
2731 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 | 86 53.8 | 224 51.4 S13 29.0 | 39 12.3 N19 13.2 | 156 32.4 S22 07.7 | 92 10.9 S 4 34.4
1 | 101 56.3 | 239 52.2 S13 29.3 | 54 14.9 N19 13.3 | 171 34.3 S22 07.6 | 107 13.2 S 4 34.3
2 | 116 58.8 | 254 53.0 S13 29.5 | 69 17.5 N19 13.3 | 186 36.2 S22 07.6 | 122 15.6 S 4 34.3
3 | 132 01.2 | 269 53.8 S13 29.8 | 84 20.2 N19 13.3 | 201 38.0 S22 07.5 | 137 18.0 S 4 34.2
4 | 147 03.7 | 284 54.6 S13 30.0 | 99 22.8 N19 13.4 | 216 39.9 S22 07.4 | 152 20.4 S 4 34.2
S 5 | 162 06.2 | 299 55.4 S13 30.3 | 114 25.4 N19 13.4 | 231 41.8 S22 07.3 | 167 22.8 S 4 34.2
A
T 6 | 177 08.6 | 314 56.2 S13 30.5 | 129 28.0 N19 13.4 | 246 43.7 S22 07.3 | 182 25.1 S 4 34.1
U 7 | 192 11.1 | 329 57.0 S13 30.8 | 144 30.6 N19 13.5 | 261 45.5 S22 07.2 | 197 27.5 S 4 34.1
R 8 | 207 13.6 | 344 57.8 S13 31.0 | 159 33.3 N19 13.5 | 276 47.4 S22 07.1 | 212 29.9 S 4 34.0
D 9 | 222 16.0 | 359 58.6 S13 31.3 | 174 35.9 N19 13.5 | 291 49.3 S22 07.1 | 227 32.3 S 4 34.0
A 10 | 237 18.5 | 14 59.4 S13 31.5 | 189 38.5 N19 13.6 | 306 51.1 S22 07.0 | 242 34.7 S 4 33.9
Y 11 | 252 20.9 | 30 00.2 S13 31.8 | 204 41.1 N19 13.6 | 321 53.0 S22 06.9 | 257 37.0 S 4 33.9
12 | 267 23.4 | 45 01.0 S13 32.0 | 219 43.7 N19 13.6 | 336 54.9 S22 06.8 | 272 39.4 S 4 33.8
13 | 282 25.9 | 60 01.8 S13 32.3 | 234 46.3 N19 13.7 | 351 56.7 S22 06.8 | 287 41.8 S 4 33.8
14 | 297 28.3 | 75 02.6 S13 32.5 | 249 48.9 N19 13.7 | 6 58.6 S22 06.7 | 302 44.2 S 4 33.8
15 | 312 30.8 | 90 03.3 S13 32.8 | 264 51.5 N19 13.8 | 22 00.5 S22 06.6 | 317 46.6 S 4 33.7
16 | 327 33.3 | 105 04.1 S13 33.0 | 279 54.2 N19 13.8 | 37 02.4 S22 06.5 | 332 48.9 S 4 33.7
17 | 342 35.7 | 120 04.9 S13 33.3 | 294 56.8 N19 13.8 | 52 04.2 S22 06.5 | 347 51.3 S 4 33.6
18 | 357 38.2 | 135 05.7 S13 33.6 | 309 59.4 N19 13.9 | 67 06.1 S22 06.4 | 2 53.7 S 4 33.6
19 | 12 40.7 | 150 06.5 S13 33.8 | 325 02.0 N19 13.9 | 82 08.0 S22 06.3 | 17 56.1 S 4 33.5
20 | 27 43.1 | 165 07.2 S13 34.1 | 340 04.6 N19 13.9 | 97 09.8 S22 06.2 | 32 58.4 S 4 33.5
21 | 42 45.6 | 180 08.0 S13 34.3 | 355 07.2 N19 14.0 | 112 11.7 S22 06.2 | 48 00.8 S 4 33.4
22 | 57 48.1 | 195 08.8 S13 34.6 | 10 09.8 N19 14.0 | 127 13.6 S22 06.1 | 63 03.2 S 4 33.4
