
3138 DEC. 19, 20, 21 (MON, TUE, WED)
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| ARIES | VENUS | MARS | JUPITER | SATURN
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G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 20.8 | 156 42.3 S23 15.3 | 223 52.6 S15 41.0 | 37 53.9 N16 51.6 | 143 38.5 S19 45.2
1 | 102 23.3 | 171 41.4 S23 14.9 | 238 53.5 S15 41.5 | 52 56.6 N16 51.6 | 158 40.7 S19 45.1
2 | 117 25.8 | 186 40.5 S23 14.6 | 253 54.4 S15 41.9 | 67 59.3 N16 51.6 | 173 42.9 S19 45.0
3 | 132 28.2 | 201 39.6 S23 14.2 | 268 55.3 S15 42.4 | 83 02.0 N16 51.5 | 188 45.1 S19 45.0
4 | 147 30.7 | 216 38.7 S23 13.9 | 283 56.1 S15 42.9 | 98 04.7 N16 51.5 | 203 47.3 S19 44.9
M 5 | 162 33.2 | 231 37.8 S23 13.5 | 298 57.0 S15 43.4 | 113 07.4 N16 51.4 | 218 49.5 S19 44.9
O
N 6 | 177 35.6 | 246 36.9 S23 13.1 | 313 57.9 S15 43.8 | 128 10.1 N16 51.4 | 233 51.7 S19 44.8
D 7 | 192 38.1 | 261 36.0 S23 12.8 | 328 58.8 S15 44.3 | 143 12.8 N16 51.3 | 248 53.8 S19 44.8
A 8 | 207 40.6 | 276 35.1 S23 12.4 | 343 59.7 S15 44.8 | 158 15.4 N16 51.3 | 263 56.0 S19 44.7
Y 9 | 222 43.0 | 291 34.2 S23 12.0 | 359 00.6 S15 45.2 | 173 18.1 N16 51.2 | 278 58.2 S19 44.7
10 | 237 45.5 | 306 33.3 S23 11.6 | 14 01.5 S15 45.7 | 188 20.8 N16 51.2 | 294 00.4 S19 44.6
11 | 252 48.0 | 321 32.4 S23 11.3 | 29 02.4 S15 46.2 | 203 23.5 N16 51.1 | 309 02.6 S19 44.6
12 | 267 50.4 | 336 31.5 S23 10.9 | 44 03.3 S15 46.6 | 218 26.2 N16 51.1 | 324 04.8 S19 44.5
13 | 282 52.9 | 351 30.6 S23 10.5 | 59 04.1 S15 47.1 | 233 28.9 N16 51.0 | 339 07.0 S19 44.5
14 | 297 55.3 | 6 29.7 S23 10.2 | 74 05.0 S15 47.6 | 248 31.6 N16 51.0 | 354 09.2 S19 44.4
15 | 312 57.8 | 21 28.8 S23 09.8 | 89 05.9 S15 48.0 | 263 34.2 N16 51.0 | 9 11.4 S19 44.3
16 | 328 00.3 | 36 27.9 S23 09.4 | 104 06.8 S15 48.5 | 278 36.9 N16 50.9 | 24 13.6 S19 44.3
17 | 343 02.7 | 51 27.0 S23 09.0 | 119 07.7 S15 49.0 | 293 39.6 N16 50.9 | 39 15.8 S19 44.2
18 | 358 05.2 | 66 26.1 S23 08.6 | 134 08.6 S15 49.4 | 308 42.3 N16 50.8 | 54 18.0 S19 44.2
19 | 13 07.7 | 81 25.2 S23 08.3 | 149 09.5 S15 49.9 | 323 45.0 N16 50.8 | 69 20.2 S19 44.1
20 | 28 10.1 | 96 24.3 S23 07.9 | 164 10.4 S15 50.4 | 338 47.7 N16 50.7 | 84 22.4 S19 44.1
