The orbital dynamics of synchronous satellites: irregular motions in the 2 : 1 resonance
type: Item
instance of: scholarly article
title: The orbital dynamics of synchronous satellites: irregular motions in the 2 : 1 resonance
zbMATH Open document ID: 1264.70057
DOI: 10.1155/2012/405870
author: Jarbas Cordeiro Sampaio
author: R. Vilhena de Moraes
author: Sandro da Silva Fernandes
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 70M20
zbMATH DE Number: 6173260
Wikidata QID: Q58911538
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/405870
OpenAlex ID: W2043822598
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description: scientific article; zbMATH DE number 6173260