On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites

Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar perturbation, assuming that the Moon lies on the ecliptic plane. The secular...

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Autores: Alessi, Elisa, Baldomá Barraca, Inmaculada|||0000-0002-4838-1186, Giralt Miron, Mar, Guàrdia Munarriz, Marcel|||0000-0002-4802-3151, Pousse, Alexandre
Tipo de recurso: artículo
Fecha de publicación:2025
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:2117/446176
Acceso en línea:https://hdl.handle.net/2117/446176
https://dx.doi.org/10.1016/j.cnsns.2024.108498
Access Level:acceso abierto
Palabra clave:Space debris
Medium earth orbits
Galileo satellites
Periodic orbits
Resonances
Averaging theory
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
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spelling On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellitesAlessi, ElisaBaldomá Barraca, Inmaculada|||0000-0002-4838-1186Giralt Miron, MarGuàrdia Munarriz, Marcel|||0000-0002-4802-3151Pousse, AlexandreSpace debrisMedium earth orbitsGalileo satellitesPeriodic orbitsResonancesAveraging theoryClassificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanicsClassificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systemsÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmicsMotivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar perturbation, assuming that the Moon lies on the ecliptic plane. The secular Hamiltonian defined in that way is characterized by two timescales. We compare the location and stability of the fixed points associated with the secular Hamiltonian averaged with respect to the fast variable with the corresponding periodic orbits of the full system. Focusing on the orbit of the Galileo satellites, it turns out that the two dynamics cannot be confused, as the relative difference depends on the ratio between the semi-major axis of Galileo and the one of the Moon, that is not negligible. The result is relevant to construct rigorously the Arnold diffusion mechanism that can drive a natural growth in eccentricity that allows a satellite initially on a circular orbit in Medium Earth Orbit to reenter into the Earth’s atmosphere.E.M. Alessi and A. Pousse acknowledge support received by the project entitled ‘‘co-orbital motion and three-body regimes in the solar system’’, funded by Fondazione Cariplo, Italy through the program ‘‘Promozione dell’attrattività e competitività dei ricercatori su strumenti dell’European Research Council – Sottomisura rafforzamento’’. I. Baldomá has been supported by the grant PID-2021- 122954NB-100 funded by the Spanish State Research Agency through the programs MCIN/AEI/10.13039/501100011033 and ‘‘ERDF A way of making Europe’’. M. Giralt has been supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 101034255. M. Giralt has also been supported by the research project PRIN 2020XB3EFL ‘‘Hamiltonian and dispersive PDEs’’. M. Guardia has been supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 757802). M. Guardia is also supported by the Catalan Institution for Research and Advanced Studies via an ICREA Academia Prizes 2018 and 2023. This work is part of the grant PID-2021-122954NB-100 funded by MCIN/AEI/10.13039/501100011033 and ‘‘ERDF A way of making Europe’’. This work is also supported by the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084-M).Peer Reviewed20252025-03-0120252025-11-12journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/446176https://dx.doi.org/10.1016/j.cnsns.2024.108498reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4461762026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
title On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
spellingShingle On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
Alessi, Elisa
Space debris
Medium earth orbits
Galileo satellites
Periodic orbits
Resonances
Averaging theory
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
title_short On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
title_full On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
title_fullStr On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
title_full_unstemmed On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
title_sort On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
dc.creator.none.fl_str_mv Alessi, Elisa
Baldomá Barraca, Inmaculada|||0000-0002-4838-1186
Giralt Miron, Mar
Guàrdia Munarriz, Marcel|||0000-0002-4802-3151
Pousse, Alexandre
author Alessi, Elisa
author_facet Alessi, Elisa
Baldomá Barraca, Inmaculada|||0000-0002-4838-1186
Giralt Miron, Mar
Guàrdia Munarriz, Marcel|||0000-0002-4802-3151
Pousse, Alexandre
author_role author
author2 Baldomá Barraca, Inmaculada|||0000-0002-4838-1186
Giralt Miron, Mar
Guàrdia Munarriz, Marcel|||0000-0002-4802-3151
Pousse, Alexandre
author2_role author
author
author
author
dc.subject.none.fl_str_mv Space debris
Medium earth orbits
Galileo satellites
Periodic orbits
Resonances
Averaging theory
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
topic Space debris
Medium earth orbits
Galileo satellites
Periodic orbits
Resonances
Averaging theory
Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
description Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar perturbation, assuming that the Moon lies on the ecliptic plane. The secular Hamiltonian defined in that way is characterized by two timescales. We compare the location and stability of the fixed points associated with the secular Hamiltonian averaged with respect to the fast variable with the corresponding periodic orbits of the full system. Focusing on the orbit of the Galileo satellites, it turns out that the two dynamics cannot be confused, as the relative difference depends on the ratio between the semi-major axis of Galileo and the one of the Moon, that is not negligible. The result is relevant to construct rigorously the Arnold diffusion mechanism that can drive a natural growth in eccentricity that allows a satellite initially on a circular orbit in Medium Earth Orbit to reenter into the Earth’s atmosphere.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-03-01
2025
2025-11-12
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/446176
https://dx.doi.org/10.1016/j.cnsns.2024.108498
url https://hdl.handle.net/2117/446176
https://dx.doi.org/10.1016/j.cnsns.2024.108498
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
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
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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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