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/r2 term in the gravitational potential. This yields a dynamics of the same type as the Levi-Civita correction, up to different coefficients.
Reparametrizing the relativistic Kepler equation: A bridge to Levi-Civita-type models
Boscaggin, A.;Dambrosio, W.
2026-01-01
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/r2 term in the gravitational potential. This yields a dynamics of the same type as the Levi-Civita correction, up to different coefficients.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
26BosDamAML.pdf
Accesso riservato
Tipo di file:
PDF EDITORIALE
Dimensione
578.15 kB
Formato
Adobe PDF
|
578.15 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
