Geodesic
A note on the proof of Bertrand's theorem
Theoretical and applied mechanics, Tome 42 (2015) no. 1, p. 27 .

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In this paper we fill a common gap in the proof of Bertrand' theorem present both the in Bertrand's original paper \emph{Théorème relatif au movement d'un point attiré vers un centre fixe} and in the Arnold's book \emph{Mathematical methods of classical mechanics}, by providing missing details which pertain to the problem of how to single out elastic and gravitational potentials among the power law ones.
DOI : 10.2298/TAM1501027J
Classification : 70B05, 34A34
Keywords: Newtonian mechanics, central forces, closed orbits 
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Vladimir Jovanović. A note on the proof of Bertrand's theorem. Theoretical and applied mechanics, Tome 42 (2015) no. 1, p. 27 . doi : 10.2298/TAM1501027J. http://geodesic.mathdoc.fr/articles/10.2298/TAM1501027J/

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