Partial linear integrals of the Poincaré-Zhukovskiĭ equations (the general case)

DOI10.1016/j.jappmathmech.2017.12.004zbMath1443.70026OpenAlexW2783797869MaRDI QIDQ2278069

V. Yu. Ol'shanskij

Publication date: 7 December 2019

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.2017.12.004

Mathematics Subject Classification ID

Integrable cases of motion in rigid body dynamics (70E40)

Related Items (3)

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

Cites Work

• A new linear invariant relation of the Poincaré-Zhukovskii equations
• Linear invariant relations of the Poincaré-Zhukovskii equations
• The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity
• Linear invariant relations of Kirchhoff's equations
• The Hess-Appelrot case and quantization of the rotation number
• Integrable quadratic classical Hamiltonians onso(4) andso(3, 1)
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