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2083 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 49.2 | 142 06.6 S21 37.9 | 213 23.5 S18 54.2 | 25 08.7 N19 59.2 | 99 12.7 S 7 32.7
1 | 101 51.6 | 157 05.8 S21 37.2 | 228 24.2 S18 54.6 | 40 11.5 N19 59.1 | 114 15.1 S 7 32.7
2 | 116 54.1 | 172 05.1 S21 36.5 | 243 24.9 S18 55.0 | 55 14.2 N19 59.1 | 129 17.4 S 7 32.6
3 | 131 56.6 | 187 04.4 S21 35.9 | 258 25.6 S18 55.4 | 70 17.0 N19 59.0 | 144 19.8 S 7 32.5
4 | 146 59.0 | 202 03.7 S21 35.2 | 273 26.3 S18 55.9 | 85 19.8 N19 59.0 | 159 22.1 S 7 32.5
S 5 | 162 01.5 | 217 02.9 S21 34.5 | 288 27.1 S18 56.3 | 100 22.5 N19 58.9 | 174 24.5 S 7 32.4
A
T 6 | 177 04.0 | 232 02.2 S21 33.8 | 303 27.8 S18 56.7 | 115 25.3 N19 58.9 | 189 26.8 S 7 32.4
U 7 | 192 06.4 | 247 01.5 S21 33.1 | 318 28.5 S18 57.1 | 130 28.1 N19 58.8 | 204 29.2 S 7 32.3
R 8 | 207 08.9 | 262 00.7 S21 32.4 | 333 29.2 S18 57.6 | 145 30.8 N19 58.8 | 219 31.5 S 7 32.3
D 9 | 222 11.3 | 277 00.0 S21 31.7 | 348 29.9 S18 58.0 | 160 33.6 N19 58.8 | 234 33.9 S 7 32.2
A 10 | 237 13.8 | 291 59.3 S21 31.0 | 3 30.6 S18 58.4 | 175 36.4 N19 58.7 | 249 36.2 S 7 32.1
Y 11 | 252 16.3 | 306 58.5 S21 30.3 | 18 31.4 S18 58.8 | 190 39.1 N19 58.7 | 264 38.6 S 7 32.1
12 | 267 18.7 | 321 57.8 S21 29.6 | 33 32.1 S18 59.3 | 205 41.9 N19 58.6 | 279 40.9 S 7 32.0
13 | 282 21.2 | 336 57.1 S21 28.9 | 48 32.8 S18 59.7 | 220 44.7 N19 58.6 | 294 43.2 S 7 32.0
14 | 297 23.7 | 351 56.4 S21 28.2 | 63 33.5 S19 00.1 | 235 47.4 N19 58.5 | 309 45.6 S 7 31.9
15 | 312 26.1 | 6 55.6 S21 27.5 | 78 34.2 S19 00.5 | 250 50.2 N19 58.5 | 324 47.9 S 7 31.9
16 | 327 28.6 | 21 54.9 S21 26.8 | 93 34.9 S19 01.0 | 265 52.9 N19 58.4 | 339 50.3 S 7 31.8
17 | 342 31.1 | 36 54.2 S21 26.1 | 108 35.7 S19 01.4 | 280 55.7 N19 58.4 | 354 52.6 S 7 31.7
18 | 357 33.5 | 51 53.5 S21 25.4 | 123 36.4 S19 01.8 | 295 58.5 N19 58.3 | 9 55.0 S 7 31.7
19 | 12 36.0 | 66 52.8 S21 24.7 | 138 37.1 S19 02.2 | 311 01.2 N19 58.3 | 24 57.3 S 7 31.6
20 | 27 38.5 | 81 52.0 S21 24.0 | 153 37.8 S19 02.7 | 326 04.0 N19 58.3 | 39 59.7 S 7 31.6
21 | 42 40.9 | 96 51.3 S21 23.3 | 168 38.5 S19 03.1 | 341 06.8 N19 58.2 | 55 02.0 S 7 31.5
