Using three dimensional orbits in the planar limit, it is shown that the planetary precession in the (r, phi) plane can be explained with

x = sin theta

where

x = 1 + 3MG / (alpha c squared).

So it is possible after four centuries (1600 to present) to explain planetary precession with the classical inverse square law. This is achieved by considering three dimensional orbits. Einstein’s theory is not needed and is completely incorrect. The factor x can be measured in astronomy and used to give a fix on theta of the (r, theta, phi) spherical polar system. Alternatively x can be understood with special relativity, the ubiquitous Thomas Precession, and converted very simply into a constant sin theta. This is yet another major advance in understanding made with x theory. It would be very interesting to graph the transition to a planar orbit from the three dimensional orbit. I don’t think anyone can have any objection to this result, it is the direct result of the spherical polar coordinates, which using a deeper analysis come from Cartan geometry. Conversely, if anyone does object to this they will reveal themselves as hopelessly prejudiced. So this is a useful note in many ways.

a270thpapernotes1.pdf

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