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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

Resonance Caused by the Gravitational waves On an Earth Satellite

Mohamad Radwan

Abstract

The present work deals with the motion of an Earth satellite taking into account the oblateness of the Earth and of a passing Gravitational wave. The oblateness of the Earth is truncated beyond the second zonal harmonic, J2, which plays the role of the small parameter of the problem. The conditions for resonance are determined and the resonance resulting from the commensurabilities between the wave frequency and the mean motions of the satellite, the nodal regression, and the apsidal rotation are analyzed.

American Journal of Applied Sciences
Volume 5 No. 10, 2008, 1296-1299

DOI: https://doi.org/10.3844/ajassp.2008.1296.1299

Submitted On: 18 August 2007 Published On: 31 October 2008

How to Cite: Radwan, M. (2008). Resonance Caused by the Gravitational waves On an Earth Satellite. American Journal of Applied Sciences, 5(10), 1296-1299. https://doi.org/10.3844/ajassp.2008.1296.1299

Open AccessCopyright: © 2008 Mohamad Radwan. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Gravitational waves
  • earth-satellite
  • earth motion
  • resonance problem