Analytical Effects of Gravitational Waves on the Motion of an Artificial Satellite
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.
KeywordsGravitational Wave Gravitational Potential Orbital Element Canonical Transformation Order Solution
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- Youssef, M.:1994, The effect of Gravitational Waves on the Motion of Artificial Satellites, Ph.D. thesis, Astronomy Dept., Cairo University, Egypt.Google Scholar