On the central configurations of the n-body problem

Abstract

We present a brief survey on some classes of central configurations of the n-body problem. We put special emphasis on the central configurations of the 1+n-body problem also called the coorbital satellite problem, and on the nested central configurations formed by either regular n-gons, or regular polyhedra. We also present some conjectures.

Keywords

• n-body problem
• central configurations
• 70f15
• 70f10
• 37n05