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2157 DEC. 18, 19, 20 (SUN, MON, TUE)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 86 53.8 | 209 29.7 S17 21.8 | 124 38.8 S16 09.3 | 280 51.7 N 7 08.2 | 252 02.1 S 3 49.3
1 | 101 56.3 | 224 32.2 S17 21.3 | 139 39.4 S16 08.7 | 295 54.1 N 7 08.2 | 267 04.4 S 3 49.3
2 | 116 58.7 | 239 34.7 S17 20.9 | 154 39.9 S16 08.1 | 310 56.5 N 7 08.1 | 282 06.7 S 3 49.4
3 | 132 01.2 | 254 37.2 S17 20.5 | 169 40.5 S16 07.4 | 325 58.8 N 7 08.1 | 297 09.0 S 3 49.5
4 | 147 03.7 | 269 39.7 S17 20.0 | 184 41.1 S16 06.8 | 341 01.2 N 7 08.1 | 312 11.3 S 3 49.5
S 5 | 162 06.1 | 284 42.2 S17 19.6 | 199 41.6 S16 06.2 | 356 03.6 N 7 08.1 | 327 13.6 S 3 49.6
U
N 6 | 177 08.6 | 299 44.6 S17 19.2 | 214 42.2 S16 05.5 | 11 06.0 N 7 08.0 | 342 15.9 S 3 49.6
D 7 | 192 11.1 | 314 47.1 S17 18.8 | 229 42.8 S16 04.9 | 26 08.3 N 7 08.0 | 357 18.2 S 3 49.7
A 8 | 207 13.5 | 329 49.6 S17 18.4 | 244 43.3 S16 04.2 | 41 10.7 N 7 08.0 | 12 20.6 S 3 49.7
Y 9 | 222 16.0 | 344 52.0 S17 17.9 | 259 43.9 S16 03.6 | 56 13.1 N 7 08.0 | 27 22.9 S 3 49.8
10 | 237 18.5 | 359 54.5 S17 17.5 | 274 44.5 S16 03.0 | 71 15.4 N 7 07.9 | 42 25.2 S 3 49.8
11 | 252 20.9 | 14 57.0 S17 17.1 | 289 45.0 S16 02.3 | 86 17.8 N 7 07.9 | 57 27.5 S 3 49.9
12 | 267 23.4 | 29 59.4 S17 16.7 | 304 45.6 S16 01.7 | 101 20.2 N 7 07.9 | 72 29.8 S 3 49.9
13 | 282 25.8 | 45 01.8 S17 16.3 | 319 46.2 S16 01.0 | 116 22.6 N 7 07.9 | 87 32.1 S 3 50.0
14 | 297 28.3 | 60 04.3 S17 15.9 | 334 46.7 S16 00.4 | 131 24.9 N 7 07.8 | 102 34.4 S 3 50.0
15 | 312 30.8 | 75 06.7 S17 15.5 | 349 47.3 S15 59.8 | 146 27.3 N 7 07.8 | 117 36.7 S 3 50.1
16 | 327 33.2 | 90 09.2 S17 15.1 | 4 47.9 S15 59.1 | 161 29.7 N 7 07.8 | 132 39.1 S 3 50.1
17 | 342 35.7 | 105 11.6 S17 14.7 | 19 48.5 S15 58.5 | 176 32.1 N 7 07.8 | 147 41.4 S 3 50.2
18 | 357 38.2 | 120 14.0 S17 14.3 | 34 49.0 S15 57.8 | 191 34.4 N 7 07.7 | 162 43.7 S 3 50.2
19 | 12 40.6 | 135 16.4 S17 13.9 | 49 49.6 S15 57.2 | 206 36.8 N 7 07.7 | 177 46.0 S 3 50.3
20 | 27 43.1 | 150 18.8 S17 13.5 | 64 50.2 S15 56.6 | 221 39.2 N 7 07.7 | 192 48.3 S 3 50.3
21 | 42 45.6 | 165 21.3 S17 13.1 | 79 50.7 S15 55.9 | 236 41.6 N 7 07.7 | 207 50.6 S 3 50.4
