@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},
}