Comparative analysis of the electrogravitational Kepler problem in GRT and RTG

TL;DR

This paper compares the trajectories of charged particles in electrogravitational fields as predicted by Einstein's General Relativity and the Relativistic Theory of Gravitation, highlighting differences in their approximate solutions.

Contribution

It provides a comparative analysis of the electrogravitational Kepler problem in GRT and RTG, including approximate solutions and their differences.

Findings

Differences in trajectory predictions between GRT and RTG.

First and second order approximate solutions derived.

Comparison highlights key theoretical distinctions.

Abstract

In the framework of Einstein's General Relativity Theory and of the Relativistic Theory of Gravitation, the equations governing the trajectories of charged particles in the field created by a charged mass point are given. An analysis of the shape of the trajectories in both theories is presented. The first and the second order approximate solutions of the electrogravitational Kepler problem are found in the two theories and the results are compared with each other. I have pointed out the differences between the predictions in the two theories.