22 | 57 43.4 | 111 50.6 S21 22.6 | 183 39.2 S19 03.5 | 356 09.5 N19 58.2 | 70 04.3 S 7 31.5
23 | 72 45.8 | 126 49.9 S21 21.9 | 198 39.9 S19 03.9 | 11 12.3 N19 58.1 | 85 06.7 S 7 31.4
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 87 48.3 | 141 49.1 S21 21.2 | 213 40.7 S19 04.3 | 26 15.1 N19 58.1 | 100 09.0 S 7 31.3
1 | 102 50.8 | 156 48.4 S21 20.5 | 228 41.4 S19 04.8 | 41 17.8 N19 58.0 | 115 11.4 S 7 31.3
2 | 117 53.2 | 171 47.7 S21 19.7 | 243 42.1 S19 05.2 | 56 20.6 N19 58.0 | 130 13.7 S 7 31.2
3 | 132 55.7 | 186 47.0 S21 19.0 | 258 42.8 S19 05.6 | 71 23.3 N19 57.9 | 145 16.1 S 7 31.2
4 | 147 58.2 | 201 46.3 S21 18.3 | 273 43.5 S19 06.0 | 86 26.1 N19 57.9 | 160 18.4 S 7 31.1
S 5 | 163 00.6 | 216 45.6 S21 17.6 | 288 44.2 S19 06.5 | 101 28.9 N19 57.8 | 175 20.7 S 7 31.1
U
N 6 | 178 03.1 | 231 44.8 S21 16.9 | 303 44.9 S19 06.9 | 116 31.6 N19 57.8 | 190 23.1 S 7 31.0
D 7 | 193 05.6 | 246 44.1 S21 16.2 | 318 45.6 S19 07.3 | 131 34.4 N19 57.8 | 205 25.4 S 7 30.9
A 8 | 208 08.0 | 261 43.4 S21 15.5 | 333 46.4 S19 07.7 | 146 37.1 N19 57.7 | 220 27.8 S 7 30.9
Y 9 | 223 10.5 | 276 42.7 S21 14.7 | 348 47.1 S19 08.1 | 161 39.9 N19 57.7 | 235 30.1 S 7 30.8
10 | 238 12.9 | 291 42.0 S21 14.0 | 3 47.8 S19 08.6 | 176 42.7 N19 57.6 | 250 32.5 S 7 30.8
11 | 253 15.4 | 306 41.3 S21 13.3 | 18 48.5 S19 09.0 | 191 45.4 N19 57.6 | 265 34.8 S 7 30.7
12 | 268 17.9 | 321 40.6 S21 12.6 | 33 49.2 S19 09.4 | 206 48.2 N19 57.5 | 280 37.1 S 7 30.6
13 | 283 20.3 | 336 39.9 S21 11.8 | 48 49.9 S19 09.8 | 221 50.9 N19 57.5 | 295 39.5 S 7 30.6
14 | 298 22.8 | 351 39.1 S21 11.1 | 63 50.6 S19 10.2 | 236 53.7 N19 57.4 | 310 41.8 S 7 30.5
15 | 313 25.3 | 6 38.4 S21 10.4 | 78 51.3 S19 10.6 | 251 56.5 N19 57.4 | 325 44.2 S 7 30.5
16 | 328 27.7 | 21 37.7 S21 09.7 | 93 52.0 S19 11.1 | 266 59.2 N19 57.4 | 340 46.5 S 7 30.4
17 | 343 30.2 | 36 37.0 S21 08.9 | 108 52.8 S19 11.5 | 282 02.0 N19 57.3 | 355 48.9 S 7 30.4
18 | 358 32.7 | 51 36.3 S21 08.2 | 123 53.5 S19 11.9 | 297 04.7 N19 57.3 | 10 51.2 S 7 30.3
19 | 13 35.1 | 66 35.6 S21 07.5 | 138 54.2 S19 12.3 | 312 07.5 N19 57.2 | 25 53.5 S 7 30.2
20 | 28 37.6 | 81 34.9 S21 06.8 | 153 54.9 S19 12.7 | 327 10.3 N19 57.2 | 40 55.9 S 7 30.2
