American Journal of Applied Sciences

Resonance Caused by the Gravitational waves On an Earth Satellite

Mohamad Radwan

DOI : 10.3844/ajassp.2008.1296.1299

American Journal of Applied Sciences

Volume 5, Issue 10

Pages 1296-1299


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.


© 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.