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Home All issues Volume 508 / No 1 (December II 2009) A&A, 508 1 (2009) 479-489 Full HTML
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Table 1:

Ranking of the asteroids according to the theoretical perturbations on the semi-major axis and longitude of Mars with periods smaller than 50 years.
Asteroid Number of coeffs. (P < 50 years) Number of coeffs. (P < 10 years) Comm. Mass $\sigma(m)/m$
${\rm N^{\rm o}}$ name $\Delta a_{\rm M}$ $\Delta \lambda_{\rm M}$ $\Delta a_{\rm M}$ $\Delta \lambda_{\rm M}$ $\Delta a_{\rm M}$ $\Delta \lambda_{\rm M}$ $\Delta a_{\rm M}$ $\Delta \lambda_{\rm M}$ $P_{M}{:}P_{\rm a}$ m  
  $c_{\rm a}$/10 $c_{\lambda }$/10 $c_{\rm a}$/100 $c_{\lambda }$/100 $c_{\rm a}$/10 $c_{\lambda }$/10 $c_{\rm a}$/100 $c_{\lambda }$/100   $\left[M_{\odot}\right]$ $\left[\%\right]$
1 Ceres 15 2 44 14 12 12 44 41 - $4.75\times 10^{-10}$ 0.07
2 Pallas 9 2 52 13 6 7 56 48 - $1.03\times 10^{-10}$ 1.3
4 Vesta 10 1 41 8 10 10 41 33 - $1.34\times 10^{-10}$ 0.09
7 Iris 2 1 18 4 - - 17 18 - $6.30\times 10^{-12}$ 3
3 Juno - - 14 4 - 1 14 16 - $1.51\times 10^{-11}$ 2.4
15 Eunomia - - 12 3 - 1 11 10 - $1.57\times 10^{-11}$ 1.8
654 Zelinda - - 10 2 - - 4 7 - $1.36\times 10^{-12}$ -
324 Bamberga - - 9 1 - - 8 9 7:3 $5.50\times 10^{-12}$ 12.1
19 Fortuna - - 6 2 - - 5 5 - $6.38\times 10^{-12}$ 3.1
10 Hygiea - - 7 - - - 8 9 - $4.45\times 10^{-11}$ 0.8
41 Daphne $^{\star\star}$ - - 5 2 - - 2 7 - $3.47\times 10^{-12}$ 9.6
532 Herculina - - 6 1 - - 3 5 - $7.22\times 10^{-12}$ 8.2
9 Metis - - 3 2 - - 2 4 - $2.44\times 10^{-12}$ 10.8
13 Egeria - - 4 1 - - 2 2 11:5 $5.89\times 10^{-12}$ 10.3
344 Desiderata - - 3 2 - - 1 3 - $1.52\times 10^{-12}$ -
511 Davida - - 5 - - - 6 8 3:1 $2.20\times 10^{-11}$ 3.4
6 Hebe - - 4 - - - 5 5 2:1 $6.46\times 10^{-12}$ 6.9
704 Interamnia - - 3 1 - - 3 4 - $1.86\times 10^{-11}$ 4.3
18 Melpomene - - 3 - - - 2 4 - $1.83\times 10^{-12}$ 21.2
29 Amphitrite - - 2 1 - - 2 3 13:6 $5.92\times 10^{-12}$ 2.9
8 Flora - - 2 - - - 2 4 - $1.65\times 10^{-12}$ 12.1
14 Irene - - 2 - - - 1 3 - $2.31\times 10^{-12}$ 7.1
27 Euterpe - - 2 - - - - - - $5.82\times 10^{-13}$ 11.2
51 Nemausa - - 1 1 - - - 1 - $2.13\times 10^{-12}$ 11.5
105 Artemis - - 1 1 - - - - - $1.11\times 10^{-12}$ -
187 Lamberta - - 2 - - - - 2 12:5 $1.49\times 10^{-12}$ -
192 Nausikaa - - 1 1 - - - - 2:1 $7.25\times 10^{-13}$ 40.9
313 Chaldaea - - 1 1 - - - - - $5.88\times 10^{-13}$ -
