A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems

Semi-analytical and numerical techniques to systematically analyze and compute natural connections between quasi-periodic orbits associated to non-autonomous systems are considered. Focusing in the non-autonomous Sun–Earth+Moon coherent QBCP model, the center-unstable and center-stable invariant man...

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Authors: Li, Ruilong, Masdemont Soler, Josep|||0000-0002-3456-1127, Zhu, Zhanxia
Format: article
Publication Date:2024
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/427939
Online Access:https://hdl.handle.net/2117/427939
https://dx.doi.org/10.1016/j.actaastro.2024.08.033
Access Level:Embargoed access
Keyword:Sun–earth+moon system
Quasi-bicircular problem
Libration points
Invariant manifolds
Heteroclinic connections
Àrees temàtiques de la UPC::Aeronàutica i espai
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oai_identifier_str oai:upcommons.upc.edu:2117/427939
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spelling A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problemsLi, RuilongMasdemont Soler, Josep|||0000-0002-3456-1127Zhu, ZhanxiaSun–earth+moon systemQuasi-bicircular problemLibration pointsInvariant manifoldsHeteroclinic connectionsÀrees temàtiques de la UPC::Aeronàutica i espaiSemi-analytical and numerical techniques to systematically analyze and compute natural connections between quasi-periodic orbits associated to non-autonomous systems are considered. Focusing in the non-autonomous Sun–Earth+Moon coherent QBCP model, the center-unstable and center-stable invariant manifolds of Lyapunov quasi-periodic orbits are parameterized and a methodology to detect heteroclinic connections between manifolds is introduced. The methodology aims to decrease the dimensionality of the problem and to address the issue of searching good initial conditions inside the high dimensional state space. Then, connections are identified by searching for approximate patch points in a state-time Poincaré section. These points are subsequently refined to obtain smooth paths that are further continued inside their families.R. Li thanks the support of the Chinese Scholarship Council. J.J. Masdemont thanks the Ministerio de Ciencia e Innovación-FEDER for the grant PID2021-123968NB-I00 and the Catalan grant 2017SGR- 1049. Z. Zhu thanks the National Key Laboratory of Aerospace Flight Dynamics for the grant KGJ6142210210101.Peer ReviewedElsevier20242024-09-0320252025-04-1420262026-09-03journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/427939https://dx.doi.org/10.1016/j.actaastro.2024.08.033reponame: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 2021-2023 PID2021-123968NB-I00 METODOS MODERNOS EN MECANICA CELESTE Y APLICACIONESembargoed accesshttp://purl.org/coar/access_right/c_f1cfinfo:eu-repo/semantics/embargoedAccessoai:upcommons.upc.edu:2117/4279392026-05-27T15:37:01Z
dc.title.none.fl_str_mv A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
title A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
spellingShingle A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
Li, Ruilong
Sun–earth+moon system
Quasi-bicircular problem
Libration points
Invariant manifolds
Heteroclinic connections
Àrees temàtiques de la UPC::Aeronàutica i espai
title_short A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
title_full A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
title_fullStr A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
title_full_unstemmed A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
title_sort A computational methodology for invariant manifold connections between quasi-periodic libration point orbits in non-autonomous problems
dc.creator.none.fl_str_mv Li, Ruilong
Masdemont Soler, Josep|||0000-0002-3456-1127
Zhu, Zhanxia
author Li, Ruilong
author_facet Li, Ruilong
Masdemont Soler, Josep|||0000-0002-3456-1127
Zhu, Zhanxia
author_role author
author2 Masdemont Soler, Josep|||0000-0002-3456-1127
Zhu, Zhanxia
author2_role author
author
dc.subject.none.fl_str_mv Sun–earth+moon system
Quasi-bicircular problem
Libration points
Invariant manifolds
Heteroclinic connections
Àrees temàtiques de la UPC::Aeronàutica i espai
topic Sun–earth+moon system
Quasi-bicircular problem
Libration points
Invariant manifolds
Heteroclinic connections
Àrees temàtiques de la UPC::Aeronàutica i espai
description Semi-analytical and numerical techniques to systematically analyze and compute natural connections between quasi-periodic orbits associated to non-autonomous systems are considered. Focusing in the non-autonomous Sun–Earth+Moon coherent QBCP model, the center-unstable and center-stable invariant manifolds of Lyapunov quasi-periodic orbits are parameterized and a methodology to detect heteroclinic connections between manifolds is introduced. The methodology aims to decrease the dimensionality of the problem and to address the issue of searching good initial conditions inside the high dimensional state space. Then, connections are identified by searching for approximate patch points in a state-time Poincaré section. These points are subsequently refined to obtain smooth paths that are further continued inside their families.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-09-03
2025
2025-04-14
2026
2026-09-03
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/2117/427939
https://dx.doi.org/10.1016/j.actaastro.2024.08.033
url https://hdl.handle.net/2117/427939
https://dx.doi.org/10.1016/j.actaastro.2024.08.033
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 2021-2023 PID2021-123968NB-I00 METODOS MODERNOS EN MECANICA CELESTE Y APLICACIONES
dc.rights.none.fl_str_mv embargoed access
http://purl.org/coar/access_right/c_f1cf
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/embargoedAccess
rights_invalid_str_mv embargoed access
http://purl.org/coar/access_right/c_f1cf
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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