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Linear invariant relations of the Poincaré-Zhukovskii equations

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Publication:900353
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DOI10.1016/J.JAPPMATHMECH.2014.05.003zbMath1327.70007OpenAlexW2032001362MaRDI QIDQ900353

V. Yu. Ol'shanskij

Publication date: 22 December 2015

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2014.05.003



Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Motion of a rigid body with a fixed point (70E17)


Related Items (7)

Semi-regular precession of an asymmetrical rigid solid body filled with a liquid ⋮ On the regular precessions of an asymmetric liquid-filled rigid body ⋮ New cases of regular precession of an asymmetric liquid-filled rigid body ⋮ Linear invariant relations of Kirchhoff's equations ⋮ Partial linear integrals of the Poincaré-Zhukovskiĭ equations (the general case) ⋮ Invariant relations and particular solutions of the dynamic equations of a rigid body ⋮ On solutions of the equations of motion of a gyrostat with a variable gyrostatic moment




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