
2618 DEC. 19, 20, 21 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 15.1 | 198 40.1 S21 01.6 | 88 59.6 S 1 23.5 | 325 34.6 N20 22.0 | 34 16.9 N16 34.4
1 | 102 17.6 | 213 39.3 S21 02.1 | 104 00.6 S 1 22.8 | 340 37.3 N20 22.0 | 49 19.6 N16 34.4
2 | 117 20.0 | 228 38.4 S21 02.6 | 119 01.7 S 1 22.1 | 355 40.0 N20 22.1 | 64 22.2 N16 34.4
3 | 132 22.5 | 243 37.6 S21 03.2 | 134 02.7 S 1 21.4 | 10 42.7 N20 22.1 | 79 24.8 N16 34.3
4 | 147 25.0 | 258 36.7 S21 03.7 | 149 03.8 S 1 20.7 | 25 45.5 N20 22.2 | 94 27.4 N16 34.3
S 5 | 162 27.4 | 273 35.9 S21 04.3 | 164 04.8 S 1 20.0 | 40 48.2 N20 22.2 | 109 30.0 N16 34.3
A
T 6 | 177 29.9 | 288 35.0 S21 04.8 | 179 05.9 S 1 19.3 | 55 50.9 N20 22.3 | 124 32.7 N16 34.2
U 7 | 192 32.3 | 303 34.2 S21 05.3 | 194 06.9 S 1 18.6 | 70 53.6 N20 22.4 | 139 35.3 N16 34.2
R 8 | 207 34.8 | 318 33.3 S21 05.9 | 209 08.0 S 1 17.9 | 85 56.3 N20 22.4 | 154 37.9 N16 34.2
D 9 | 222 37.3 | 333 32.5 S21 06.4 | 224 09.0 S 1 17.2 | 100 59.0 N20 22.5 | 169 40.5 N16 34.1
A 10 | 237 39.7 | 348 31.6 S21 06.9 | 239 10.1 S 1 16.5 | 116 01.7 N20 22.5 | 184 43.2 N16 34.1
Y 11 | 252 42.2 | 3 30.8 S21 07.5 | 254 11.1 S 1 15.8 | 131 04.5 N20 22.6 | 199 45.8 N16 34.1
12 | 267 44.7 | 18 29.9 S21 08.0 | 269 12.2 S 1 15.1 | 146 07.2 N20 22.6 | 214 48.4 N16 34.1
13 | 282 47.1 | 33 29.1 S21 08.5 | 284 13.2 S 1 14.4 | 161 09.9 N20 22.7 | 229 51.0 N16 34.0
14 | 297 49.6 | 48 28.2 S21 09.1 | 299 14.3 S 1 13.7 | 176 12.6 N20 22.8 | 244 53.6 N16 34.0
15 | 312 52.1 | 63 27.4 S21 09.6 | 314 15.3 S 1 13.1 | 191 15.3 N20 22.8 | 259 56.3 N16 34.0
16 | 327 54.5 | 78 26.5 S21 10.1 | 329 16.3 S 1 12.4 | 206 18.0 N20 22.9 | 274 58.9 N16 34.0
17 | 342 57.0 | 93 25.7 S21 10.6 | 344 17.4 S 1 11.7 | 221 20.8 N20 22.9 | 290 01.5 N16 33.9
18 | 357 59.4 | 108 24.8 S21 11.2 | 359 18.4 S 1 11.0 | 236 23.5 N20 23.0 | 305 04.1 N16 33.9
19 | 13 01.9 | 123 24.0 S21 11.7 | 14 19.5 S 1 10.3 | 251 26.2 N20 23.0 | 320 06.7 N16 33.9
20 | 28 04.4 | 138 23.1 S21 12.2 | 29 20.5 S 1 09.6 | 266 28.9 N20 23.1 | 335 09.4 N16 33.8
21 | 43 06.8 | 153 22.3 S21 12.7 | 44 21.6 S 1 08.9 | 281 31.6 N20 23.2 | 350 12.0 N16 33.8
22 | 58 09.3 | 168 21.4 S21 13.3 | 59 22.6 S 1 08.2 | 296 34.3 N20 23.2 | 5 14.6 N16 33.8
