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2820 DEC. 20, 21, 22 (SUN, MON, TUE)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 89 18.6 | 142 34.6 S21 06.3 | 242 02.4 S 9 44.4 | 312 03.5 N16 47.6 | 86 26.0 S 1 15.2
1 | 104 21.0 | 157 33.9 S21 05.6 | 257 03.4 S 9 44.9 | 327 06.1 N16 47.6 | 101 28.4 S 1 15.2
2 | 119 23.5 | 172 33.2 S21 04.9 | 272 04.5 S 9 45.4 | 342 08.8 N16 47.7 | 116 30.8 S 1 15.1
3 | 134 25.9 | 187 32.4 S21 04.2 | 287 05.6 S 9 45.9 | 357 11.4 N16 47.7 | 131 33.2 S 1 15.1
4 | 149 28.4 | 202 31.7 S21 03.5 | 302 06.7 S 9 46.4 | 12 14.0 N16 47.8 | 146 35.6 S 1 15.1
S 5 | 164 30.9 | 217 31.0 S21 02.8 | 317 07.7 S 9 46.9 | 27 16.6 N16 47.8 | 161 38.0 S 1 15.0
U
N 6 | 179 33.3 | 232 30.3 S21 02.1 | 332 08.8 S 9 47.5 | 42 19.2 N16 47.9 | 176 40.4 S 1 15.0
D 7 | 194 35.8 | 247 29.6 S21 01.4 | 347 09.9 S 9 48.0 | 57 21.8 N16 47.9 | 191 42.8 S 1 15.0
A 8 | 209 38.3 | 262 28.9 S21 00.7 | 2 11.0 S 9 48.5 | 72 24.5 N16 48.0 | 206 45.2 S 1 14.9
Y 9 | 224 40.7 | 277 28.2 S20 60.0 | 17 12.0 S 9 49.0 | 87 27.1 N16 48.0 | 221 47.6 S 1 14.9
10 | 239 43.2 | 292 27.5 S20 59.2 | 32 13.1 S 9 49.5 | 102 29.7 N16 48.1 | 236 50.0 S 1 14.8
11 | 254 45.7 | 307 26.7 S20 58.5 | 47 14.2 S 9 50.0 | 117 32.3 N16 48.1 | 251 52.4 S 1 14.8
12 | 269 48.1 | 322 26.0 S20 57.8 | 62 15.3 S 9 50.5 | 132 34.9 N16 48.2 | 266 54.8 S 1 14.8
13 | 284 50.6 | 337 25.3 S20 57.1 | 77 16.4 S 9 51.1 | 147 37.5 N16 48.2 | 281 57.2 S 1 14.7
14 | 299 53.1 | 352 24.6 S20 56.4 | 92 17.4 S 9 51.6 | 162 40.2 N16 48.3 | 296 59.6 S 1 14.7
15 | 314 55.5 | 7 23.9 S20 55.7 | 107 18.5 S 9 52.1 | 177 42.8 N16 48.3 | 312 02.0 S 1 14.7
16 | 329 58.0 | 22 23.2 S20 54.9 | 122 19.6 S 9 52.6 | 192 45.4 N16 48.4 | 327 04.4 S 1 14.6
17 | 345 00.4 | 37 22.5 S20 54.2 | 137 20.7 S 9 53.1 | 207 48.0 N16 48.5 | 342 06.8 S 1 14.6
18 | 0 02.9 | 52 21.8 S20 53.5 | 152 21.7 S 9 53.6 | 222 50.6 N16 48.5 | 357 09.2 S 1 14.6
19 | 15 05.4 | 67 21.1 S20 52.8 | 167 22.8 S 9 54.1 | 237 53.3 N16 48.6 | 12 11.6 S 1 14.5
20 | 30 07.8 | 82 20.4 S20 52.0 | 182 23.9 S 9 54.7 | 252 55.9 N16 48.6 | 27 14.0 S 1 14.5
21 | 45 10.3 | 97 19.7 S20 51.3 | 197 25.0 S 9 55.2 | 267 58.5 N16 48.7 | 42 16.4 S 1 14.5
