Cinematic Interpretation of Motion a Rigid Body in a new Solution of Grioli Equations

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Abstract

In the article, a new solution is obtained for the problem on motion of a rigid body, having a fixed point, under the action of potential and gyroscopic forces. With use of the modified Poisson method, proposed by the author, it is shown that the motion of the body in this solution can be presented by rolling without sliding of the ellipsoid of inertia of the body along a plane fixed in the immovable space. This result may be considered as an analysis of Poisson result on interpretation of motion a rigid body in Euler solution.

About the authors

G. V. Gorr

Steklov Mathematical Institute RAS

Author for correspondence.
Email: gvgorr@gmail.com
Russia, Moscow

References

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