23 | 73 11.8 | 183 20.6 S21 13.8 | 74 23.7 S 1 07.5 | 311 37.1 N20 23.3 | 20 17.2 N16 33.8
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 14.2 | 198 19.7 S21 14.3 | 89 24.7 S 1 06.8 | 326 39.8 N20 23.3 | 35 19.8 N16 33.7
1 | 103 16.7 | 213 18.8 S21 14.8 | 104 25.7 S 1 06.1 | 341 42.5 N20 23.4 | 50 22.5 N16 33.7
2 | 118 19.2 | 228 18.0 S21 15.3 | 119 26.8 S 1 05.4 | 356 45.2 N20 23.4 | 65 25.1 N16 33.7
3 | 133 21.6 | 243 17.1 S21 15.9 | 134 27.8 S 1 04.7 | 11 47.9 N20 23.5 | 80 27.7 N16 33.6
4 | 148 24.1 | 258 16.3 S21 16.4 | 149 28.9 S 1 04.0 | 26 50.6 N20 23.6 | 95 30.3 N16 33.6
S 5 | 163 26.6 | 273 15.4 S21 16.9 | 164 29.9 S 1 03.3 | 41 53.4 N20 23.6 | 110 32.9 N16 33.6
U
N 6 | 178 29.0 | 288 14.6 S21 17.4 | 179 31.0 S 1 02.6 | 56 56.1 N20 23.7 | 125 35.6 N16 33.6
D 7 | 193 31.5 | 303 13.7 S21 17.9 | 194 32.0 S 1 01.9 | 71 58.8 N20 23.7 | 140 38.2 N16 33.5
A 8 | 208 33.9 | 318 12.8 S21 18.4 | 209 33.1 S 1 01.2 | 87 01.5 N20 23.8 | 155 40.8 N16 33.5
Y 9 | 223 36.4 | 333 12.0 S21 18.9 | 224 34.1 S 1 00.5 | 102 04.2 N20 23.8 | 170 43.4 N16 33.5
10 | 238 38.9 | 348 11.1 S21 19.4 | 239 35.1 S 0 59.8 | 117 07.0 N20 23.9 | 185 46.0 N16 33.4
11 | 253 41.3 | 3 10.3 S21 19.9 | 254 36.2 S 0 59.2 | 132 09.7 N20 24.0 | 200 48.7 N16 33.4
12 | 268 43.8 | 18 09.4 S21 20.4 | 269 37.2 S 0 58.5 | 147 12.4 N20 24.0 | 215 51.3 N16 33.4
13 | 283 46.3 | 33 08.5 S21 21.0 | 284 38.3 S 0 57.8 | 162 15.1 N20 24.1 | 230 53.9 N16 33.4
14 | 298 48.7 | 48 07.7 S21 21.5 | 299 39.3 S 0 57.1 | 177 17.9 N20 24.1 | 245 56.5 N16 33.3
15 | 313 51.2 | 63 06.8 S21 22.0 | 314 40.4 S 0 56.4 | 192 20.6 N20 24.2 | 260 59.1 N16 33.3
16 | 328 53.7 | 78 06.0 S21 22.5 | 329 41.4 S 0 55.7 | 207 23.3 N20 24.2 | 276 01.7 N16 33.3
17 | 343 56.1 | 93 05.1 S21 23.0 | 344 42.4 S 0 55.0 | 222 26.0 N20 24.3 | 291 04.4 N16 33.3
18 | 358 58.6 | 108 04.2 S21 23.5 | 359 43.5 S 0 54.3 | 237 28.7 N20 24.4 | 306 07.0 N16 33.2
19 | 14 01.1 | 123 03.4 S21 24.0 | 14 44.5 S 0 53.6 | 252 31.5 N20 24.4 | 321 09.6 N16 33.2
20 | 29 03.5 | 138 02.5 S21 24.5 | 29 45.6 S 0 52.9 | 267 34.2 N20 24.5 | 336 12.2 N16 33.2
21 | 44 06.0 | 153 01.7 S21 25.0 | 44 46.6 S 0 52.2 | 282 36.9 N20 24.5 | 351 14.8 N16 33.1
