Periodic solutions to a perturbed relativistic Kepler problem

Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin

We consider a perturbed relativistic Kepler problem \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\left(\dfrac{m\dot{x}}{\sqrt{1-|\dot{x}|^2/c^2}}\right)=-α\, \dfrac{x}{|x|^3}+\…