The dispersion radius of two hydrogens is where dispersion and gravity energies are equal and is at rd = (3/4 EH a2 / G / mH2)1/5 = 70 nm, where a = 3peorB3 is the hydrogen atom polarizability. Two hydrogens in circular orbits do not radiate quadrupole gravity waves and so there needs to be other particle exchanges to further cool and condense atomic into solid molecular hydrogen. The gravity biphoton condensation of atomic hydrogen into stars is of course the basis of the single photon emission that lights the universe.
The dispersion limit is then where the dispersion radius exceeds the product of body radii as rd > 1.44e5 (r1r2)3/5 which is roughly 144,000 times the body radius product to the 3/5th power. The moon Io of Jupiter has just 3e-5 of its gravity energy as dispersion while earth's moon has just 1.6e-4 of its gravity as dispersion energy. Dispersion energy is a small but significant part of most gravity orbits and the heat generated by dispersion energy is part of the radiant flux from each orbiting body as well.