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Table 1

Results of the 100 million year integration of the satellites.

Satellite  ⟨ a ⟩   ⟨ e ⟩   ⟨ i ⟩  Megno TL σa σe σi Δa Δe Δi
(AU) (deg) (years) (AU) (deg) (AU) (deg)
Prograde group
Himalia 0.0765 0.1597 28.602 1.81 stable 0.05 3.92 39.6 0.31 20.10 266.7
Elara 0.0783 0.2122 28.067 9.60 4 098 361 0.21 8.42 2790.6 1.07 46.38 17 583.9
Lysithea 0.0782 0.1167 27.644 2.00 stable 0.04 88.32 1122.2 0.24 313.38 4085.4
Leda 0.0745 0.1630 28.086 2.01 stable 0.18 53.00 943.6 1.11 271.48 4931.0
Themisto 0.0495 0.2546 44.389 545.04 69 444 0.03 401.74 5524.2 0.12 2239.23 34 151.5
Carpo (*) 0.1139 0.4229 53.144 1490.97 33557 5.41 264.32 5194.8 26.88 1095.74 24 442.0
Ananke family
Ananke 0.1406 0.2438 147.705 162.53 306 129 1.24 205.56 3049.6 7.07 866.93 13 248.8
Iocaste 0.1408 0.2260 148.635 285.43 173 039 3.33 104.74 3116.0 20.57 556.34 17 444.8
Praxidike 0.1400 0.2410 148.011 1146.58 33 886 2.79 58.04 4676.9 0.05 284.77 22 918.0
Harpalyke 0.1396 0.2392 147.807 1049.08 42 952 4.43 52.07 1426.4 22.30 273.06 6352.3
Thyone 0.1402 0.2411 147.619 848.01 57 206 4.72 26.45 4348.9 22.68 133.20 20 367.7
Hermippe 0.1411 0.2202 150.084 62.34 859 049 10.23 73.82 4905.6 47.50 405.81 28 528.3
Euanthe 0.1392 0.2427 148.000 1454.65 33 312 5.04 46.18 1754.2 24.26 229.10 8438.8
2003J16 (*) 0.1386 0.2362 147.628 884.23 59 312 3.60 169.65 4209.0 20.15 802.68 19 353.9
Mneme (*) 0.1391 0.2388 147.752 106.93 466 919 4.01 324.56 7705.3 20.86 1802.96 40 557.9
Thelxinoe (*) 0.1402 0.2286 150.713 134.79 383 527 7.77 84.58 3459.7 37.80 472.33 19 479.7
Carme family
Carme 0.1547 0.2619 164.519 556.27 56179 6.55 84.41 2206.4 35.98 416.92 11 406.1
Kalyke 0.1557 0.2558 164.651 1174.44 43 545 5.78 70.18 2640.3 36.75 321.74 12 780.2
Erinome 0.1540 0.2736 164.372 210.13 255 461 12.07 135.98 1066.0 61.52 618.31 5061.9
Isonoe 0.1536 0.2543 164.792 52.56 926 900 4.04 38.19 1182.5 18.15 158.05 6719.7
Taygete 0.1544 0.2599 164.748 51.24 902 368 2.41 24.76 3657.0 13.49 122.30 18 690.9
Chaldene 0.1533 0.2582 164.683 128.75 396 116 5.59 108.18 2563.5 27.37 835.70 12 059.9
Pasithee 0.1527 0.2744 164.572 169.37 365 565 10.47 80.63 3783.3 49.80 398.23 17 440.4
Kale 0.1540 0.2659 164.466 947.10 55 335 8.06 105.95 4057.5 40.50 573.26 19 154.0
Aitne 0.1541 0.2705 164.550 1366.89 36 578 7.03 78.87 1650.4 38.29 350.12 10 304.4
Eukelade (*) 0.1542 0.2698 164.722 58.85 765 413 1.81 30.16 804.2 10.46 132.23 4096.1
2003J05 (*) 0.1553 0.2554 164.782 472.66 109 538 6.38 81.31 2781.6 34.90 494.19 12 618.4
Arche (*) 0.1544 0.2573 164.526 17.64 2 812 262 2.03 12.87 1273.9 11.77 88.06 7112.3
Kallichore (*) 0.1540 0.2579 164.636 604.61 77 760 8.19 99.66 4509.3 45.26 454.62 23 867.7
