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Research Article Open Access

On the Stability of the Triangular Lagrangian Equilibrium Points in the Relativistic Restricted Three-Body Problem

M. K. Ahmed, F.A. Abd El-Salam and S.E. Abd El-Bar

Abstract

The restricted three body problem is treated in the framework of the post-Newtonian approximation of general relativity. The equations of motion are linear zed around the libration points L4,5. Locations of the equilibrium points L4,5 are obtained. Existence and stability of these points are investigated. The relativistic correction to the classical mass ratio is determined.

American Journal of Applied Sciences
Volume 3 No. 9, 2006, 1993-1998

DOI: https://doi.org/10.3844/ajassp.2006.1993.1998

Submitted On: 8 July 2006 Published On: 30 September 2006

How to Cite: Ahmed, M. K., El-Salam, F. A. & El-Bar, S. A. (2006). On the Stability of the Triangular Lagrangian Equilibrium Points in the Relativistic Restricted Three-Body Problem . American Journal of Applied Sciences, 3(9), 1993-1998. https://doi.org/10.3844/ajassp.2006.1993.1998

Open AccessCopyright: © 2006 M. K. Ahmed, F.A. Abd El-Salam and S.E. Abd El-Bar. 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

  • Relativistic RTBP
  • Libration points
  • Stability