New spatial central configurations in the 5-body problem

Luis F. Mello, Antonio C. Fernandes
2011 Anais da Academia Brasileira de Ciências  
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.
doi:10.1590/s0001-37652011005000023 fatcat:ihymr3hr4fad5bdljk5lkhssta