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

TL;DR

This paper proves the existence of a new family of seven-body central configurations in three-dimensional space, where bodies form concentric simplexes, advancing understanding of spatial gravitational arrangements.

Contribution

It introduces a novel family of central configurations in the spatial seven-body problem, characterized by bodies arranged as concentric simplexes, which was not previously known.

Findings

Existence of a new family of central configurations in 3D space.

Bodies arranged as concentric simplexes in these configurations.

Advancement in understanding spatial seven-body gravitational arrangements.

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.