Geodesic
Symmetries and stability of motions in the Newtonian and the Hookean potentials
Theoretical and applied mechanics, Tome 49 (2022) no. 1, p. 61

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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.
DOI : 10.2298/TAM220213005C
Classification : 70G65, 70F05
Keywords: classical mechanics, dynamical symmetry, Bertrand's theorem, Kepler problem 
Christian Carimalo. Symmetries and stability of motions in the Newtonian and the Hookean potentials. Theoretical and applied mechanics, Tome 49 (2022) no. 1, p. 61 . doi: 10.2298/TAM220213005C
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