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Analytical Effects of Gravitational Waves on the Motion of an Artificial Satellite

Published online by Cambridge University Press:  12 April 2016

M.H. Youssef  and
M.K. Ahmed
M.H. Youssef
Affiliation:
Astronomy Department, Faculty of Science Cairo, Egypt
M.K. Ahmed
Affiliation:
Astronomy Department, Faculty of Science Cairo, Egypt

Abstract

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The motion of an artificial satellite in the Earth’s gravitational field is discussed in the post-Newtonian framework including the effect of weak gravitation waves using the perturbation technique of the canonical Lie-transformations. Two successive canonical transformations are used to derive analytical expressions for the short-period, long-period and secular perturbations of orbital elements. The solution is expressed in terms of the Delaunay variables.

Type
Theory of Motion
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 431 - 436
Copyright
Copyright © Kluwer 1997

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