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

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

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.

Suggested Citation

  • S. E. Abd El-Bar & F. A. Abd El-Salam, 2012. "Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-18, February.
    • Handle: RePEc:hin:jnljam:489849
    DOI: 10.1155/2012/489849
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