Abstract
The stability and capture regions in phase space for retrograde and direct planetary satellites are investigated in the frame of the Circular Restricted Three-Body Problem. We show that a second integral of motion furnishes an accurate description for the stability limit of retrograde satellites.
The distribution of heliocentric orbital elements is studied, and possible candidates to be temporary Jovian satellites are investigated.
Previous results, limited to orbits satisfying the Mirror Theorem, are extended in order to give a complete set of capture conditions in phase-space.
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Brunini, A. On the satellite capture problem. Celestial Mech Dyn Astr 64, 79–92 (1996). https://doi.org/10.1007/BF00051607
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DOI: https://doi.org/10.1007/BF00051607