Many thanks, this is an excellent and systematic computer analysis producing a precessing ellipse from the Hamilton equations, thus verifying the precessing ellipse from the Euler Lagrange equations of special relativity found in previous UFT papers. Both are entirely original results and this self consistency check is very important. I would like to point out that the hamiltonian can also be written as H = ( p squared c squared + m squared c fourth) power half – mMg / r, where p = gamma m v sub N is the relativistic momentum. So the Hamilton equations can be applied to the hamiltonian in this format, choosing p and r as the canonical variables. There are also other choices of p and q possible.