Analytical and Semi‐Analytical Treatment of the Satellite Motion in a Resisting Medium

S. E. Abd El-Bar and F. A. Abd El-Salam

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/489849

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:489849

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