, Volume 12, Issue 1, pp 183-206

Central Configurations in the Schwarzschild Three Body Problem

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Abstract

In this paper we find some families of central configurations for the Schwarzschild three body problem. Since in this case the potential is the sum of two homogeneous functions, the total number of the central configurations depend of the size of the system measured by the moment of inertia. Depending of the values of the masses and the sign of the constants which appear in the equations of motion, we find the bifurcation values for our families in terms of the moment of inertia.

We thank to the anonymous referee for his useful comments that help us to improve this paper.