Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole

Detalhes bibliográficos
Autor(a) principal: Santos, L. B.T.
Data de Publicação: 2018
Outros Autores: Sousa-Silva, P. A. [UNESP], Sanchez, D. M., Prado, A. F.B.A.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/187887
Resumo: The objective of the present work is to search for orbits around the equilibrium points L1 and L2 of the restricted three-body synchronous problem (RTBSP). From the equations of motion of a binary system of asteroids, where one of the asteroids is modeled as a rotating mass dipole, it was possible to determine the initial conditions for Lyapunov orbits. The study was carried out by modifying the mass ratio of the system and the size of the dipole mass in rotation. By line-arizing the equations of motion, it is possible to obtain the eigenvectors and eigenvalues, and, with these values, it was possible to determine the initial estimates of periodic orbits around the equilibrium points using Newton's method. Then, a family of orbits was built around the equilibrium points L1 and L2.
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spelling Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipoleThe objective of the present work is to search for orbits around the equilibrium points L1 and L2 of the restricted three-body synchronous problem (RTBSP). From the equations of motion of a binary system of asteroids, where one of the asteroids is modeled as a rotating mass dipole, it was possible to determine the initial conditions for Lyapunov orbits. The study was carried out by modifying the mass ratio of the system and the size of the dipole mass in rotation. By line-arizing the equations of motion, it is possible to obtain the eigenvectors and eigenvalues, and, with these values, it was possible to determine the initial estimates of periodic orbits around the equilibrium points using Newton's method. Then, a family of orbits was built around the equilibrium points L1 and L2.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Division of Space Mechanics and Control National Institute for Space Research - INPE, Astronautas Avenue 1758Department of Mathematics São Paulo State University - UNESPDivision of Space Mechanics and Control National Institute for Space Research - INPEINPE in Brazil National Institute for Space Research - INPEDepartment of Mathematics São Paulo State University - UNESPCNPq: /2016-7FAPESP: 2013/07174-FAPESP: 2014/22295-5FAPESP: 2016/14665-2FAPESP: 2016/18418-0FAPESP: 2016/24561-0FAPESP: 2018/00059-9FAPESP: 2018/06966-8CNPq: 406841/2016-0National Institute for Space Research - INPEUniversidade Estadual Paulista (Unesp)Santos, L. B.T.Sousa-Silva, P. A. [UNESP]Sanchez, D. M.Prado, A. F.B.A.2019-10-06T15:50:23Z2019-10-06T15:50:23Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject421-438Advances in the Astronautical Sciences, v. 167, p. 421-438.0065-3438http://hdl.handle.net/11449/1878872-s2.0-85069506744Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAdvances in the Astronautical Sciencesinfo:eu-repo/semantics/openAccess2021-10-23T19:02:20Zoai:repositorio.unesp.br:11449/187887Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:53:12.560559Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
title Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
spellingShingle Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
Santos, L. B.T.
title_short Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
title_full Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
title_fullStr Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
title_full_unstemmed Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
title_sort Searching for orbits around equilibrium points in a binary asteroid system modeled as a mass dipole
author Santos, L. B.T.
author_facet Santos, L. B.T.
Sousa-Silva, P. A. [UNESP]
Sanchez, D. M.
Prado, A. F.B.A.
author_role author
author2 Sousa-Silva, P. A. [UNESP]
Sanchez, D. M.
Prado, A. F.B.A.
author2_role author
author
author
dc.contributor.none.fl_str_mv National Institute for Space Research - INPE
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Santos, L. B.T.
Sousa-Silva, P. A. [UNESP]
Sanchez, D. M.
Prado, A. F.B.A.
description The objective of the present work is to search for orbits around the equilibrium points L1 and L2 of the restricted three-body synchronous problem (RTBSP). From the equations of motion of a binary system of asteroids, where one of the asteroids is modeled as a rotating mass dipole, it was possible to determine the initial conditions for Lyapunov orbits. The study was carried out by modifying the mass ratio of the system and the size of the dipole mass in rotation. By line-arizing the equations of motion, it is possible to obtain the eigenvectors and eigenvalues, and, with these values, it was possible to determine the initial estimates of periodic orbits around the equilibrium points using Newton's method. Then, a family of orbits was built around the equilibrium points L1 and L2.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
2019-10-06T15:50:23Z
2019-10-06T15:50:23Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv Advances in the Astronautical Sciences, v. 167, p. 421-438.
0065-3438
http://hdl.handle.net/11449/187887
2-s2.0-85069506744
identifier_str_mv Advances in the Astronautical Sciences, v. 167, p. 421-438.
0065-3438
2-s2.0-85069506744
url http://hdl.handle.net/11449/187887
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Advances in the Astronautical Sciences
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 421-438
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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