On the Dynamics and Topology of the Elliptic Rectilinear Restricted 3-Body Problem |
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Authors: | Ernesto A Lacomba Jaume Llibre |
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Institution: | (1) Departamento de Matemáticas, Universidad Autónoma Metropolitana–Iztapalapa, Apdo. 55534, 09340 México, D.F., México;(2) Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain |
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Abstract: | We study a symmetric collinear restricted 3-body problem, where the equal mass primaries perform elliptic collisions, while
a third massless body moves in the line between the primaries, during the time between two consecutive elliptic collisions.
After desingularizing binary and triple collisions, we prove the existence of a transversal heteroclinic orbit beginning and
ending in triple collision. This orbit is the unique homothetic orbit that the problem possess. Finally, we describe the topology
of the compact extended phase space.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | 3-body problem collinear restricted problem regularization |
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