Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization

In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejectio...

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Detalhes bibliográficos
Autores: Ollé, M., Rodríguez, Ó., Soler, J.
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/537062
Acesso em linha:http://hdl.handle.net/2072/537062
Access Level:acceso abierto
Palavra-chave:McGehee’s regularization, Parameterization method, Ejection-collision orbits
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spelling Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularizationOllé, M.Rodríguez, Ó.Soler, J.McGehee’s regularization, Parameterization method, Ejection-collision orbitsIn this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejection (collision) orbits. Moreover, assuming ejection orbits, different methods are discussed to detect which of them are also collision orbits. Finally we explore the so called ejection-collision (EC) orbits, that is, orbits where the particle ejects from one primary, reaches a maximum in the distance with respect to the same primary, and ends at collision with that primary. Some results concerning the existence of spatial EC orbits are described.M. Ollé and O. Rodríguez were supported by the Spanish MINECO/FEDER grant PGC2018-100928-B-I00 and the Catalan, Spain grant 2017SGR-1049. M. Ollé is also supported by the Spanish Maria de Maeztu grant R&D CEX2020-001084-M. J. Soler was supported by MTM2016-77278-P.Elsevier2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion27 p.application/pdfhttp://hdl.handle.net/2072/537062RECERCAT (Dipòsit de la Recerca de Catalunya)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésCommunications in Nonlinear Science and Numerical SimulationL'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/4.0/L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:2072/5370622026-05-29T05:05:01Z
dc.title.none.fl_str_mv Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
title Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
spellingShingle Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
Ollé, M.
McGehee’s regularization, Parameterization method, Ejection-collision orbits
title_short Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
title_full Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
title_fullStr Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
title_full_unstemmed Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
title_sort Study of the ejection/collision orbits in the spatial RTBP using the McGehee regularization
dc.creator.none.fl_str_mv Ollé, M.
Rodríguez, Ó.
Soler, J.
author Ollé, M.
author_facet Ollé, M.
Rodríguez, Ó.
Soler, J.
author_role author
author2 Rodríguez, Ó.
Soler, J.
author2_role author
author
dc.subject.none.fl_str_mv McGehee’s regularization, Parameterization method, Ejection-collision orbits
topic McGehee’s regularization, Parameterization method, Ejection-collision orbits
description In this paper we analyse the McGehee regularization of the collision in the spatial Restricted three-body problem (3D RTBP). As a particular application, we study the ejection (collision) orbits. The parameterization method is applied up to high order to obtain suitable initial conditions of ejection (collision) orbits. Moreover, assuming ejection orbits, different methods are discussed to detect which of them are also collision orbits. Finally we explore the so called ejection-collision (EC) orbits, that is, orbits where the particle ejects from one primary, reaches a maximum in the distance with respect to the same primary, and ends at collision with that primary. Some results concerning the existence of spatial EC orbits are described.
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/2072/537062
url http://hdl.handle.net/2072/537062
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Communications in Nonlinear Science and Numerical Simulation
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 27 p.
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv RECERCAT (Dipòsit de la Recerca de Catalunya)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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