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Table B.2.
First 50 terms of the frequency decomposition 
of z (a) and ζ (b) for Vesta on [−25 : 5] Myr.
| (a) z = e exp(iϖ) | |||
|---|---|---|---|
| νk (′′∕yr) | 106 × Ak | ϕk (°) | |
| gV | 36.89490 | 98 564 | −122.569 |
| g6 | 28.24512 | 31 697 | −55.781 |
| g5 | 4.25749 | 26 156 | 27.041 |
| 36.97140 | 4721 | 115.878 | |
| 36.81313 | 4554 | 163.495 | |
| 36.84862 | 2759 | 166.234 | |
| 36.78643 | 2558 | 179.195 | |
| 36.99679 | 2525 | 85.970 | |
| 36.93803 | 1731 | 122.690 | |
| 36.89072 | 1663 | 127.326 | |
| 36.72857 | 1647 | − 140.285 | |
| 37.05697 | 1550 | 34.707 | |
| 36.89173 | 1376 | 154.679 | |
 |
50.15557 | 1349 | −107.631 |
 |
23.63377 | 1300 | 41.845 |
| 36.93341 | 1190 | 74.762 | |
| 2sV − gV | −116.11448 | 1102 | 154.886 |
| 36.84000 | 1064 | − 179.914 | |
| 36.84716 | 1047 | 162.744 | |
| g7 | 3.08795 | 1045 | 117.063 |
| 36.78526 | 926 | − 157.751 | |
| 36.88950 | 802 | 69.901 | |
| 2g6 − g5 | 52.23282 | 676 | −138.360 |
| 36.94612 | 652 | 120.228 | |
 |
38.06152 | 640 | 140.591 |
 |
35.72795 | 626 | 156.535 |
| 2gV − g5 | 69.53245 | 611 | −91.314 |
| 36.98925 | 581 | 79.842 | |
 |
41.50591 | 494 | −40.729 |
| 36.74614 | 477 | −116.184 | |
| 36.69132 | 471 | −78.481 | |
 |
29.41516 | 430 | −143.914 |
| 2gV − g6 | 45.54421 | 422 | −9.384 |
| 36.93934 | 416 | 67.015 | |
| 2gV − g6 + sV − s6 | 32.28376 | 406 | 155.536 |
| 36.80741 | 403 | − 139.857 | |
| 36.94137 | 381 | 100.853 | |
| 36.99255 | 377 | 27.377 | |
| 37.04189 | 373 | 33.547 | |
| 36.88943 | 372 | 119.603 | |
 |
27.07591 | 370 | −144.919 |
| 37.44533 | 358 | −86.385 | |
| 36.34301 | 352 | 16.697 | |
| 36.72254 | 349 | −62.084 | |
| 36.79011 | 347 | −135.492 | |
| 37.10060 | 344 | −39.502 | |
| 36.65369 | 310 | −37.489 | |
| 36.84687 | 268 | 177.786 | |
| 37.14608 | 266 | −64.218 | |
| 36.84949 | 237 | −174.862 | |
(b)  |
|||
| νk (′′ ∕yr) | 106 × Ak | ϕk (°) | |
| sV | − 39.60884 | 53 659 | 107.187 |
| s6 | − 26.34784 | 8415 | −56.192 |
| − 39.67443 | 7943 | −20.319 | |
| − 39.53472 | 7659 | 76.357 | |
| − 39.49150 | 2826 | −33.655 | |
| − 39.57146 | 2652 | −140.255 | |
| − 39.62997 | 2198 | −137.520 | |
| − 39.52960 | 2098 | 112.525 | |
 |
− 48.25866 | 2079 | 174.744 |
 |
− 30.95913 | 1985 | −138.459 |
| − 39.58772 | 1560 | 105.743 | |
| − 39.47439 | 1467 | 103.816 | |
| − 39.69832 | 1399 | 162.185 | |
| − 39.65518 | 1248 | 58.214 | |
| − 39.61420 | 945 | −56.211 | |
| − 39.73436 | 860 | −67.914 | |
| − 39.50462 | 851 | −93.953 | |
| − 39.69100 | 816 | −167.379 | |
| − 39.39015 | 772 | −106.169 | |
| − 39.43391 | 770 | −42.332 | |
| − 39.46848 | 707 | 124.045 | |
| − 39.55488 | 697 | −45.834 | |
| − 39.77783 | 682 | 29.955 | |
| − 39.65303 | 651 | 66.999 | |
| s8 | − 0.69175 | 584 | 20.276 |
| − 39.43395 | 574 | −2.148 | |
| − 39.73011 | 563 | −49.221 | |
| 2gV − sV | 113.39865 | 533 | 7.177 |
| s7 | − 2.99254 | 514 | 136.656 |
| − 39.42303 | 488 | 46.722 | |
| − 39.69201 | 466 | −179.610 | |
| − 39.76367 | 464 | 94.984 | |
| − 39.35408 | 379 | 139.039 | |
 |
− 34.99780 | 363 | −169.922 |
| − 39.81461 | 357 | 121.250 | |
| − 39.79370 | 336 | −103.462 | |
| − 48.33380 | 327 | −0.018 | |
| − 48.17492 | 326 | −164.608 | |
| − 31.01869 | 309 | 126.019 | |
| − 30.89244 | 301 | 144.122 | |
| − 40.15440 | 284 | 86.579 | |
| gV + g6 − sV | 104.74876 | 277 | 73.310 |
| − 39.39361 | 274 | −103.823 | |
| − 39.05991 | 271 | −42.700 | |
 |
− 40.77220 | 263 | −145.014 |
| 2sV − s6 | − 52.87189 | 259 | 88.498 |
 |
− 38.44674 | 249 | −177.002 |
| − 17.73694 | 212 | −34.193 | |
 |
− 6.97330 | 136 | −50.263 |
| gV + g5 − sV | 80.76118 | 133 | 156.327 |
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