21 | 43 40.1 | 96 34.2 S21 06.0 | 168 55.6 S19 13.1 | 342 13.0 N19 57.1 | 55 58.2 S 7 30.1
22 | 58 42.5 | 111 33.5 S21 05.3 | 183 56.3 S19 13.6 | 357 15.8 N19 57.1 | 71 00.6 S 7 30.1
23 | 73 45.0 | 126 32.8 S21 04.6 | 198 57.0 S19 14.0 | 12 18.5 N19 57.0 | 86 02.9 S 7 30.0
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 47.4 | 141 32.1 S21 03.8 | 213 57.7 S19 14.4 | 27 21.3 N19 57.0 | 101 05.2 S 7 29.9
1 | 103 49.9 | 156 31.4 S21 03.1 | 228 58.4 S19 14.8 | 42 24.0 N19 57.0 | 116 07.6 S 7 29.9
2 | 118 52.4 | 171 30.7 S21 02.4 | 243 59.1 S19 15.2 | 57 26.8 N19 56.9 | 131 09.9 S 7 29.8
3 | 133 54.8 | 186 30.0 S21 01.6 | 258 59.8 S19 15.6 | 72 29.5 N19 56.9 | 146 12.3 S 7 29.8
4 | 148 57.3 | 201 29.3 S21 00.9 | 274 00.5 S19 16.1 | 87 32.3 N19 56.8 | 161 14.6 S 7 29.7
M 5 | 163 59.8 | 216 28.6 S21 00.1 | 289 01.3 S19 16.5 | 102 35.1 N19 56.8 | 176 16.9 S 7 29.6
O
N 6 | 179 02.2 | 231 27.9 S20 59.4 | 304 02.0 S19 16.9 | 117 37.8 N19 56.7 | 191 19.3 S 7 29.6
D 7 | 194 04.7 | 246 27.2 S20 58.7 | 319 02.7 S19 17.3 | 132 40.6 N19 56.7 | 206 21.6 S 7 29.5
A 8 | 209 07.2 | 261 26.5 S20 57.9 | 334 03.4 S19 17.7 | 147 43.3 N19 56.6 | 221 24.0 S 7 29.5
Y 9 | 224 09.6 | 276 25.8 S20 57.2 | 349 04.1 S19 18.1 | 162 46.1 N19 56.6 | 236 26.3 S 7 29.4
10 | 239 12.1 | 291 25.1 S20 56.4 | 4 04.8 S19 18.5 | 177 48.8 N19 56.6 | 251 28.6 S 7 29.3
11 | 254 14.6 | 306 24.4 S20 55.7 | 19 05.5 S19 18.9 | 192 51.6 N19 56.5 | 266 31.0 S 7 29.3
12 | 269 17.0 | 321 23.7 S20 54.9 | 34 06.2 S19 19.4 | 207 54.3 N19 56.5 | 281 33.3 S 7 29.2
13 | 284 19.5 | 336 23.0 S20 54.2 | 49 06.9 S19 19.8 | 222 57.1 N19 56.4 | 296 35.6 S 7 29.2
14 | 299 21.9 | 351 22.3 S20 53.4 | 64 07.6 S19 20.2 | 237 59.8 N19 56.4 | 311 38.0 S 7 29.1
15 | 314 24.4 | 6 21.6 S20 52.7 | 79 08.3 S19 20.6 | 253 02.6 N19 56.3 | 326 40.3 S 7 29.0
16 | 329 26.9 | 21 20.9 S20 51.9 | 94 09.0 S19 21.0 | 268 05.4 N19 56.3 | 341 42.7 S 7 29.0
17 | 344 29.3 | 36 20.2 S20 51.2 | 109 09.7 S19 21.4 | 283 08.1 N19 56.2 | 356 45.0 S 7 28.9
18 | 359 31.8 | 51 19.5 S20 50.4 | 124 10.4 S19 21.8 | 298 10.9 N19 56.2 | 11 47.3 S 7 28.9
19 | 14 34.3 | 66 18.8 S20 49.7 | 139 11.1 S19 22.2 | 313 13.6 N19 56.2 | 26 49.7 S 7 28.8