21 | 43 12.6 | 111 23.4 S23 07.5 | 179 11.2 S15 50.8 | 353 50.4 N16 50.7 | 99 24.5 S19 44.0
22 | 58 15.1 | 126 22.6 S23 07.1 | 194 12.1 S15 51.3 | 8 53.0 N16 50.6 | 114 26.7 S19 44.0
23 | 73 17.5 | 141 21.7 S23 06.7 | 209 13.0 S15 51.8 | 23 55.7 N16 50.6 | 129 28.9 S19 43.9
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 20.0 | 156 20.8 S23 06.3 | 224 13.9 S15 52.2 | 38 58.4 N16 50.5 | 144 31.1 S19 43.8
1 | 103 22.5 | 171 19.9 S23 05.9 | 239 14.8 S15 52.7 | 54 01.1 N16 50.5 | 159 33.3 S19 43.8
2 | 118 24.9 | 186 19.0 S23 05.5 | 254 15.7 S15 53.2 | 69 03.8 N16 50.5 | 174 35.5 S19 43.7
3 | 133 27.4 | 201 18.1 S23 05.2 | 269 16.6 S15 53.6 | 84 06.5 N16 50.4 | 189 37.7 S19 43.7
4 | 148 29.8 | 216 17.2 S23 04.8 | 284 17.4 S15 54.1 | 99 09.1 N16 50.4 | 204 39.9 S19 43.6
T 5 | 163 32.3 | 231 16.3 S23 04.4 | 299 18.3 S15 54.6 | 114 11.8 N16 50.3 | 219 42.1 S19 43.6
U
E 6 | 178 34.8 | 246 15.4 S23 04.0 | 314 19.2 S15 55.0 | 129 14.5 N16 50.3 | 234 44.3 S19 43.5
S 7 | 193 37.2 | 261 14.5 S23 03.6 | 329 20.1 S15 55.5 | 144 17.2 N16 50.2 | 249 46.5 S19 43.5
D 8 | 208 39.7 | 276 13.6 S23 03.2 | 344 21.0 S15 56.0 | 159 19.9 N16 50.2 | 264 48.7 S19 43.4
A 9 | 223 42.2 | 291 12.7 S23 02.8 | 359 21.9 S15 56.4 | 174 22.5 N16 50.1 | 279 50.8 S19 43.4
Y 10 | 238 44.6 | 306 11.8 S23 02.4 | 14 22.8 S15 56.9 | 189 25.2 N16 50.1 | 294 53.0 S19 43.3
11 | 253 47.1 | 321 10.9 S23 02.0 | 29 23.6 S15 57.4 | 204 27.9 N16 50.0 | 309 55.2 S19 43.2
12 | 268 49.6 | 336 10.1 S23 01.6 | 44 24.5 S15 57.8 | 219 30.6 N16 50.0 | 324 57.4 S19 43.2
13 | 283 52.0 | 351 09.2 S23 01.2 | 59 25.4 S15 58.3 | 234 33.3 N16 50.0 | 339 59.6 S19 43.1
14 | 298 54.5 | 6 08.3 S23 00.8 | 74 26.3 S15 58.8 | 249 35.9 N16 49.9 | 355 01.8 S19 43.1
15 | 313 56.9 | 21 07.4 S23 00.4 | 89 27.2 S15 59.2 | 264 38.6 N16 49.9 | 10 04.0 S19 43.0
16 | 328 59.4 | 36 06.5 S22 59.9 | 104 28.1 S15 59.7 | 279 41.3 N16 49.8 | 25 06.2 S19 43.0
17 | 344 01.9 | 51 05.6 S22 59.5 | 119 29.0 S16 00.1 | 294 44.0 N16 49.8 | 40 08.4 S19 42.9
18 | 359 04.3 | 66 04.7 S22 59.1 | 134 29.8 S16 00.6 | 309 46.7 N16 49.7 | 55 10.6 S19 42.9
19 | 14 06.8 | 81 03.8 S22 58.7 | 149 30.7 S16 01.1 | 324 49.3 N16 49.7 | 70 12.8 S19 42.8
20 | 29 09.3 | 96 02.9 S22 58.3 | 164 31.6 S16 01.5 | 339 52.0 N16 49.7 | 85 14.9 S19 42.7