22 | 59 08.4 | 168 00.8 S21 25.5 | 59 47.6 S 0 51.5 | 297 39.6 N20 24.6 | 6 17.4 N16 33.1
23 | 74 10.9 | 182 59.9 S21 25.9 | 74 48.7 S 0 50.8 | 312 42.4 N20 24.6 | 21 20.1 N16 33.1
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 13.4 | 197 59.1 S21 26.4 | 89 49.7 S 0 50.1 | 327 45.1 N20 24.7 | 36 22.7 N16 33.1
1 | 104 15.8 | 212 58.2 S21 26.9 | 104 50.8 S 0 49.4 | 342 47.8 N20 24.8 | 51 25.3 N16 33.0
2 | 119 18.3 | 227 57.3 S21 27.4 | 119 51.8 S 0 48.7 | 357 50.5 N20 24.8 | 66 27.9 N16 33.0
3 | 134 20.8 | 242 56.5 S21 27.9 | 134 52.8 S 0 48.0 | 12 53.3 N20 24.9 | 81 30.5 N16 33.0
4 | 149 23.2 | 257 55.6 S21 28.4 | 149 53.9 S 0 47.3 | 27 56.0 N20 24.9 | 96 33.1 N16 33.0
M 5 | 164 25.7 | 272 54.7 S21 28.9 | 164 54.9 S 0 46.6 | 42 58.7 N20 25.0 | 111 35.8 N16 32.9
O
N 6 | 179 28.2 | 287 53.9 S21 29.4 | 179 56.0 S 0 45.9 | 58 01.4 N20 25.1 | 126 38.4 N16 32.9
D 7 | 194 30.6 | 302 53.0 S21 29.9 | 194 57.0 S 0 45.2 | 73 04.2 N20 25.1 | 141 41.0 N16 32.9
A 8 | 209 33.1 | 317 52.1 S21 30.3 | 209 58.0 S 0 44.5 | 88 06.9 N20 25.2 | 156 43.6 N16 32.9
Y 9 | 224 35.6 | 332 51.3 S21 30.8 | 224 59.1 S 0 43.9 | 103 09.6 N20 25.2 | 171 46.2 N16 32.8
10 | 239 38.0 | 347 50.4 S21 31.3 | 240 00.1 S 0 43.2 | 118 12.3 N20 25.3 | 186 48.8 N16 32.8
11 | 254 40.5 | 2 49.5 S21 31.8 | 255 01.2 S 0 42.5 | 133 15.1 N20 25.3 | 201 51.5 N16 32.8
12 | 269 42.9 | 17 48.6 S21 32.3 | 270 02.2 S 0 41.8 | 148 17.8 N20 25.4 | 216 54.1 N16 32.7
13 | 284 45.4 | 32 47.8 S21 32.8 | 285 03.2 S 0 41.1 | 163 20.5 N20 25.5 | 231 56.7 N16 32.7
14 | 299 47.9 | 47 46.9 S21 33.2 | 300 04.3 S 0 40.4 | 178 23.3 N20 25.5 | 246 59.3 N16 32.7
15 | 314 50.3 | 62 46.0 S21 33.7 | 315 05.3 S 0 39.7 | 193 26.0 N20 25.6 | 262 01.9 N16 32.7
16 | 329 52.8 | 77 45.2 S21 34.2 | 330 06.4 S 0 39.0 | 208 28.7 N20 25.6 | 277 04.5 N16 32.6
17 | 344 55.3 | 92 44.3 S21 34.7 | 345 07.4 S 0 38.3 | 223 31.4 N20 25.7 | 292 07.1 N16 32.6
18 | 359 57.7 | 107 43.4 S21 35.1 | 0 08.4 S 0 37.6 | 238 34.2 N20 25.8 | 307 09.8 N16 32.6
19 | 15 00.2 | 122 42.5 S21 35.6 | 15 09.5 S 0 36.9 | 253 36.9 N20 25.8 | 322 12.4 N16 32.6
20 | 30 02.7 | 137 41.7 S21 36.1 | 30 10.5 S 0 36.2 | 268 39.6 N20 25.9 | 337 15.0 N16 32.5