22 | 57 48.0 | 180 23.7 S17 12.7 | 94 51.3 S15 55.3 | 251 43.9 N 7 07.6 | 222 52.9 S 3 50.4
23 | 72 50.5 | 195 26.1 S17 12.3 | 109 51.9 S15 54.6 | 266 46.3 N 7 07.6 | 237 55.2 S 3 50.5
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 87 53.0 | 210 28.5 S17 11.9 | 124 52.5 S15 54.0 | 281 48.7 N 7 07.6 | 252 57.6 S 3 50.5
1 | 102 55.4 | 225 30.9 S17 11.5 | 139 53.0 S15 53.3 | 296 51.1 N 7 07.6 | 267 59.9 S 3 50.6
2 | 117 57.9 | 240 33.3 S17 11.1 | 154 53.6 S15 52.7 | 311 53.4 N 7 07.5 | 283 02.2 S 3 50.6
3 | 133 00.3 | 255 35.6 S17 10.7 | 169 54.2 S15 52.1 | 326 55.8 N 7 07.5 | 298 04.5 S 3 50.7
4 | 148 02.8 | 270 38.0 S17 10.3 | 184 54.7 S15 51.4 | 341 58.2 N 7 07.5 | 313 06.8 S 3 50.7
M 5 | 163 05.3 | 285 40.4 S17 10.0 | 199 55.3 S15 50.8 | 357 00.6 N 7 07.5 | 328 09.1 S 3 50.8
O
N 6 | 178 07.7 | 300 42.8 S17 09.6 | 214 55.9 S15 50.1 | 12 03.0 N 7 07.4 | 343 11.5 S 3 50.8
D 7 | 193 10.2 | 315 45.1 S17 09.2 | 229 56.5 S15 49.5 | 27 05.3 N 7 07.4 | 358 13.8 S 3 50.9
A 8 | 208 12.7 | 330 47.5 S17 08.8 | 244 57.0 S15 48.8 | 42 07.7 N 7 07.4 | 13 16.1 S 3 50.9
Y 9 | 223 15.1 | 345 49.9 S17 08.5 | 259 57.6 S15 48.2 | 57 10.1 N 7 07.4 | 28 18.4 S 3 51.0
10 | 238 17.6 | 0 52.2 S17 08.1 | 274 58.2 S15 47.5 | 72 12.5 N 7 07.3 | 43 20.7 S 3 51.0
11 | 253 20.1 | 15 54.6 S17 07.7 | 289 58.7 S15 46.9 | 87 14.8 N 7 07.3 | 58 23.0 S 3 51.1
12 | 268 22.5 | 30 56.9 S17 07.3 | 304 59.3 S15 46.3 | 102 17.2 N 7 07.3 | 73 25.3 S 3 51.1
13 | 283 25.0 | 45 59.3 S17 07.0 | 319 59.9 S15 45.6 | 117 19.6 N 7 07.3 | 88 27.7 S 3 51.2
14 | 298 27.5 | 61 01.6 S17 06.6 | 335 00.5 S15 45.0 | 132 22.0 N 7 07.3 | 103 30.0 S 3 51.2
15 | 313 29.9 | 76 04.0 S17 06.2 | 350 01.0 S15 44.3 | 147 24.4 N 7 07.2 | 118 32.3 S 3 51.3
16 | 328 32.4 | 91 06.3 S17 05.9 | 5 01.6 S15 43.7 | 162 26.8 N 7 07.2 | 133 34.6 S 3 51.3
17 | 343 34.8 | 106 08.6 S17 05.5 | 20 02.2 S15 43.0 | 177 29.1 N 7 07.2 | 148 36.9 S 3 51.4
18 | 358 37.3 | 121 10.9 S17 05.2 | 35 02.8 S15 42.4 | 192 31.5 N 7 07.2 | 163 39.2 S 3 51.4
19 | 13 39.8 | 136 13.3 S17 04.8 | 50 03.3 S15 41.7 | 207 33.9 N 7 07.1 | 178 41.6 S 3 51.5
20 | 28 42.2 | 151 15.6 S17 04.4 | 65 03.9 S15 41.1 | 222 36.3 N 7 07.1 | 193 43.9 S 3 51.5
