Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Tipo de documento: | Dissertação |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.6/10623 |
Resumo: | As the interest in interplanetary missions is rising, new trajectories and methods should be studied and analyzed to decrease the costs and increase the capacity of transporting scientific instruments and payload to Mars. In this work, a numerical study of interplanetary trajectories between Earth and Mars is performed, using the Moon to carry out a lunar gravity assist manoeuvre, with the objective of decreasing the launch energy for the interplanetary transfer and analyze the use of the self-adaptive Levenberg-Marquardt algorithm as a differential corrector for space mission design. The obtained results are compared with the values of the direct transfer achieved with the same methods and with the estimated values for the next interplanetary transfer Windows between Earth and Mars. The results are obtained with the astrodynamics two body problem simplistic model and verified and validated with the open source NASA’s software GMAT for a more realistic approach. The self-adaptive Levenberg-Marquardt algorithm developed for this work in the programming language Python 3.6 is tested and used as a differential corrector to obtain the trajectories for the two-body problem. The results demonstrate that the self-adaptive Levenberg-Marquardt algorithm is adequate to design space missions, a lunar gravity assist can be executed in all situations studied and only in a few cases is not viable. Of the four launch windows analyzed only in one situation the lunar gravity assist does not diminish the launch energy. The results show that the energy needed to perform future Mars missions or missions to other Solar System bodies can be reduced and consequently the payload mass can be increased. The possible introduction of a new calculation method for space mission design is also shown due to the observed results. |
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Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt AlgorithmAssistência GravitacionalMarteSelf-Adaptive Levenberg-MarquardtTransferência InterplanetáriaDomínio/Área Científica::Engenharia e Tecnologia::Engenharia AeronáuticaAs the interest in interplanetary missions is rising, new trajectories and methods should be studied and analyzed to decrease the costs and increase the capacity of transporting scientific instruments and payload to Mars. In this work, a numerical study of interplanetary trajectories between Earth and Mars is performed, using the Moon to carry out a lunar gravity assist manoeuvre, with the objective of decreasing the launch energy for the interplanetary transfer and analyze the use of the self-adaptive Levenberg-Marquardt algorithm as a differential corrector for space mission design. The obtained results are compared with the values of the direct transfer achieved with the same methods and with the estimated values for the next interplanetary transfer Windows between Earth and Mars. The results are obtained with the astrodynamics two body problem simplistic model and verified and validated with the open source NASA’s software GMAT for a more realistic approach. The self-adaptive Levenberg-Marquardt algorithm developed for this work in the programming language Python 3.6 is tested and used as a differential corrector to obtain the trajectories for the two-body problem. The results demonstrate that the self-adaptive Levenberg-Marquardt algorithm is adequate to design space missions, a lunar gravity assist can be executed in all situations studied and only in a few cases is not viable. Of the four launch windows analyzed only in one situation the lunar gravity assist does not diminish the launch energy. The results show that the energy needed to perform future Mars missions or missions to other Solar System bodies can be reduced and consequently the payload mass can be increased. The possible introduction of a new calculation method for space mission design is also shown due to the observed results.Com o aumento do interesse em missões interplanetárias, novas trajetórias e métodos devem ser estudados e analisados de maneira a diminuir os custos e aumentar a capacidade de transportar instrumentação científica. Neste trabalho, é realizado um estudo numérico de trajetórias interplanetárias entre a Terra e Marte, utilizando a Lua para efetuar uma manobra de assistência gravitacional, com os objetivos de diminuir a energia necessária para a transferência interplanetária e testar e analisar o uso do algoritmo self-adaptive Levenberg-Marquardt como corretor diferencial para o desenho de missões espaciais. Os resultados obtidos são comparados com valores de transferência direta alcançados com os mesmos métodos e com os valores estimados para as próximas oportunidades de transferência interplanetária entre Terra e Marte. São obtidos resultados com o problema de dois corpos de astrodinâmica e verificados e validados com o software aberto GMAT desenvolvido