The Relativistic Binet Equation of Orbits

This given by Eq. (25) using the results of Note 402(5). It is the same result as derived in earlier UFT papers, giving a proof of overall self consistency. It is developed to give the precise orbital equation (36), which is approximated by Eq. (42), a second order non linear differential equation. It is known from numerical integration in UFT401 that the starting equation, the relativistic Newton equation, gives precessing ellipses. Eq. (36) gives the precise analytical result for the same orbit, so Eq. (36) must give precession.

a402ndpapernotes7.pdf

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