The Astronomical Journal · 2003 · 218 citations · 58 references
The irregular moons of the Jovian planets are a puzzling part of the solar system inventory. Unlike regular satellites, the irregular moons revolve around planets at large distances in tilted and eccentric orbits. Their origin, which is intimately linked with the origin of the planets themselves, is yet to be explained. Here we report a study of the orbital and collisional evolution of the irregular satellites from times after their forma-tion to the present epoch. The purpose of this study is to find out the features of the observed irregular moons that can be attributed to this evolution and separate them from signatures of the formation process. We numerically integrated60,000 test satellite orbits to map orbital locations that are stable on long time inter-vals. We found that the orbits highly inclined to the ecliptic are unstable due to the effect of the Kozai resonance, which radially stretches them so that satellites either escape from the Hill sphere, collide with massive inner moons, or impact the parent planet. We also found that prograde satellite orbits with large semimajor axes are unstable due to the effect of the evection resonance, which locks the orbit’s apocenter to the apparent motion of the Sun around the parent planet. In such a resonance, the effect of solar tides on a resonant moon accumulates at each apocenter passage of the moon, which causes a radially outward drift of its orbital apocenter; once close to the Hill sphere, the moon escapes. By contrast, retrograde moons with
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Construction of higher order symplectic integrators
Haruo Yoshida · Physics Letters A · 1990 · 2.2K citations
Symplectic maps for the n-body problem
Jack Wisdom, Matthew J. Holman · The Astronomical Journal · 1991 · 1.2K citations
Hamiltonian Theory, Orbit Determination, Symplectic Maps +10
The Long-Term Dynamical Behavior of Short-Period Comets
Harold F. Levison, Martin J. Duncan · Icarus · 1994 · 893 citations · Full text
Catastrophic Disruptions Revisited