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

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Author(s):
Sampaio, Jarbas Cordeiro ; de Moraes, Rodolpho Vilhena ; Fernandes, Sandro da Silva
Total Authors: 3
Document type: Journal article
Source: MATHEMATICAL PROBLEMS IN ENGINEERING; v. 2012, p. 22-pg., 2012-01-01.
Abstract

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)

FAPESP's process: 06/04997-6 - Close approach problems in orbital dynamics
Grantee:Rodolpho Vilhena de Moraes
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 09/00735-5 - Orbital motion of artificial satellites: resonant effects
Grantee:Jarbas Cordeiro Sampaio
Support Opportunities: Scholarships in Brazil - Doctorate