Effect of Jupiter's mass growth on satellite capture. The prograde case

Details Effect of Jupiter's mass growth on satellite capture. The prograde case Effect of Jupiter's mass growth on satellite capture. The prograde case

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006a%26a...452.1091v&link_type=abstract

Astronomy and Astrophysics, Volume 452, Issue 3, June IV 2006, pp.1091-1097

Astronomy and Astrophysics

Astrophysics

4

Planets And Satellites: Formation, Solar System: Formation, Solar System: General

Scientific paper

We study the effects of Jupiter mass growth in order to permanently capture prograde satellites. Adopting the restricted three-body problem, Sun-Jupiter-Particle, we performed numerical simulations backward in time while considering the decrease in Jupiter's mass. We considered the particle's initial conditions to be prograde, at pericenter, in the region 100 {R}jupiter ≤ a≤ 400 {{R}jupiter} and 0≤ e≤ 0.5. The results give Jupiter's mass at the moment when the particle escapes from the planet. Such values give an indication of the conditions that are necessary for capture. An analysis of these results shows that prograde satellite capture is more complex than a retrograde one. It occurs in a two-step process. First, when the particles get inside about 0.85{R}Hill (Hills' radius), they become weakly bound to Jupiter. Then, they keep migrating toward the planet with a strong decrease in eccentricity, while the planet is growing. The radial oscillation of the particles reduces significantly when they reach a radial distance that is less than about 0.45{R}Hill from the planet. Three-dimensional simulations for the known prograde satellites of Jupiter were performed. The results indicate that Leda, Himalia, Lysithea, and Elara could have been permanently captured when Jupiter had between 50% and 60% of its present mass.

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