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Minimum fuel trajectories for round trip lunar missions

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Autor(es):
Gagg Filho, Luiz Arthur [1] ; Fernandes, Sandro da Silva [1]
Número total de Autores: 2
Afiliação do(s) autor(es):
[1] Inst Tecnol Aeronaut, Dept Matemat, BR-12228900 Sao Jose Dos Campos, SP - Brazil
Número total de Afiliações: 1
Tipo de documento: Artigo Científico
Fonte: COMPUTATIONAL & APPLIED MATHEMATICS; v. 37, n. 3, p. 3608-3656, JUL 2018.
Citações Web of Science: 0
Resumo

In this work, a study about minimum fuel trajectories in a round trip journey to the Moon is presented. It is assumed that the velocity changes are instantaneous, that is, the propulsion system is capable of delivering impulses such that the fuel consumption is represented by the total velocity increment applied to the space vehicle. It is also assumed that the velocity increments are applied tangentially to the terminal orbits, and, the outgoing trip and the return trip are analyzed separately such that the whole mission is performed with four impulses (two impulses in each trip). The mathematical models used to describe the motion of the space vehicle are three: the lunar patched-conic approximation; the classic planar circular restricted three-body problem, and, the planar bi-circular restricted four-body problem (PBR4BP). For computing the optimal trajectories, the Sequential Gradient-Restoration Algorithm with constraints is used. The influence of the Sun on round trip lunar missions is analyzed through the PBR4BP model. For all models, the trajectories studied are direct ascent maneuvers, and, both the outgoing and return trips are considered. The results obtained through the different models are compared with each other. The optimal results for the PBR4BP model show that a small reduction of the fuel consumption can be achieved if the initial phase angle of the Sun is chosen properly. (AU)

Processo FAPESP: 12/25308-5 - Determinação de trajetórias ótimas na dinâmica do problema restrito de três ou quatro corpos
Beneficiário:Luiz Arthur Gagg Filho
Linha de fomento: Bolsas no Brasil - Doutorado
Processo FAPESP: 12/21023-6 - Dinâmica de satélites artificiais
Beneficiário:Rodolpho Vilhena de Moraes
Linha de fomento: Auxílio à Pesquisa - Temático