Relativistic effects in the dynamics of a particle in a Coulomb field

Rafael Ortega; David Rojas

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arXiv · 2408.01260

Relativistic effects in the dynamics of a particle in a Coulomb field

Rafael Ortega·David Rojas

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Abstract

We prove that Bertrand's property cannot occur in a special-relativistic scenario using the properties of the period function of planar centres. We also explore some integrability properties of the relativistic Coulomb problem and the asymptotic behavior of collision solutions.

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Rafael Ortega, David Rojas. 2024-08-02. Relativistic effects in the dynamics of a particle in a Coulomb field. https://arxiv.org/abs/2408.01260

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