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arXiv · 2604.11500

Reparametrizing the relativistic Kepler equation: a bridge to Levi-Civita-type models

Alberto Boscaggin·Walter Dambrosio
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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 $1/r^2$ term in the gravitational potential. This yields a dynamics of the same type as the Levi-Civita correction, up to different coefficients.

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Alberto Boscaggin, Walter Dambrosio. 2026-04-13. Reparametrizing the relativistic Kepler equation: a bridge to Levi-Civita-type models. https://arxiv.org/abs/2604.11500

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