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Necessary Existence Conditions for an Additional Integral in the Problem of Motion of a Rigid Body with a Fixed Point Bounded by the Surface of an Ellipsoid of Revolution in a Particle Flow

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Abstract

The problem of motion in a free molecular flow of particles of a rigid body with a fixed point bounded by the surface of an ellipsoid of revolution is considered. Necessary existence conditions for an additional analytic first integral independent of the energy integral are obtained in this problem.

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Authors and Affiliations

  1. Chair of Theoretical Mechanics and Mechatronics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    M. M. Gadzhiev & A. S. Kuleshov

Authors
  1. M. M. Gadzhiev
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  2. A. S. Kuleshov
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Correspondence to M. M. Gadzhiev or A. S. Kuleshov.

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Gadzhiev, M.M., Kuleshov, A.S. Necessary Existence Conditions for an Additional Integral in the Problem of Motion of a Rigid Body with a Fixed Point Bounded by the Surface of an Ellipsoid of Revolution in a Particle Flow. Moscow Univ. Mech. Bull. 78, 36–41 (2023). https://doi.org/10.3103/S0027133023020048

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  • DOI: https://doi.org/10.3103/S0027133023020048

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