Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 5, Pages 40–46 (Mi vmumm4425)  
This article is cited in 3 scientific papers (total in 3 papers)

Mechanics

Rotation of isosceles tetrahedron in central Newtonian force field: Staude cone

A. A. Burovab, E. A. Nikonovaba

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
b National Research University "Higher School of Economics", Moscow
Full-text PDF (938 kB) Citations (3)
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Abstract: 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.
Key words: Staude cone, permanent rotations, rigid body with a fixed point in the central force field, an equilateral tetrahedron, Routh theory.
Received: 29.06.2020
English version:
Moscow University Mechanics Bulletin, 2021, Volume 76, Issue 5, Pages 123–129
DOI: https://doi.org/10.3103/S0027133021050034
Bibliographic databases:
Document Type: Article
UDC: 531.36
Language: Russian
Citation: A. A. Burov, E. A. Nikonova, “Rotation of isosceles tetrahedron in central Newtonian force field: Staude cone”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 40–46; Moscow University Mechanics Bulletin, 76:5 (2021), 123–129
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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