@article{8503,
abstract = {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.},
author = {Albouy, Alain and Kaloshin, Vadim},
issn = {0003-486X},
journal = {Annals of Mathematics},
number = {1},
pages = {535--588},
publisher = {Princeton University Press},
title = {{Finiteness of central configurations of five bodies in the plane}},
doi = {10.4007/annals.2012.176.1.10},
volume = {176},
year = {2012},
}