A truly elementary proof of Bertrand's theorem

Abstract

An elementary proof of Bertrand's theorem is given by examining the radial orbit equation, without needing to solve complicated equations or integrals.

arXiv comment9 pages with 1 figure. To be published in American Journal of Physics

References in corpus (2)

• Inverse problem and Bertrand's theorem
• The determination of the apsidal angles and Bertrand's theorem

Cited by in corpus (1)

• The unreasonable effectiveness of the $n\Sigma v$ approximation