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Using the theory of functional connections to create periodic orbits with a linear variable thrust

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Autor(es):
de Almeida Junior, Allan Kardec ; Prado, Antonio F. B. A. ; Mortari, Daniele
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: NEW ASTRONOMY; v. 104, p. 13-pg., 2023-06-14.
Resumo

This paper shows that the Theory of Functional Connections (TFC) can be used to find the thrust (given by a sub-optimal linear control law) required to create and maintain periodic orbits, like resonant orbits with the rotation of the Earth. Thus, the satellite will be located at the same position in the sky over the surface of the Earth every day, despite the perturbations. This facilitates the predictions of its motion and, thus, its tracking. The perturbations considered are: the J2 term of the Earth's gravitational potential and the gravitational presence of the Sun and the Moon. The proposed approach is applied to two distinct periodic orbits. The first is an 8 h periodic orbit while the second is a 24 h geosynchronous periodic orbit. The fuel costs to maintain periodicity are evaluated and compared with other two methods: in the first method the perturbations are perfectly canceled by a variable thrust and in the second method a two-impulsive maneuver is applied as also obtained using TFC. Comparisons with the other two methods show that the one proposed in this paper can be used to lower the fuel costs. (AU)

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
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