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Capture/Escape Boundary in the Collinear Restricted Three-Body Problem

Published online by Cambridge University Press:  12 April 2016

Gerard Gómez  and
Jaume Llibre
Gerard Gómez
Affiliation:
Secció de Matemàtiques, Facultat de Ciéncies, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain
Jaume Llibre
Affiliation:
Secció de Matemàtiques, Facultat de Ciéncies, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain

Abstract

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We study the cantorian structure of the successive intersections of the invariant manifolds of infinity (parabolic orbits) with a certain surface of section. The first of these intersections is computed numerically. The structure of the set of orbits of capture or escape after n binary collisions is given.

Type
Part V - Trapped Motion in the Three-Body Problem
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 325 - 338
Copyright
Copyright © Reidel 1983

References

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