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• W2915746389 abstract "Within the framework of the planar three-body problem we establish the existence of quasi-periodic motions and KAM $4$-tori related to the co-orbital motion of two small moons about a large planet where the moons move in nearly circular orbits with almost equal radii. The approach is based on a combination of normal form and symplectic reduction theories and the application of a KAM theorem for high-order degenerate systems. To accomplish our results we need to expand the Hamiltonian of the three-body problem as a perturbation of two uncoupled Kepler problems. This approximation is valid in the region of phase space where co-orbital solutions occur." @default.
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• W2915746389 date "2019-01-01" @default.
• W2915746389 modified "2023-10-13" @default.
• W2915746389 title "On Co-Orbital Quasi-Periodic Motion in the Three-Body Problem" @default.
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• W2915746389 doi "https://doi.org/10.1137/18m1190859" @default.
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