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On the spin-orbit phase-space of an artificial satellite

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Autor(es):
Winter, Othon C. ; Pinheiro, Tiago F. L. L. ; Ramon, Giovana ; Pereira, Lucas S. ; Callegari, Nelson
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: European Physical Journal-Special Topics; v. N/A, p. 12-pg., 2025-08-23.
Resumo

Artificial satellites are usually in a spin-orbit synchronous state, keeping the same face pointed towards the Earth. In this work, we study the spin-orbit dynamics of an elongated satellite under the gravitational attraction of the Earth, without any kind of altitude control. The shape of the satellite is characterized by the asphericity parameter omega = root 3(B-A)/C, where A < B < C are the principal moments of inertia. Using the Poincare<acute accent> surface of section technique, we explore the spin-orbit phase space of the satellite for two representative values of omega. The orbital eccentricity is a crucial parameter in such a study. Then, the dynamics is explored for a range of eccentricity values. The location and size of the main spin-orbit resonances are identified. We pay special attention to the 1:1 synchronous spin-orbit resonance. The periodic orbit associated to the 1:1 resonance bifurcates at a critical value of omega, and an analytical model is capable of reproducing its topological evolution. For practical purposes, there is a limiting amplitude of oscillation of the satellite that meets the mission requirements for synchronous behavior. To exemplify this, a case is assumed in which the satellite must remain pointing to the Earth's surface. For a wide range of omega, the maximum eccentricity is estimated as a function of the satellite altitude, and an analysis of the parameters that would be compatible with such mission requirements is presented. (AU)

Processo FAPESP: 24/20150-1 - Formação e evolução de estruturas de anéis ao redor de pequenos corpos do sistema solar: aplicação a Centauros.
Beneficiário:Giovana Ramon Luiz Neto
Modalidade de apoio: Bolsas no Brasil - 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: 25/02325-1 - Ressonâncias Orbitais e Rotacionais em Sistemas de Satélites Naturais e Sistemas Planetários
Beneficiário:Nelson Callegari Júnior
Modalidade de apoio: Auxílio à Pesquisa - Regular