21 | 44 11.7 | 111 02.1 S22 57.9 | 179 32.5 S16 02.0 | 354 54.7 N16 49.6 | 100 17.1 S19 42.7
22 | 59 14.2 | 126 01.2 S22 57.5 | 194 33.4 S16 02.5 | 9 57.4 N16 49.6 | 115 19.3 S19 42.6
23 | 74 16.7 | 141 00.3 S22 57.1 | 209 34.3 S16 02.9 | 25 00.0 N16 49.5 | 130 21.5 S19 42.6
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 19.1 | 155 59.4 S22 56.6 | 224 35.1 S16 03.4 | 40 02.7 N16 49.5 | 145 23.7 S19 42.5
1 | 104 21.6 | 170 58.5 S22 56.2 | 239 36.0 S16 03.8 | 55 05.4 N16 49.4 | 160 25.9 S19 42.5
2 | 119 24.1 | 185 57.6 S22 55.8 | 254 36.9 S16 04.3 | 70 08.1 N16 49.4 | 175 28.1 S19 42.4
3 | 134 26.5 | 200 56.7 S22 55.4 | 269 37.8 S16 04.8 | 85 10.7 N16 49.4 | 190 30.3 S19 42.4
4 | 149 29.0 | 215 55.9 S22 55.0 | 284 38.7 S16 05.2 | 100 13.4 N16 49.3 | 205 32.5 S19 42.3
W 5 | 164 31.4 | 230 55.0 S22 54.5 | 299 39.6 S16 05.7 | 115 16.1 N16 49.3 | 220 34.7 S19 42.2
E
D 6 | 179 33.9 | 245 54.1 S22 54.1 | 314 40.4 S16 06.1 | 130 18.8 N16 49.2 | 235 36.9 S19 42.2
N 7 | 194 36.4 | 260 53.2 S22 53.7 | 329 41.3 S16 06.6 | 145 21.4 N16 49.2 | 250 39.0 S19 42.1
E 8 | 209 38.8 | 275 52.3 S22 53.3 | 344 42.2 S16 07.1 | 160 24.1 N16 49.1 | 265 41.2 S19 42.1
S 9 | 224 41.3 | 290 51.4 S22 52.8 | 359 43.1 S16 07.5 | 175 26.8 N16 49.1 | 280 43.4 S19 42.0
D 10 | 239 43.8 | 305 50.6 S22 52.4 | 14 44.0 S16 08.0 | 190 29.5 N16 49.1 | 295 45.6 S19 42.0
A 11 | 254 46.2 | 320 49.7 S22 52.0 | 29 44.9 S16 08.4 | 205 32.1 N16 49.0 | 310 47.8 S19 41.9
Y
12 | 269 48.7 | 335 48.8 S22 51.5 | 44 45.7 S16 08.9 | 220 34.8 N16 49.0 | 325 50.0 S19 41.9
13 | 284 51.2 | 350 47.9 S22 51.1 | 59 46.6 S16 09.4 | 235 37.5 N16 48.9 | 340 52.2 S19 41.8
14 | 299 53.6 | 5 47.0 S22 50.7 | 74 47.5 S16 09.8 | 250 40.1 N16 48.9 | 355 54.4 S19 41.7
15 | 314 56.1 | 20 46.1 S22 50.2 | 89 48.4 S16 10.3 | 265 42.8 N16 48.8 | 10 56.6 S19 41.7
16 | 329 58.6 | 35 45.3 S22 49.8 | 104 49.3 S16 10.7 | 280 45.5 N16 48.8 | 25 58.7 S19 41.6
17 | 345 01.0 | 50 44.4 S22 49.4 | 119 50.1 S16 11.2 | 295 48.2 N16 48.8 | 41 00.9 S19 41.6
18 | 0 03.5 | 65 43.5 S22 48.9 | 134 51.0 S16 11.7 | 310 50.8 N16 48.7 | 56 03.1 S19 41.5
19 | 15 05.9 | 80 42.6 S22 48.5 | 149 51.9 S16 12.1 | 325 53.5 N16 48.7 | 71 05.3 S19 41.5
