Journal of Applied Mathematics

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

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

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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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 489849, 18 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495030

Digital Object Identifier
doi:10.1155/2012/489849

Mathematical Reviews number (MathSciNet)
MR2880830

Zentralblatt MATH identifier
1235.70013

Citation

Abd El-Bar, S. E.; Abd El-Salam, F. A. Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium. J. Appl. Math. 2012 (2012), Article ID 489849, 18 pages. doi:10.1155/2012/489849. https://projecteuclid.org/euclid.jam/1355495030


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