Ejection and collision orbits of the spatial restricted three-body problem

Jaume Llibre, J. Martínez Alfaro

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)

Abstract

We begin by describing the global flow of the spatial two body rotating problem, μ=0. The remainder of the work is devoted to study the ejection and collision orbits when μ>-0. We make use of the 'blow up' techniques to show that for any fixed value of the Jacobian constant the set of these orbits is diffeomorphic to S2×R. Also we find some particular collision-ejection orbits. © 1985 D. Reidel Publishing Company.
Original languageEnglish
Pages (from-to)113-128
JournalCelestial mechanics
Volume35
DOIs
Publication statusPublished - 1 Feb 1985

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