
2186 DEC. 19, 20, 21 (TUE, WED, THU)
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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 51.1 | 226 25.5 S13 20.6 | 265 14.6 N 1 13.1 | 146 03.9 S20 39.3 | 257 19.8 S 2 02.5
1 | 102 53.6 | 241 25.2 S13 21.4 | 280 16.0 N 1 12.7 | 161 05.8 S20 39.1 | 272 22.2 S 2 02.6
2 | 117 56.1 | 256 24.8 S13 22.3 | 295 17.4 N 1 12.2 | 176 07.7 S20 39.0 | 287 24.5 S 2 02.6
3 | 132 58.5 | 271 24.5 S13 23.1 | 310 18.8 N 1 11.8 | 191 09.5 S20 38.9 | 302 26.8 S 2 02.7
4 | 148 01.0 | 286 24.1 S13 24.0 | 325 20.2 N 1 11.4 | 206 11.4 S20 38.8 | 317 29.2 S 2 02.7
T 5 | 163 03.5 | 301 23.7 S13 24.8 | 340 21.6 N 1 11.0 | 221 13.3 S20 38.7 | 332 31.5 S 2 02.8
U
E 6 | 178 05.9 | 316 23.4 S13 25.7 | 355 23.0 N 1 10.5 | 236 15.2 S20 38.6 | 347 33.8 S 2 02.8
S 7 | 193 08.4 | 331 23.0 S13 26.5 | 10 24.4 N 1 10.1 | 251 17.1 S20 38.5 | 2 36.2 S 2 02.8
D 8 | 208 10.9 | 346 22.6 S13 27.4 | 25 25.8 N 1 09.7 | 266 19.0 S20 38.4 | 17 38.5 S 2 02.9
A 9 | 223 13.3 | 1 22.3 S13 28.2 | 40 27.2 N 1 09.3 | 281 20.9 S20 38.3 | 32 40.8 S 2 02.9
Y 10 | 238 15.8 | 16 21.9 S13 29.0 | 55 28.6 N 1 08.8 | 296 22.8 S20 38.1 | 47 43.2 S 2 03.0
11 | 253 18.2 | 31 21.5 S13 29.9 | 70 30.0 N 1 08.4 | 311 24.7 S20 38.0 | 62 45.5 S 2 03.0
12 | 268 20.7 | 46 21.2 S13 30.7 | 85 31.4 N 1 08.0 | 326 26.6 S20 37.9 | 77 47.8 S 2 03.1
13 | 283 23.2 | 61 20.8 S13 31.6 | 100 32.8 N 1 07.6 | 341 28.5 S20 37.8 | 92 50.2 S 2 03.1
14 | 298 25.6 | 76 20.4 S13 32.4 | 115 34.2 N 1 07.1 | 356 30.4 S20 37.7 | 107 52.5 S 2 03.2
15 | 313 28.1 | 91 20.1 S13 33.3 | 130 35.6 N 1 06.7 | 11 32.3 S20 37.6 | 122 54.8 S 2 03.2
16 | 328 30.6 | 106 19.7 S13 34.1 | 145 37.0 N 1 06.3 | 26 34.2 S20 37.5 | 137 57.2 S 2 03.2
17 | 343 33.0 | 121 19.3 S13 35.0 | 160 38.4 N 1 05.9 | 41 36.1 S20 37.4 | 152 59.5 S 2 03.3
18 | 358 35.5 | 136 18.9 S13 35.8 | 175 39.8 N 1 05.5 | 56 38.0 S20 37.2 | 168 01.8 S 2 03.3
19 | 13 38.0 | 151 18.6 S13 36.7 | 190 41.2 N 1 05.0 | 71 39.9 S20 37.1 | 183 04.2 S 2 03.4
20 | 28 40.4 | 166 18.2 S13 37.5 | 205 42.6 N 1 04.6 | 86 41.8 S20 37.0 | 198 06.5 S 2 03.4
21 | 43 42.9 | 181 17.8 S13 38.3 | 220 44.0 N 1 04.2 | 101 43.7 S20 36.9 | 213 08.8 S 2 03.5
