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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2022-7pp.1620-1632

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E.A. Nikonova, "On Stationary Motions of an Isosceles Tetrahedron with a Fixed Point in the Central Field of Forces," Mech. Solids. 57 (7), 1620-1632 (2022)
Year 2022 Volume 57 Number 7 Pages 1620-1632
DOI 10.3103/S0025654422070147
Title On Stationary Motions of an Isosceles Tetrahedron with a Fixed Point in the Central Field of Forces
Author(s) E.A. Nikonova (Federal Research Center Computer Science and Control, Russian Academy of Sciences, Moscow, 119333 Russia, nikonova.ekaterina.a@gmail.com)
Abstract The existence, stability, and branching of steady motions of an isosceles tetrahedron (a disphenoid) with a fixed point in the central Newtonian field of forces are studied. The relation between these properties of stationary motions and those of stationary motions of a regular tetrahedron, whose natural geometric generalization is an isosceles tetrahedron, is considered.
Keywords rigid body with a fixed point, body in a central gravitational field, Routh theory, stability and branching of steady motions, isosceles tetrahedron
Received 22 May 2021Revised 30 December 2021Accepted 13 January 2022
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