23 | 72 50.5 | 210 09.5 S13 34.9 | 25 12.4 N19 14.0 | 142 15.4 S22 06.0 | 78 05.6 S 4 33.3
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 87 53.0 | 225 10.3 S13 35.1 | 40 15.0 N19 14.1 | 157 17.3 S22 06.0 | 93 07.9 S 4 33.3
1 | 102 55.4 | 240 11.1 S13 35.4 | 55 17.5 N19 14.1 | 172 19.2 S22 05.9 | 108 10.3 S 4 33.3
2 | 117 57.9 | 255 11.8 S13 35.7 | 70 20.1 N19 14.2 | 187 21.1 S22 05.8 | 123 12.7 S 4 33.2
3 | 133 00.4 | 270 12.6 S13 35.9 | 85 22.7 N19 14.2 | 202 22.9 S22 05.7 | 138 15.1 S 4 33.2
4 | 148 02.8 | 285 13.3 S13 36.2 | 100 25.3 N19 14.2 | 217 24.8 S22 05.7 | 153 17.5 S 4 33.1
S 5 | 163 05.3 | 300 14.1 S13 36.5 | 115 27.9 N19 14.3 | 232 26.7 S22 05.6 | 168 19.8 S 4 33.1
U
N 6 | 178 07.8 | 315 14.8 S13 36.7 | 130 30.5 N19 14.3 | 247 28.5 S22 05.5 | 183 22.2 S 4 33.0
D 7 | 193 10.2 | 330 15.6 S13 37.0 | 145 33.1 N19 14.4 | 262 30.4 S22 05.4 | 198 24.6 S 4 33.0
A 8 | 208 12.7 | 345 16.3 S13 37.3 | 160 35.7 N19 14.4 | 277 32.3 S22 05.4 | 213 27.0 S 4 32.9
Y 9 | 223 15.2 | 0 17.1 S13 37.6 | 175 38.2 N19 14.4 | 292 34.1 S22 05.3 | 228 29.3 S 4 32.9
10 | 238 17.6 | 15 17.8 S13 37.8 | 190 40.8 N19 14.5 | 307 36.0 S22 05.2 | 243 31.7 S 4 32.8
11 | 253 20.1 | 30 18.6 S13 38.1 | 205 43.4 N19 14.5 | 322 37.9 S22 05.1 | 258 34.1 S 4 32.8
12 | 268 22.6 | 45 19.3 S13 38.4 | 220 46.0 N19 14.6 | 337 39.7 S22 05.1 | 273 36.5 S 4 32.7
13 | 283 25.0 | 60 20.0 S13 38.7 | 235 48.5 N19 14.6 | 352 41.6 S22 05.0 | 288 38.8 S 4 32.7
14 | 298 27.5 | 75 20.8 S13 38.9 | 250 51.1 N19 14.7 | 7 43.5 S22 04.9 | 303 41.2 S 4 32.7
15 | 313 29.9 | 90 21.5 S13 39.2 | 265 53.7 N19 14.7 | 22 45.3 S22 04.8 | 318 43.6 S 4 32.6
16 | 328 32.4 | 105 22.2 S13 39.5 | 280 56.3 N19 14.7 | 37 47.2 S22 04.8 | 333 45.9 S 4 32.6
17 | 343 34.9 | 120 23.0 S13 39.8 | 295 58.8 N19 14.8 | 52 49.1 S22 04.7 | 348 48.3 S 4 32.5
18 | 358 37.3 | 135 23.7 S13 40.1 | 311 01.4 N19 14.8 | 67 50.9 S22 04.6 | 3 50.7 S 4 32.5
19 | 13 39.8 | 150 24.4 S13 40.3 | 326 04.0 N19 14.9 | 82 52.8 S22 04.5 | 18 53.1 S 4 32.4
20 | 28 42.3 | 165 25.2 S13 40.6 | 341 06.5 N19 14.9 | 97 54.7 S22 04.5 | 33 55.4 S 4 32.4