20 | 29 36.7 | 81 18.1 S20 48.9 | 154 11.8 S19 22.6 | 328 16.4 N19 56.1 | 41 52.0 S 7 28.7
21 | 44 39.2 | 96 17.4 S20 48.2 | 169 12.6 S19 23.1 | 343 19.1 N19 56.1 | 56 54.3 S 7 28.7
22 | 59 41.7 | 111 16.7 S20 47.4 | 184 13.3 S19 23.5 | 358 21.9 N19 56.0 | 71 56.7 S 7 28.6
23 | 74 44.1 | 126 16.0 S20 46.7 | 199 14.0 S19 23.9 | 13 24.6 N19 56.0 | 86 59.0 S 7 28.6
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.7 d 0.7 | v 0.7 d 0.4 | v 2.8 d 0.0 | v 2.3 d 0.1
2083 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 55.6 S23 22.5 | 71 26.3 14.7 N12 05.1 12.3 55.2 | Acamar 314 37.7 S39 58.3
1 | 195 55.2 S23 22.6 | 85 59.9 14.7 N12 17.4 12.3 55.2 | Achernar 334 46.9 S56 48.9
2 | 210 54.9 S23 22.7 | 100 33.6 14.6 N12 29.7 12.2 55.2 | Acrux 172 10.2 S63 33.6
3 | 225 54.6 S23 22.8 | 115 07.2 14.6 N12 41.8 12.2 55.2 | Adhara 254 30.5 S29 05.3
4 | 240 54.3 S23 22.8 | 129 40.8 14.6 N12 53.9 12.1 55.2 | Albireo 66 28.5 N28 08.4
S 5 | 255 54.0 S23 22.9 | 144 14.3 14.6 N13 06.0 12.0 55.1 |
A | | | Aldebaran 289 48.2 N16 40.5
T 6 | 270 53.7 S23 23.0 | 158 47.9 14.5 N13 18.0 12.0 55.1 | Alioth 165 34.2 N55 30.0
U 7 | 285 53.4 S23 23.0 | 173 21.4 14.5 N13 29.9 11.9 55.1 | Alkaid 152 17.3 N48 53.4
R 8 | 300 53.1 S23 23.1 | 187 54.9 14.5 N13 41.7 11.9 55.1 | Al Na-ir 26 37.4 S46 33.3
D 9 | 315 52.8 S23 23.2 | 202 28.4 14.5 N13 53.5 11.8 55.0 | Alnilam 274 52.2 S 1 09.1
A 10 | 330 52.5 S23 23.2 | 217 01.8 14.4 N14 05.2 11.7 55.0 |
Y 11 | 345 52.2 S23 23.3 | 231 35.2 14.4 N14 16.9 11.7 55.0 | Alphard 217 03.8 S 9 01.5
| | | Alphecca 125 26.4 N26 25.9
12 | 0 51.9 S23 23.3 | 246 08.6 14.4 N14 28.5 11.6 55.0 | Alpheratz 356 48.6 N29 33.5
13 | 15 51.6 S23 23.4 | 260 41.9 14.3 N14 40.0 11.5 55.0 | Altair 61 16.9 N 9 05.6
14 | 30 51.3 S23 23.5 | 275 15.3 14.3 N14 51.5 11.5 54.9 | Ankaa 352 23.3 S41 51.2
15 | 45 51.0 S23 23.5 | 289 48.6 14.3 N15 02.8 11.4 54.9 |
16 | 60 50.7 S23 23.6 | 304 21.8 14.3 N15 14.2 11.3 54.9 | Antares 111 21.6 S26 36.8
17 | 75 50.3 S23 23.7 | 318 55.0 14.2 N15 25.4 11.2 54.9 | Arcturus 145 07.6 N18 44.7
| | | Atria 105 36.4 S69 10.4
18 | 90 50.0 S23 23.7 | 333 28.2 14.2 N15 36.6 11.2 54.9 | Avior 233 55.9 S59 46.7