22 | 58 45.3 | 196 17.4 S13 39.2 | 235 45.4 N 1 03.8 | 116 45.6 S20 36.8 | 228 11.2 S 2 03.5
23 | 73 47.8 | 211 17.1 S13 40.0 | 250 46.8 N 1 03.3 | 131 47.5 S20 36.7 | 243 13.5 S 2 03.5
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20 0 | 88 50.3 | 226 16.7 S13 40.9 | 265 48.2 N 1 02.9 | 146 49.4 S20 36.6 | 258 15.8 S 2 03.6
1 | 103 52.7 | 241 16.3 S13 41.7 | 280 49.6 N 1 02.5 | 161 51.2 S20 36.5 | 273 18.2 S 2 03.6
2 | 118 55.2 | 256 15.9 S13 42.5 | 295 51.0 N 1 02.1 | 176 53.1 S20 36.3 | 288 20.5 S 2 03.7
3 | 133 57.7 | 271 15.6 S13 43.4 | 310 52.4 N 1 01.7 | 191 55.0 S20 36.2 | 303 22.8 S 2 03.7
4 | 149 00.1 | 286 15.2 S13 44.2 | 325 53.8 N 1 01.2 | 206 56.9 S20 36.1 | 318 25.2 S 2 03.8
W 5 | 164 02.6 | 301 14.8 S13 45.1 | 340 55.2 N 1 00.8 | 221 58.8 S20 36.0 | 333 27.5 S 2 03.8
E
D 6 | 179 05.1 | 316 14.4 S13 45.9 | 355 56.6 N 1 00.4 | 237 00.7 S20 35.9 | 348 29.8 S 2 03.8
N 7 | 194 07.5 | 331 14.1 S13 46.7 | 10 58.0 N 0 60.0 | 252 02.6 S20 35.8 | 3 32.2 S 2 03.9
E 8 | 209 10.0 | 346 13.7 S13 47.6 | 25 59.4 N 0 59.6 | 267 04.5 S20 35.7 | 18 34.5 S 2 03.9
S 9 | 224 12.5 | 1 13.3 S13 48.4 | 41 00.8 N 0 59.1 | 282 06.4 S20 35.6 | 33 36.9 S 2 04.0
D 10 | 239 14.9 | 16 12.9 S13 49.3 | 56 02.2 N 0 58.7 | 297 08.3 S20 35.4 | 48 39.2 S 2 04.0
A 11 | 254 17.4 | 31 12.5 S13 50.1 | 71 03.6 N 0 58.3 | 312 10.2 S20 35.3 | 63 41.5 S 2 04.1
Y
12 | 269 19.8 | 46 12.1 S13 50.9 | 86 05.0 N 0 57.9 | 327 12.1 S20 35.2 | 78 43.9 S 2 04.1
13 | 284 22.3 | 61 11.8 S13 51.8 | 101 06.4 N 0 57.5 | 342 14.0 S20 35.1 | 93 46.2 S 2 04.1
14 | 299 24.8 | 76 11.4 S13 52.6 | 116 07.9 N 0 57.0 | 357 15.9 S20 35.0 | 108 48.5 S 2 04.2
15 | 314 27.2 | 91 11.0 S13 53.4 | 131 09.3 N 0 56.6 | 12 17.8 S20 34.9 | 123 50.9 S 2 04.2
16 | 329 29.7 | 106 10.6 S13 54.3 | 146 10.7 N 0 56.2 | 27 19.7 S20 34.8 | 138 53.2 S 2 04.3
17 | 344 32.2 | 121 10.2 S13 55.1 | 161 12.1 N 0 55.8 | 42 21.5 S20 34.6 | 153 55.5 S 2 04.3
18 | 359 34.6 | 136 09.8 S13 55.9 | 176 13.5 N 0 55.4 | 57 23.4 S20 34.5 | 168 57.9 S 2 04.3
19 | 14 37.1 | 151 09.5 S13 56.8 | 191 14.9 N 0 54.9 | 72 25.3 S20 34.4 | 184 00.2 S 2 04.4
20 | 29 39.6 | 166 09.1 S13 57.6 | 206 16.3 N 0 54.5 | 87 27.2 S20 34.3 | 199 02.6 S 2 04.4
21 | 44 42.0 | 181 08.7 S13 58.4 | 221 17.7 N 0 54.1 | 102 29.1 S20 34.2 | 214 04.9 S 2 04.5
