Studying the lifetime of orbits around Moons in elliptic motion

Detalhes bibliográficos
Autor(a) principal: Gomes, Vivian Martins [UNESP]
Data de Publicação: 2016
Outros Autores: de C�ssia Domingos, Rita [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s40314-015-0258-8
http://hdl.handle.net/11449/178316
Resumo: The main goal of the present paper is to study the lifetime of orbits around moons that are in elliptic motion around their parent planet. The lifetime of the orbits is defined as the time the orbit stays in orbit around the moon without colliding with its surface. The mathematical model used to solve this problem is the second order expansion of the potential of the disturbing planet, assumed to be in an elliptical orbit. The results are presented in maps showing the lifetime of the orbit as a function of its initial inclination and eccentricity. The only perturbation acting on the orbit of the spacecraft is assumed to be the gravity of the planet, so the problem is solved by studying the orbital evolution of the spacecraft perturbed by a third body in an elliptical orbit. The region of inclination above the critical value of the third-body perturbation (around 63∘) is studied, since below that value the orbits survive for a long time. The influence of the eccentricity of the primaries is also investigated, assuming a hypothetical system that has the same mass parameter and sizes of the Earth–Moon system, but the eccentricity can be in the range 0.0–0.2.
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spelling Studying the lifetime of orbits around Moons in elliptic motionAstrodynamicsAveraged methodsStability of orbitsThird-body perturbationThe main goal of the present paper is to study the lifetime of orbits around moons that are in elliptic motion around their parent planet. The lifetime of the orbits is defined as the time the orbit stays in orbit around the moon without colliding with its surface. The mathematical model used to solve this problem is the second order expansion of the potential of the disturbing planet, assumed to be in an elliptical orbit. The results are presented in maps showing the lifetime of the orbit as a function of its initial inclination and eccentricity. The only perturbation acting on the orbit of the spacecraft is assumed to be the gravity of the planet, so the problem is solved by studying the orbital evolution of the spacecraft perturbed by a third body in an elliptical orbit. The region of inclination above the critical value of the third-body perturbation (around 63∘) is studied, since below that value the orbits survive for a long time. The influence of the eccentricity of the primaries is also investigated, assuming a hypothetical system that has the same mass parameter and sizes of the Earth–Moon system, but the eccentricity can be in the range 0.0–0.2.UNESP Univ. Estadual Paulista (UNESP)UNESP Univ. Estadual PaulistaUNESP Univ. Estadual Paulista (UNESP)UNESP Univ. Estadual PaulistaUniversidade Estadual Paulista (Unesp)Gomes, Vivian Martins [UNESP]de C�ssia Domingos, Rita [UNESP]2018-12-11T17:29:45Z2018-12-11T17:29:45Z2016-10-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article653-661application/pdfhttp://dx.doi.org/10.1007/s40314-015-0258-8Computational and Applied Mathematics, v. 35, n. 3, p. 653-661, 2016.1807-03020101-8205http://hdl.handle.net/11449/17831610.1007/s40314-015-0258-82-s2.0-849898722812-s2.0-84989872281.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematics0,272info:eu-repo/semantics/openAccess2024-07-02T14:29:31Zoai:repositorio.unesp.br:11449/178316Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:44:35.963139Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Studying the lifetime of orbits around Moons in elliptic motion
title Studying the lifetime of orbits around Moons in elliptic motion
spellingShingle Studying the lifetime of orbits around Moons in elliptic motion
Gomes, Vivian Martins [UNESP]
Astrodynamics
Averaged methods
Stability of orbits
Third-body perturbation
title_short Studying the lifetime of orbits around Moons in elliptic motion
title_full Studying the lifetime of orbits around Moons in elliptic motion
title_fullStr Studying the lifetime of orbits around Moons in elliptic motion
title_full_unstemmed Studying the lifetime of orbits around Moons in elliptic motion
title_sort Studying the lifetime of orbits around Moons in elliptic motion
author Gomes, Vivian Martins [UNESP]
author_facet Gomes, Vivian Martins [UNESP]
de C�ssia Domingos, Rita [UNESP]
author_role author
author2 de C�ssia Domingos, Rita [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Gomes, Vivian Martins [UNESP]
de C�ssia Domingos, Rita [UNESP]
dc.subject.por.fl_str_mv Astrodynamics
Averaged methods
Stability of orbits
Third-body perturbation
topic Astrodynamics
Averaged methods
Stability of orbits
Third-body perturbation
description The main goal of the present paper is to study the lifetime of orbits around moons that are in elliptic motion around their parent planet. The lifetime of the orbits is defined as the time the orbit stays in orbit around the moon without colliding with its surface. The mathematical model used to solve this problem is the second order expansion of the potential of the disturbing planet, assumed to be in an elliptical orbit. The results are presented in maps showing the lifetime of the orbit as a function of its initial inclination and eccentricity. The only perturbation acting on the orbit of the spacecraft is assumed to be the gravity of the planet, so the problem is solved by studying the orbital evolution of the spacecraft perturbed by a third body in an elliptical orbit. The region of inclination above the critical value of the third-body perturbation (around 63∘) is studied, since below that value the orbits survive for a long time. The influence of the eccentricity of the primaries is also investigated, assuming a hypothetical system that has the same mass parameter and sizes of the Earth–Moon system, but the eccentricity can be in the range 0.0–0.2.
publishDate 2016
dc.date.none.fl_str_mv 2016-10-01
2018-12-11T17:29:45Z
2018-12-11T17:29:45Z
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/s40314-015-0258-8
Computational and Applied Mathematics, v. 35, n. 3, p. 653-661, 2016.
1807-0302
0101-8205
http://hdl.handle.net/11449/178316
10.1007/s40314-015-0258-8
2-s2.0-84989872281
2-s2.0-84989872281.pdf
url http://dx.doi.org/10.1007/s40314-015-0258-8
http://hdl.handle.net/11449/178316
identifier_str_mv Computational and Applied Mathematics, v. 35, n. 3, p. 653-661, 2016.
1807-0302
0101-8205
10.1007/s40314-015-0258-8
2-s2.0-84989872281
2-s2.0-84989872281.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational and Applied Mathematics
0,272
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 653-661
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
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