Periodic orbits for space-based reflectors in the circular restricted three-body problem
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s10569-016-9739-3 http://hdl.handle.net/11449/178420 |
Resumo: | The use of space-based orbital reflectors to increase the total insolation of the Earth has been considered with potential applications in night-side illumination, electric power generation and climate engineering. Previous studies have demonstrated that families of displaced Earth-centered and artificial halo orbits may be generated using continuous propulsion, e.g. solar sails. In this work, a three-body analysis is performed by using the circular restricted three body problem, such that, the space mirror attitude reflects sunlight in the direction of Earth’s center, increasing the total insolation. Using the Lindstedt–Poincaré and differential corrector methods, a family of halo orbits at artificial Sun–Earth L 2 points are found. It is shown that the third order approximation does not yield real solutions after the reflector acceleration exceeds 0.245 mm s - 2, i.e. the analytical expressions for the in- and out-of-plane amplitudes yield imaginary values. Thus, a larger solar reflector acceleration is required to obtain periodic orbits closer to the Earth. Derived using a two-body approach and applying the differential corrector method, a family of displaced periodic orbits close to the Earth are therefore found, with a solar reflector acceleration of 2.686 mm s - 2. |
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Periodic orbits for space-based reflectors in the circular restricted three-body problemArtificial libration pointDisplaced orbitEarth’s climate systemHalo orbitSpace reflectorsThree-body problemThe use of space-based orbital reflectors to increase the total insolation of the Earth has been considered with potential applications in night-side illumination, electric power generation and climate engineering. Previous studies have demonstrated that families of displaced Earth-centered and artificial halo orbits may be generated using continuous propulsion, e.g. solar sails. In this work, a three-body analysis is performed by using the circular restricted three body problem, such that, the space mirror attitude reflects sunlight in the direction of Earth’s center, increasing the total insolation. Using the Lindstedt–Poincaré and differential corrector methods, a family of halo orbits at artificial Sun–Earth L 2 points are found. It is shown that the third order approximation does not yield real solutions after the reflector acceleration exceeds 0.245 mm s - 2, i.e. the analytical expressions for the in- and out-of-plane amplitudes yield imaginary values. Thus, a larger solar reflector acceleration is required to obtain periodic orbits closer to the Earth. Derived using a two-body approach and applying the differential corrector method, a family of displaced periodic orbits close to the Earth are therefore found, with a solar reflector acceleration of 2.686 mm s - 2.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)UNESP-Grupo de Dinâmica Orbital e PlanetologiaSchool of Engineering University of GlasgowUNESP-Grupo de Dinâmica Orbital e PlanetologiaFAPESP: 2011/08171-3FAPESP: 2013/03233-6FAPESP: 2015/00559-3Universidade Estadual Paulista (Unesp)University of GlasgowSalazar, F. J.T. [UNESP]McInnes, C. R.Winter, O. C. [UNESP]2018-12-11T17:30:12Z2018-12-11T17:30:12Z2017-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article95-113application/pdfhttp://dx.doi.org/10.1007/s10569-016-9739-3Celestial Mechanics and Dynamical Astronomy, v. 128, n. 1, p. 95-113, 2017.1572-94780923-2958http://hdl.handle.net/11449/17842010.1007/s10569-016-9739-32-s2.0-849957414462-s2.0-84995741446.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengCelestial Mechanics and Dynamical Astronomy1,0921,092info:eu-repo/semantics/openAccess2024-01-13T06:36:34Zoai:repositorio.unesp.br:11449/178420Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-01-13T06:36:34Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Periodic orbits for space-based reflectors in the circular restricted three-body problem |
title |
Periodic orbits for space-based reflectors in the circular restricted three-body problem |
spellingShingle |
Periodic orbits for space-based reflectors in the circular restricted three-body problem Salazar, F. J.T. [UNESP] Artificial libration point Displaced orbit Earth’s climate system Halo orbit Space reflectors Three-body problem |
title_short |
Periodic orbits for space-based reflectors in the circular restricted three-body problem |
title_full |
Periodic orbits for space-based reflectors in the circular restricted three-body problem |
title_fullStr |
Periodic orbits for space-based reflectors in the circular restricted three-body problem |
title_full_unstemmed |
Periodic orbits for space-based reflectors in the circular restricted three-body problem |
title_sort |
Periodic orbits for space-based reflectors in the circular restricted three-body problem |
author |
Salazar, F. J.T. [UNESP] |
author_facet |
Salazar, F. J.T. [UNESP] McInnes, C. R. Winter, O. C. [UNESP] |
author_role |
author |
author2 |
McInnes, C. R. Winter, O. C. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) University of Glasgow |
dc.contributor.author.fl_str_mv |
Salazar, F. J.T. [UNESP] McInnes, C. R. Winter, O. C. [UNESP] |
dc.subject.por.fl_str_mv |
Artificial libration point Displaced orbit Earth’s climate system Halo orbit Space reflectors Three-body problem |
topic |
Artificial libration point Displaced orbit Earth’s climate system Halo orbit Space reflectors Three-body problem |
description |
The use of space-based orbital reflectors to increase the total insolation of the Earth has been considered with potential applications in night-side illumination, electric power generation and climate engineering. Previous studies have demonstrated that families of displaced Earth-centered and artificial halo orbits may be generated using continuous propulsion, e.g. solar sails. In this work, a three-body analysis is performed by using the circular restricted three body problem, such that, the space mirror attitude reflects sunlight in the direction of Earth’s center, increasing the total insolation. Using the Lindstedt–Poincaré and differential corrector methods, a family of halo orbits at artificial Sun–Earth L 2 points are found. It is shown that the third order approximation does not yield real solutions after the reflector acceleration exceeds 0.245 mm s - 2, i.e. the analytical expressions for the in- and out-of-plane amplitudes yield imaginary values. Thus, a larger solar reflector acceleration is required to obtain periodic orbits closer to the Earth. Derived using a two-body approach and applying the differential corrector method, a family of displaced periodic orbits close to the Earth are therefore found, with a solar reflector acceleration of 2.686 mm s - 2. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-05-01 2018-12-11T17:30:12Z 2018-12-11T17:30:12Z |
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/s10569-016-9739-3 Celestial Mechanics and Dynamical Astronomy, v. 128, n. 1, p. 95-113, 2017. 1572-9478 0923-2958 http://hdl.handle.net/11449/178420 10.1007/s10569-016-9739-3 2-s2.0-84995741446 2-s2.0-84995741446.pdf |
url |
http://dx.doi.org/10.1007/s10569-016-9739-3 http://hdl.handle.net/11449/178420 |
identifier_str_mv |
Celestial Mechanics and Dynamical Astronomy, v. 128, n. 1, p. 95-113, 2017. 1572-9478 0923-2958 10.1007/s10569-016-9739-3 2-s2.0-84995741446 2-s2.0-84995741446.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Celestial Mechanics and Dynamical Astronomy 1,092 1,092 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
95-113 application/pdf |
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 |
|
_version_ |
1803046691396386816 |