22 | 60 12.8 | 112 19.0 S20 50.6 | 212 26.0 S 9 55.7 | 283 01.1 N16 48.7 | 57 18.8 S 1 14.4
23 | 75 15.2 | 127 18.3 S20 49.9 | 227 27.1 S 9 56.2 | 298 03.7 N16 48.8 | 72 21.2 S 1 14.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 17.7 | 142 17.6 S20 49.1 | 242 28.2 S 9 56.7 | 313 06.4 N16 48.8 | 87 23.6 S 1 14.3
1 | 105 20.2 | 157 16.9 S20 48.4 | 257 29.3 S 9 57.2 | 328 09.0 N16 48.9 | 102 26.0 S 1 14.3
2 | 120 22.6 | 172 16.2 S20 47.7 | 272 30.4 S 9 57.7 | 343 11.6 N16 48.9 | 117 28.5 S 1 14.3
3 | 135 25.1 | 187 15.5 S20 46.9 | 287 31.4 S 9 58.2 | 358 14.2 N16 49.0 | 132 30.9 S 1 14.2
4 | 150 27.5 | 202 14.8 S20 46.2 | 302 32.5 S 9 58.8 | 13 16.9 N16 49.0 | 147 33.3 S 1 14.2
M 5 | 165 30.0 | 217 14.1 S20 45.5 | 317 33.6 S 9 59.3 | 28 19.5 N16 49.1 | 162 35.7 S 1 14.2
O
N 6 | 180 32.5 | 232 13.4 S20 44.7 | 332 34.7 S 9 59.8 | 43 22.1 N16 49.2 | 177 38.1 S 1 14.1
D 7 | 195 34.9 | 247 12.7 S20 44.0 | 347 35.7 S10 00.3 | 58 24.7 N16 49.2 | 192 40.5 S 1 14.1
A 8 | 210 37.4 | 262 12.0 S20 43.3 | 2 36.8 S10 00.8 | 73 27.3 N16 49.3 | 207 42.9 S 1 14.1
Y 9 | 225 39.9 | 277 11.3 S20 42.5 | 17 37.9 S10 01.3 | 88 30.0 N16 49.3 | 222 45.3 S 1 14.0
10 | 240 42.3 | 292 10.6 S20 41.8 | 32 39.0 S10 01.8 | 103 32.6 N16 49.4 | 237 47.7 S 1 14.0
11 | 255 44.8 | 307 09.9 S20 41.0 | 47 40.0 S10 02.3 | 118 35.2 N16 49.4 | 252 50.1 S 1 13.9
12 | 270 47.3 | 322 09.2 S20 40.3 | 62 41.1 S10 02.8 | 133 37.8 N16 49.5 | 267 52.5 S 1 13.9
13 | 285 49.7 | 337 08.5 S20 39.6 | 77 42.2 S10 03.4 | 148 40.5 N16 49.5 | 282 54.9 S 1 13.9
14 | 300 52.2 | 352 07.8 S20 38.8 | 92 43.3 S10 03.9 | 163 43.1 N16 49.6 | 297 57.3 S 1 13.8
15 | 315 54.7 | 7 07.1 S20 38.1 | 107 44.4 S10 04.4 | 178 45.7 N16 49.6 | 312 59.7 S 1 13.8
16 | 330 57.1 | 22 06.4 S20 37.3 | 122 45.4 S10 04.9 | 193 48.4 N16 49.7 | 328 02.1 S 1 13.8
17 | 345 59.6 | 37 05.7 S20 36.6 | 137 46.5 S10 05.4 | 208 51.0 N16 49.8 | 343 04.5 S 1 13.7
18 | 1 02.0 | 52 05.0 S20 35.8 | 152 47.6 S10 05.9 | 223 53.6 N16 49.8 | 358 06.9 S 1 13.7
19 | 16 04.5 | 67 04.3 S20 35.1 | 167 48.7 S10 06.4 | 238 56.2 N16 49.9 | 13 09.3 S 1 13.6
20 | 31 07.0 | 82 03.6 S20 34.3 | 182 49.7 S10 06.9 | 253 58.9 N16 49.9 | 28 11.7 S 1 13.6
