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

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

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..113l&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, Feb. 1985, p. 113-128.

Physics

1

Celestial Mechanics, Collisions, Orbital Mechanics, Three Body Problem, Two Body Problem, Coordinates, Ejection, Hamiltonian Functions, Topology

Scientific paper

The authors begin by describing the global flow of the spatial two body rotating problem, μ = 0. The remainder of the work is devoted to a study of the ejection and collision orbits when μ ≥ 0. The authors 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. Some particular collision-ejection orbits are found.

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