Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system

This paper is devoted to a new approach to construct the transfers from the Earth to the Earth-Moon (EM) $L_{4}$ using stable and unstable manifolds of planar quasiperiodic Lyapunov orbits (QPLOs) of the EM $L_{3}$ in the planar bicircular SunEarth-Moon system. Some planar QPLOs have stable manifold...

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Autores: Liang, Yuying, Nicolás Ávila, Begoña, Jorba i Monte, Àngel
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/183530
Acceso en línea:https://hdl.handle.net/2445/183530
Access Level:acceso abierto
Palabra clave:Mecànica orbital
Sistemes hamiltonians
Astrofísica
Orbital mechanics
Hamiltonian systems
Astrophysics
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spelling Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon systemLiang, YuyingNicolás Ávila, BegoñaJorba i Monte, ÀngelMecànica orbitalSistemes hamiltoniansAstrofísicaOrbital mechanicsHamiltonian systemsAstrophysicsThis paper is devoted to a new approach to construct the transfers from the Earth to the Earth-Moon (EM) $L_{4}$ using stable and unstable manifolds of planar quasiperiodic Lyapunov orbits (QPLOs) of the EM $L_{3}$ in the planar bicircular SunEarth-Moon system. Some planar QPLOs have stable manifolds intersecting the Earth parking orbits and unstable manifolds passing through the EM $L_{4}$ region, which gives a skeleton to design such transfers. Tentatively, the stable and unstable manifolds of a planar QPLO are employed to construct transfer segments connecting the Earth and $\mathrm{L}_{4}$ vicinity, respectively. The trajectories near the stable manifolds spent some time moving around $L_{3}$ and then approach the unstable manifolds towards $L_{4}$. To reduce the multi-revolution behavior around EM $L_{3}$, a multiple shooting algorithm is developed to switch from the stable to the unstable manifold, where additional maneuvers are performed at some distance from the planar QPLO to reduce the time spent in the EM $L_{3}$ vicinity. By such construction a spacecraft can visit and park around two high-cost far-away libration points in a single journey. Eliminating most of the loops around EM $L_{3}$, the quickest one among the example transfers requests about 175 days. Furthermore, it is presented how to utilize the stable manifolds of the planar QPLO alone to design faster transfers to the EM $L_{4}$ vicinity. By this construction, the lowest time of flight is about 61 days. The advantages of these two constructions are discussed.Elsevier Ltd2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/183530Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1016/j.actaastro.2021.08.034Acta Astronautica, 2021, vol. 189, p. 337-348https://doi.org/10.1016/j.actaastro.2021.08.034cc-by-nc-nd (c) Elsevier Ltd, 2021https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1835302026-05-27T06:46:51Z
dc.title.none.fl_str_mv Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
title Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
spellingShingle Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
Liang, Yuying
Mecànica orbital
Sistemes hamiltonians
Astrofísica
Orbital mechanics
Hamiltonian systems
Astrophysics
title_short Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
title_full Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
title_fullStr Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
title_full_unstemmed Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
title_sort Leveraging L3 to transfer to L4 in the Sun-perturbed Earth-Moon system
dc.creator.none.fl_str_mv Liang, Yuying
Nicolás Ávila, Begoña
Jorba i Monte, Àngel
author Liang, Yuying
author_facet Liang, Yuying
Nicolás Ávila, Begoña
Jorba i Monte, Àngel
author_role author
author2 Nicolás Ávila, Begoña
Jorba i Monte, Àngel
author2_role author
author
dc.subject.none.fl_str_mv Mecànica orbital
Sistemes hamiltonians
Astrofísica
Orbital mechanics
Hamiltonian systems
Astrophysics
topic Mecànica orbital
Sistemes hamiltonians
Astrofísica
Orbital mechanics
Hamiltonian systems
Astrophysics
description This paper is devoted to a new approach to construct the transfers from the Earth to the Earth-Moon (EM) $L_{4}$ using stable and unstable manifolds of planar quasiperiodic Lyapunov orbits (QPLOs) of the EM $L_{3}$ in the planar bicircular SunEarth-Moon system. Some planar QPLOs have stable manifolds intersecting the Earth parking orbits and unstable manifolds passing through the EM $L_{4}$ region, which gives a skeleton to design such transfers. Tentatively, the stable and unstable manifolds of a planar QPLO are employed to construct transfer segments connecting the Earth and $\mathrm{L}_{4}$ vicinity, respectively. The trajectories near the stable manifolds spent some time moving around $L_{3}$ and then approach the unstable manifolds towards $L_{4}$. To reduce the multi-revolution behavior around EM $L_{3}$, a multiple shooting algorithm is developed to switch from the stable to the unstable manifold, where additional maneuvers are performed at some distance from the planar QPLO to reduce the time spent in the EM $L_{3}$ vicinity. By such construction a spacecraft can visit and park around two high-cost far-away libration points in a single journey. Eliminating most of the loops around EM $L_{3}$, the quickest one among the example transfers requests about 175 days. Furthermore, it is presented how to utilize the stable manifolds of the planar QPLO alone to design faster transfers to the EM $L_{4}$ vicinity. By this construction, the lowest time of flight is about 61 days. The advantages of these two constructions are discussed.
publishDate 2021
dc.date.none.fl_str_mv 2021
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 https://hdl.handle.net/2445/183530
url https://hdl.handle.net/2445/183530
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1016/j.actaastro.2021.08.034
Acta Astronautica, 2021, vol. 189, p. 337-348
https://doi.org/10.1016/j.actaastro.2021.08.034
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier Ltd, 2021
https://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier Ltd, 2021
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier Ltd
publisher.none.fl_str_mv Elsevier Ltd
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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