A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS

Detalhes bibliográficos
Autor(a) principal: Fernandes, Sandro da Silva
Data de Publicação: 2018
Outros Autores: Carvalho, Francisco das Chagas, Romão, João Victor Bateli [UNIFESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNIFESP
Texto Completo: https://repositorio.unifesp.br/handle/11600/55719
http://www.astroscu.unam.mx/rmaa/RMxAA..54-1/PDF/RMxAA..54-1_sdasilva-VIII.pdf
Resumo: A numerical-analytical procedure based on infinitesimal canonical transformations is developed for computing optimal time-fixed low-thrust limited power transfers (no rendezvous) between coplanar orbits with small eccentricities in an inverse-square force field. The optimization problem is formulated as a Mayer problem with a set of non-singular orbital elements as state variables. Second order terms in eccentricity are considered in the development of the maximum Hamiltonian describing the optimal trajectories. The two-point boundary value problem of going from an initial orbit to a final orbit is solved by means of a two-stage Newton-Raphson algorithm which uses an infinitesimal canonical transformation. Numerical results are presented for some transfers between circular orbits with moderate radius ratio, including a preliminary analysis of Earth-Mars and Earth-Venus missions.
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spelling Fernandes, Sandro da SilvaCarvalho, Francisco das ChagasRomão, João Victor Bateli [UNIFESP]2020-07-20T16:31:07Z2020-07-20T16:31:07Z2018Revista Mexicana De Astronomia Y Astrofisica. Mexico City, v. 54, n. 1, p. 111-128, 2018.0185-1101https://repositorio.unifesp.br/handle/11600/55719http://www.astroscu.unam.mx/rmaa/RMxAA..54-1/PDF/RMxAA..54-1_sdasilva-VIII.pdfWOS:000429617900008A numerical-analytical procedure based on infinitesimal canonical transformations is developed for computing optimal time-fixed low-thrust limited power transfers (no rendezvous) between coplanar orbits with small eccentricities in an inverse-square force field. The optimization problem is formulated as a Mayer problem with a set of non-singular orbital elements as state variables. Second order terms in eccentricity are considered in the development of the maximum Hamiltonian describing the optimal trajectories. The two-point boundary value problem of going from an initial orbit to a final orbit is solved by means of a two-stage Newton-Raphson algorithm which uses an infinitesimal canonical transformation. Numerical results are presented for some transfers between circular orbits with moderate radius ratio, including a preliminary analysis of Earth-Mars and Earth-Venus missions.CNPqFAPESPInst Tecnol Aeronaut, Dept Matemat, Sao Jose Dos Campos, BrazilUniv Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Paulo, BrazilUniv Fed Sao Paulo, Inst Ciencia & Tecnol, Sao Paulo, BrazilCNPq: 304913/2013-8FAPESP: 2012/21023-6Web of Science111-128engUniv Nacional Autonoma Mexico, Inst De AstronomiaRevista Mexicana De Astronomia Y Astrofisicacelestial mechanicsmethods: analyticalmethods: numericalA NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERSinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleMexico Cityv. 541info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESP11600/557192021-09-29 09:32:52.437metadata only accessoai:repositorio.unifesp.br:11600/55719Repositório InstitucionalPUBhttp://www.repositorio.unifesp.br/oai/requestopendoar:34652021-09-29T12:32:52Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)false
dc.title.en.fl_str_mv A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
title A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
spellingShingle A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
Fernandes, Sandro da Silva
celestial mechanics
methods: analytical
methods: numerical
title_short A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
title_full A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
title_fullStr A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
title_full_unstemmed A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
title_sort A NUMERICAL-ANALYTICAL APPROACH BASED ON CANONICAL TRANSFORMATIONS FOR COMPUTING OPTIMAL LOW-THRUST TRANSFERS
author Fernandes, Sandro da Silva
author_facet Fernandes, Sandro da Silva
Carvalho, Francisco das Chagas
Romão, João Victor Bateli [UNIFESP]
author_role author
author2 Carvalho, Francisco das Chagas
Romão, João Victor Bateli [UNIFESP]
author2_role author
author
dc.contributor.author.fl_str_mv Fernandes, Sandro da Silva
Carvalho, Francisco das Chagas
Romão, João Victor Bateli [UNIFESP]
dc.subject.eng.fl_str_mv celestial mechanics
methods: analytical
methods: numerical
topic celestial mechanics
methods: analytical
methods: numerical
description A numerical-analytical procedure based on infinitesimal canonical transformations is developed for computing optimal time-fixed low-thrust limited power transfers (no rendezvous) between coplanar orbits with small eccentricities in an inverse-square force field. The optimization problem is formulated as a Mayer problem with a set of non-singular orbital elements as state variables. Second order terms in eccentricity are considered in the development of the maximum Hamiltonian describing the optimal trajectories. The two-point boundary value problem of going from an initial orbit to a final orbit is solved by means of a two-stage Newton-Raphson algorithm which uses an infinitesimal canonical transformation. Numerical results are presented for some transfers between circular orbits with moderate radius ratio, including a preliminary analysis of Earth-Mars and Earth-Venus missions.
publishDate 2018
dc.date.issued.fl_str_mv 2018
dc.date.accessioned.fl_str_mv 2020-07-20T16:31:07Z
dc.date.available.fl_str_mv 2020-07-20T16:31:07Z
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.citation.fl_str_mv Revista Mexicana De Astronomia Y Astrofisica. Mexico City, v. 54, n. 1, p. 111-128, 2018.
dc.identifier.uri.fl_str_mv https://repositorio.unifesp.br/handle/11600/55719
http://www.astroscu.unam.mx/rmaa/RMxAA..54-1/PDF/RMxAA..54-1_sdasilva-VIII.pdf
dc.identifier.issn.none.fl_str_mv 0185-1101
dc.identifier.wos.none.fl_str_mv WOS:000429617900008
identifier_str_mv Revista Mexicana De Astronomia Y Astrofisica. Mexico City, v. 54, n. 1, p. 111-128, 2018.
0185-1101
WOS:000429617900008
url https://repositorio.unifesp.br/handle/11600/55719
http://www.astroscu.unam.mx/rmaa/RMxAA..54-1/PDF/RMxAA..54-1_sdasilva-VIII.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Revista Mexicana De Astronomia Y Astrofisica
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 111-128
dc.coverage.none.fl_str_mv Mexico City
dc.publisher.none.fl_str_mv Univ Nacional Autonoma Mexico, Inst De Astronomia
publisher.none.fl_str_mv Univ Nacional Autonoma Mexico, Inst De Astronomia
dc.source.none.fl_str_mv reponame:Repositório Institucional da UNIFESP
instname:Universidade Federal de São Paulo (UNIFESP)
instacron:UNIFESP
instname_str Universidade Federal de São Paulo (UNIFESP)
instacron_str UNIFESP
institution UNIFESP
reponame_str Repositório Institucional da UNIFESP
collection Repositório Institucional da UNIFESP
repository.name.fl_str_mv Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)
repository.mail.fl_str_mv
_version_ 1802764174842920960

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