20 | 30 08.4 | 95 41.7 S22 48.1 | 164 52.8 S16 12.6 | 340 56.2 N16 48.6 | 86 07.5 S19 41.4
21 | 45 10.9 | 110 40.9 S22 47.6 | 179 53.7 S16 13.0 | 355 58.8 N16 48.6 | 101 09.7 S19 41.4
22 | 60 13.3 | 125 40.0 S22 47.2 | 194 54.6 S16 13.5 | 11 01.5 N16 48.5 | 116 11.9 S19 41.3
23 | 75 15.8 | 140 39.1 S22 46.7 | 209 55.4 S16 13.9 | 26 04.2 N16 48.5 | 131 14.1 S19 41.2
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| v -0.9 d 0.4 | v 0.9 d 0.5 | v 2.7 d 0.0 | v 2.2 d 0.1
3138 DEC. 19, 20, 21 (MON, TUE, WED)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 21.7 S23 14.5 | 244 46.7 15.8 S 6 10.0 13.3 55.1 | Acamar 304 30.7 S35 48.1
1 | 196 21.4 S23 14.6 | 259 21.4 15.8 S 6 23.3 13.3 55.1 | Achernar 324 52.0 S51 30.3
2 | 211 21.1 S23 14.7 | 273 56.2 15.7 S 6 36.5 13.2 55.1 | Acrux 157 16.1 S69 21.9
3 | 226 20.8 S23 14.7 | 288 30.8 15.7 S 6 49.8 13.2 55.1 | Adhara 244 01.5 S30 33.5
4 | 241 20.5 S23 14.8 | 303 05.5 15.6 S 7 03.0 13.2 55.1 | Albireo 55 43.5 N30 23.0
M 5 | 256 20.2 S23 14.9 | 317 40.0 15.6 S 7 16.2 13.2 55.2 |
O | | | Aldebaran 274 33.6 N18 43.4
N 6 | 271 19.9 S23 14.9 | 332 14.6 15.5 S 7 29.3 13.2 55.2 | Alioth 153 54.7 N49 49.1
D 7 | 286 19.6 S23 15.0 | 346 49.0 15.5 S 7 42.5 13.2 55.2 | Alkaid 141 48.1 N43 40.5
A 8 | 301 19.3 S23 15.1 | 1 23.4 15.4 S 7 55.7 13.1 55.2 | Al Na-ir 10 00.8 S41 26.8
Y 9 | 316 19.1 S23 15.1 | 15 57.8 15.4 S 8 08.8 13.1 55.3 | Alnilam 261 23.0 S 0 32.3
10 | 331 18.8 S23 15.2 | 30 32.1 15.3 S 8 21.9 13.1 55.3 |
11 | 346 18.5 S23 15.2 | 45 06.3 15.2 S 8 35.0 13.1 55.3 | Alphard 204 00.3 S13 36.4
| | | Alphecca 114 09.5 N22 56.4
12 | 1 18.2 S23 15.3 | 59 40.5 15.2 S 8 48.0 13.1 55.3 | Alpheratz 343 02.5 N35 20.8
13 | 16 17.9 S23 15.4 | 74 14.6 15.1 S 9 01.1 13.0 55.4 | Altair 48 19.1 N11 54.8
14 | 31 17.6 S23 15.4 | 88 48.7 15.1 S 9 14.1 13.0 55.4 | Ankaa 339 17.8 S36 10.0
15 | 46 17.3 S23 15.5 | 103 22.7 15.0 S 9 27.1 13.0 55.4 |
16 | 61 17.0 S23 15.5 | 117 56.6 14.9 S 9 40.0 13.0 55.4 | Antares 95 04.7 S28 52.7
17 | 76 16.7 S23 15.6 | 132 30.5 14.9 S 9 53.0 12.9 55.5 | Arcturus 132 59.3 N13 18.5
| | | Atria 77 30.3 S70 59.4
18 | 91 16.4 S23 15.7 | 147 04.3 14.8 S10 05.9 12.9 55.5 | Avior 228 23.6 S63 10.4
19 | 106 16.2 S23 15.7 | 161 38.0 14.7 S10 18.8 12.9 55.5 | Bellatrix 263 19.9 N 7 18.7