22 | 59 44.5 | 196 08.3 S13 59.3 | 236 19.1 N 0 53.7 | 117 31.0 S20 34.1 | 229 07.2 S 2 04.5
23 | 74 47.0 | 211 07.9 S14 00.1 | 251 20.5 N 0 53.3 | 132 32.9 S20 34.0 | 244 09.6 S 2 04.6
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21 0 | 89 49.4 | 226 07.5 S14 00.9 | 266 21.9 N 0 52.8 | 147 34.8 S20 33.9 | 259 11.9 S 2 04.6
1 | 104 51.9 | 241 07.1 S14 01.8 | 281 23.4 N 0 52.4 | 162 36.7 S20 33.7 | 274 14.3 S 2 04.6
2 | 119 54.3 | 256 06.7 S14 02.6 | 296 24.8 N 0 52.0 | 177 38.6 S20 33.6 | 289 16.6 S 2 04.7
3 | 134 56.8 | 271 06.3 S14 03.4 | 311 26.2 N 0 51.6 | 192 40.5 S20 33.5 | 304 18.9 S 2 04.7
4 | 149 59.3 | 286 06.0 S14 04.3 | 326 27.6 N 0 51.2 | 207 42.4 S20 33.4 | 319 21.3 S 2 04.8
T 5 | 165 01.7 | 301 05.6 S14 05.1 | 341 29.0 N 0 50.8 | 222 44.3 S20 33.3 | 334 23.6 S 2 04.8
H
U 6 | 180 04.2 | 316 05.2 S14 05.9 | 356 30.4 N 0 50.3 | 237 46.1 S20 33.2 | 349 25.9 S 2 04.8
R 7 | 195 06.7 | 331 04.8 S14 06.8 | 11 31.8 N 0 49.9 | 252 48.0 S20 33.1 | 4 28.3 S 2 04.9
S 8 | 210 09.1 | 346 04.4 S14 07.6 | 26 33.2 N 0 49.5 | 267 49.9 S20 32.9 | 19 30.6 S 2 04.9
D 9 | 225 11.6 | 1 04.0 S14 08.4 | 41 34.7 N 0 49.1 | 282 51.8 S20 32.8 | 34 33.0 S 2 05.0
A 10 | 240 14.1 | 16 03.6 S14 09.2 | 56 36.1 N 0 48.7 | 297 53.7 S20 32.7 | 49 35.3 S 2 05.0
Y 11 | 255 16.5 | 31 03.2 S14 10.1 | 71 37.5 N 0 48.3 | 312 55.6 S20 32.6 | 64 37.6 S 2 05.0
12 | 270 19.0 | 46 02.8 S14 10.9 | 86 38.9 N 0 47.8 | 327 57.5 S20 32.5 | 79 40.0 S 2 05.1
13 | 285 21.4 | 61 02.4 S14 11.7 | 101 40.3 N 0 47.4 | 342 59.4 S20 32.4 | 94 42.3 S 2 05.1
14 | 300 23.9 | 76 02.0 S14 12.6 | 116 41.7 N 0 47.0 | 358 01.3 S20 32.3 | 109 44.7 S 2 05.2
15 | 315 26.4 | 91 01.6 S14 13.4 | 131 43.1 N 0 46.6 | 13 03.2 S20 32.1 | 124 47.0 S 2 05.2
16 | 330 28.8 | 106 01.2 S14 14.2 | 146 44.6 N 0 46.2 | 28 05.1 S20 32.0 | 139 49.3 S 2 05.3
17 | 345 31.3 | 121 00.8 S14 15.0 | 161 46.0 N 0 45.8 | 43 06.9 S20 31.9 | 154 51.7 S 2 05.3
18 | 0 33.8 | 136 00.4 S14 15.9 | 176 47.4 N 0 45.4 | 58 08.8 S20 31.8 | 169 54.0 S 2 05.3
19 | 15 36.2 | 151 00.0 S14 16.7 | 191 48.8 N 0 44.9 | 73 10.7 S20 31.7 | 184 56.4 S 2 05.4
20 | 30 38.7 | 165 59.6 S14 17.5 | 206 50.2 N 0 44.5 | 88 12.6 S20 31.6 | 199 58.7 S 2 05.4
