Geodesic
Rotation of isosceles tetrahedron in central Newtonian force field: Staude cone
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2021), pp. 40-46

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The Staude cone is considered in the problem of motion of a homogeneous equilateral tetrahedron in a central force field. The character of the degeneracy of the Staude cone is studied in the case when an equilateral tetrahedron is close to a regular one. It is shown how the equation of the Staude cone can be obtained in the framework of Routh theory. 
@article{VMUMM_2021_5_a4,
     author = {A. A. Burov and E. A. Nikonova},
     title = {Rotation of isosceles tetrahedron in central {Newtonian} force field: {Staude} cone},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {40--46},
     publisher = {mathdoc},
     number = {5},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2021_5_a4/}
}
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A. A. Burov; E. A. Nikonova. Rotation of isosceles tetrahedron in central Newtonian force field: Staude cone. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2021), pp. 40-46. http://geodesic.mathdoc.fr/item/VMUMM_2021_5_a4/