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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…
physics.class-ph2005
Remarks on the conservation of mechanical energy in introductory mechanics
F C Santos, V Soares, A C Tort
We discuss the work-kinetic energy theorem and the mechanical energy conservation theorem in the context of general physics courses. The motivation is the fact that all modern text…