Study of the dynamics around celestial bodies using analytical and semi-analytical techniques

Detalhes bibliográficos
Autor(a) principal: Cardoso dos Santos, Josué
Data de Publicação: 2018
Tipo de documento: Tese
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/181670
Resumo: Nowadays, despite the technological development experienced by science in general, a fact especially evident by the available powerful computer machines, the analytical and semi-analytical methods to study different space problems are still of great importance in the fields of astrodynamics and celestial mechanics. From the physical understanding of the motion of celestial bodies to the planing and designing of space missions, the use of mathematical models to deal with a very large number of contemporary problems plays a fundamental role in the progress of human knowledge. In this context, the present thesis presents the use of different mathematical techniques to deal with different various and current problems in astrodynamics and celestial mechanics. The studies developed throughout this work are applicable to both areas. The topics studied are the following ones: (1) The development of disturbing potentials using the double-averaging process, in order to be included in the Lagrange planetary which are numerically integrated to study features of orbits around Mercury and the Galilean moon Callisto; (2) The use of different perturbation integrals, techniques to identify and map different perturbations present in a planetary system, with focus on the analysis of systems of Giant planets with their massive moons; (3) The use of the concept of intermediary Hamiltonian and the use of a canonical transformation called elimination of the parallax, both to deal with binary systems in the context of the roto-orbital dynamics, this one as an approach of the fulltwo body problem; (4) An updated analysis of Gauss variational equations to study quasisatellite orbits around the Martian moon Phobos and with analytical predictions made after obtaining linear and averaged equations of motions. Therefore, this thesis intend not only to provide important analysis and results for each specific problem which it deals with along its pages, but also seeks to highlighting the merit and current relevance of different analytical and semi-analytical methods to be used in the fields of astrodynamics and celestial mechanics. Additionally, the author also hopes to offer an outcome of diverse interesting ideas and methods to be explored in future investigations in these research fields.
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spelling Study of the dynamics around celestial bodies using analytical and semi-analytical techniquesEstudo da dinâmica ao redor de corpos celestes utilizando técnicas analíticas e semianalíticasAnalytical and semi-analytical methodsPerturbation theoryMétodos analíticos e semianalíticosTeoria de PerturbaçãoDinâmica orbitalDinâmica rotacionalMissões espaciaisÓrbitas quasi-satéliteSistemas bináriosAstronomiaOrbital dynamicsRotational dynamicsSpace missionsQuasi-satellite orbitsBinary systemsNowadays, despite the technological development experienced by science in general, a fact especially evident by the available powerful computer machines, the analytical and semi-analytical methods to study different space problems are still of great importance in the fields of astrodynamics and celestial mechanics. From the physical understanding of the motion of celestial bodies to the planing and designing of space missions, the use of mathematical models to deal with a very large number of contemporary problems plays a fundamental role in the progress of human knowledge. In this context, the present thesis presents the use of different mathematical techniques to deal with different various and current problems in astrodynamics and celestial mechanics. The studies developed throughout this work are applicable to both areas. The topics studied are the following ones: (1) The development of disturbing potentials using the double-averaging process, in order to be included in the Lagrange planetary which are numerically integrated to study features of orbits around Mercury and the Galilean moon Callisto; (2) The use of different perturbation integrals, techniques to identify and map different perturbations present in a planetary system, with focus on the analysis of systems of Giant planets with their massive moons; (3) The use of the concept of intermediary Hamiltonian and the use of a canonical transformation called elimination of the parallax, both to deal with binary systems in the context of the roto-orbital dynamics, this one as an approach of the fulltwo body problem; (4) An updated analysis of Gauss variational equations to study quasisatellite orbits around the Martian moon Phobos and with analytical predictions made after obtaining linear and averaged equations of motions. Therefore, this thesis intend not only to provide important analysis and results for each specific problem which it deals with along its pages, but also seeks to highlighting the merit and current relevance of different analytical and semi-analytical methods to be used in the fields of astrodynamics and celestial mechanics. Additionally, the author also hopes to offer an outcome of diverse interesting ideas and methods to be explored in future investigations in these research fields.Na atualidade, a despeito do desenvolvimento tecnológico experimentado pela ciência em geral, algo especialmente evidenciado por poderosas máquinas computacionais disponíveis, os métodos analíticos e semianalíticos para o estudo de diferentes problemas espaciais ainda são de grande importância nos campos de astrodinâmica e mecânica celeste. Desde a compreensão física do movimento de corpos celestes até ao planejamento e projeto de missões espaciais, o uso de modelos matemáticos para lidar com um grande número de problemas contemporâneos desempenha um papel fundamental no progresso do conhecimento humano. Neste contexto, a presente tese apresenta o uso de diferentes técnicas matemáticas para lidar com diversos e atuais problemas em astrodinâmica e mecânica celeste. Os estudos desenvolvidos ao longo deste trabalho são aplicáveis à ambas as áreas. Os tópicos estudados são os seguintes: (1) O desenvolvimento de potenciais perturbadores usando o processo de dupla média, de forma a serem incluídos nas equações planetárias de Lagrange que são integradas numericamente para estudar características de órbitas ao redor de Mercúrio e da lua galileana Calisto; (2) A utilização de diferentes integrais de perturbação, técnicas para identificar e mapear diferentes perturbações presentes em um sistema planetário, com foco na análise de sistemas de planetas gigantes com