20 | 121 15.9 S23 15.8 | 176 11.7 14.7 S10 31.6 12.9 55.5 |
21 | 136 15.6 S23 15.8 | 190 45.3 14.6 S10 44.5 12.8 55.6 | Betelgeuse 255 41.0 N 7 33.2
22 | 151 15.3 S23 15.9 | 205 18.8 14.5 S10 57.3 12.8 55.6 | Canopus 257 31.9 S53 20.5
23 | 166 15.0 S23 15.9 | 219 52.3 14.5 S11 10.0 12.8 55.6 | Capella 259 41.0 N47 03.8
------+-------------------+----------------------------------| Castor 228 07.1 N29 20.2
20 0 | 181 14.7 S23 16.0 | 234 25.7 14.4 S11 22.7 12.7 55.6 | Deneb 39 48.8 N49 21.8
1 | 196 14.4 S23 16.0 | 248 59.0 14.3 S11 35.4 12.7 55.7 |
2 | 211 14.1 S23 16.1 | 263 32.2 14.2 S11 48.1 12.7 55.7 | Denebola 168 07.6 N 8 14.0
3 | 226 13.8 S23 16.1 | 278 05.4 14.2 S12 00.7 12.6 55.7 | Diphda 334 43.1 S11 46.8
4 | 241 13.5 S23 16.2 | 292 38.4 14.1 S12 13.3 12.6 55.7 | Dubhe 176 34.5 N55 36.5
T 5 | 256 13.2 S23 16.2 | 307 11.4 14.0 S12 25.8 12.5 55.8 | Elnath 260 19.3 N29 29.3
U | | | Eltanin 84 06.0 N51 22.9
E 6 | 271 13.0 S23 16.3 | 321 44.4 13.9 S12 38.3 12.5 55.8 |
S 7 | 286 12.7 S23 16.3 | 336 17.2 13.8 S12 50.8 12.5 55.8 | Enif 19 52.2 N15 06.2
D 8 | 301 12.4 S23 16.4 | 350 50.0 13.8 S13 03.2 12.4 55.9 | Fomalhaut 359 48.3 S23 36.2
A 9 | 316 12.1 S23 16.4 | 5 22.6 13.7 S13 15.6 12.4 55.9 | Gacrux 156 12.1 S63 26.6
Y 10 | 331 11.8 S23 16.4 | 19 55.2 13.6 S13 27.9 12.3 55.9 | Gienah 161 16.7 S23 49.6
11 | 346 11.5 S23 16.5 | 34 27.8 13.5 S13 40.2 12.3 55.9 | Hadar 128 42.1 S65 47.6
| | |
12 | 1 11.2 S23 16.5 | 49 00.2 13.4 S13 52.4 12.2 56.0 | Hamal 312 00.7 N28 47.2
13 | 16 10.9 S23 16.6 | 63 32.5 13.3 S14 04.6 12.2 56.0 | Kaus Austr. 64 59.6 S33 46.5
14 | 31 10.6 S23 16.6 | 78 04.8 13.3 S14 16.8 12.1 56.0 | Kochab 137 46.2 N69 30.9
15 | 46 10.3 S23 16.6 | 92 36.9 13.2 S14 28.9 12.1 56.1 | Markab 359 30.7 N21 19.0
16 | 61 10.0 S23 16.7 | 107 09.0 13.1 S14 40.9 12.0 56.1 | Menkar 299 25.2 N 8 29.4
17 | 76 09.7 S23 16.7 | 121 41.0 13.0 S14 52.9 12.0 56.1 |
| | | Menkent 131 25.1 S41 54.5
18 | 91 09.4 S23 16.8 | 136 12.9 12.9 S15 04.8 11.9 56.1 | Miaplacidus 218 28.9 S74 23.3
19 | 106 09.2 S23 16.8 | 150 44.7 12.8 S15 16.7 11.9 56.2 | Mirfak 288 24.3 N53 49.8
20 | 121 08.9 S23 16.8 | 165 16.4 12.7 S15 28.5 11.8 56.2 | Nunki 58 28.0 S24 49.2
