 182 29.1 S22 14.0 | 187 27.4 3.6 S22 04.5 9.8 61.4 | Acamar 315 13.3 S40 13.2
1 | 197 28.9 S22 14.3 | 201 49.9 3.5 S22 14.1 9.6 61.4 | Achernar 335 21.7 S57 07.8
2 | 212 28.6 S22 14.6 | 216 12.3 3.4 S22 23.6 9.5 61.4 | Acrux 173 03.2 S63 12.8
3 | 227 28.3 S22 15.0 | 230 34.6 3.3 S22 32.9 9.3 61.4 | Adhara 255 07.5 S28 60.0
4 | 242 28.1 S22 15.3 | 244 56.9 3.2 S22 42.1 9.2 61.4 | Albireo 67 06.4 N28 00.4
S 5 | 257 27.8 S22 15.6 | 259 19.0 3.1 S22 51.1 9.0 61.4 |
A | | | Aldebaran 290 42.2 N16 33.2
T 6 | 272 27.6 S22 16.0 | 273 41.0 3.0 S22 59.9 8.8 61.5 | Alioth 166 15.5 N55 50.4
U 7 | 287 27.3 S22 16.3 | 288 03.0 2.9 S23 08.5 8.6 61.5 | Alkaid 152 54.4 N49 12.2
R 8 | 302 27.1 S22 16.6 | 302 24.8 2.9 S23 17.0 8.5 61.5 | Al Na-ir 27 36.2 S46 51.6
D 9 | 317 26.8 S22 17.0 | 316 46.6 2.8 S23 25.3 8.3 61.5 | Alnilam 275 40.0 S 1 11.2
A 10 | 332 26.6 S22 17.3 | 331 08.3 2.7 S23 33.4 8.1 61.5 |
Y 11 | 347 26.3 S22 17.6 | 345 29.9 2.6 S23 41.4 7.9 61.5 | Alphard 217 50.1 S 8 45.1
| | | Alphecca 126 06.3 N26 38.5
12 | 2 26.1 S22 18.0 | 359 51.4 2.5 S23 49.1 7.8 61.5 | Alpheratz 357 37.3 N29 12.8
13 | 17 25.8 S22 18.3 | 14 12.8 2.4 S23 56.7 7.6 61.5 | Altair 62 02.7 N 8 55.6
14 | 32 25.5 S22 18.6 | 28 34.2 2.4 S24 04.1 7.4 61.5 | Ankaa 353 09.5 S42 11.5
15 | 47 25.3 S22 18.9 | 42 55.5 2.3 S24 11.3 7.2 61.5 |
16 | 62 25.0 S22 19.3 | 57 16.7 2.2 S24 18.4 7.0 61.4 | Antares 112 19.4 S26 28.7
17 | 77 24.8 S22 19.6 | 71 37.9 2.1 S24 25.2 6.8 61.4 | Arcturus 145 50.5 N19 04.1
| | | Atria 107 16.5 S69 03.9
18 | 92 24.5 S22 19.9 | 85 59.0 2.1 S24 31.9 6.7 61.4 | Avior 234 15.3 S59 34.5
19 | 107 24.3 S22 20.2 | 100 20.0 2.0 S24 38.4 6.5 61.4 | Bellatrix 278 25.3 N 6 22.2
20 | 122 24.0 S22 20.5 | 114 40.9 2.0 S24 44.6 6.3 61.4 |
21 | 137 23.7 S22 20.9 | 129 01.8 1.9 S24 50.7 6.1 61.4 | Betelgeuse 270 54.5 N 7 24.7
22 | 152 23.5 S22 21.2 | 143 22.7 1.8 S24 56.6 5.9 61.4 | Canopus 263 53.0 S52 42.3
23 | 167 23.2 S22 21.5 | 157 43.4 1.8 S25 02.3 5.7 61.4 | Capella 280 25.2 N46 01.2
------+-------------------+----------------------------------| Castor 245 60.0 N31 50.4
5 0 | 182 23.0 S22 21.8 | 172 04.2 1.7 S25 07.8 5.5 61.4 | Deneb 49 27.8 N45 21.7
1 | 197 22.7 S22 22.1 | 186 24.8 1.7 S25 13.1 5.3 61.4 |
2 | 212 22.5 S22 22.5 | 200 45.5 1.6 S25 18.2 5.1 61.4 | Denebola 182 27.6 N14 27.0
3 | 227 22.2 S22 22.8 | 215 06.1 1.6 S25 23.1 4.9 61.4 | Diphda 348 49.7 S17 52.1
4 | 242 21.9 S22 23.1 | 229 26.6 1.5 S25 27.8 4.7 61.4 | Dubhe 193 44.2 N61 37.7
S 5 | 257 21.7 S22 23.4 | 243 47.1 1.5 S25 32.3 4.5 61.4 | Elnath 278 04.7 N28 37.5
U | | | Eltanin 90 43.9 N51 29.2
N 6 | 272 21.4 S22 23.7 | 258 07.6 1.5 S25 36.6 4.3 61.3 |
D 7 | 287 21.2 S22 24.0 | 272 28.0 1.4 S25 40.7 4.1 61.3 | Enif 33 41.4 N 9 58.5
A 8 | 302 20.9 S22 24.3 | 286 48.5 1.4 S25 44.6 3.9 61.3 | Fomalhaut 15 17.3 S29 30.6
Y 9 | 317 20.6 S22 24.7 | 301 08.9 1.4 S25 48.3 3.7 61.3 | Gacrux 171 54.7 S57 13.8
10 | 332 20.4 S22 25.0 | 315 29.2 1.4 S25 51.8 3.5 61.3 | Gienah 175 46.3 S17 39.6