21 | 43 44.7 | 180 25.9 S13 40.9 | 356 09.1 N19 15.0 | 112 56.5 S22 04.4 | 48 57.8 S 4 32.3
22 | 58 47.2 | 195 26.6 S13 41.2 | 11 11.7 N19 15.0 | 127 58.4 S22 04.3 | 64 00.2 S 4 32.3
23 | 73 49.7 | 210 27.3 S13 41.5 | 26 14.2 N19 15.0 | 143 00.3 S22 04.2 | 79 02.6 S 4 32.2
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 88 52.1 | 225 28.0 S13 41.8 | 41 16.8 N19 15.1 | 158 02.2 S22 04.2 | 94 04.9 S 4 32.2
1 | 103 54.6 | 240 28.8 S13 42.1 | 56 19.3 N19 15.1 | 173 04.0 S22 04.1 | 109 07.3 S 4 32.1
2 | 118 57.1 | 255 29.5 S13 42.3 | 71 21.9 N19 15.2 | 188 05.9 S22 04.0 | 124 09.7 S 4 32.1
3 | 133 59.5 | 270 30.2 S13 42.6 | 86 24.4 N19 15.2 | 203 07.8 S22 03.9 | 139 12.1 S 4 32.0
4 | 149 02.0 | 285 30.9 S13 42.9 | 101 27.0 N19 15.3 | 218 09.6 S22 03.9 | 154 14.4 S 4 32.0
M 5 | 164 04.4 | 300 31.6 S13 43.2 | 116 29.5 N19 15.3 | 233 11.5 S22 03.8 | 169 16.8 S 4 31.9
O
N 6 | 179 06.9 | 315 32.3 S13 43.5 | 131 32.1 N19 15.4 | 248 13.4 S22 03.7 | 184 19.2 S 4 31.9
D 7 | 194 09.4 | 330 33.0 S13 43.8 | 146 34.6 N19 15.4 | 263 15.2 S22 03.6 | 199 21.5 S 4 31.9
A 8 | 209 11.8 | 345 33.7 S13 44.1 | 161 37.2 N19 15.5 | 278 17.1 S22 03.6 | 214 23.9 S 4 31.8
Y 9 | 224 14.3 | 0 34.4 S13 44.4 | 176 39.7 N19 15.5 | 293 19.0 S22 03.5 | 229 26.3 S 4 31.8
10 | 239 16.8 | 15 35.1 S13 44.7 | 191 42.3 N19 15.6 | 308 20.8 S22 03.4 | 244 28.7 S 4 31.7
11 | 254 19.2 | 30 35.8 S13 45.0 | 206 44.8 N19 15.6 | 323 22.7 S22 03.3 | 259 31.0 S 4 31.7
12 | 269 21.7 | 45 36.5 S13 45.3 | 221 47.4 N19 15.7 | 338 24.6 S22 03.3 | 274 33.4 S 4 31.6
13 | 284 24.2 | 60 37.2 S13 45.6 | 236 49.9 N19 15.7 | 353 26.4 S22 03.2 | 289 35.8 S 4 31.6
14 | 299 26.6 | 75 37.9 S13 45.9 | 251 52.4 N19 15.8 | 8 28.3 S22 03.1 | 304 38.1 S 4 31.5
15 | 314 29.1 | 90 38.6 S13 46.2 | 266 55.0 N19 15.8 | 23 30.2 S22 03.0 | 319 40.5 S 4 31.5
16 | 329 31.6 | 105 39.2 S13 46.5 | 281 57.5 N19 15.8 | 38 32.0 S22 03.0 | 334 42.9 S 4 31.4
17 | 344 34.0 | 120 39.9 S13 46.8 | 297 00.1 N19 15.9 | 53 33.9 S22 02.9 | 349 45.2 S 4 31.4
18 | 359 36.5 | 135 40.6 S13 47.1 | 312 02.6 N19 15.9 | 68 35.8 S22 02.8 | 4 47.6 S 4 31.3
19 | 14 38.9 | 150 41.3 S13 47.4 | 327 05.1 N19 16.0 | 83 37.6 S22 02.7 | 19 50.0 S 4 31.3
