Note 371(1): Precession of the Perihelion on the Classical Level

This note looks afresh at the precession of the perihelion by setting up the classical lagrangian (1) and solving Eqs. (3), (4), (5), (9) and (13) simultaneously for the orbit r = alpha / (1 + epsilon cos beta) where beta is defined in Eq. (6). This method is a development of one used originally in UFT270. The power of the Maxima program now allows the relevant equations to be solved for beta in terms of the angles theta and phi of the spherical polar coordinate system. There are precessions in theta and phi. The precession of the perihelion is usually thought of as a precession of phi in a planar orbit, using the incorrect Einsteinian general relativity. In the UFT papers ECE2 relativity has been used to describe the precession. However it may be that it can be described on the classical level with the use of spherical polar coordinates. If this supposition is true, and if Eq. (8) is a precessing ellipse, then other precessions can also be developed in this way. The theory can also be developed with the Eulerian angles. In general there are precessions in theta and phi. There is no reason why an orbit should be planar. In general it must be described by a three dimensional theory.


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