21 | 45 41.2 | 180 59.2 S14 18.3 | 221 51.6 N 0 44.1 | 103 14.5 S20 31.5 | 215 01.1 S 2 05.5
22 | 60 43.6 | 195 58.8 S14 19.2 | 236 53.1 N 0 43.7 | 118 16.4 S20 31.3 | 230 03.4 S 2 05.5
23 | 75 46.1 | 210 58.4 S14 20.0 | 251 54.5 N 0 43.3 | 133 18.3 S20 31.2 | 245 05.7 S 2 05.5
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| v -0.4 d 0.8 | v 1.4 d 0.4 | v 1.9 d 0.1 | v 2.3 d 0.0
2186 DEC. 19, 20, 21 (TUE, WED, THU)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 180 51.2 S23 23.1 | 89 37.4 15.0 S 6 05.2 11.1 55.0 | Acamar 313 39.4 S39 34.0
1 | 195 50.9 S23 23.2 | 104 11.4 15.0 S 5 54.0 11.2 55.0 | Achernar 333 49.9 S56 17.8
2 | 210 50.6 S23 23.2 | 118 45.4 15.0 S 5 42.8 11.2 55.1 | Acrux 170 43.6 S64 07.5
3 | 225 50.3 S23 23.3 | 133 19.4 15.0 S 5 31.6 11.2 55.1 | Adhara 253 29.9 S29 14.0
4 | 240 50.0 S23 23.3 | 147 53.4 15.0 S 5 20.3 11.3 55.1 | Albireo 65 26.4 N28 21.6
T 5 | 255 49.7 S23 23.4 | 162 27.3 15.0 S 5 09.0 11.3 55.1 |
U | | | Aldebaran 288 19.8 N16 52.4
E 6 | 270 49.4 S23 23.4 | 177 01.3 15.0 S 4 57.7 11.3 55.2 | Alioth 164 27.0 N54 56.8
S 7 | 285 49.1 S23 23.5 | 191 35.3 15.0 S 4 46.3 11.4 55.2 | Alkaid 151 16.9 N48 23.0
D 8 | 300 48.8 S23 23.5 | 206 09.2 14.9 S 4 34.9 11.4 55.2 | Al Na-ir 25 01.1 S46 03.3
A 9 | 315 48.5 S23 23.6 | 220 43.1 14.9 S 4 23.5 11.4 55.2 | Alnilam 273 34.1 S 1 05.6
Y 10 | 330 48.2 S23 23.6 | 235 17.0 14.9 S 4 12.0 11.5 55.3 |
11 | 345 47.9 S23 23.7 | 249 50.9 14.9 S 4 00.6 11.5 55.3 | Alphard 215 48.2 S 9 28.4
| | | Alphecca 124 21.2 N26 05.6
12 | 0 47.5 S23 23.7 | 264 24.8 14.9 S 3 49.1 11.5 55.3 | Alpheratz 355 28.8 N30 07.4
13 | 15 47.2 S23 23.8 | 278 58.7 14.9 S 3 37.5 11.5 55.3 | Altair 60 01.8 N 9 22.3
14 | 30 46.9 S23 23.8 | 293 32.6 14.9 S 3 26.0 11.6 55.4 | Ankaa 351 07.6 S41 18.0
15 | 45 46.6 S23 23.8 | 308 06.4 14.8 S 3 14.4 11.6 55.4 |
16 | 60 46.3 S23 23.9 | 322 40.2 14.8 S 3 02.8 11.6 55.4 | Antares 109 47.1 S26 50.0
17 | 75 46.0 S23 23.9 | 337 14.0 14.8 S 2 51.1 11.6 55.5 | Arcturus 143 57.4 N18 12.9
| | | Atria 102 52.7 S69 20.9
18 | 90 45.7 S23 24.0 | 351 47.8 14.8 S 2 39.5 11.7 55.5 | Avior 233 24.2 S60 06.7
19 | 105 45.4 S23 24.0 | 6 21.6 14.8 S 2 27.8 11.7 55.5 | Bellatrix 276 12.2 N 6 30.4