19 | 105 49.7 S23 23.8 | 348 01.4 14.2 N15 47.7 11.1 54.8 | Bellatrix 277 34.8 N 6 25.3
20 | 120 49.4 S23 23.8 | 2 34.5 14.1 N15 58.7 11.0 54.8 |
21 | 135 49.1 S23 23.9 | 17 07.6 14.1 N16 09.7 11.0 54.8 | Betelgeuse 270 03.6 N 7 25.1
22 | 150 48.8 S23 23.9 | 31 40.6 14.0 N16 20.5 10.9 54.8 | Canopus 263 32.0 S52 44.5
23 | 165 48.5 S23 24.0 | 46 13.6 14.0 N16 31.3 10.8 54.8 | Capella 279 15.6 N46 04.7
------+-------------------+----------------------------------| Castor 245 00.0 N31 41.9
19 0 | 180 48.2 S23 24.0 | 60 46.6 14.0 N16 42.1 10.7 54.7 | Deneb 48 55.8 N45 35.1
1 | 195 47.9 S23 24.1 | 75 19.5 13.9 N16 52.7 10.7 54.7 |
2 | 210 47.6 S23 24.1 | 89 52.4 13.9 N17 03.3 10.6 54.7 | Denebola 181 39.6 N14 06.0
3 | 225 47.3 S23 24.2 | 104 25.3 13.9 N17 13.8 10.5 54.7 | Diphda 348 02.7 S17 31.6
4 | 240 47.0 S23 24.2 | 118 58.1 13.8 N17 24.2 10.4 54.7 | Dubhe 192 46.6 N61 17.4
S 5 | 255 46.7 S23 24.3 | 133 30.9 13.8 N17 34.6 10.3 54.7 | Elnath 277 05.3 N28 40.4
U | | | Eltanin 90 22.1 N51 28.8
N 6 | 270 46.4 S23 24.3 | 148 03.6 13.7 N17 44.8 10.3 54.6 |
D 7 | 285 46.0 S23 24.4 | 162 36.3 13.7 N17 55.0 10.2 54.6 | Enif 32 55.2 N10 15.8
A 8 | 300 45.7 S23 24.4 | 177 08.9 13.7 N18 05.1 10.1 54.6 | Fomalhaut 14 25.6 S29 10.7
Y 9 | 315 45.4 S23 24.5 | 191 41.5 13.6 N18 15.1 10.0 54.6 | Gacrux 171 02.0 S57 34.8
10 | 330 45.1 S23 24.5 | 206 14.1 13.6 N18 25.1 9.9 54.6 | Gienah 174 57.8 S18 00.4
11 | 345 44.8 S23 24.6 | 220 46.6 13.5 N18 34.9 9.9 54.6 | Hadar 147 33.1 S60 46.3
| | |
12 | 0 44.5 S23 24.6 | 235 19.1 13.5 N18 44.7 9.8 54.5 | Hamal 327 00.7 N23 51.7
13 | 15 44.2 S23 24.7 | 249 51.6 13.4 N18 54.4 9.7 54.5 | Kaus Austr. 82 34.0 S34 20.5
14 | 30 43.9 S23 24.7 | 264 24.0 13.4 N19 04.0 9.6 54.5 | Kochab 137 22.8 N73 48.4
15 | 45 43.6 S23 24.7 | 278 56.3 13.4 N19 13.5 9.5 54.5 | Markab 12 45.6 N15 39.6
16 | 60 43.3 S23 24.8 | 293 28.6 13.3 N19 22.9 9.4 54.5 | Menkar 313 19.3 N 4 25.1
17 | 75 43.0 S23 24.8 | 308 00.9 13.3 N19 32.3 9.3 54.5 |
| | | Menkent 147 05.3 S36 46.8
18 | 90 42.7 S23 24.9 | 322 33.1 13.2 N19 41.5 9.3 54.4 | Miaplacidus 221 27.9 S70 03.6
19 | 105 42.4 S23 24.9 | 337 05.3 13.2 N19 50.7 9.2 54.4 | Mirfak 307 24.0 N50 09.6