21 | 46 09.4 | 97 02.9 S20 33.6 | 197 50.8 S10 07.4 | 269 01.5 N16 50.0 | 43 14.0 S 1 13.6
22 | 61 11.9 | 112 02.2 S20 32.8 | 212 51.9 S10 07.9 | 284 04.1 N16 50.0 | 58 16.4 S 1 13.5
23 | 76 14.4 | 127 01.6 S20 32.1 | 227 53.0 S10 08.5 | 299 06.7 N16 50.1 | 73 18.8 S 1 13.5
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 91 16.8 | 142 00.9 S20 31.3 | 242 54.0 S10 09.0 | 314 09.4 N16 50.2 | 88 21.2 S 1 13.5
1 | 106 19.3 | 157 00.2 S20 30.6 | 257 55.1 S10 09.5 | 329 12.0 N16 50.2 | 103 23.6 S 1 13.4
2 | 121 21.8 | 171 59.5 S20 29.8 | 272 56.2 S10 10.0 | 344 14.6 N16 50.3 | 118 26.0 S 1 13.4
3 | 136 24.2 | 186 58.8 S20 29.1 | 287 57.3 S10 10.5 | 359 17.3 N16 50.3 | 133 28.4 S 1 13.3
4 | 151 26.7 | 201 58.1 S20 28.3 | 302 58.4 S10 11.0 | 14 19.9 N16 50.4 | 148 30.8 S 1 13.3
T 5 | 166 29.2 | 216 57.4 S20 27.6 | 317 59.4 S10 11.5 | 29 22.5 N16 50.4 | 163 33.2 S 1 13.3
U
E 6 | 181 31.6 | 231 56.7 S20 26.8 | 333 00.5 S10 12.0 | 44 25.2 N16 50.5 | 178 35.6 S 1 13.2
S 7 | 196 34.1 | 246 56.1 S20 26.0 | 348 01.6 S10 12.5 | 59 27.8 N16 50.5 | 193 38.0 S 1 13.2
D 8 | 211 36.5 | 261 55.4 S20 25.3 | 3 02.7 S10 13.0 | 74 30.4 N16 50.6 | 208 40.4 S 1 13.1
A 9 | 226 39.0 | 276 54.7 S20 24.5 | 18 03.7 S10 13.5 | 89 33.1 N16 50.7 | 223 42.8 S 1 13.1
Y 10 | 241 41.5 | 291 54.0 S20 23.8 | 33 04.8 S10 14.1 | 104 35.7 N16 50.7 | 238 45.2 S 1 13.1
11 | 256 43.9 | 306 53.3 S20 23.0 | 48 05.9 S10 14.6 | 119 38.3 N16 50.8 | 253 47.6 S 1 13.0
12 | 271 46.4 | 321 52.6 S20 22.2 | 63 07.0 S10 15.1 | 134 41.0 N16 50.8 | 268 50.0 S 1 13.0
13 | 286 48.9 | 336 52.0 S20 21.5 | 78 08.0 S10 15.6 | 149 43.6 N16 50.9 | 283 52.4 S 1 13.0
14 | 301 51.3 | 351 51.3 S20 20.7 | 93 09.1 S10 16.1 | 164 46.2 N16 50.9 | 298 54.8 S 1 12.9
15 | 316 53.8 | 6 50.6 S20 19.9 | 108 10.2 S10 16.6 | 179 48.9 N16 51.0 | 313 57.2 S 1 12.9
16 | 331 56.3 | 21 49.9 S20 19.2 | 123 11.3 S10 17.1 | 194 51.5 N16 51.1 | 328 59.6 S 1 12.8
17 | 346 58.7 | 36 49.2 S20 18.4 | 138 12.4 S10 17.6 | 209 54.1 N16 51.1 | 344 02.0 S 1 12.8
18 | 2 01.2 | 51 48.6 S20 17.6 | 153 13.4 S10 18.1 | 224 56.8 N16 51.2 | 359 04.4 S 1 12.8
19 | 17 03.6 | 66 47.9 S20 16.8 | 168 14.5 S10 18.6 | 239 59.4 N16 51.2 | 14 06.8 S 1 12.7
