Articles written in Resonance – Journal of Science Education
Volume 24 Issue 11 November 2019 pp 1235-1251 General Article
Bertrand’s theorem is one of the landmark results in the contextof the central force problem in mechanics. It leads tothe conditions for closed bound orbits. This pedagogical articleintends to motivate the teacher as well as the student toengage in a formal proof of the theorem. We overview thebasics of central forces and the Abel integral. Thereafter, weobtain the condition for closed orbits. We provide the readerwith a broad panorama of areas/topics where Bertrand’s theoremarises, including interesting scenarios in the regime ofEinstein’s general theory of relativity.
Volume 27 | Issue 6