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Motion of a heavy gyrostat with variable gyrostatic moment in the generalized Steklov case

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Abstract

Several families of isoconic motions of a heavy nonautonomous gyrostat with a fixed point are analyzed. Assuming that the conditions for the existence of a generalized Steklov solution are satisfied, we indicate the explicit time dependence of the main variables and analytically study the fixed hodographs of the angular velocity ω, the total angular momentum K of the system, and the center of mass position vector. The time dependence of the angle betweenKand ω is written out and examined. We obtain restrictions on the values of the nutation and proper rotation angles.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Rozy Luksemburg 74, Donetsk, 83114, Ukraine

    O. S. Volkova

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  1. O. S. Volkova
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Correspondence to O. S. Volkova.

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Original Russian Text © O.S. Volkova, 2015, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2015, No. 3, pp. 3–16.

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Volkova, O.S. Motion of a heavy gyrostat with variable gyrostatic moment in the generalized Steklov case. Mech. Solids 50, 233–244 (2015). https://doi.org/10.3103/S0025654415030012

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  • DOI: https://doi.org/10.3103/S0025654415030012

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