21 | 136 08.6 S23 16.9 | 179 48.0 12.6 S15 40.3 11.8 56.2 | Peacock 31 08.3 S53 02.1
22 | 151 08.3 S23 16.9 | 194 19.6 12.5 S15 52.0 11.7 56.3 |
23 | 166 08.0 S23 16.9 | 208 51.0 12.4 S16 03.6 11.6 56.3 | Polaris 35 20.3 N94 21.3
------+-------------------+----------------------------------| Pollux 226 11.2 N25 13.4
21 0 | 181 07.7 S23 17.0 | 223 22.3 12.3 S16 15.2 11.6 56.3 | Procyon 230 10.8 N 2 15.7
1 | 196 07.4 S23 17.0 | 237 53.6 12.2 S16 26.7 11.5 56.3 | Rasalhague 82 56.5 N11 47.4
2 | 211 07.1 S23 17.0 | 252 24.7 12.1 S16 38.2 11.5 56.4 | Regulus 192 39.9 N 6 23.9
3 | 226 06.8 S23 17.1 | 266 55.7 12.0 S16 49.6 11.4 56.4 |
4 | 241 06.5 S23 17.1 | 281 26.7 11.9 S17 00.9 11.3 56.4 | Rigel 267 33.7 S 6 57.0
W 5 | 256 06.2 S23 17.1 | 295 57.5 11.8 S17 12.2 11.3 56.5 | Rigil Kent 120 32.7 S65 27.6
E | | | Sabik 85 58.6 S17 03.7
D 6 | 271 05.9 S23 17.1 | 310 28.3 11.7 S17 23.4 11.2 56.5 | Schedar 333 29.5 N62 44.7
N 7 | 286 05.6 S23 17.2 | 324 58.9 11.6 S17 34.5 11.1 56.5 | Shaula 77 10.6 S37 51.1
E 8 | 301 05.4 S23 17.2 | 339 29.4 11.5 S17 45.5 11.0 56.6 |
S 9 | 316 05.1 S23 17.2 | 353 59.9 11.4 S17 56.5 11.0 56.6 | Sirius 246 03.3 S18 19.4
D 10 | 331 04.8 S23 17.2 | 8 30.2 11.3 S18 07.4 10.9 56.6 | Spica 143 34.7 S17 03.0
A 11 | 346 04.5 S23 17.3 | 23 00.4 11.2 S18 18.2 10.8 56.7 | Suhail 212 23.2 S48 02.0
Y | | | Vega 71 00.3 N39 52.7
12 | 1 04.2 S23 17.3 | 37 30.5 11.1 S18 28.9 10.7 56.7 | Zuben-ubi 121 52.6 S20 42.3
13 | 16 03.9 S23 17.3 | 52 00.6 11.0 S18 39.6 10.7 56.7 |
14 | 31 03.6 S23 17.3 | 66 30.5 10.9 S18 50.2 10.6 56.7 |
15 | 46 03.3 S23 17.4 | 81 00.3 10.8 S19 00.7 10.5 56.8 |
16 | 61 03.0 S23 17.4 | 95 30.0 10.7 S19 11.1 10.4 56.8 |
17 | 76 02.7 S23 17.4 | 109 59.6 10.6 S19 21.4 10.3 56.8 |
| | |
18 | 91 02.4 S23 17.4 | 124 29.0 10.5 S19 31.6 10.2 56.9 |
19 | 106 02.1 S23 17.4 | 138 58.4 10.4 S19 41.8 10.2 56.9 |
20 | 121 01.8 S23 17.4 | 153 27.7 10.3 S19 51.8 10.1 56.9 |
21 | 136 01.5 S23 17.5 | 167 56.8 10.2 S20 01.8 10.0 57.0 |
22 | 151 01.2 S23 17.5 | 182 25.9 10.0 S20 11.7 9.9 57.0 |
23 | 166 01.0 S23 17.5 | 196 54.8 9.9 S20 21.5 9.8 57.0 |
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|S.D. 16.2 d 0.0 | S.D. 15.1 15.2 15.4 |
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