Perturbed Kepler-problem in general relativity with quaternions

TL;DR

This paper re-examines binary star system motion under general relativity perturbations, using quaternion-based regularization and linearization of the Kepler problem to derive first-order perturbation results.

Contribution

It introduces a quaternion-based method to regularize and linearize the Kepler problem in general relativity, enabling new analytical perturbation results.

Findings

Derived first-order perturbation results for binary systems.

Presented a quaternion-based regularization technique.

Enhanced analytical understanding of relativistic orbital perturbations.

Abstract

The motion of binary star systems is re-examined in the presence of perturbations from the theory of general relativity. The Kepler problem is regularized and linearized with quaternions. In this way first order perturbation results are derived.