New spatial central configurations in the 5-body problem

Abstract

In this paper we show the existence of new families of convex and concave spatial central configurations for the 5-body problem. The bodies studied here are arranged as follows: three bodies are at the vertices of an equilateral triangle T, and the other two bodies are on the line passing through the barycenter of T that is perpendicular to the plane that contains T.

central configurations; spatial configurations; 5-body problem; convex configuration; concave configuration