20 | 32 06.1 | 81 47.2 S20 16.1 | 183 15.6 S10 19.1 | 255 02.0 N16 51.3 | 29 09.2 S 1 12.7
21 | 47 08.6 | 96 46.5 S20 15.3 | 198 16.7 S10 19.6 | 270 04.7 N16 51.3 | 44 11.6 S 1 12.6
22 | 62 11.0 | 111 45.9 S20 14.5 | 213 17.7 S10 20.1 | 285 07.3 N16 51.4 | 59 14.0 S 1 12.6
23 | 77 13.5 | 126 45.2 S20 13.7 | 228 18.8 S10 20.6 | 300 09.9 N16 51.5 | 74 16.4 S 1 12.6
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.7 d 0.7 | v 1.1 d 0.5 | v 2.6 d 0.1 | v 2.4 d 0.0
2820 DEC. 20, 21, 22 (SUN, MON, TUE)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 59.7 S23 19.4 | 254 38.4 16.4 S 0 45.2 12.1 54.3 | Acamar 307 35.2 S37 03.4
1 | 195 59.4 S23 19.4 | 269 13.8 16.4 S 0 57.3 12.1 54.3 | Achernar 327 52.8 S53 06.1
2 | 210 59.1 S23 19.5 | 283 49.3 16.4 S 1 09.4 12.1 54.3 | Acrux 161 46.6 S67 37.2
3 | 225 58.8 S23 19.5 | 298 24.7 16.4 S 1 21.5 12.1 54.3 | Adhara 247 12.5 S30 07.1
4 | 240 58.6 S23 19.5 | 313 00.1 16.4 S 1 33.6 12.1 54.3 | Albireo 58 59.3 N29 42.6
S 5 | 255 58.3 S23 19.6 | 327 35.5 16.4 S 1 45.7 12.1 54.3 |
U | | | Aldebaran 279 10.5 N18 06.4
N 6 | 270 58.0 S23 19.6 | 342 10.9 16.4 S 1 57.8 12.1 54.3 | Alioth 157 27.0 N51 31.6
D 7 | 285 57.7 S23 19.6 | 356 46.2 16.4 S 2 09.9 12.1 54.3 | Alkaid 144 59.2 N45 14.6
A 8 | 300 57.4 S23 19.6 | 11 21.6 16.4 S 2 22.0 12.1 54.3 | Al Na-ir 15 02.4 S42 58.9
Y 9 | 315 57.1 S23 19.7 | 25 56.9 16.3 S 2 34.1 12.1 54.3 | Alnilam 265 28.2 S 0 43.5
10 | 330 56.8 S23 19.7 | 40 32.2 16.3 S 2 46.2 12.1 54.3 |
11 | 345 56.5 S23 19.7 | 55 07.5 16.3 S 2 58.3 12.1 54.3 | Alphard 207 57.8 S12 13.8
| | | Alphecca 117 34.9 N23 59.5
12 | 0 56.2 S23 19.7 | 69 42.8 16.3 S 3 10.3 12.1 54.3 | Alpheratz 347 12.7 N33 36.4
13 | 15 55.9 S23 19.7 | 84 18.1 16.3 S 3 22.4 12.1 54.3 | Altair 52 14.8 N11 04.0
14 | 30 55.6 S23 19.8 | 98 53.3 16.2 S 3 34.5 12.1 54.3 | Ankaa 343 16.0 S37 52.6
15 | 45 55.3 S23 19.8 | 113 28.5 16.2 S 3 46.5 12.0 54.4 |
16 | 60 55.0 S23 19.8 | 128 03.7 16.2 S 3 58.6 12.0 54.4 | Antares 100 00.3 S28 11.8
17 | 75 54.7 S23 19.8 | 142 38.9 16.2 S 4 10.6 12.0 54.4 | Arcturus 136 40.1 N14 56.6
| | | Atria 85 59.1 S70 26.5
18 | 90 54.4 S23 19.8 | 157 14.0 16.1 S 4 22.6 12.0 54.4 | Avior 230 05.3 S62 09.2
19 | 105 54.1 S23 19.8 | 171 49.2 16.1 S 4 34.6 12.0 54.4 | Bellatrix 267 38.8 N 7 02.6