suas luas massivas; (3) A utilização do conceito de hamiltoniana intermediária e o uso de uma transformação canônica chamada eliminação da paralaxe, ambos para lidar com sistemas binários no contexto da dinâmica roto-orbital, essa sendo uma aproximação do problema completo de dois corpos; (3) Uma análise atualizada de equações variacionais de Gauss para o estudo de órbitas quasi-satélite ao redor da lua marciana Fobos e com predições analíticas realizadas após serem obtidas equações de movimento linearizadas e com média. Portanto, esta tese pretende não somente prover importantes análises e resultados para cada problema específico com os quais a mesma lida ao longo de suas páginas, mas também procura destacar o mérito e relevância atual de diferentes métodos analíticos e semianalíticos a serem utilizados nos campos de astrodinâmica e mecânica celeste. Adicionalmente, o autor também espera oferecer um produto de variadas ideias e métodos a serem explorados em futuras investigações nesses campos de pesquisaFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Committee on Space Research - França (COSPAR)2013/26652-42015/18881-9Universidade Estadual Paulista (Unesp)Moraes, Rodolpho Vilhena de [UNESP]Carvalho, Jean Paulo dos Santos [UNESP]Universidade Estadual Paulista (Unesp)Cardoso dos Santos, Josué2018-11-01T17:18:50Z2018-09-10T18:47:05Z2018-11-01T17:18:50Z2018-09-10T18:47:05Z2018-07-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfhttp://hdl.handle.net/11449/18167000090959333004080051P477409171447574100000-0003-1289-8332enginfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESP2024-07-04T14:38:00Zoai:repositorio.unesp.br:11449/181670Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:52:26.968125Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
Estudo da dinâmica ao redor de corpos celestes utilizando técnicas analíticas e semianalíticas
title Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
spellingShingle Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
Cardoso dos Santos, Josué
Analytical and semi-analytical methods
Perturbation theory
Métodos analíticos e semianalíticos
Teoria de Perturbação
Dinâmica orbital
Dinâmica rotacional
Missões espaciais
Órbitas quasi-satélite
Sistemas binários
Astronomia
Orbital dynamics
Rotational dynamics
Space missions
Quasi-satellite orbits
Binary systems
title_short Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
title_full Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
title_fullStr Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
title_full_unstemmed Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
title_sort Study of the dynamics around celestial bodies using analytical and semi-analytical techniques
author Cardoso dos Santos, Josué
author_facet Cardoso dos Santos, Josué
author_role author
dc.contributor.none.fl_str_mv Moraes, Rodolpho Vilhena de [UNESP]
Carvalho, Jean Paulo dos Santos [UNESP]
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Cardoso dos Santos, Josué
dc.subject.por.fl_str_mv Analytical and semi-analytical methods
Perturbation theory
Métodos analíticos e semianalíticos
Teoria de Perturbação
Dinâmica orbital
Dinâmica rotacional
Missões espaciais
Órbitas quasi-satélite
Sistemas binários
Astronomia
Orbital dynamics
Rotational dynamics
Space missions
Quasi-satellite orbits
Binary systems
topic Analytical and semi-analytical methods
Perturbation theory
Métodos analíticos e semianalíticos
Teoria de Perturbação
Dinâmica orbital
Dinâmica rotacional
Missões espaciais
Órbitas quasi-satélite
Sistemas binários
Astronomia
Orbital dynamics
Rotational dynamics
Space missions
Quasi-satellite orbits
Binary systems
description Nowadays, despite the technological development experienced by science in general, a fact especially evident by the available powerful computer machines, the analytical and semi-analytical methods to study different space problems are still of great importance in the fields of astrodynamics and celestial mechanics. From the physical understanding of the motion of celestial bodies to the planing and designing of space missions, the use of mathematical models to deal with a very large number of contemporary problems plays a fundamental role in the progress of human knowledge. In this context, the present thesis presents the use of different mathematical techniques to deal with different various and current problems in astrodynamics and celestial mechanics. The studies developed throughout this work are applicable to both areas. The topics studied are the following ones: (1) The development of disturbing potentials using the double-averaging process, in order to be included in the Lagrange planetary which are numerically integrated to study features of orbits around Mercury and the Galilean moon Callisto; (2) The use of different perturbation integrals, techniques to identify and map different perturbations present in a planetary system, with focus on the analysis of systems of Giant planets with their massive moons; (3) The use of the concept of intermediary Hamiltonian and the use of a canonical transformation called elimination of the parallax, both to deal with binary systems in the context of the roto-orbital dynamics, this one as an approach of the fulltwo body problem; (4) An updated analysis of Gauss variational equations to study quasisatellite orbits around the Martian moon Phobos and with analytical predictions made after obtaining linear and averaged equations of motions. Therefore, this thesis intend not only to provide important analysis and results for each specific problem which it deals with along its pages, but also seeks to highlighting the merit and current relevance of different analytical and semi-analytical methods to be used in the fields of astrodynamics and celestial mechanics. Additionally, the author also hopes to offer an outcome of diverse interesting ideas and methods to be explored in future investigations in these research fields.
publishDate 2018
dc.date.none.fl_str_mv 2018-11-01T17:18:50Z
2018-09-10T18:47:05Z
2018-11-01T17:18:50Z
2018-09-10T18:47:05Z
2018-07-04
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11449/181670
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dc.publisher.none.fl_str_mv Universidade Estadual Paulista (Unesp)
publisher.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.source.none.fl_str_mv reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
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instname_str Universidade Estadual Paulista (UNESP)
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reponame_str Repositório Institucional da UNESP
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repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
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