Derives the Péclet number formulation of the virial theorem: for all systems bound by 1/r² forces, the equilibrium ratio of kinetic to binding energy is exactly Pe = 1/2. The ionization or escape threshold is Pe = 1 — the universal V* crossing. This unifies hydrogen ionization, planetary orbital mechanics, binary star evaporation, and galactic escape velocity under a single dimensionless framework. Empirically anchored via the Saha equation across nine atomic species and corroborated by the Jeans mass criterion.
Anthony W. Eckert (Sat,) studied this question.