356 Liguria - - 1 1 - - - 1 - $1.49\times 10^{-12}$ 18.6
405 Thia - - 2 - - - 1 2 - $1.28\times 10^{-12}$ 47.6
419 Aurelia - - 1 1 - - 1 2 - $1.41\times 10^{-12}$ 29.7
747 Winchester - - 2 - - - 1 2 - $3.33\times 10^{-12}$ 30.4
16 Psyche - - 1 - - - 3 4 - $1.10\times 10^{-11}$ 3.7
409 Aspasia - - 1 - - - - - 11:5 $2.78\times 10^{-12}$ 23
451 Patientia - - 1 - - - 1 1 - $7.50\times 10^{-12}$ 6.8
521 Brixia - - 1 - - - - - - $1.02\times 10^{-12}$ -
31 Euphrosyne - - - - - - 2 4 3:1 $1.10\times 10^{-11}$ 7.1
20 Massalia - - - - - - 1 2 2:1 $2.03\times 10^{-12 }$ 8
78 Diana - - - - - - - 3 9:4 $1.15\times 10^{-12 }$ 24.0
11 Parthenope - - - - - - 1 1 - $3.09\times 10^{-12 }$ 5.5
52 Europa - - - - - - 1 1 - $8.29\times 10^{-12 }$ 4.6
139 Juewa - - - - - - - 2 - $2.53\times 10^{-12 }$ 15.6
194 Prokne - - - - - - 1 1 9:4 $3.14\times 10^{-12 }$ 18
5 Astraea - - - - - - - 1 11:5 $1.11\times 10^{-12}$ 20.9
12 Victoria - - - - - - - 1 - $9.45\times 10^{-13 }$ 13.2
22 Kalliope $^{\star\star}$ - - - - - - - 1 - $4.07\times 10^{-12 }$ 12.5
23 Thalia - - - - - - - 1 - $8.18\times 10^{-13 }$ -
24 Themis - - - - - - - 1 - $5.11\times 10^{-12 }$ 10.5
48 Doris - - - - - - - 1 - $7.18\times 10^{-12 }$ 6.3
53 Kalypso - - - - - - - 1 9:4 $1.01\times 10^{-12 }$ 20.5
54 Alexandra - - - - - - - 1 - $3.00\times 10^{-12 }$ 7.8
56 Melete - - - - - - - 1 - $9.55\times 10^{-13 }$ 38.1
88 Thisbe - - - - - - 1 - - $5.31\times 10^{-12 }$ 3.4
94 Aurora - - - - - - - 1 3:1 $5.66\times 10^{-12 }$ 5.1
111 Ate - - - - - - - 1 - $1.60\times 10^{-12 }$ 14.2
144 Vibilia - - - - - - - 1 - $1.88\times 10^{-12 }$ 17
145 Adeona - - - - - - - 1 - $2.27\times 10^{-12 }$ 24.9
156 Xanthippe - - - - - - - 1 12:5 $1.17\times 10^{-12 }$ -
164 Eva - - - - - - - 1 - $7.60\times 10^{-13 }$ -
354 Eleonora - - - - - - - 1 5:2 $2.46\times 10^{-12 }$ 16.6
372 Palma - - - - - - - 1 3:1 $4.41\times 10^{-12 }$ 32.3
404 Arsinoe - - - - - - - 1 - $6.14\times 10^{-13 }$ -
423 Diotima - - - - - - - 1 - $5.99\times 10^{-12 }$ 4.1
505 Cava - - - - - - - 1 7:3 $1.00\times 10^{-12 }$ -

This gives essentially the number of perturbing terms (above two preselected thresholds) in the orbital elements of Mars due to the asteroids of Cols. 1 and 2. The same information is given for periods shorter than 10 years. The last column shows the expected formal precisions on the masses with Gaia when less than 50%. The binary asteroids are marked by $^{\star\star}$.

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