328(5): The Exact Orbit of Special Relativity

This is given by Eq. (22), whose right hand side can be worked out completely in terms of r and compared with the classical result (19). It can also be compared with x theory of a precessing ellipse, Eq. (25), and with the general precessing ellipse, Eq. (27). It is known from the numerical work of UFT324 and UFT325 by Horst Eckardt that the orbit of special relativity precesses. Eq. (22) is also the exact solution for the Sommerfeld atom before quantization. It is also known that this solution of the Sommerfeld atom is a precessing ellipse. The method used is start with the well known hamiltonian of general relativity, Eq. (1), and to prove that the transition from classical orbits to special relativistic orbits is given by Eq. (12). This is an entirely new result.

a328thpapernotes5.pdf

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