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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

A Study of Single- and Double-Averaged Second-Order Models to Evaluate Third-Body Perturbation Considering Elliptic Orbits for the Perturbing Body

Texto completo
Autor(es):
Domingos, R. C. [1] ; Bertachini de Almeida Prado, A. F. [1] ; de Moraes, R. Vilhena [2]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Inst Nacl Pesquisas Espaciais, BR-12227010 Sao Jose Dos Campos, SP - Brazil
[2] Univ Fed Sao Paulo UNIFESP, BR-12231280 Sao Jose Dos Campos, SP - Brazil
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: MATHEMATICAL PROBLEMS IN ENGINEERING; 2013.
Citações Web of Science: 7
Resumo

The equations for the variations of the Keplerian elements of the orbit of a spacecraft perturbed by a third body are developed using a single average over the motion of the spacecraft, considering an elliptic orbit for the disturbing body. A comparison is made between this approach and the more used double averaged technique, as well as with the full elliptic restricted three-body problem. The disturbing function is expanded in Legendre polynomials up to the second order in both cases. The equations of motion are obtained from the planetary equations, and several numerical simulations are made to show the evolution of the orbit of the spacecraft. Some characteristics known from the circular perturbing body are studied: circular, elliptic equatorial, and frozen orbits. Different initial eccentricities for the perturbed body are considered, since the effect of this variable is one of the goals of the present study. The results show the impact of this parameter as well as the differences between both models compared to the full elliptic restricted three-body problem. Regions below, near, and above the critical angle of the third-body perturbation are considered, as well as different altitudes for the orbit of the spacecraft. (AU)

Processo FAPESP: 11/08171-3 - Dinâmica orbital de pequenos corpos
Beneficiário:Othon Cabo Winter
Linha de fomento: Auxílio à Pesquisa - Temático
Processo FAPESP: 11/09310-7 - Estudo orbital do movimento de veículos espaciais
Beneficiário:Antônio Fernando Bertachini de Almeida Prado
Linha de fomento: Auxílio à Pesquisa - Regular