Fast 2-impulse non-Keplerian orbit transfer using the Theory of Functional Connections

Autor(es)

de Almeida Junior, Allan K. ^{[1, 2]} ; Johnston, Hunter ^[2] ; Leake, Carl ^[2] ; Mortari, Daniele ^[2]

Afiliação do(s) autor(es)

^[1] INPE Natl Inst Space Res, Sao Jose Dos Campos, SP - Brazil

^[2] Texas A&M Univ, Aerosp Engn, College Stn, TX 77843 - USA

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL PLUS; v. 136, n. 2 FEB 17 2021.
• Citações Web of Science: 1

Resumo

This study applies a new approach, the Theory of Functional Connections (TFC), to solve the two-point boundary-value problem (TPBVP) in non-Keplerian orbit transfer. The perturbations considered are drag, solar radiation pressure, higher-order gravitational potential harmonic terms, and multiple bodies. The proposed approach is applied to Earth-to-Moon transfers and obtains exact boundary condition satisfaction and with very fast convergence. Thanks to this highly efficient approach, perturbed pork-chop plots of Earth-to-Moon transfers are generated, and individual analyses on the transfers' parameters are easily done at low computational costs. The minimum fuel analysis is provided in terms of the time of flight, thrust application points, and relative geometry of the Moon and Sun. The transfer costs obtained are in agreement with the literature's best solutions and in some cases are even slightly better. (AU)

• Processo FAPESP: 18/07377-6 - Movimento de veículos espaciais em torno de pontos de equilíbrio artificiais
• Beneficiário: Allan Kardec de Almeida Junior
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 16/24561-0 - A relevância dos pequenos corpos em dinâmica orbital
• Beneficiário: Othon Cabo Winter
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/18480-5 - Soluções para o movimento em torno de pontos de equilíbrio artificiais
• Beneficiário: Allan Kardec de Almeida Junior
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado