Numerical Investigation of the Planar Restricted Three-Body Problem. II. Regions of Stability for Retrograde Satellites of Jupiter as Determined by Periodic Orbits of the Second Generation

Physics

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Scientific paper

The familyf of simple-periodic retrograde satellites of Jupiter is used as the generating family in order to find periodic orbits of the second generation of up to order eight. Thirteen new families of long-periodic orbits of the type of retrograde satellites are found and the significane of their characteristic family curves for the determination of regions of stability is investigated. The use of these, family curves is suggested for the direct discovery of such regions in a two-dimensional space of parameters.

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