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Table 7

Uncertainty on the values of the six Mars orbital elements, for a 1000 y, because of the lack of accuracy in the measurements of the asteroid mass.

Asteroid Δa Δe × aMars Δi ΔΩ Δϖ Δλ
[m]  × 10-6   ′′  × 10-6   ′′  × 10-6   ′′  × 10-6   ′′

1 Ceres 0.529 1.653 8.599 521.073 129.366 251.518
2 Pallas 1.451 13.802 30.792 753.100 149.618 975.491
3 Juno 7.800 33.243 76.361 1656.535 328.253 4966.704
4 Vesta 1.220 10.415 12.646 220.471 112.846 1391.602
6 Hebe 26.943 113.656 113.409 397.056 1125.430 7581.599
7 Iris 13.510 117.882 15.492 2384.353 341.588 649.930
8 Flora 3.023 37.158 27.890 161.404 155.523 2446.625
9 Metis 15.917 141.691 22.455 2338.922 1397.893 1503.667
10 Hygiea 1.771 18.102 7.451 438.131 189.439 228.589
11 Parthenope 0.156 1.243 1.457 3.742 13.077 43.074
13 Egeria 2.825 11.215 15.148 3103.934 325.153 1291.582
14 Irene 2.587 14.058 21.611 952.864 333.820 2087.306
15 Eunomia 1.998 19.835 28.267 778.386 64.206 2325.111
16 Psyche 1.392 17.813 13.334 291.731 108.607 837.838
17 Thetis 0.284 2.452 2.104 4.027 18.017 201.725
18 Melpomene 2.306 19.408 46.828 466.697 66.071 167.909
19 Fortuna 6.824 43.364 4.299 533.764 257.431 6505.832
20 Massalia 13.635 40.338 1.532 342.108 503.369 8092.128
21 Lutetia 0.623 4.554 1.011 19.306 48.065 700.052
22 Kalliope 0.066 0.885 0.525 91.106 9.871 47.539
24 Themis 5.404 19.255 0.695 200.095 469.326 6137.619
28 Bellona 4.612 21.258 61.162 326.950 805.754 2262.851
29 Amphitrite 6.044 58.018 78.665 705.943 989.440 4437.654
31 Euphrosyne 2.516 10.597 10.184 686.061 90.927 1162.892
45 Eugenia 2.698 35.770 67.508 550.718 622.549 835.918
46 Hestia 12.799 143.081 70.467 3706.341 696.209 7083.534
47 Aglaja 0.293 1.693 4.248 33.190 11.690 23.301
48 Doris 1.970 14.104 28.663 1020.682 394.806 476.894
49 Pales 0.303 5.085 1.031 81.624 22.385 38.901
52 Europa 2.225 15.466 29.815 137.466 413.986 3011.237
65 Cybele 0.734 8.087 8.896 124.801 72.713 696.421
87 Sylvia 0.008 0.031 0.068 9.277 0.928 1.695
88 Thisbe 2.240 14.125 15.965 975.793 74.820 1927.173
90 Antiope 0.010 0.049 0.005 0.052 0.422 7.596
107 Camilla 0.082 0.160 1.552 28.741 13.405 7.417
111 Ate 49.523 322.444 380.867 12116.761 7560.482 74212.364
121 Hermione 0.055 0.619 0.245 32.379 5.239 72.732
130 Elektra 0.285 1.439 6.656 23.729 35.529 194.223
165 Loreley 7.623 32.525 160.098 3710.437 586.050 563.742
189 Phthia 0.045 0.135 0.087 7.206 2.416 52.144
243 Ida 0.005 0.005 0.002 0.167 0.151 1.336
253 Mathilde 0.008 0.017 0.056 1.788 0.546 9.536
283 Emma 0.011 0.106 0.201 4.982 0.488 1.214

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