Ejection–collision orbits in two degrees of freedom problems in celestial mechanics

The version of record is available online at: http://dx.doi.org/10.1007/s00332-021-09721-5

Detalles Bibliográficos
Autores: Alvarez Ramírez, Martha, Barrabés Vera, Esther, Medina, M., Ollé Torner, Mercè|||0000-0002-8050-9055
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/365227
Acceso en línea:https://hdl.handle.net/2117/365227
https://dx.doi.org/10.1007/s00332-021-09721-5
Access Level:acceso abierto
Palabra clave:Dynamics
Ejection-collision orbits
Two degrees of freedom
Blow-up
Regularization
Total collision manifold
Dinàmica
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Física::Relativitat
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spelling Ejection–collision orbits in two degrees of freedom problems in celestial mechanicsAlvarez Ramírez, MarthaBarrabés Vera, EstherMedina, M.Ollé Torner, Mercè|||0000-0002-8050-9055DynamicsEjection-collision orbitsTwo degrees of freedomBlow-upRegularizationTotal collision manifoldDinàmicaClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanicsÀrees temàtiques de la UPC::Física::RelativitatThe version of record is available online at: http://dx.doi.org/10.1007/s00332-021-09721-5In a general setting of a Hamiltonian system with two degrees of freedom and assuming some properties for the undergoing potential, we study the dynamics close and tending to a singularity of the system which in models of N-body problems corresponds to total collision. We restrict to potentials that exhibit two more singularities that can be regarded as two kind of partial collisions when not all the bodies are involved. Regularizing the singularities, the total collision transforms into a 2-dimensional invariant manifold. The goal of this paper is to prove the existence of different types of ejection–collision orbits, that is, orbits that start and end at total collision. Such orbits are regarded as heteroclinic connections between two equilibrium points and are mainly characterized by the partial collisions that the trajectories find on their way. The proof of their existence is based on the transversality of 2-dimensional invariant manifolds and on the behavior of the dynamics on the total collision manifold; both of them are thoroughly described.Peer ReviewedSpringer Nature20212021-08-0120222022-04-04journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/365227https://dx.doi.org/10.1007/s00332-021-09721-5reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-100928-B-I00 MECANICA CELESTE: METODOS ANALITICOS Y NUMERICOS Y APLICACIONESopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3652272026-05-27T15:37:01Z
dc.title.none.fl_str_mv Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
title Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
spellingShingle Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
Alvarez Ramírez, Martha
Dynamics
Ejection-collision orbits
Two degrees of freedom
Blow-up
Regularization
Total collision manifold
Dinàmica
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Física::Relativitat
title_short Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
title_full Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
title_fullStr Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
title_full_unstemmed Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
title_sort Ejection–collision orbits in two degrees of freedom problems in celestial mechanics
dc.creator.none.fl_str_mv Alvarez Ramírez, Martha
Barrabés Vera, Esther
Medina, M.
Ollé Torner, Mercè|||0000-0002-8050-9055
author Alvarez Ramírez, Martha
author_facet Alvarez Ramírez, Martha
Barrabés Vera, Esther
Medina, M.
Ollé Torner, Mercè|||0000-0002-8050-9055
author_role author
author2 Barrabés Vera, Esther
Medina, M.
Ollé Torner, Mercè|||0000-0002-8050-9055
author2_role author
author
author
dc.subject.none.fl_str_mv Dynamics
Ejection-collision orbits
Two degrees of freedom
Blow-up
Regularization
Total collision manifold
Dinàmica
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Física::Relativitat
topic Dynamics
Ejection-collision orbits
Two degrees of freedom
Blow-up
Regularization
Total collision manifold
Dinàmica
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Àrees temàtiques de la UPC::Física::Relativitat
description The version of record is available online at: http://dx.doi.org/10.1007/s00332-021-09721-5
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-08-01
2022
2022-04-04
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/365227
https://dx.doi.org/10.1007/s00332-021-09721-5
url https://hdl.handle.net/2117/365227
https://dx.doi.org/10.1007/s00332-021-09721-5
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-100928-B-I00 MECANICA CELESTE: METODOS ANALITICOS Y NUMERICOS Y APLICACIONES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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