2003J19 (*) 0.1556 0.2632 164.641 496.83 113 623 7.05 64.11 1743.6 38.58 394.83 8151.2
2003J9 (*) 0.1546 0.2709 164.550 29.73 1 573 482 2.46 36.17 0428.3 12.65 198.53 2266.1
Herse (*) 0.1520 0.2457 164.465 97.41 504 692 0.89 41.03 4216.8 5.06 204.93 19 813.3
Pasiphae family
Pasiphae 0.1568 0.4012 148.712 4089.53 9087 6.25 1006.23 35600.8 36.04 3811.57 136 968.2
Megaclite 0.1581 0.4263 149.752 916.06 73 282 12.07 79.53 5973.0 59.91 500.91 36 264.9
2003J04 (*) 0.1586 0.3753 146.822 2672.96 17 519 6.63 233.38 5942.7 41.75 1266.15 34 420.8
Cyllene (*) 0.1580 0.4136 147.213 5464.17 9772 17.73 971.95 32673.5 88.79 3553.04 140 856.3
Other satellites
Autonoe 0.1588 0.3187 150.759 4870.90 10 116 18.14 465.55 11633.6 74.00 1649.62 449 531.8
Callirhoe 0.1591 0.2964 145.072 3088.88 12 820 13.91 237.06 10839.3 64.20 1223.68 468 475.3
Helike (*) 0.1398 0.1631 156.207 3561.37 15 742 2.75 1770.12 101714.9 18.03 5317.68 3 034 247.6
Aoede (*) 0.1589 0.4417 155.930 2518.58 18 446 5.94 177.45 12345.3 34.64 935.99 468 323.0
2003J23 (*) 0.1554 0.2892 144.482 2042.03 26 659 5.21 274.02 7912.4 31.90 1346.63 360 419.6
Eurydome 0.1530 0.2863 148.928 120.76 407 729 3.48 39.67 3034.7 17.86 205.63 14 6036.5
Hegemone (*) 0.1561 0.3561 152.479 3687.31 8771 14.71 818.84 21 359.9 60.21 2544.48 766 995.9
Euporie 0.1288 0.1482 145.425 86.72 608 869 0.52 148.24 3551.8 3.33 781.07 182 316.4
Sponde 0.1573 0.3215 149.245 2058.82 21 836 13.77 336.61 8770.1 61.33 1202.19 431 989.5
Orthosie 0.1397 0.2916 144.120 1389.60 38 452 3.59 240.42 10 202.6 19.51 1056.06 494 229.6
Sinope 0.1579 0.2630 157.814 5890.24 8009 18.92 1005.06 16 314.9 83.41 4119.96 710 624.0
2003J02 (*) 0.1904 0.3800 154.290 3349.03 1687 – – – – – –
2003J03 (*) 0.1338 0.2090 146.820 56.89 978 744 4.65 295.51 6123.5 22.42 1489.61 32 446.0
2003J10 (*) 0.1525 0.4358 163.536 513.58 97 757 4.54 56.60 3171.6 26.16 208.43 15 917.6
Kore (*) 0.1616 0.3483 142.715 17505.48 2475 36.90 792.35 17 126.7 130.63 2937.66 77 155.1
2003J15 (*) 0.1493 0.2060 145.472 352.21 135 390 5.75 84.95 5806.9 29.31 460.46 33 523.3
2003J18 (*) 0.1357 0.0980 145.388 39219.53 1363 6.40 245.59 10 204.4 24.65 1481.72 47 437.5

Notes. For each satellite is shown the averaged semi-major axis  ⟨ a ⟩ , averaged eccentricity  ⟨ e ⟩ , averaged inclination  ⟨ i ⟩ , the final MEGNO value and the Lyapunov time TL. From the averaged evolution (see Sect. 3), we determine the standard deviation σ ( × 10-5) and maximum excursion Δ ( × 10-5) for the semi-major axis, eccentricity and inclination (see text for details). The (*) stands for satellites not previously studied by Nesvorný et al. (2003).

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