Geodesic
The classical Bertrand--Darboux problem
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 231-250

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The well-known problem of classical mechanics considered by Bertrand (1857) and Darboux (1901) is reviewed in the context of Cartan's geometry. 
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     author = {R. G. Smirnov},
     title = {The classical {Bertrand--Darboux} problem},
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     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a15/}
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R. G. Smirnov. The classical Bertrand--Darboux problem. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 7, pp. 231-250. http://geodesic.mathdoc.fr/item/FPM_2006_12_7_a15/