21 | 43 44.7 | 166 17.9 S17 04.1 | 80 04.5 S15 40.4 | 237 38.7 N 7 07.1 | 208 46.2 S 3 51.6
22 | 58 47.2 | 181 20.2 S17 03.7 | 95 05.1 S15 39.8 | 252 41.0 N 7 07.1 | 223 48.5 S 3 51.6
23 | 73 49.6 | 196 22.5 S17 03.4 | 110 05.6 S15 39.1 | 267 43.4 N 7 07.1 | 238 50.8 S 3 51.7
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 52.1 | 211 24.8 S17 03.0 | 125 06.2 S15 38.5 | 282 45.8 N 7 07.0 | 253 53.1 S 3 51.7
1 | 103 54.6 | 226 27.1 S17 02.7 | 140 06.8 S15 37.8 | 297 48.2 N 7 07.0 | 268 55.5 S 3 51.8
2 | 118 57.0 | 241 29.4 S17 02.4 | 155 07.4 S15 37.2 | 312 50.6 N 7 07.0 | 283 57.8 S 3 51.8
3 | 133 59.5 | 256 31.7 S17 02.0 | 170 07.9 S15 36.5 | 327 53.0 N 7 07.0 | 299 00.1 S 3 51.9
4 | 149 01.9 | 271 34.0 S17 01.7 | 185 08.5 S15 35.9 | 342 55.4 N 7 07.0 | 314 02.4 S 3 51.9
T 5 | 164 04.4 | 286 36.2 S17 01.3 | 200 09.1 S15 35.2 | 357 57.7 N 7 06.9 | 329 04.7 S 3 52.0
U
E 6 | 179 06.9 | 301 38.5 S17 01.0 | 215 09.7 S15 34.6 | 13 00.1 N 7 06.9 | 344 07.0 S 3 52.0
S 7 | 194 09.3 | 316 40.8 S17 00.7 | 230 10.2 S15 33.9 | 28 02.5 N 7 06.9 | 359 09.4 S 3 52.1
D 8 | 209 11.8 | 331 43.0 S17 00.3 | 245 10.8 S15 33.3 | 43 04.9 N 7 06.9 | 14 11.7 S 3 52.1
A 9 | 224 14.3 | 346 45.3 S16 60.0 | 260 11.4 S15 32.6 | 58 07.3 N 7 06.9 | 29 14.0 S 3 52.2
Y 10 | 239 16.7 | 1 47.6 S16 59.7 | 275 12.0 S15 32.0 | 73 09.7 N 7 06.8 | 44 16.3 S 3 52.2
11 | 254 19.2 | 16 49.8 S16 59.3 | 290 12.6 S15 31.3 | 88 12.1 N 7 06.8 | 59 18.6 S 3 52.3
12 | 269 21.7 | 31 52.1 S16 59.0 | 305 13.1 S15 30.7 | 103 14.4 N 7 06.8 | 74 21.0 S 3 52.3
13 | 284 24.1 | 46 54.3 S16 58.7 | 320 13.7 S15 30.0 | 118 16.8 N 7 06.8 | 89 23.3 S 3 52.4
14 | 299 26.6 | 61 56.6 S16 58.4 | 335 14.3 S15 29.4 | 133 19.2 N 7 06.8 | 104 25.6 S 3 52.4
15 | 314 29.1 | 76 58.8 S16 58.0 | 350 14.9 S15 28.7 | 148 21.6 N 7 06.7 | 119 27.9 S 3 52.5
16 | 329 31.5 | 92 01.0 S16 57.7 | 5 15.4 S15 28.1 | 163 24.0 N 7 06.7 | 134 30.2 S 3 52.5
17 | 344 34.0 | 107 03.3 S16 57.4 | 20 16.0 S15 27.4 | 178 26.4 N 7 06.7 | 149 32.6 S 3 52.6
18 | 359 36.4 | 122 05.5 S16 57.1 | 35 16.6 S15 26.7 | 193 28.8 N 7 06.7 | 164 34.9 S 3 52.6
19 | 14 38.9 | 137 07.7 S16 56.8 | 50 17.2 S15 26.1 | 208 31.2 N 7 06.7 | 179 37.2 S 3 52.7
