Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Ollé Torner, Mercè
dc.contributor.author	Barrabés Vera, Esther
dc.date	2009-11
dc.identifier.citation	Ollé, M.; Barrabés, E. Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP. "Celestial mechanics and dynamical astronomy", Novembre 2009, vol. 105, núm. 1-3, p. 197-210.
dc.identifier.citation	0923-2958
dc.identifier.uri	http://hdl.handle.net/2117/7757
dc.language.iso	eng
dc.relation	http://www.springerlink.com/content/al6257q66013k422/fulltext.pdf
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Sistemes dinàmics diferencials
dc.subject	Astrodinàmica
dc.title	Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We consider the planar restricted three-body problem and the collinear equilibrium point L3, as an example of a center×saddle equilibrium point in a Hamiltonian with two degrees of freedom.We explore numerically the existence of symmetric and non-symmetric homoclinic orbits to L3, when varying the mass parameter μ. Concerning the symmetric homoclinic orbits (SHO), we study the multi-round, m-round, SHO for m ≥ 2. More precisely, given a transversal value of μ for which there is a 1-round SHO, say μ1, we show that for any m ≥ 2, there are countable sets of values of μ, tending to μ1, corresponding to m-round SHO. Some comments on related analytical results are also made.
dc.description.abstract	Peer Reviewed

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