11 | 347 20.1 S22 25.3 | 329 49.6 1.3 S25 55.1 3.3 61.3 | Hadar 148 40.1 S60 28.4
| | |
12 | 2 19.9 S22 25.6 | 344 09.9 1.3 S25 58.2 3.1 61.3 | Hamal 327 53.8 N23 34.0
13 | 17 19.6 S22 25.9 | 358 30.2 1.3 S26 01.1 2.9 61.2 | Kaus Austr. 83 36.3 S34 22.5
14 | 32 19.3 S22 26.2 | 12 50.5 1.3 S26 03.8 2.7 61.2 | Kochab 137 21.0 N74 03.8
15 | 47 19.1 S22 26.5 | 27 10.8 1.3 S26 06.2 2.5 61.2 | Markab 13 32.4 N15 19.4
16 | 62 18.8 S22 26.8 | 41 31.1 1.3 S26 08.5 2.3 61.2 | Menkar 314 08.5 N 4 10.5
17 | 77 18.5 S22 27.1 | 55 51.4 1.3 S26 10.6 2.1 61.2 |
| | | Menkent 148 00.9 S36 28.4
18 | 92 18.3 S22 27.4 | 70 11.7 1.3 S26 12.4 1.9 61.2 | Miaplacidus 221 38.2 S69 48.0
19 | 107 18.0 S22 27.7 | 84 32.1 1.3 S26 14.1 1.6 61.1 | Mirfak 308 31.4 N49 56.4
20 | 122 17.8 S22 28.0 | 98 52.4 1.3 S26 15.5 1.4 61.1 | Nunki 75 51.3 S26 16.2
21 | 137 17.5 S22 28.3 | 113 12.7 1.3 S26 16.7 1.2 61.1 | Peacock 53 10.1 S56 40.1
22 | 152 17.2 S22 28.6 | 127 33.1 1.3 S26 17.8 1.0 61.1 |
23 | 167 17.0 S22 28.9 | 141 53.4 1.4 S26 18.6 0.8 61.1 | Polaris 316 54.3 N89 20.8
------+-------------------+----------------------------------| Pollux 243 20.1 N27 58.3
6 0 | 182 16.7 S22 29.2 | 156 13.8 1.4 S26 19.2 0.6 61.0 | Procyon 244 53.2 N 5 10.2
1 | 197 16.4 S22 29.5 | 170 34.2 1.4 S26 19.6 0.4 61.0 | Rasalhague 96 01.3 N12 32.7
2 | 212 16.2 S22 29.8 | 184 54.7 1.4 S26 19.8 0.2 61.0 | Regulus 207 37.1 N11 51.7
3 | 227 15.9 S22 30.1 | 199 15.1 1.5 S26 19.8 0.0 61.0 |
4 | 242 15.7 S22 30.4 | 213 35.7 1.5 S26 19.6 0.2 60.9 | Rigel 281 06.0 S 8 10.6
M 5 | 257 15.4 S22 30.7 | 227 56.2 1.5 S26 19.2 0.4 60.9 | Rigil Kent 139 44.5 S60 55.3
O | | | Sabik 102 06.1 S15 45.1
N 6 | 272 15.1 S22 31.0 | 242 16.8 1.6 S26 18.6 0.6 60.9 | Schedar 349 33.6 N56 39.6
D 7 | 287 14.9 S22 31.3 | 256 37.4 1.6 S26 17.8 0.8 60.9 | Shaula 96 14.3 S37 07.1
A 8 | 302 14.6 S22 31.6 | 270 58.1 1.7 S26 16.8 1.0 60.8 |
Y 9 | 317 14.3 S22 31.9 | 285 18.8 1.7 S26 15.6 1.2 60.8 | Sirius 258 28.2 S16 44.7
10 | 332 14.1 S22 32.2 | 299 39.6 1.8 S26 14.2 1.4 60.8 | Spica 158 25.2 S11 16.4
11 | 347 13.8 S22 32.5 | 314 00.5 1.8 S26 12.6 1.6 60.8 | Suhail 222 47.9 S43 30.9
| | | Vega 80 35.3 N38 48.3
12 | 2 13.5 S22 32.8 | 328 21.4 1.9 S26 10.8 1.8 60.7 | Zuben-ubi 136 59.9 S16 07.8
13 | 17 13.3 S22 33.1 | 342 42.3 2.0 S26 08.8 2.0 60.7 |
14 | 32 13.0 S22 33.4 | 357 03.4 2.0 S26 06.6 2.2 60.7 |
15 | 47 12.7 S22 33.7 | 11 24.5 2.1 S26 04.2 2.4 60.7 |
16 | 62 12.5 S22 33.9 | 25 45.6 2.2 S26 01.6 2.6 60.6 |
17 | 77 12.2 S22 34.2 | 40 06.9 2.2 S25 58.8 2.8 60.6 |
| | |
18 | 92 11.9 S22 34.5 | 54 28.2 2.3 S25 55.9 3.0 60.6 |
19 | 107 11.7 S22 34.8 | 68 49.6 2.4 S25 52.7 3.2 60.5 |
20 | 122 11.4 S22 35.1 | 83 11.1 2.5 S25 49.4 3.3 60.5 |
21 | 137 11.1 S22 35.4 | 97 32.6 2.6 S25 45.8 3.5 60.5 |
22 | 152 10.8 S22 35.7 | 111 54.3 2.6 S25 42.1 3.7 60.5 |
23 | 167 10.6 S22 35.9 | 126 16.0 2.7 S25 38.2 3.9 60.4 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.3 | S.D. 16.7 16.7 16.6 |
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