Transit regions and ejection/collision orbits in the RTBP
Ollé, Mercè (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Rodríguez, Òscar (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Soler, Jaume (Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental)

Date:	2021
Abstract:	In this paper we analyse the global behaviour of the whole set of ejection orbits in the planar circular RTBP. We consider ejection from the big or the small primary, that is we take the mass parameter µ, the mass traditionally associated with the small primary, in a range of values µ ∈ (0,1) (the other primary has mass 1−µ). A discussion on the relation between the Lyapunov periodic orbit around the collinear equilibrium point L1 and the ejection orbits is carried out in the range of values of the Jacobi constant such that the associated Hill regions permit only a bounded movement. In particular a chaotic infinity of heteroclinic connections between a primary and the LPO1 are obtained. As a consequence a chaotic infinity of ejection-collision orbits is also derived. Finally, 2D plots, called colour code diagrams, allow to describe the global dynamics of the ejection orbits given a range of time. Such diagrams provide a very accurate understanding of the dynamics of the orbits under discussion.
Grants:	Ministerio de Economía y Competitividad PGC2018-100928-B-100 Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1049
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Ejection/collision orbits ; Transit regions ; Massive numerical simulations ; Global visualization
Published in:	Communications in nonlinear science and numerical simulation, Vol. 94 (March 2021) , art. 105550, ISSN 1007-5704

DOI: 10.1016/j.cnsns.2020.105550

Postprint 37 p, 1.6 MB

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