Geodesic
The brachistochronic motion of a gyroscope mounted on the gimbals
Theoretical and applied mechanics, Tome 2 (1976) no. 1, p. 37
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The brachistochrone movement of the gyroscope in the gimbals under the influence of gravity is analyzed. In one special case, the problem was solved. 
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     title = {The brachistochronic motion of a gyroscope mounted on the gimbals},
     journal = {Theoretical and applied mechanics},
     pages = {37 },
     year = {1976},
     volume = {2},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAM_1976_2_1_a5/}
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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/