pela NASA para uma abordagem mais realista. O algoritmo self-adaptive Levenberg-Marquardt desenvolvido para este trabalho na linguagem de programação Python 3.6 é testado e utilizado como corretor diferencial para obter as trajetórias para o problema de dois corpos. Os resultados demonstram que o algoritmo self-adaptive Levenberg-Marquardt é adequado para planear missões, que a assistência gravitacional lunar pode ser executada em todas as situações estudadas e que apenas em poucas ocorrências não é viável. Das 4 oportunidades de lançamento analisadas apenas em uma situação a assistência gravitacional lunar não diminuiu a energia de lançamento. Os resultados indicam que a energia necessária para efetuar futuras missões a Marte ou a outros corpos do sistema solar pode ser reduzida e consequentemente a massa de carga útil nestas missões pode ser aumentada. A possível introdução de um novo método de cálculo para desenhar missões espaciais também é demonstrado através dos resultados obtidosBousson, KouamanauBibliorumRosa, Flávio Daniel Dias2020-12-14T14:12:53Z2020-02-032019-12-192020-02-03T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://hdl.handle.net/10400.6/10623TID:202547248enginfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:52:33Zoai:ubibliorum.ubi.pt:10400.6/10623Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:50:32.337946Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm |
title |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm |
spellingShingle |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm Rosa, Flávio Daniel Dias Assistência Gravitacional Marte Self-Adaptive Levenberg-Marquardt Transferência Interplanetária Domínio/Área Científica::Engenharia e Tecnologia::Engenharia Aeronáutica |
title_short |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm |
title_full |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm |
title_fullStr |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm |
title_full_unstemmed |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm |
title_sort |
Earth-Mars trajectories with lunar gravity assist study using the self-adaptive Levenberg-Marquardt Algorithm |
author |
Rosa, Flávio Daniel Dias |
author_facet |
Rosa, Flávio Daniel Dias |
author_role |
author |
dc.contributor.none.fl_str_mv |
Bousson, Kouamana uBibliorum |
dc.contributor.author.fl_str_mv |
Rosa, Flávio Daniel Dias |
dc.subject.por.fl_str_mv |
Assistência Gravitacional Marte Self-Adaptive Levenberg-Marquardt Transferência Interplanetária Domínio/Área Científica::Engenharia e Tecnologia::Engenharia Aeronáutica |
topic |
Assistência Gravitacional Marte Self-Adaptive Levenberg-Marquardt Transferência Interplanetária Domínio/Área Científica::Engenharia e Tecnologia::Engenharia Aeronáutica |
description |
As the interest in interplanetary missions is rising, new trajectories and methods should be studied and analyzed to decrease the costs and increase the capacity of transporting scientific instruments and payload to Mars. In this work, a numerical study of interplanetary trajectories between Earth and Mars is performed, using the Moon to carry out a lunar gravity assist manoeuvre, with the objective of decreasing the launch energy for the interplanetary transfer and analyze the use of the self-adaptive Levenberg-Marquardt algorithm as a differential corrector for space mission design. The obtained results are compared with the values of the direct transfer achieved with the same methods and with the estimated values for the next interplanetary transfer Windows between Earth and Mars. The results are obtained with the astrodynamics two body problem simplistic model and verified and validated with the open source NASA’s software GMAT for a more realistic approach. The self-adaptive Levenberg-Marquardt algorithm developed for this work in the programming language Python 3.6 is tested and used as a differential corrector to obtain the trajectories for the two-body problem. The results demonstrate that the self-adaptive Levenberg-Marquardt algorithm is adequate to design space missions, a lunar gravity assist can be executed in all situations studied and only in a few cases is not viable. Of the four launch windows analyzed only in one situation the lunar gravity assist does not diminish the launch energy. The results show that the energy needed to perform future Mars missions or missions to other Solar System bodies can be reduced and consequently the payload mass can be increased. The possible introduction of a new calculation method for space mission design is also shown due to the observed results. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-12-19 2020-12-14T14:12:53Z 2020-02-03 2020-02-03T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.6/10623 TID:202547248 |
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http://hdl.handle.net/10400.6/10623 |
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TID:202547248 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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