20 | 29 41.4 | 165 42.0 S13 47.7 | 342 07.6 N19 16.1 | 98 39.5 S22 02.7 | 34 52.4 S 4 31.2
21 | 44 43.9 | 180 42.7 S13 48.0 | 357 10.2 N19 16.1 | 113 41.4 S22 02.6 | 49 54.7 S 4 31.2
22 | 59 46.3 | 195 43.3 S13 48.3 | 12 12.7 N19 16.2 | 128 43.2 S22 02.5 | 64 57.1 S 4 31.1
23 | 74 48.8 | 210 44.0 S13 48.6 | 27 15.2 N19 16.2 | 143 45.1 S22 02.4 | 79 59.5 S 4 31.1
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| v 0.7 d 0.3 | v 2.6 d 0.0 | v 1.9 d 0.1 | v 2.4 d 0.0
2731 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 14.6 S23 17.2 | 212 54.3 9.5 S23 05.5 9.6 56.8 | Acamar 308 26.3 S37 24.3
1 | 196 14.3 S23 17.3 | 227 22.6 9.3 S23 15.0 9.4 56.9 | Achernar 328 42.8 S53 32.8
2 | 211 14.0 S23 17.4 | 241 50.9 9.2 S23 24.3 9.3 56.9 | Acrux 163 02.3 S67 07.9
3 | 226 13.7 S23 17.4 | 256 19.0 9.1 S23 33.5 9.2 56.9 | Adhara 248 05.6 S29 59.5
4 | 241 13.4 S23 17.5 | 270 47.0 9.0 S23 42.6 9.1 57.0 | Albireo 59 53.7 N29 31.2
S 5 | 256 13.1 S23 17.6 | 285 14.8 8.9 S23 51.6 9.0 57.0 |
A | | | Aldebaran 280 27.6 N17 56.2
T 6 | 271 12.8 S23 17.6 | 299 42.6 8.8 S24 00.4 8.9 57.0 | Alioth 158 25.8 N52 00.2
U 7 | 286 12.5 S23 17.7 | 314 10.2 8.6 S24 09.2 8.7 57.0 | Alkaid 145 52.2 N45 40.9
R 8 | 301 12.2 S23 17.8 | 328 37.7 8.5 S24 17.8 8.6 57.1 | Al Na-ir 16 26.2 S43 24.7
D 9 | 316 11.9 S23 17.9 | 343 05.1 8.4 S24 26.3 8.5 57.1 | Alnilam 266 36.4 S 0 46.4
A 10 | 331 11.6 S23 17.9 | 357 32.4 8.3 S24 34.6 8.4 57.1 |
Y 11 | 346 11.4 S23 18.0 | 11 59.6 8.2 S24 42.9 8.2 57.2 | Alphard 209 03.8 S11 50.6
| | | Alphecca 118 32.0 N24 17.0
12 | 1 11.1 S23 18.1 | 26 26.6 8.0 S24 51.0 8.1 57.2 | Alpheratz 348 22.5 N33 07.2
13 | 16 10.8 S23 18.1 | 40 53.6 7.9 S24 58.9 8.0 57.2 | Altair 53 20.4 N10 49.7
14 | 31 10.5 S23 18.2 | 55 20.4 7.8 S25 06.8 7.8 57.3 | Ankaa 344 22.0 S38 21.2
15 | 46 10.2 S23 18.3 | 69 47.1 7.7 S25 14.5 7.7 57.3 |
16 | 61 09.9 S23 18.3 | 84 13.7 7.6 S25 22.1 7.6 57.3 | Antares 101 22.6 S28 00.5
17 | 76 09.6 S23 18.4 | 98 40.2 7.5 S25 29.5 7.4 57.3 | Arcturus 137 41.5 N15 24.0
| | | Atria 88 21.1 S70 17.5
18 | 91 09.3 S23 18.4 | 113 06.5 7.4 S25 36.8 7.3 57.4 | Avior 230 33.6 S61 52.0
19 | 106 09.0 S23 18.5 | 127 32.8 7.2 S25 44.0 7.2 57.4 | Bellatrix 268 50.9 N 6 58.2
