On the Uniqueness of Co-circular Four Body Central Configurations

Abstract

We study central configurations lying on a common circle in the Newtonian four-body problem. Using a topological argument we prove that there is at most one co-circular central configuration for each cyclic ordering of the masses on the circle.

References in corpus (1)

• Convex Four Body Central Configurations with Some Equal Masses

Cited by in corpus (2)

• On the uniqueness of trapezoidal four-body central configurations
• Symmetric Central Configurations in the Concave 4-Body Problem with Two Pairs of Equal Masses