21 | 45 05.1 | 152 40.8 S21 36.5 | 45 11.5 S 0 35.5 | 283 42.4 N20 25.9 | 352 17.6 N16 32.5
22 | 60 07.6 | 167 39.9 S21 37.0 | 60 12.6 S 0 34.8 | 298 45.1 N20 26.0 | 7 20.2 N16 32.5
23 | 75 10.0 | 182 39.1 S21 37.5 | 75 13.6 S 0 34.1 | 313 47.8 N20 26.1 | 22 22.8 N16 32.5
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.9 d 0.5 | v 1.0 d 0.7 | v 2.7 d 0.1 | v 2.6 d 0.0
2618 DEC. 19, 20, 21 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 08.7 S23 18.8 | 68 11.9 11.9 N 6 33.6 16.0 59.2 | Acamar 309 31.5 S37 51.1
1 | 196 08.4 S23 18.8 | 82 42.7 11.8 N 6 49.6 16.0 59.2 | Achernar 329 46.8 S54 07.0
2 | 211 08.1 S23 18.9 | 97 13.4 11.7 N 7 05.5 16.0 59.2 | Acrux 164 38.2 S66 30.5
3 | 226 07.8 S23 19.0 | 111 44.0 11.6 N 7 21.5 16.0 59.3 | Adhara 249 13.1 S29 50.1
4 | 241 07.5 S23 19.0 | 126 14.6 11.6 N 7 37.4 15.9 59.3 | Albireo 61 03.0 N29 16.7
S 5 | 256 07.2 S23 19.1 | 140 45.1 11.5 N 7 53.3 15.9 59.3 |
A | | | Aldebaran 282 05.8 N17 43.0
T 6 | 271 06.9 S23 19.2 | 155 15.5 11.4 N 8 09.2 15.9 59.4 | Alioth 159 41.0 N52 36.8
U 7 | 286 06.6 S23 19.2 | 169 45.8 11.3 N 8 25.1 15.9 59.4 | Alkaid 146 59.8 N46 14.4
R 8 | 301 06.3 S23 19.3 | 184 16.1 11.2 N 8 40.9 15.8 59.4 | Al Na-ir 18 13.2 S43 57.6
D 9 | 316 06.0 S23 19.3 | 198 46.2 11.2 N 8 56.8 15.8 59.5 | Alnilam 268 03.3 S 0 50.4
A 10 | 331 05.7 S23 19.4 | 213 16.3 11.1 N 9 12.6 15.8 59.5 |
Y 11 | 346 05.4 S23 19.5 | 227 46.3 11.0 N 9 28.3 15.8 59.6 | Alphard 210 28.0 S11 21.1
| | | Alphecca 119 44.7 N24 39.4
12 | 1 05.1 S23 19.5 | 242 16.2 10.9 N 9 44.1 15.7 59.6 | Alpheratz 349 51.2 N32 30.0
13 | 16 04.8 S23 19.6 | 256 46.0 10.8 N 9 59.8 15.7 59.6 | Altair 54 43.9 N10 31.6
14 | 31 04.5 S23 19.6 | 271 15.7 10.7 N10 15.4 15.7 59.7 | Ankaa 345 46.4 S38 57.8
15 | 46 04.2 S23 19.7 | 285 45.3 10.6 N10 31.1 15.6 59.7 |
16 | 61 03.9 S23 19.8 | 300 14.8 10.5 N10 46.7 15.6 59.7 | Antares 103 07.5 S27 45.9
17 | 76 03.6 S23 19.8 | 314 44.2 10.4 N11 02.2 15.6 59.8 | Arcturus 138 59.7 N15 58.9
| | | Atria 91 22.0 S70 05.8
18 | 91 03.3 S23 19.9 | 329 13.6 10.3 N11 17.7 15.5 59.8 | Avior 231 09.3 S61 30.2
19 | 106 03.0 S23 19.9 | 343 42.8 10.2 N11 33.2 15.5 59.8 | Bellatrix 270 22.7 N 6 52.5