20 | 120 42.0 S23 24.9 | 351 37.4 13.1 N19 59.8 9.1 54.4 | Nunki 74 53.1 S26 11.3
21 | 135 41.7 S23 25.0 | 6 09.5 13.1 N20 08.8 9.0 54.4 | Peacock 51 56.3 S56 27.8
22 | 150 41.4 S23 25.0 | 20 41.5 13.0 N20 17.7 8.9 54.4 |
23 | 165 41.1 S23 25.0 | 35 13.5 13.0 N20 26.5 8.8 54.4 | Polaris 301 07.5 N89 37.8
------+-------------------+----------------------------------| Pollux 242 22.7 N27 49.1
20 0 | 180 40.8 S23 25.1 | 49 45.4 12.9 N20 35.2 8.7 54.4 | Procyon 244 04.0 N 5 00.3
1 | 195 40.5 S23 25.1 | 64 17.3 12.9 N20 43.8 8.6 54.4 | Rasalhague 95 17.6 N12 30.1
2 | 210 40.2 S23 25.1 | 78 49.2 12.8 N20 52.3 8.5 54.3 | Regulus 206 47.0 N11 33.2
3 | 225 39.9 S23 25.2 | 93 21.0 12.8 N21 00.7 8.4 54.3 |
4 | 240 39.6 S23 25.2 | 107 52.7 12.8 N21 09.1 8.3 54.3 | Rigel 280 20.8 S 8 06.5
M 5 | 255 39.3 S23 25.2 | 122 24.4 12.7 N21 17.3 8.2 54.3 | Rigil Kent 138 40.0 S61 10.6
O | | | Sabik 101 12.1 S15 49.5
N 6 | 270 39.0 S23 25.3 | 136 56.1 12.7 N21 25.5 8.1 54.3 | Schedar 348 40.0 N57 00.2
D 7 | 285 38.7 S23 25.3 | 151 27.7 12.6 N21 33.5 8.0 54.3 | Shaula 95 10.4 S37 09.6
A 8 | 300 38.3 S23 25.3 | 165 59.3 12.6 N21 41.5 8.0 54.3 |
Y 9 | 315 38.0 S23 25.3 | 180 30.8 12.5 N21 49.3 7.9 54.3 | Sirius 257 46.7 S16 50.0
10 | 330 37.7 S23 25.4 | 195 02.3 12.5 N21 57.1 7.8 54.3 | Spica 157 35.5 S11 35.9
11 | 345 37.4 S23 25.4 | 209 33.7 12.4 N22 04.7 7.7 54.2 | Suhail 222 13.2 S43 46.3
| | | Vega 80 03.5 N38 51.9
12 | 0 37.1 S23 25.4 | 224 05.1 12.4 N22 12.3 7.6 54.2 | Zuben-ubi 136 09.3 S16 23.3
13 | 15 36.8 S23 25.4 | 238 36.4 12.3 N22 19.7 7.5 54.2 |
14 | 30 36.5 S23 25.5 | 253 07.7 12.3 N22 27.1 7.4 54.2 |
15 | 45 36.2 S23 25.5 | 267 38.9 12.2 N22 34.3 7.2 54.2 |
16 | 60 35.9 S23 25.5 | 282 10.1 12.2 N22 41.5 7.1 54.2 |
17 | 75 35.6 S23 25.5 | 296 41.3 12.1 N22 48.5 7.0 54.2 |
| | |
18 | 90 35.3 S23 25.5 | 311 12.4 12.1 N22 55.5 6.9 54.2 |
19 | 105 34.9 S23 25.6 | 325 43.4 12.1 N23 02.3 6.8 54.2 |
20 | 120 34.6 S23 25.6 | 340 14.4 12.0 N23 09.0 6.7 54.2 |
21 | 135 34.3 S23 25.6 | 354 45.4 12.0 N23 15.6 6.6 54.1 |
22 | 150 34.0 S23 25.6 | 9 16.3 11.9 N23 22.2 6.5 54.1 |
23 | 165 33.7 S23 25.6 | 23 47.2 11.9 N23 28.6 6.4 54.1 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 15.0 14.9 14.8 |