The dynamics of the relativistic Kepler problem

We deal with the Hamiltonian system (HS) associated to the Hamiltonian in polar coordinates H=12pr2+pϕ2r2-1r-∊2r2, where ∊ is a small parameter. This Hamiltonain comes from the correction given by the special relativity to the motion of the two-body problem, or by the first order correction to the t...

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Bibliographic Details
Main Authors: Elbaz I. Abouelmagd, Juan Luis García Guirao, Jaume Llibre
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720318738