The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance

Autor(es)

Sampaio, Jarbas Cordeiro ; de Moraes, Rodolpho Vilhena ; Fernandes, Sandro da Silva

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICAL PROBLEMS IN ENGINEERING; v. 2012, p. 22-pg., 2012-01-01.

Resumo

The orbital dynamics of synchronous satellites is studied. The 2:1 resonance is considered; in other words, the satellite completes two revolutions while the Earth completes one. In the development of the geopotential, the zonal harmonics J(20) and J(40) and the tesseral harmonics J(22) and J(42) are considered. The order of the dynamical system is reduced through successive Mathieu transformations, and the final system is solved by numerical integration. The Lyapunov exponents are used as tool to analyze the chaotic orbits. (AU)

• Processo FAPESP: 06/04997-6 - Encontros próximos em dinâmica orbital
• Beneficiário: Rodolpho Vilhena de Moraes
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 09/00735-5 - Movimento orbital de satélites artificiais: efeitos ressonantes
• Beneficiário: Jarbas Cordeiro Sampaio
• Modalidade de apoio: Bolsas no Brasil - Doutorado