Perturbed Kepler-problem in general relativity with quaternions
arXiv:1206.5517 · doi:10.1142/S0218271813500405
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.
22 pages, 4 figures