20 | 120 53.8 S23 19.8 | 186 24.2 16.1 S 4 46.6 12.0 54.4 |
21 | 135 53.5 S23 19.9 | 200 59.3 16.1 S 4 58.6 12.0 54.4 | Betelgeuse 260 02.2 N 7 30.7
22 | 150 53.2 S23 19.9 | 215 34.3 16.0 S 5 10.5 12.0 54.4 | Canopus 259 22.0 S53 09.8
23 | 165 52.9 S23 19.9 | 230 09.3 16.0 S 5 22.5 12.0 54.4 | Capella 265 36.0 N46 46.0
------+-------------------+----------------------------------| Castor 233 13.5 N30 02.8
21 0 | 180 52.6 S23 19.9 | 244 44.3 16.0 S 5 34.4 11.9 54.4 | Deneb 42 35.1 N48 13.7
1 | 195 52.3 S23 19.9 | 259 19.2 15.9 S 5 46.4 11.9 54.5 |
2 | 210 52.0 S23 19.9 | 273 54.1 15.9 S 5 58.3 11.9 54.5 | Denebola 172 13.6 N 9 59.8
3 | 225 51.7 S23 19.9 | 288 29.0 15.9 S 6 10.2 11.9 54.5 | Diphda 338 45.4 S13 30.5
4 | 240 51.4 S23 19.9 | 303 03.8 15.8 S 6 22.0 11.9 54.5 | Dubhe 181 28.8 N57 19.0
M 5 | 255 51.1 S23 19.9 | 317 38.6 15.8 S 6 33.9 11.9 54.5 | Elnath 265 23.6 N29 14.5
O | | | Eltanin 86 00.9 N51 24.8
N 6 | 270 50.8 S23 19.9 | 332 13.4 15.8 S 6 45.7 11.8 54.5 |
D 7 | 285 50.5 S23 19.9 | 346 48.1 15.7 S 6 57.5 11.8 54.5 | Enif 23 49.5 N13 38.9
A 8 | 300 50.2 S23 20.0 | 1 22.8 15.7 S 7 09.3 11.8 54.6 | Fomalhaut 4 14.1 S25 16.8
Y 9 | 315 49.9 S23 20.0 | 15 57.4 15.6 S 7 21.1 11.8 54.6 | Gacrux 160 41.4 S61 40.8
10 | 330 49.6 S23 20.0 | 30 32.0 15.6 S 7 32.9 11.8 54.6 | Gienah 165 25.4 S22 04.6
11 | 345 49.3 S23 20.0 | 45 06.6 15.6 S 7 44.6 11.7 54.6 | Hadar 134 23.9 S64 16.9
| | |
12 | 0 49.0 S23 20.0 | 59 41.1 15.5 S 7 56.3 11.7 54.6 | Hamal 316 33.2 N27 18.3
13 | 15 48.7 S23 20.0 | 74 15.6 15.5 S 8 08.0 11.7 54.6 | Kaus Austr. 70 18.5 S33 56.7
14 | 30 48.4 S23 20.0 | 88 50.0 15.4 S 8 19.7 11.7 54.6 | Kochab 137 41.1 N70 48.4
15 | 45 48.1 S23 20.0 | 103 24.4 15.4 S 8 31.3 11.6 54.7 | Markab 3 31.6 N19 37.0
16 | 60 47.8 S23 20.0 | 117 58.7 15.3 S 8 42.9 11.6 54.7 | Menkar 303 37.9 N 7 15.8
17 | 75 47.5 S23 20.0 | 132 33.0 15.3 S 8 54.5 11.6 54.7 |
| | | Menkent 136 09.6 S40 21.9
18 | 90 47.2 S23 20.0 | 147 07.3 15.2 S 9 06.0 11.6 54.7 | Miaplacidus 219 24.4 S73 05.3
19 | 105 46.9 S23 19.9 | 161 41.5 15.2 S 9 17.6 11.5 54.7 | Mirfak 294 08.8 N52 43.5
20 | 120 46.6 S23 19.9 | 176 15.6 15.1 S 9 29.1 11.5 54.7 | Nunki 63 26.1 S25 13.8
