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

  • M. H. Youssef
  • M. K. Ahmed
Conference paper


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.


Gravitational Wave Gravitational Potential Orbital Element Canonical Transformation Order Solution 
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Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • M. H. Youssef
    • 1
  • M. K. Ahmed
    • 1
  1. 1.Faculty of ScienceAstronomy DepartmentCairoEgypt

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