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math.DS2023
Bifurcation of closed orbits of Hamiltonian systems with application to geodesics of the Schwarzschild metric
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We investigate bifurcation of closed orbits with a fixed energy level for a class of nearly integrable Hamiltonian systems with two degrees of freedom. More precisely, we make a jo…
math.DS2023
Prescribed energy periodic solutions of Kepler problems with relativistic corrections
Alberto Boscaggin, Walter Dambrosio, Guglielmo Feltrin
We consider two different relativistic versions of the Kepler problem in the plane: the first one involves the relativistic differential operator, the second one involves a correct…