A method of obtaining the rate of perihelion precession in a system of two charged masses

Physics

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Charged Particles, Field Theory (Physics), Klein-Gordon Equation, Perihelions, Precession, Relativistic Effects, Bosons, Coordinate Transformations, Electromagnetic Fields, Energy Levels, Gravitational Fields, Mercury (Planet), Quantum Mechanics, Schroedinger Equation

Scientific paper

The general relativistic Klein-Gordon equation is simplified into a Schroedinger-Kepler equation in terms of rotation rates in gravitational and electromagnetic fields. Attention is given to the coupling factors GmM and qQ, which are multiplied by (1 + 4E/mc2) and (1 + 2E/mc2) to the 1/2, respectively, in order to account for the relativistic case. The case of rotating charged bosons of zero spin is evaluated, and is found to agree with known fine structure levels of the mathematical description. Specifically, the motion of Mercury around the sun is measured, and the first-order calculation gives a rate of perihelion precession of 42.98 sec arc/century. The electric part of the precession rate (-129 yr), as indicated by Stark shifts and molecular binding energy, is well below 0.1 sec arc/century, and does not affect the other measurements.

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