20 | 121 08.7 S23 18.6 | 141 58.9 7.1 S25 51.0 7.0 57.4 |
21 | 136 08.4 S23 18.6 | 156 24.9 7.0 S25 57.8 6.9 57.5 | Betelgeuse 261 14.9 N 7 30.2
22 | 151 08.1 S23 18.7 | 170 50.8 6.9 S26 04.6 6.7 57.5 | Canopus 259 52.6 S53 06.6
23 | 166 07.8 S23 18.7 | 185 16.6 6.8 S26 11.1 6.6 57.5 | Capella 267 15.0 N46 41.2
------+-------------------+----------------------------------| Castor 234 38.9 N30 14.8
20 0 | 181 07.5 S23 18.8 | 199 42.4 6.7 S26 17.6 6.4 57.5 | Deneb 43 21.4 N47 54.5
1 | 196 07.2 S23 18.9 | 214 07.9 6.6 S26 23.8 6.3 57.6 |
2 | 211 06.9 S23 18.9 | 228 33.4 6.5 S26 30.0 6.1 57.6 | Denebola 173 22.1 N10 29.4
3 | 226 06.6 S23 19.0 | 242 58.8 6.4 S26 35.9 6.0 57.6 | Diphda 339 52.8 S13 59.5
4 | 241 06.3 S23 19.0 | 257 24.1 6.3 S26 41.7 5.8 57.7 | Dubhe 182 50.4 N57 47.6
S 5 | 256 06.0 S23 19.1 | 271 49.3 6.2 S26 47.4 5.7 57.7 | Elnath 266 48.4 N29 10.6
U | | | Eltanin 86 32.7 N51 25.1
N 6 | 271 05.7 S23 19.1 | 286 14.4 6.1 S26 52.9 5.5 57.7 |
D 7 | 286 05.4 S23 19.2 | 300 39.4 6.0 S26 58.2 5.3 57.8 | Enif 24 55.5 N13 14.5
A 8 | 301 05.1 S23 19.2 | 315 04.2 5.9 S27 03.4 5.2 57.8 | Fomalhaut 5 27.9 S25 44.9
Y 9 | 316 04.8 S23 19.3 | 329 29.0 5.8 S27 08.4 5.0 57.8 | Gacrux 161 56.7 S61 11.3
10 | 331 04.5 S23 19.3 | 343 53.7 5.7 S27 13.3 4.9 57.8 | Gienah 166 34.7 S21 35.3
11 | 346 04.2 S23 19.4 | 358 18.3 5.6 S27 18.0 4.7 57.9 | Hadar 135 59.4 S63 51.7
| | |
12 | 1 03.9 S23 19.4 | 12 42.9 5.5 S27 22.5 4.5 57.9 | Hamal 317 49.1 N26 53.5
13 | 16 03.6 S23 19.5 | 27 07.3 5.4 S27 26.9 4.4 57.9 | Kaus Austr. 71 47.3 S33 59.6
14 | 31 03.3 S23 19.5 | 41 31.6 5.3 S27 31.1 4.2 57.9 | Kochab 137 39.1 N71 09.9
15 | 46 03.0 S23 19.6 | 55 55.9 5.3 S27 35.1 4.0 58.0 | Markab 4 38.6 N19 08.4
16 | 61 02.7 S23 19.6 | 70 20.0 5.2 S27 38.9 3.8 58.0 | Menkar 304 48.2 N 6 55.4
17 | 76 02.4 S23 19.7 | 84 44.1 5.1 S27 42.6 3.7 58.0 |
| | | Menkent 137 28.9 S39 56.1
18 | 91 02.1 S23 19.7 | 99 08.2 5.0 S27 46.1 3.5 58.1 | Miaplacidus 219 40.0 S72 43.3
19 | 106 01.8 S23 19.7 | 113 32.1 4.9 S27 49.4 3.3 58.1 | Mirfak 295 44.9 N52 25.1
20 | 121 01.5 S23 19.8 | 127 56.0 4.9 S27 52.6 3.2 58.1 | Nunki 64 49.0 S25 20.9
