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

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Abstract

The equilibrium points of the relativistic restricted three-body problem are considered. The stability of the triangular points is determined and contrary to recent results of other authors a region of linear stability in the parameter space is obtained. The positions of the collinear points are approximated by series by expansions and their stability is similarly determined. It is found that these are always unstable.

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Authors and Affiliations

  1. Department of Engineering Sciences, University of Patras, Greece

    C.N. Douskos & E.A. Perdios

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  1. C.N. Douskos
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  2. E.A. Perdios
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Douskos, C., Perdios, E. On the Stability of Equilibrium Points in the Relativistic Restricted Three-Body Problem. Celestial Mechanics and Dynamical Astronomy 82, 317–321 (2002). https://doi.org/10.1023/A:1015296327786

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  • DOI: https://doi.org/10.1023/A:1015296327786

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