An English translation o Bertrand's theorem

Abstract

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 into English.

This is English version of a beautiful theorem due to Joseph Bertrand; simple latex file, no figures, six pages

Cited by in corpus (1)

• Superintegrability on the 3-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the Sphere $S^3$ and on the Hyperbolic space $H^3$