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IssuesArchive of Issues2023-2pp.475-482

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G.W. Gorr, "On a Class of Semi-Regular Gyrostat Precessions with Variable Gyrostatic Moment," Mech. Solids. 58 (2), 475-482 (2023)
Year 2023 Volume 58 Number 2 Pages 475-482
DOI 10.3103/S0025654422600957
Title On a Class of Semi-Regular Gyrostat Precessions with Variable Gyrostatic Moment
Author(s) G.W. Gorr (Institute of Applied Mathematics and Mechanics, Donetsk, Russia, gvgorr@gmail.com)
Abstract The article considers the problem of the motion of a gyrostat under the action of potential and gyroscopic forces in the case of a variable gyrostatic moment. The conditions for the existence of semi-regular precessions characterized by the constancy of their own rotation rate are studied. A new solution of the equations of the Kirchhoff–Poisson class is constructed, based on a special type of three invariant relations with respect to the main variables of these equations.
Keywords potential and gyroscopic forces, variable gyrostatic moment, semi-regular precessions
Received 11 June 2022Revised 20 September 2022Accepted 30 June 2022
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