Geodesic
The brachistochronic motion of a gyroscope mounted on the gimbals
Theoretical and applied mechanics, Tome 2 (1976) no. 1, p. 37 
Dj. S. Djukić. The brachistochronic motion of a gyroscope mounted on the gimbals. Theoretical and applied mechanics, Tome 2 (1976) no. 1, p. 37 . http://geodesic.mathdoc.fr/item/TAM_1976_2_1_a5/
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     title = {The brachistochronic motion of a gyroscope mounted on the gimbals},
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     year = {1976},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAM_1976_2_1_a5/}
}
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Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The brachistochrone movement of the gyroscope in the gimbals under the influence of gravity is analyzed. In one special case, the problem was solved.