Abstract
Using the variational method Chenciner and Montgomery proved the existence of a new periodic solution of figure-eight shape to the planar three-body problem. Since then, a number of periodic solutions have been discovered as minimizers. We present a minimax approach to the $n$-body problem and prove the existence of some periodic solutions as minimax points of the action functional.
Information
Digital Object Identifier: 10.2969/aspm/06410221