Generic uniqueness of the minimal Moulton central configuration
  We prove that, for generic (open and dense) values of the masses, the Newtonian potential function of the collinear N-body problem has $N!/2$ critical values when restricted to a fixed inertia level. In particular, we prove that for generic masses, there is only one minimal Moulton configuration. 
Renato Iturriaga, Ezequiel Maderna
math-ph math.CA math.DS math.MP