20 | 121 02.7 S23 20.0 | 358 11.9 10.1 N11 48.6 15.4 59.9 |
21 | 136 02.4 S23 20.0 | 12 41.0 10.0 N12 04.0 15.4 59.9 | Betelgeuse 262 47.5 N 7 29.3
22 | 151 02.1 S23 20.1 | 27 09.9 9.9 N12 19.3 15.3 59.9 | Canopus 260 31.3 S53 02.8
23 | 166 01.8 S23 20.1 | 41 38.7 9.8 N12 34.6 15.3 60.0 | Capella 269 21.1 N46 34.8
------+-------------------+----------------------------------| Castor 236 27.6 N30 30.0
20 0 | 181 01.5 S23 20.2 | 56 07.4 9.7 N12 49.8 15.2 60.0 | Deneb 44 20.1 N47 30.2
1 | 196 01.2 S23 20.2 | 70 36.0 9.6 N13 05.0 15.2 60.0 |
2 | 211 00.9 S23 20.3 | 85 04.5 9.5 N13 20.1 15.1 60.0 | Denebola 174 49.3 N11 07.2
3 | 226 00.6 S23 20.3 | 99 32.9 9.4 N13 35.2 15.1 60.1 | Diphda 341 18.7 S14 36.4
4 | 241 00.3 S23 20.4 | 114 01.2 9.3 N13 50.2 15.0 60.1 | Dubhe 184 34.8 N58 24.2
S 5 | 256 00.0 S23 20.4 | 128 29.3 9.2 N14 05.1 14.9 60.1 | Elnath 268 36.4 N29 05.3
U | | | Eltanin 87 13.2 N51 25.8
N 6 | 270 59.7 S23 20.4 | 142 57.4 9.1 N14 20.0 14.9 60.2 |
D 7 | 285 59.4 S23 20.5 | 157 25.3 8.9 N14 34.8 14.8 60.2 | Enif 26 19.6 N12 43.3
A 8 | 300 59.1 S23 20.5 | 171 53.2 8.8 N14 49.5 14.7 60.2 | Fomalhaut 7 02.1 S26 20.8
Y 9 | 315 58.9 S23 20.6 | 186 20.9 8.7 N15 04.1 14.7 60.3 | Gacrux 163 32.2 S60 33.5
10 | 330 58.6 S23 20.6 | 200 48.5 8.6 N15 18.7 14.6 60.3 | Gienah 168 02.9 S20 57.8
11 | 345 58.3 S23 20.7 | 215 16.0 8.5 N15 33.2 14.5 60.3 | Hadar 138 00.8 S63 19.4
| | |
12 | 0 58.0 S23 20.7 | 229 43.3 8.4 N15 47.7 14.4 60.3 | Hamal 319 25.7 N26 21.8
13 | 15 57.7 S23 20.7 | 244 10.5 8.2 N16 02.0 14.4 60.4 | Kaus Austr. 73 40.5 S34 03.3
14 | 30 57.4 S23 20.8 | 258 37.7 8.1 N16 16.3 14.3 60.4 | Kochab 137 36.8 N71 37.5
15 | 45 57.1 S23 20.8 | 273 04.7 8.0 N16 30.5 14.2 60.4 | Markab 6 04.0 N18 32.0
16 | 60 56.8 S23 20.8 | 287 31.5 7.9 N16 44.6 14.1 60.5 | Menkar 306 17.7 N 6 29.2
17 | 75 56.5 S23 20.9 | 301 58.3 7.8 N16 58.6 14.0 60.5 |
| | | Menkent 139 09.9 S39 23.1
18 | 90 56.2 S23 20.9 | 316 24.9 7.6 N17 12.5 13.9 60.5 | Miaplacidus 219 59.3 S72 15.5
19 | 105 55.9 S23 20.9 | 330 51.4 7.5 N17 26.3 13.8 60.5 | Mirfak 297 47.2 N52 01.5
20 | 120 55.6 S23 21.0 | 345 17.8 7.4 N17 40.1 13.7 60.6 | Nunki 66 34.8 S25 29.6
