Pseudo-heteroclinic connections between bicircular restricted four-body problems
Barrabés Vera, Esther (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
Gómez, Gerard (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
Mondelo González, José María (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Ollé, Mercè (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I)

Date:	2016
Abstract:	In this paper, we show a mechanism to explain transport from the outer to the inner Solar system. Such a mechanism is based on dynamical systems theory. More concretely, we consider a sequence of uncoupled bicircular restricted four-body problems - BR4BP - (involving the Sun, Jupiter, a planet and an infinitesimal mass), being the planet Neptune, Uranus and Saturn. For each BR4BP, we compute the dynamical substitutes of the collinear equilibrium points of the corresponding restricted three-body problem (Sun, planet and infinitesimal mass), which become periodic orbits. These periodic orbits are unstable, and the role that their invariant manifolds play in relation with transport from exterior planets to the inner ones is discussed.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1145 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-504 Ministerio de Economía y Competitividad MTM201341168-P Ministerio de Economía y Competitividad MTM2014-52209-C2-1-P Ministerio de Ciencia y Tecnología 2015-65715-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bicircular problem ; Periodic orbits ; Invariant manifolds ; Heteroclinic connections
Published in:	Monthly Notices of the Royal Astronomical Society, Vol. 462, Issue 1 (October 2016) , p. 740-750, ISSN 1365-2966

DOI: 10.1093/mnras/stw1662

Postprint 24 p, 1.3 MB

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