20 | 120 45.1 S23 24.0 | 20 55.3 14.7 S 2 16.1 11.7 55.5 |
21 | 135 44.8 S23 24.1 | 35 29.0 14.7 S 2 04.4 11.7 55.6 | Betelgeuse 268 40.3 N 7 25.8
22 | 150 44.5 S23 24.1 | 50 02.7 14.7 S 1 52.6 11.7 55.6 | Canopus 262 57.7 S52 48.2
23 | 165 44.2 S23 24.1 | 64 36.4 14.7 S 1 40.8 11.8 55.6 | Capella 277 21.9 N46 10.4
------+-------------------+----------------------------------| Castor 243 22.1 N31 28.0
20 0 | 180 43.9 S23 24.2 | 79 10.0 14.6 S 1 29.1 11.8 55.7 | Deneb 48 03.1 N45 57.3
1 | 195 43.6 S23 24.2 | 93 43.6 14.6 S 1 17.2 11.8 55.7 |
2 | 210 43.2 S23 24.2 | 108 17.2 14.6 S 1 05.4 11.8 55.7 | Denebola 180 21.3 N13 31.7
3 | 225 42.9 S23 24.3 | 122 50.8 14.6 S 0 53.6 11.8 55.8 | Diphda 346 45.5 S16 58.0
4 | 240 42.6 S23 24.3 | 137 24.3 14.5 S 0 41.7 11.9 55.8 | Dubhe 191 12.8 N60 44.1
W 5 | 255 42.3 S23 24.3 | 151 57.8 14.5 S 0 29.8 11.9 55.8 | Elnath 275 27.9 N28 45.1
E | | | Eltanin 89 46.2 N51 28.3
D 6 | 270 42.0 S23 24.4 | 166 31.3 14.5 S 0 17.9 11.9 55.8 |
N 7 | 285 41.7 S23 24.4 | 181 04.7 14.4 S 0 06.0 11.9 55.9 | Enif 31 39.7 N10 44.2
E 8 | 300 41.4 S23 24.4 | 195 38.1 14.4 N 0 05.9 11.9 55.9 | Fomalhaut 13 00.9 S28 38.0
S 9 | 315 41.1 S23 24.4 | 210 11.5 14.4 N 0 17.8 11.9 55.9 | Gacrux 169 35.8 S58 09.1
D 10 | 330 40.8 S23 24.5 | 224 44.8 14.3 N 0 29.8 12.0 56.0 | Gienah 173 38.5 S18 34.5
A 11 | 345 40.5 S23 24.5 | 239 18.1 14.3 N 0 41.8 12.0 56.0 | Hadar 145 43.4 S61 15.6
Y | | |
12 | 0 40.2 S23 24.5 | 253 51.4 14.3 N 0 53.7 12.0 56.0 | Hamal 325 33.7 N24 20.4
13 | 15 39.9 S23 24.5 | 268 24.6 14.2 N 1 05.7 12.0 56.1 | Kaus Austr. 80 52.0 S34 17.0
14 | 30 39.6 S23 24.6 | 282 57.8 14.2 N 1 17.7 12.0 56.1 | Kochab 137 26.2 N73 23.4
15 | 45 39.2 S23 24.6 | 297 30.9 14.1 N 1 29.7 12.0 56.1 | Markab 11 28.9 N16 12.7
16 | 60 38.9 S23 24.6 | 312 04.0 14.1 N 1 41.7 12.0 56.2 | Menkar 311 58.8 N 4 48.8
17 | 75 38.6 S23 24.6 | 326 37.1 14.1 N 1 53.8 12.0 56.2 |
| | | Menkent 145 34.3 S37 16.7
18 | 90 38.3 S23 24.6 | 341 10.1 14.0 N 2 05.8 12.0 56.2 | Miaplacidus 221 10.9 S70 29.0
19 | 105 38.0 S23 24.7 | 355 43.0 14.0 N 2 17.8 12.0 56.3 | Mirfak 305 33.6 N50 30.9
20 | 120 37.7 S23 24.7 | 10 16.0 13.9 N 2 29.9 12.0 56.3 | Nunki 73 17.8 S26 03.2
