The logical way to write this up is to start with the classical lagrangian analysis of any three dimensional orbit and to prove that any three dimensional orbit can be analysed in terms of two elliptical orbits, one for theta and one for phi, then proceed to the quantum theory of these two ellipses (x theory with x = 1). The mathematical format of the classical analysis is the same for gravitation and electrostatics. The quantum theory is based directly on the classical theory with p psi = – i h bar del psi. Expectation values of r are then computed for various orbitals of atomic hydrogen and the results are wholly original. The expectation values for the theta ellipse are completely different from those of the phi ellipse and can be used to characterize any material in computational quantum mechanics. Both sets of expectation values of r, <r>, depend on the ellipticity. Then proceed to the effects of ubiquitous Thomas precession. These are relativistic corrections which can be compared to the results of the fermion equation in future work, following a suggestion by Dr. Horst Eckardt. The earlier notes will be referred to in the text and posted as usual.