Symmetries and stability of motions in the Newtonian and the Hookean potentials

A new way of looking at symmetries is proposed, especially regarding their role in the stability of two-body motions in the Newtonian and the Hookean potentials, the two selected by Bertrand’s theorem. The role of the number of spatial dimensions is also addressed.

Bibliographic Details
Main Author: Carimalo Christian
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2022-01-01
Series:Theoretical and Applied Mechanics
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2022/1450-55842200005C.pdf