Finiteness of central configurations of five bodies in the plane Albouy, Alain Kaloshin, Vadim ; https://orcid.org/0000-0002-6051-2628 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. Princeton University Press 2012 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/8503 Albouy A, Kaloshin V. Finiteness of central configurations of five bodies in the plane. <i>Annals of Mathematics</i>. 2012;176(1):535-588. doi:<a href="https://doi.org/10.4007/annals.2012.176.1.10">10.4007/annals.2012.176.1.10</a> eng info:eu-repo/semantics/altIdentifier/doi/10.4007/annals.2012.176.1.10 info:eu-repo/semantics/altIdentifier/issn/0003-486X info:eu-repo/semantics/closedAccess