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Complete list of first integrals of dynamic equations of motion of a 4D rigid body in a nonconservative field under the assumption of linear damping

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Abstract

The dynamic part of equations of motion of a dynamically symmetric 4D rigid body, where the force field is concentrated on that part of the body that has the form of a two-dimensional disc, is investigated. In this case, the tensor of the angular velocity of such a body is six-dimensional, while the velocity of the center of mass is four-dimensional. Under certain conditions, a complete list of first integrals, which are expressed through elementary functions, is obtained.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, Moscow, 117192, Russia

    M. V. Shamolin

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  1. M. V. Shamolin
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Additional information

Original Russian Text © M.V. Shamolin, 2013, published in Doklady Akademii Nauk, 2013, Vol. 449, No. 4, pp. 416–419.

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Shamolin, M.V. Complete list of first integrals of dynamic equations of motion of a 4D rigid body in a nonconservative field under the assumption of linear damping. Dokl. Phys. 58, 143–146 (2013). https://doi.org/10.1134/S1028335813040022

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  • DOI: https://doi.org/10.1134/S1028335813040022

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