21 | 135 46.3 S23 19.9 | 190 49.7 15.1 S 9 40.5 11.5 54.7 | Peacock 37 25.5 S54 03.9
22 | 150 46.0 S23 19.9 | 205 23.7 15.0 S 9 52.0 11.4 54.8 |
23 | 165 45.7 S23 19.9 | 219 57.7 15.0 S10 03.4 11.4 54.8 | Polaris 115 13.6 N92 56.0
------+-------------------+----------------------------------| Pollux 231 05.2 N26 00.1
22 0 | 180 45.4 S23 19.9 | 234 31.6 14.9 S10 14.7 11.4 54.8 | Procyon 234 23.2 N 3 05.1
1 | 195 45.1 S23 19.9 | 249 05.5 14.9 S10 26.1 11.3 54.8 | Rasalhague 86 41.2 N12 00.3
2 | 210 44.8 S23 19.9 | 263 39.3 14.8 S10 37.4 11.3 54.8 | Regulus 196 56.5 N 7 56.9
3 | 225 44.5 S23 19.9 | 278 13.1 14.8 S10 48.6 11.3 54.9 |
4 | 240 44.2 S23 19.9 | 292 46.8 14.7 S10 59.9 11.2 54.9 | Rigel 271 26.2 S 7 18.0
T 5 | 255 43.9 S23 19.9 | 307 20.4 14.6 S11 11.1 11.2 54.9 | Rigil Kent 126 01.3 S64 10.3
U | | | Sabik 90 35.1 S16 41.3
E 6 | 270 43.6 S23 19.8 | 321 54.0 14.6 S11 22.2 11.2 54.9 | Schedar 338 05.0 N61 01.1
S 7 | 285 43.3 S23 19.8 | 336 27.5 14.5 S11 33.3 11.1 54.9 | Shaula 82 37.1 S37 38.5
D 8 | 300 43.0 S23 19.8 | 351 01.0 14.5 S11 44.4 11.1 54.9 |
A 9 | 315 42.7 S23 19.8 | 5 34.4 14.4 S11 55.5 11.0 55.0 | Sirius 249 36.7 S17 52.6
Y 10 | 330 42.4 S23 19.8 | 20 07.8 14.3 S12 06.5 11.0 55.0 | Spica 147 49.4 S15 24.7
11 | 345 42.1 S23 19.8 | 34 41.0 14.3 S12 17.4 11.0 55.0 | Suhail 215 22.4 S46 45.2
| | | Vega 73 45.5 N39 34.5
12 | 0 41.8 S23 19.7 | 49 14.2 14.2 S12 28.3 10.9 55.0 | Zuben-ubi 126 12.0 S19 24.4
13 | 15 41.5 S23 19.7 | 63 47.4 14.1 S12 39.2 10.9 55.0 |
14 | 30 41.2 S23 19.7 | 78 20.5 14.1 S12 50.0 10.8 55.1 |
15 | 45 40.9 S23 19.7 | 92 53.5 14.0 S13 00.8 10.8 55.1 |
16 | 60 40.6 S23 19.7 | 107 26.4 13.9 S13 11.6 10.7 55.1 |
17 | 75 40.3 S23 19.6 | 121 59.3 13.9 S13 22.2 10.7 55.1 |
| | |
18 | 90 40.0 S23 19.6 | 136 32.1 13.8 S13 32.9 10.6 55.1 |
19 | 105 39.7 S23 19.6 | 151 04.9 13.7 S13 43.5 10.6 55.2 |
20 | 120 39.4 S23 19.6 | 165 37.6 13.7 S13 54.0 10.5 55.2 |
21 | 135 39.1 S23 19.5 | 180 10.2 13.6 S14 04.5 10.5 55.2 |
22 | 150 38.8 S23 19.5 | 194 42.7 13.5 S14 14.9 10.4 55.2 |
23 | 165 38.5 S23 19.5 | 209 15.1 13.5 S14 25.3 10.4 55.3 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 14.8 14.9 15.0 |