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

DOI10.2298/TAM220213005COpenAlexW4285251714MaRDI QIDQ6193900

Unnamed Author

Publication date: 14 February 2024

Published in: Theoretical and Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/tam220213005c

zbMATH Keywords

Kepler problemdynamical symmetryclassical mechanicsBertrand's theorem

Mathematics Subject Classification ID

Two-body problems (70F05) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Cites Work

• Unnamed Item
• Unnamed Item
• ``Kepler harmonies and conformal symmetries
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Dynamical symmetries of the Kepler problem
• Symmetries of the time-dependent N-dimensional oscillator
• On the Lie symmetries of the classical Kepler problem
• On the complete symmetry group of the classical Kepler system

This page was built for publication: Symmetries and stability of motions in the Newtonian and the Hookean potentials