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Table B.1.

First 50 terms of the frequency decomposition of z (a) and ζ (b) for Ceres on [−25 : 5] Myr.

(a) z = eexp(iϖ)
νk (′′∕yr) 106 × Ak ϕk (°)
gC 54.25253 114 938 158.975
g5 4.25750 30 684 27.077
g6 28.24513 19 564 −55.734
2g6 − g5 52.23276 8023 41.516
2sC − gC −172.75959 3548 176.528
54.17786 1655 −83.503
54.32863 1623 −134.203
2g6 − g7 53.40275 1283 −46.914
g7 3.08802 1241 117.284
−174.77941 1127 58.984
56.27217 905 −84.214
−170.73981 840 113.990
87.15851 764 −154.007
21.34721 742 −66.583
2gC − g5 104.24751 634 110.562
53.08393 630 70.370
54.21717 616 −84.317
55.42147 614 67.809
54.28472 558 −129.243
54.08927 501 −65.955
55.10340 497 9.247
54.41912 489 −152.236
−173.60964 486 −30.478
−171.90928 480 −155.596
2sC − g5 −122.76450 446 −51.407
54.15524 399 −49.259
2sC − g6 −146.75209 360 31.354
54.36418 355 −158.902
2gC − g6 80.26030 353 −165.663
54.31987 328 −159.069
54.24404 319 −112.835
54.18020 313 −79.241
54.28220 270 −132.179
sC + s6 − gC −139.85387 268 42.730
29.41435 259 −146.243
54.57100 256 48.097
54.12303 246 −42.931
27.07620 238 −143.927
54.38335 235 135.976
54.42899 226 142.071
54.35117 224 −167.422
−171.59009 219 −93.331
2gC − g6 + sC − s6 47.35451 205 −32.146
54.08255 184 10.421
53.93389 172 91.974
54.13501 157 −16.590
54.51732 145 49.156
54.80607 130 −157.283
53.98072 121 85.795
54.02290 103 63.359
(b)
νk (′′ ∕yr) 106 × Ak ϕk (°)
sC − 59.25351 81 688 78.182
− 61.27328 12 344 −39.650
− 57.23374 12 196 15.144
− 58.40327 5834 105.370
− 60.10380 5635 −130.022
s6 − 26.34785 5229 −56.215
− 59.31728 2065 −158.140
− 59.18992 2006 137.687
− 58.08408 1633 167.789
2gC − sC 167.75857 1349 −120.054
− 59.46608 1244 −36.536
− 59.04171 1188 10.471
− 59.11983 1018 136.500
− 63.29327 962 −157.935
− 59.38279 958 −151.270
− 62.12350 895 112.305
− 85.26094 861 −136.937
− 55.21408 861 −47.864
− 59.21440 839 178.291
sC + (gC − g5 − 2g6 + 2g7) − 59.57496 833 −175.559
− 56.38355 827 42.285
− 59.15776 815 145.609
− 33.24610 811 112.398
− 59.27631 754 −158.149
sC − (gC − g5 − 2g6 + 2g7) − 58.93431 748 145.231
− 59.34031 658 −136.208
s8 − 0.69175 578 20.281
− 59.13924 537 69.232
− 59.09718 502 110.955
s7 − 2.99254 498 136.651
− 59.18243 494 169.976
− 57.30115 464 140.185
− 59.40588 432 −117.262
− 57.16365 430 81.300
− 60.64119 421 42.144
− 57.86597 410 −68.694
gC + g5 − sC 117.76361 352 108.466
− 60.95377 347 25.982
− 59.08710 335 44.985
gC + g6 − sC 141.75125 332 25.633
− 59.18321 317 61.105
− 59.29432 306 −156.136
− 57.55339 297 130.966
− 9.25848 291 −150.471
− 56.06436 273 105.958
− 59.22602 268 176.849
− 83.24112 267 160.665
− 59.16970 238 106.185
− 59.24087 234 154.444
− 57.08095 199 104.126

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