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- W2078595841 abstract "The dynamics of an orbiter around planetary satellites are modeled using Hill's equations perturbed by the nonsphericity of the satellite. Classically, the long-term behavior of this problem is studied by averaging techniques. The double-averaged problem is integrable. However, up to second order, it presents a symmetry of direct and retrograde inclination orbits that do not exist in the original problem. Lie transforms are used to reduce the problem to an integrable one, with the transformations performed up to third order where the inclination symmetry is broken. Then, by the use of the double reduced space, which is a sphere, a full description of families of frozen orbits and their bifurcations is given. Saddle-center and pitchfork bifurcations related to stable, frozen orbits are identified. Finally, for the specific case of a Europa orbiter, the equilibria of the reduced problem are related to periodic solutions of the nonaveraged problem in a synodic frame." @default.
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- W2078595841 date "2006-01-01" @default.
- W2078595841 modified "2023-09-24" @default.
- W2078595841 title "Phase Space Structure Around Oblate Planetary Satellites" @default.
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- W2078595841 doi "https://doi.org/10.2514/1.13385" @default.
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