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

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

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 app...

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Veröffentlicht in:Celestial mechanics and dynamical astronomy 2002-04, Vol.82 (4), p.317-321
Hauptverfasser: Douskos, Cn, Perdios, Ea
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Equilibrium
Mathematical analysis
Studies
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Perdios, Ea
description 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.[PUBLICATION ABSTRACT]
doi_str_mv 10.1023/A:1015296327786
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subjects Equilibrium
Mathematical analysis
Studies
title On the Stability of Equilibrium Points in the Relativistic Restricted Three-Body Problem
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