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physics.class-ph2007★ 6 cited
An English translation o Bertrand's theorem
F. C. Santos, V. Soares, A. C. Tort
A beautiful theorem due to J. L. F. Bertrand concerning the laws of attraction that admit bounded closed orbits for arbitrarily chosen initial conditions is translated from French…
physics.class-ph2007
A non-perturbative proof of Bertrand's theorem
F C Santos, V Soares, A C Tort
We discuss an alternative non-perturbative proof of Bertrand's theorem that leads in a concise way directly to the two allowed fields: the newtonian and the isotropic harmonic osci…