Abstract
A new solution is obtained for the problem concerning the motion of a rigid body having a fixed point, affected by potential and gyroscopic forces. With the use of a modified Poinsot method proposed by the author, it is shown that the body motion in the constructed solution can be presented by a nonslip rolling of the inertia ellipsoid of a body on a plane fixed in space. This result can be considered as an analog of a Poinsot result obtained based on the interpretation of motion a rigid body in Euler solution.
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Funding
The study was supported by the Russian Science Foundation, project no. 19-71-30012.
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Translated by O. Polyakov
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Gorr, G.V. A Kinematic Interpretation of Rigid Body Motion in a New Solution of Grioli Equations. Mech. Solids 58, 2738–2749 (2023). https://doi.org/10.3103/S0025654423080101
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DOI: https://doi.org/10.3103/S0025654423080101