20 | 29 41.4 | 152 09.9 S16 56.4 | 65 17.8 S15 25.4 | 223 33.6 N 7 06.6 | 194 39.5 S 3 52.7
21 | 44 43.8 | 167 12.1 S16 56.1 | 80 18.3 S15 24.8 | 238 35.9 N 7 06.6 | 209 41.8 S 3 52.8
22 | 59 46.3 | 182 14.4 S16 55.8 | 95 18.9 S15 24.1 | 253 38.3 N 7 06.6 | 224 44.2 S 3 52.8
23 | 74 48.8 | 197 16.6 S16 55.5 | 110 19.5 S15 23.5 | 268 40.7 N 7 06.6 | 239 46.5 S 3 52.9
------+----------+-------------------+-------------------+-------------------+--------------------
| v 2.3 d 0.4 | v 0.6 d 0.6 | v 2.4 d 0.0 | v 2.3 d 0.1
2157 DEC. 18, 19, 20 (SUN, MON, TUE)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 180 57.4 S23 22.1 | 335 07.7 6.4 N23 33.8 8.0 58.7 | Acamar 313 55.5 S39 40.7
1 | 195 57.1 S23 22.1 | 349 33.2 6.5 N23 25.6 8.1 58.6 | Achernar 334 05.5 S56 26.4
2 | 210 56.8 S23 22.2 | 3 58.8 6.6 N23 17.4 8.3 58.6 | Acrux 171 07.8 S63 58.1
3 | 225 56.5 S23 22.3 | 18 24.6 6.8 N23 09.0 8.4 58.6 | Adhara 253 46.8 S29 11.5
4 | 240 56.2 S23 22.3 | 32 50.5 6.9 N23 00.4 8.5 58.5 | Albireo 65 43.7 N28 17.9
S 5 | 255 55.9 S23 22.4 | 47 16.5 7.0 N22 51.8 8.7 58.5 |
U | | | Aldebaran 288 44.3 N16 49.2
N 6 | 270 55.6 S23 22.5 | 61 42.6 7.1 N22 43.0 8.8 58.5 | Alioth 164 45.5 N55 05.9
D 7 | 285 55.3 S23 22.5 | 76 08.9 7.3 N22 34.1 8.9 58.4 | Alkaid 151 33.5 N48 31.4
A 8 | 300 55.0 S23 22.6 | 90 35.3 7.4 N22 25.1 9.0 58.4 | Al Na-ir 25 27.8 S46 11.7
Y 9 | 315 54.7 S23 22.7 | 105 01.8 7.5 N22 15.9 9.2 58.3 | Alnilam 273 55.8 S 1 06.5
10 | 330 54.4 S23 22.7 | 119 28.4 7.6 N22 06.6 9.3 58.3 |
11 | 345 54.1 S23 22.8 | 133 55.2 7.8 N21 57.2 9.4 58.3 | Alphard 216 09.2 S 9 20.9
| | | Alphecca 124 39.3 N26 11.1
12 | 0 53.8 S23 22.9 | 148 22.0 7.9 N21 47.7 9.5 58.2 | Alpheratz 355 51.0 N29 58.0
13 | 15 53.5 S23 22.9 | 162 49.0 8.0 N21 38.1 9.6 58.2 | Altair 60 22.7 N 9 17.5
14 | 30 53.1 S23 23.0 | 177 16.2 8.1 N21 28.3 9.7 58.2 | Ankaa 351 28.5 S41 27.2
15 | 45 52.8 S23 23.0 | 191 43.4 8.3 N21 18.5 9.9 58.1 |
16 | 60 52.5 S23 23.1 | 206 10.8 8.4 N21 08.5 10.0 58.1 | Antares 110 13.3 S26 46.4
17 | 75 52.2 S23 23.2 | 220 38.3 8.5 N20 58.5 10.1 58.1 | Arcturus 144 16.8 N18 21.7
| | | Atria 103 38.2 S69 18.1
18 | 90 51.9 S23 23.2 | 235 05.9 8.6 N20 48.3 10.2 58.0 | Avior 233 33.1 S60 01.0