21 | 135 55.3 S23 21.0 | 359 44.1 7.3 N17 53.7 13.6 60.6 | Peacock 41 24.4 S54 43.3
22 | 150 55.0 S23 21.0 | 14 10.2 7.1 N18 07.2 13.5 60.6 |
23 | 165 54.6 S23 21.1 | 28 36.2 7.0 N18 20.7 13.4 60.6 | Polaris 166 10.3 N92 01.9
------+-------------------+----------------------------------| Pollux 234 11.3 N26 30.0
21 0 | 180 54.4 S23 21.1 | 43 02.1 6.9 N18 34.0 13.3 60.7 | Procyon 237 02.9 N 3 36.7
1 | 195 54.0 S23 21.1 | 57 27.8 6.7 N18 47.2 13.2 60.7 | Rasalhague 89 03.3 N12 08.4
2 | 210 53.7 S23 21.2 | 71 53.4 6.6 N19 00.3 13.1 60.7 | Regulus 199 38.8 N 8 56.1
3 | 225 53.4 S23 21.2 | 86 18.9 6.5 N19 13.3 13.0 60.7 |
4 | 240 53.1 S23 21.2 | 100 44.3 6.4 N19 26.2 12.9 60.8 | Rigel 273 53.3 S 7 31.1
M 5 | 255 52.8 S23 21.2 | 115 09.5 6.2 N19 39.0 12.8 60.8 | Rigil Kent 129 29.7 S63 21.2
O | | | Sabik 93 30.2 S16 27.2
N 6 | 270 52.5 S23 21.3 | 129 34.6 6.1 N19 51.7 12.7 60.8 | Schedar 340 59.7 N59 55.2
D 7 | 285 52.2 S23 21.3 | 143 59.6 6.0 N20 04.2 12.5 60.8 | Shaula 86 04.0 S37 30.7
A 8 | 300 51.9 S23 21.3 | 158 24.5 5.8 N20 16.6 12.4 60.8 |
Y 9 | 315 51.6 S23 21.3 | 172 49.2 5.7 N20 28.9 12.3 60.9 | Sirius 251 51.5 S17 35.4
10 | 330 51.3 S23 21.4 | 187 13.8 5.6 N20 41.0 12.2 60.9 | Spica 150 30.5 S14 22.1
11 | 345 51.0 S23 21.4 | 201 38.2 5.5 N20 53.1 12.0 60.9 | Suhail 217 15.7 S45 56.2
| | | Vega 75 29.7 N39 22.8
12 | 0 50.7 S23 21.4 | 216 02.6 5.3 N21 05.0 11.9 60.9 | Zuben-ubi 128 56.2 S18 34.9
13 | 15 50.4 S23 21.4 | 230 26.8 5.2 N21 16.7 11.8 60.9 |
14 | 30 50.1 S23 21.4 | 244 50.9 5.1 N21 28.4 11.6 61.0 |
15 | 45 49.8 S23 21.5 | 259 14.8 5.0 N21 39.8 11.5 61.0 |
16 | 60 49.5 S23 21.5 | 273 38.6 4.8 N21 51.2 11.3 61.0 |
17 | 75 49.2 S23 21.5 | 288 02.3 4.7 N22 02.4 11.2 61.0 |
| | |
18 | 90 48.9 S23 21.5 | 302 25.9 4.6 N22 13.4 11.1 61.0 |
19 | 105 48.6 S23 21.5 | 316 49.3 4.4 N22 24.3 10.9 61.1 |
20 | 120 48.3 S23 21.5 | 331 12.7 4.3 N22 35.1 10.8 61.1 |
21 | 135 48.0 S23 21.5 | 345 35.9 4.2 N22 45.7 10.6 61.1 |
22 | 150 47.7 S23 21.6 | 359 58.9 4.1 N22 56.2 10.4 61.1 |
23 | 165 47.4 S23 21.6 | 14 21.9 4.0 N23 06.4 10.3 61.1 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 16.2 16.4 16.6 |
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