Reparametrizing the relativistic Kepler equation: a bridge to Levi-Civita-type models
Dynamical Systems
2026-04-14 v1 General Relativity and Quantum Cosmology
Abstract
We establish a link between different relativistic variants of the Kepler problem. In particular, we show that solutions of the special relativistic model with fixed energy can be reparameterized as solutions of a generalized Kepler equation with an additional term in the gravitational potential. This yields a dynamics of the same type as the Levi-Civita correction, up to different coefficients.
Keywords
Cite
@article{arxiv.2604.11500,
title = {Reparametrizing the relativistic Kepler equation: a bridge to Levi-Civita-type models},
author = {Alberto Boscaggin and Walter Dambrosio},
journal= {arXiv preprint arXiv:2604.11500},
year = {2026}
}