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Introduction to the restricted Jupiter orbiter problem
Authors:T A Heppenheimer
Institution:(1) Center for Space Science, 92708 Fountain Valley, California, USA;(2) Present address: Max-Planck-Institut für Kernphysik, Heidelberg, Germany
Abstract:We consider a restricted six-body problem, consisting of Jupiter, the four Galilean satellites, and an orbiter. The Galilean satellites' orbits are circular and coplanar; Io, Europa, and Ganymede are in exact resonance; their mean longitudes obey the Laplace relation. We seek periodic orbits which avoid close approaches to any satellite; such orbits are of interest for mission planning. They are approximated as equilibrium points of sets of variational equations associated with time-averaged disturbing functions. Stability of the solutions is also determined. The orbits of greatest interest are:Planar: twice Callisto's period, eccentricityle0.6Planar: four times Callisto's period, eccentricityle0.75Slightly inclined: twice Callisto's period, eccentricity arbitraryPlanar: 4/5 or 5/4 Europa's period.
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