Analytical and semi-analytical treatment of the satellite motion in a resisting medium
type: Item
instance of: scholarly article
title: Analytical and semi-analytical treatment of the satellite motion in a resisting medium
zbMATH Open document ID: 1235.70013
DOI: 10.1155/2012/489849
author: S. E. Abd El-Bar
author: F. A. Abd El-Salam
published in: Journal of Applied Mathematics
publication date: 2012-04-04T00:00:00Z
review text: Summary: The orbital dynamics of an artificial satellite in the Earth's atmosphere is considered. An analytic first-order atmospheric drag theory is developed using Lagrange's planetary equations. The short periodic perturbations due to the geopotential of all orbital elements are evaluated. And to construct a second-order analytical theory, the equations of motion become very complicated to be integrated analytically; thus we are forced to integrate them numerically using the method of Runge-Kutta of fourth order. The validity of the theory is checked on the already decayed Indian satellite ROHINI where its data are available.
Mathematics Subject Classification ID: 70B15
zbMATH DE Number: 6021697
Wikidata QID: Q58905985
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/489849
OpenAlex ID: W1977411825
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DBLP publication ID: journals/jam/El-BarE12
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description: scientific article; zbMATH DE number 6021697