Ejection and collision orbits of the spatial restricted three-body problem |
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| Authors: | Jaume Llibre J Martínez Alfaro |
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| Institution: | (1) Secció de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain;(2) Department de Mecánica i Astronomia, Facultat de Matemàtiques, Universitat de Valencia, Valencia, Spain |
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| Abstract: | We begin by describing the global flow of the spatial two body rotating problem,  =0. The remainder of the work is devoted to study the ejection and collision orbits when >-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. |
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