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, 1-18

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:489849

DOI: 10.1155/2012/489849

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