Answers are grounded in this paper and cite their sources.
We prove there are finitely many isometry classes of planar central configurations (also called relative equilibria) in the Newtonian 5-body problem, except perhaps if the 5-tuple of positive masses belongs to a given codimension 2 subvariety of the mass space.
No takes yet. Share an insight, caveat, or question.
Albouy et al. (2012) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: