Geodesic
Integration of the Perturbated Jacobi Problem
Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 143

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

It is shown that recently obtained family of integrable potential perturbations of the Jacobi problem for the geodesics on the ellipsoid can be integrated by separation of variables in the elliptic coordinates. The way of reduction to the Liouville case is demonstrated and the complete integral of the Hamilton--Jacobi equation is given.
Classification : 58F05 
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     author = {Vladimir Dragovi\'c},
     title = {Integration of the {Perturbated} {Jacobi} {Problem}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {143 },
     publisher = {mathdoc},
     volume = {_N_S_63},
     number = {77},
     year = {1998},
     zbl = {0945.70013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a14/}
}
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Vladimir Dragović. Integration of the Perturbated Jacobi Problem. Publications de l'Institut Mathématique, _N_S_63 (1998) no. 77, p. 143 . http://geodesic.mathdoc.fr/item/PIM_1998_N_S_63_77_a14/