A family of linear stable equilibria in the Sun-Earth-Sail problem

Detalhes bibliográficos
Autor(a) principal: Marchesin, Marcelo
Data de Publicação: 2020
Outros Autores: Yokoyama, Tadashi [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s10509-020-03802-9
http://hdl.handle.net/11449/201775
Resumo: The collinear libration point of the Sun-Earth Circular Restricted Three-Body Problem (CR3BP), L3 is located opposite to the Earth with respect to the Sun. Whereas several space missions have been launched to the other two collinear equilibrium points, i.e., L1 and L2, the region around L3 is so far unexploited essentially because of the severe communication limitations caused by Sun’s blocking location. By using an adequate size, location and attitude of a solar sail, the equilibrium point can be displaced from its original location to allow direct communication between the satellite and Earth. This paper presents several families of artificial equilibria located on the semi-space which is permanently opposite to Earth in relation to the Sun, but which allows direct communication with Earth. We present a family of such equilibria which are linearly stable and therefore very useful for space missions.
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spelling A family of linear stable equilibria in the Sun-Earth-Sail problemArtificial equilibriaLinear stabilitySail dynamicsThe collinear libration point of the Sun-Earth Circular Restricted Three-Body Problem (CR3BP), L3 is located opposite to the Earth with respect to the Sun. Whereas several space missions have been launched to the other two collinear equilibrium points, i.e., L1 and L2, the region around L3 is so far unexploited essentially because of the severe communication limitations caused by Sun’s blocking location. By using an adequate size, location and attitude of a solar sail, the equilibrium point can be displaced from its original location to allow direct communication between the satellite and Earth. This paper presents several families of artificial equilibria located on the semi-space which is permanently opposite to Earth in relation to the Sun, but which allows direct communication with Earth. We present a family of such equilibria which are linearly stable and therefore very useful for space missions.Department of Mathematics Universidade Federal de Minas GeraisDepartment of Applied Mathematics Universidade Estadual Paulista-UNESPDepartment of Applied Mathematics Universidade Estadual Paulista-UNESPUniversidade Federal de Minas Gerais (UFMG)Universidade Estadual Paulista (Unesp)Marchesin, MarceloYokoyama, Tadashi [UNESP]2020-12-12T02:41:31Z2020-12-12T02:41:31Z2020-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s10509-020-03802-9Astrophysics and Space Science, v. 365, n. 5, 2020.1572-946X0004-640Xhttp://hdl.handle.net/11449/20177510.1007/s10509-020-03802-92-s2.0-85085039988Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengAstrophysics and Space Scienceinfo:eu-repo/semantics/openAccess2021-10-22T21:54:22Zoai:repositorio.unesp.br:11449/201775Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T21:54:22Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A family of linear stable equilibria in the Sun-Earth-Sail problem
title A family of linear stable equilibria in the Sun-Earth-Sail problem
spellingShingle A family of linear stable equilibria in the Sun-Earth-Sail problem
Marchesin, Marcelo
Artificial equilibria
Linear stability
Sail dynamics
title_short A family of linear stable equilibria in the Sun-Earth-Sail problem
title_full A family of linear stable equilibria in the Sun-Earth-Sail problem
title_fullStr A family of linear stable equilibria in the Sun-Earth-Sail problem
title_full_unstemmed A family of linear stable equilibria in the Sun-Earth-Sail problem
title_sort A family of linear stable equilibria in the Sun-Earth-Sail problem
author Marchesin, Marcelo
author_facet Marchesin, Marcelo
Yokoyama, Tadashi [UNESP]
author_role author
author2 Yokoyama, Tadashi [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Federal de Minas Gerais (UFMG)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Marchesin, Marcelo
Yokoyama, Tadashi [UNESP]
dc.subject.por.fl_str_mv Artificial equilibria
Linear stability
Sail dynamics
topic Artificial equilibria
Linear stability
Sail dynamics
description The collinear libration point of the Sun-Earth Circular Restricted Three-Body Problem (CR3BP), L3 is located opposite to the Earth with respect to the Sun. Whereas several space missions have been launched to the other two collinear equilibrium points, i.e., L1 and L2, the region around L3 is so far unexploited essentially because of the severe communication limitations caused by Sun’s blocking location. By using an adequate size, location and attitude of a solar sail, the equilibrium point can be displaced from its original location to allow direct communication between the satellite and Earth. This paper presents several families of artificial equilibria located on the semi-space which is permanently opposite to Earth in relation to the Sun, but which allows direct communication with Earth. We present a family of such equilibria which are linearly stable and therefore very useful for space missions.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T02:41:31Z
2020-12-12T02:41:31Z
2020-05-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/s10509-020-03802-9
Astrophysics and Space Science, v. 365, n. 5, 2020.
1572-946X
0004-640X
http://hdl.handle.net/11449/201775
10.1007/s10509-020-03802-9
2-s2.0-85085039988
url http://dx.doi.org/10.1007/s10509-020-03802-9
http://hdl.handle.net/11449/201775
identifier_str_mv Astrophysics and Space Science, v. 365, n. 5, 2020.
1572-946X
0004-640X
10.1007/s10509-020-03802-9
2-s2.0-85085039988
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Astrophysics and Space Science
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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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