Stacked Central Configurations for the Spatial Seven–Body Problem

Abstract

In this article we study the existence of new families of spatial stacked central configurations for the 7–body problem. We study spatial central configurations where four bodies are at the vertices of a regular tetrahedron $${\mathcal T}$$ and the other three bodies are symmetrically located at the vertices of an equilateral triangle $${\mathcal{E}}$$ in the exterior of $${\mathcal{T}}$$ .