Pinzari's research on the -body problem has been described as "the most natural way to apply" the Kolmogorov–Arnold–Moser theorem to the problem. The original work of Vladimir Arnold on this theorem attempted to use it to showthe stability of the Solar System or similar systems of planetary orbits, but this worked only for the three-body problem because of a degeneracy in Arnold's mathematical framework. Pinzari showed how to eliminate this problem, and extended the solution to larger numbers of bodies, by developing "a rotation-invariant version of the KAM theory".