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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Sampaio, Jarbas Cordeiro [1] ; de Moraes, Rodolpho Vilhena [2] ; Fernandes, Sandro da Silva [3]
Total Authors: 3
Affiliation:
[1] Univ Estadual Paulista, Dept Matemat, BR-12516410 Guaratingueta, SP - Brazil
[2] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, BR-12231280 Sao Jose Dos Campos, SP - Brazil
[3] ITA, Dept Matemat, BR-12228900 Sao Jose Dos Campos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: MATHEMATICAL PROBLEMS IN ENGINEERING; 2012.
Web of Science Citations: 4
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 type: Research Projects - Thematic Grants
FAPESP's process: 09/00735-5 - Orbital motion of artificial satellites: resonant effects
Grantee:Jarbas Cordeiro Sampaio
Support type: Scholarships in Brazil - Doctorate