21 | 136 01.2 S23 19.8 | 142 19.7 4.8 S27 55.6 3.0 58.1 | Peacock 39 10.4 S54 21.3
22 | 151 00.9 S23 19.9 | 156 43.5 4.7 S27 58.4 2.8 58.2 |
23 | 166 00.6 S23 19.9 | 171 07.1 4.7 S28 01.0 2.6 58.2 | Polaris 137 41.1 N92 32.3
------+-------------------+----------------------------------| Pollux 232 27.0 N26 13.3
21 0 | 181 00.3 S23 19.9 | 185 30.7 4.6 S28 03.4 2.4 58.2 | Procyon 235 33.4 N 3 19.1
1 | 195 60.0 S23 20.0 | 199 54.2 4.5 S28 05.7 2.3 58.2 | Rasalhague 87 43.7 N12 03.8
2 | 210 59.7 S23 20.0 | 214 17.7 4.5 S28 07.7 2.1 58.3 | Regulus 198 07.9 N 8 22.9
3 | 225 59.4 S23 20.0 | 228 41.1 4.4 S28 09.6 1.9 58.3 |
4 | 240 59.1 S23 20.1 | 243 04.4 4.3 S28 11.3 1.7 58.3 | Rigel 272 30.9 S 7 23.6
M 5 | 255 58.8 S23 20.1 | 257 27.7 4.3 S28 12.9 1.5 58.3 | Rigil Kent 127 33.0 S63 48.8
O | | | Sabik 91 52.1 S16 35.2
N 6 | 270 58.5 S23 20.1 | 271 51.0 4.2 S28 14.2 1.3 58.4 | Schedar 339 21.9 N60 32.1
D 7 | 285 58.2 S23 20.2 | 286 14.1 4.2 S28 15.3 1.1 58.4 | Shaula 84 08.1 S37 35.2
A 8 | 300 57.9 S23 20.2 | 300 37.3 4.1 S28 16.3 1.0 58.4 |
Y 9 | 315 57.6 S23 20.2 | 315 00.4 4.1 S28 17.1 0.8 58.4 | Sirius 250 36.0 S17 44.9
10 | 330 57.3 S23 20.3 | 329 23.5 4.1 S28 17.7 0.6 58.5 | Spica 149 00.3 S14 57.2
11 | 345 57.0 S23 20.3 | 343 46.5 4.0 S28 18.1 0.4 58.5 | Suhail 216 12.3 S46 23.6
| | | Vega 74 31.4 N39 29.3
12 | 0 56.7 S23 20.3 | 358 09.5 4.0 S28 18.3 0.2 58.5 | Zuben-ubi 127 24.2 S19 02.7
13 | 15 56.4 S23 20.4 | 12 32.4 4.0 S28 18.3 0.0 58.5 |
14 | 30 56.1 S23 20.4 | 26 55.3 3.9 S28 18.1 0.2 58.6 |
15 | 45 55.8 S23 20.4 | 41 18.2 3.9 S28 17.8 0.4 58.6 |
16 | 60 55.5 S23 20.4 | 55 41.1 3.9 S28 17.2 0.6 58.6 |
17 | 75 55.2 S23 20.5 | 70 04.0 3.8 S28 16.5 0.7 58.6 |
| | |
18 | 90 54.9 S23 20.5 | 84 26.8 3.8 S28 15.5 0.9 58.7 |
19 | 105 54.6 S23 20.5 | 98 49.6 3.8 S28 14.4 1.1 58.7 |
20 | 120 54.3 S23 20.5 | 113 12.4 3.8 S28 13.1 1.3 58.7 |
21 | 135 54.0 S23 20.5 | 127 35.2 3.8 S28 11.6 1.5 58.7 |
22 | 150 53.7 S23 20.6 | 141 58.0 3.8 S28 09.9 1.7 58.7 |
23 | 165 53.4 S23 20.6 | 156 20.7 3.8 S28 08.0 1.9 58.8 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 15.6 15.8 15.9 |
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