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

Details 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

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..82..317d&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 82, Issue 4, p. 317-321 (2002).

Astronomy and Astrophysics

Astronomy

Relativistic Restricted Problem, Equilibrium Points, Stability

Scientific paper

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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