19 | 105 51.6 S23 23.3 | 249 33.7 8.7 N20 38.0 10.3 58.0 | Bellatrix 276 35.2 N 6 29.1
20 | 120 51.3 S23 23.3 | 264 01.5 8.9 N20 27.6 10.4 58.0 |
21 | 135 51.0 S23 23.4 | 278 29.5 9.0 N20 17.2 10.5 57.9 | Betelgeuse 269 03.4 N 7 25.7
22 | 150 50.7 S23 23.4 | 292 57.6 9.1 N20 06.6 10.6 57.9 | Canopus 263 07.2 S52 47.0
23 | 165 50.4 S23 23.5 | 307 25.9 9.2 N19 55.9 10.7 57.8 | Capella 277 53.5 N46 08.9
------+-------------------+----------------------------------| Castor 243 49.3 N31 32.0
19 0 | 180 50.1 S23 23.5 | 321 54.3 9.4 N19 45.1 10.8 57.8 | Deneb 48 17.8 N45 51.1
1 | 195 49.8 S23 23.6 | 336 22.7 9.5 N19 34.3 10.9 57.8 |
2 | 210 49.5 S23 23.6 | 350 51.3 9.6 N19 23.3 11.0 57.7 | Denebola 180 43.0 N13 41.2
3 | 225 49.2 S23 23.7 | 5 20.1 9.7 N19 12.3 11.0 57.7 | Diphda 347 06.9 S17 07.3
4 | 240 48.9 S23 23.7 | 19 48.9 9.8 N19 01.2 11.1 57.7 | Dubhe 191 38.6 N60 53.4
M 5 | 255 48.6 S23 23.8 | 34 17.9 10.0 N18 49.9 11.2 57.6 | Elnath 275 55.0 N28 43.9
O | | | Eltanin 89 56.1 N51 28.3
N 6 | 270 48.3 S23 23.8 | 48 47.0 10.1 N18 38.6 11.3 57.6 |
D 7 | 285 48.0 S23 23.9 | 63 16.2 10.2 N18 27.3 11.4 57.6 | Enif 32 00.7 N10 36.3
A 8 | 300 47.6 S23 23.9 | 77 45.5 10.3 N18 15.8 11.5 57.5 | Fomalhaut 13 24.4 S28 47.1
Y 9 | 315 47.3 S23 24.0 | 92 15.0 10.4 N18 04.2 11.5 57.5 | Gacrux 169 59.9 S57 59.6
10 | 330 47.0 S23 24.0 | 106 44.5 10.6 N17 52.6 11.6 57.5 | Gienah 174 00.5 S18 25.0
11 | 345 46.7 S23 24.1 | 121 14.2 10.7 N17 40.9 11.7 57.4 | Hadar 146 14.0 S61 07.6
| | |
12 | 0 46.4 S23 24.1 | 135 44.0 10.8 N17 29.2 11.8 57.4 | Hamal 325 57.9 N24 12.5
13 | 15 46.1 S23 24.2 | 150 13.9 10.9 N17 17.3 11.8 57.3 | Kaus Austr. 81 20.3 S34 18.1
14 | 30 45.8 S23 24.2 | 164 43.9 11.0 N17 05.4 11.9 57.3 | Kochab 137 25.0 N73 30.2
15 | 45 45.5 S23 24.2 | 179 14.0 11.1 N16 53.4 12.0 57.3 | Markab 11 50.2 N16 03.5
16 | 60 45.2 S23 24.3 | 193 44.3 11.2 N16 41.3 12.1 57.2 | Menkar 312 21.1 N 4 42.3
17 | 75 44.9 S23 24.3 | 208 14.7 11.4 N16 29.2 12.1 57.2 |
| | | Menkent 145 59.7 S37 08.5
18 | 90 44.6 S23 24.4 | 222 45.1 11.5 N16 17.0 12.2 57.2 | Miaplacidus 221 15.9 S70 21.9
19 | 105 44.3 S23 24.4 | 237 15.7 11.6 N16 04.8 12.3 57.1 | Mirfak 306 04.3 N50 25.1
20 | 120 44.0 S23 24.4 | 251 46.4 11.7 N15 52.5 12.3 57.1 | Nunki 73 44.2 S26 05.5