21 | 135 37.4 S23 24.7 | 24 48.8 13.9 N 2 41.9 12.0 56.3 | Peacock 49 55.5 S56 07.7
22 | 150 37.1 S23 24.7 | 39 21.7 13.8 N 2 53.9 12.0 56.4 |
23 | 165 36.8 S23 24.7 | 53 54.4 13.8 N 3 06.0 12.0 56.4 | Polaris 275 06.1 N90 05.3
------+-------------------+----------------------------------| Pollux 240 48.7 N27 33.8
21 0 | 180 36.5 S23 24.7 | 68 27.2 13.7 N 3 18.0 12.1 56.4 | Procyon 242 43.5 N 4 44.2
1 | 195 36.2 S23 24.7 | 82 59.8 13.7 N 3 30.1 12.1 56.5 | Rasalhague 94 06.2 N12 26.1
2 | 210 35.9 S23 24.8 | 97 32.5 13.6 N 3 42.2 12.1 56.5 | Regulus 205 25.2 N11 03.0
3 | 225 35.6 S23 24.8 | 112 05.0 13.6 N 3 54.2 12.1 56.6 |
4 | 240 35.2 S23 24.8 | 126 37.5 13.5 N 4 06.3 12.1 56.6 | Rigel 279 06.8 S 7 59.8
T 5 | 255 34.9 S23 24.8 | 141 10.0 13.5 N 4 18.3 12.0 56.6 | Rigil Kent 136 54.6 S61 35.6
H | | | Sabik 99 43.8 S15 56.6
U 6 | 270 34.6 S23 24.8 | 155 42.4 13.4 N 4 30.3 12.0 56.7 | Schedar 347 11.8 N57 33.7
R 7 | 285 34.3 S23 24.8 | 170 14.8 13.3 N 4 42.4 12.0 56.7 | Shaula 93 25.9 S37 13.5
S 8 | 300 34.0 S23 24.8 | 184 47.0 13.3 N 4 54.4 12.0 56.7 |
D 9 | 315 33.7 S23 24.8 | 199 19.3 13.2 N 5 06.4 12.0 56.8 | Sirius 256 38.9 S16 58.9
A 10 | 330 33.4 S23 24.8 | 213 51.4 13.2 N 5 18.5 12.0 56.8 | Spica 156 14.3 S12 07.8
Y 11 | 345 33.1 S23 24.8 | 228 23.6 13.1 N 5 30.5 12.0 56.8 | Suhail 221 16.3 S44 11.3
| | | Vega 79 11.3 N38 57.9
12 | 0 32.8 S23 24.8 | 242 55.6 13.0 N 5 42.5 12.0 56.9 | Zuben-ubi 134 46.5 S16 48.5
13 | 15 32.5 S23 24.8 | 257 27.6 13.0 N 5 54.5 12.0 56.9 |
14 | 30 32.2 S23 24.8 | 271 59.5 12.9 N 6 06.5 12.0 57.0 |
15 | 45 31.9 S23 24.8 | 286 31.4 12.9 N 6 18.4 12.0 57.0 |
16 | 60 31.5 S23 24.9 | 301 03.1 12.8 N 6 30.4 12.0 57.0 |
17 | 75 31.2 S23 24.9 | 315 34.9 12.7 N 6 42.3 11.9 57.1 |
| | |
18 | 90 30.9 S23 24.9 | 330 06.5 12.7 N 6 54.3 11.9 57.1 |
19 | 105 30.6 S23 24.8 | 344 38.1 12.6 N 7 06.2 11.9 57.1 |
20 | 120 30.3 S23 24.8 | 359 09.6 12.5 N 7 18.1 11.9 57.2 |
21 | 135 30.0 S23 24.8 | 13 41.1 12.4 N 7 29.9 11.9 57.2 |
22 | 150 29.7 S23 24.8 | 28 12.4 12.4 N 7 41.8 11.9 57.3 |
23 | 165 29.4 S23 24.8 | 42 43.7 12.3 N 7 53.6 11.8 57.3 |
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|S.D. 16.3 d 0.0 | S.D. 15.1 15.3 15.5 |
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