Seven-body central configurations: a family of central configurations in the spatial seven-body problem

Abstract

The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex stacked central configuration, i.e the bodies are arranged as concentric three and two dimensional simplexes.

15 pages 5 figures

References in corpus (1)

• Rosette Central Configurations, Degenerate central configurations and bifurcations

Cited by in corpus (1)

• On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configuration