21 | 135 43.7 S23 24.5 | 266 17.2 11.8 N15 40.1 12.4 57.1 | Peacock 50 28.9 S56 13.3
22 | 150 43.4 S23 24.5 | 280 48.1 11.9 N15 27.7 12.4 57.0 |
23 | 165 43.0 S23 24.5 | 295 19.1 12.0 N15 15.2 12.5 57.0 | Polaris 282 25.6 N89 57.7
------+-------------------+----------------------------------| Pollux 241 14.8 N27 38.1
20 0 | 180 42.7 S23 24.6 | 309 50.2 12.1 N15 02.6 12.5 56.9 | Procyon 243 05.9 N 4 48.8
1 | 195 42.4 S23 24.6 | 324 21.4 12.2 N14 50.0 12.6 56.9 | Rasalhague 94 26.0 N12 27.1
2 | 210 42.1 S23 24.6 | 338 52.7 12.3 N14 37.4 12.7 56.9 | Regulus 205 47.9 N11 11.4
3 | 225 41.8 S23 24.7 | 353 24.1 12.4 N14 24.6 12.7 56.8 |
4 | 240 41.5 S23 24.7 | 7 55.6 12.5 N14 11.9 12.8 56.8 | Rigel 279 27.3 S 8 01.5
T 5 | 255 41.2 S23 24.7 | 22 27.2 12.6 N13 59.1 12.8 56.8 | Rigil Kent 137 23.9 S61 28.7
U | | | Sabik 100 08.3 S15 54.8
E 6 | 270 40.9 S23 24.7 | 36 58.9 12.7 N13 46.2 12.9 56.7 | Schedar 347 36.4 N57 24.4
S 7 | 285 40.6 S23 24.8 | 51 30.7 12.8 N13 33.3 12.9 56.7 | Shaula 93 54.9 S37 12.5
D 8 | 300 40.3 S23 24.8 | 66 02.6 12.9 N13 20.4 12.9 56.7 |
A 9 | 315 40.0 S23 24.8 | 80 34.6 13.0 N13 07.4 13.0 56.6 | Sirius 256 57.7 S16 56.3
Y 10 | 330 39.7 S23 24.9 | 95 06.7 13.1 N12 54.3 13.0 56.6 | Spica 156 36.9 S11 59.0
11 | 345 39.4 S23 24.9 | 109 38.9 13.2 N12 41.3 13.1 56.6 | Suhail 221 32.2 S44 04.3
| | | Vega 79 25.8 N38 56.1
12 | 0 39.1 S23 24.9 | 124 11.2 13.3 N12 28.1 13.1 56.5 | Zuben-ubi 135 09.5 S16 41.5
13 | 15 38.7 S23 24.9 | 138 43.5 13.4 N12 15.0 13.2 56.5 |
14 | 30 38.4 S23 24.9 | 153 16.0 13.5 N12 01.8 13.2 56.5 |
15 | 45 38.1 S23 25.0 | 167 48.5 13.5 N11 48.6 13.2 56.4 |
16 | 60 37.8 S23 25.0 | 182 21.2 13.6 N11 35.3 13.3 56.4 |
17 | 75 37.5 S23 25.0 | 196 53.9 13.7 N11 22.0 13.3 56.4 |
| | |
18 | 90 37.2 S23 25.0 | 211 26.7 13.8 N11 08.7 13.3 56.3 |
19 | 105 36.9 S23 25.0 | 225 59.5 13.9 N10 55.3 13.4 56.3 |
20 | 120 36.6 S23 25.1 | 240 32.5 14.0 N10 41.9 13.4 56.3 |
21 | 135 36.3 S23 25.1 | 255 05.5 14.0 N10 28.5 13.4 56.2 |
22 | 150 36.0 S23 25.1 | 269 38.7 14.1 N10 15.0 13.5 56.2 |
23 | 165 35.7 S23 25.1 | 284 11.9 14.2 N10 01.5 13.5 56.2 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 15.9 15.6 15.4 |