Abstract
The paper studies the invariant manifolds of the spatial Hill's problem associated to the two liberation points. A combination of analytical and numerical tools allow the normalization of the Hamiltonian and the computation of periodic and quasi-periodic (invariant tori) orbits. With these tools, it is possible to give a complete description of the center manifolds, association to the liberation points, for a large set of energy values. A systematic exploration of the homoclinic and heteroclinic connections between the center manifolds of the liberation points is also given.
Original language | English |
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Pages (from-to) | 115-147 |
Journal | Dynamical Systems |
Volume | 20 |
DOIs | |
Publication status | Published - 1 Mar 2005 |