The Orbital Dynamics of Synchronous Satellites: Irregular Motions in the 2:1 Resonance
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Data
2012-01-01
Autores
Sampaio, Jarbas Cordeiro [UNESP]
de Moraes, Rodolpho Vilhena [UNESP]
Fernandes, Sandro da Silva
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Hindawi Publishing Corporation
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.
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Mathematical Problems In Engineering. New York: Hindawi Publishing Corporation, p. 22, 2012.