The invariant manifold structure of the spatial Hill's problem

G. Gómez, M. Marcote, J. M. Mondelo

Research output: Contribution to journalArticleResearchpeer-review

36 Citations (Scopus)

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 languageEnglish
Pages (from-to)115-147
JournalDynamical Systems
Volume20
DOIs
Publication statusPublished - 1 Mar 2005

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