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On Stationary Motions of an Isosceles Tetrahedron with a Fixed Point in the Central Field of Forces

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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.

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  1. Federal Research Center Computer Science and Control, Russian Academy of Sciences, 119333, Moscow, Russia

    E. A. Nikonova

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Translated by E. Smirnova

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Nikonova, E.A. On Stationary Motions of an Isosceles Tetrahedron with a Fixed Point in the Central Field of Forces. Mech. Solids 57, 1620–1632 (2022). https://doi.org/10.3103/S0025654422070147

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