Some invariant relations in the problem of the motion of a body on a smooth horizontal plane

DOI10.1016/0021-8928(88)90054-8zbMath0691.70007OpenAlexW1979200834MaRDI QIDQ582950

A. S. Sumbatov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90054-8

zbMATH Keywords

central gyration ellipsoidheavy rigid bodymanifolds of stationary motionssmooth horizontal planestationary motionssufficient condition for stabilityvelocity-homogeneous invariant relations

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Dynamical systems and ergodic theory (37-XX)

Related Items (1)

On the nonlinear oscillations of a triaxial ellipsoid on a smooth horizontal plane

Cites Work

• A Method for Testing Numerical Integrations of Equations of Motion of Mechanical Systems
• On the Attitude Dynamics of Spinning Deformable Systems
• On the stability of a body with connected moving parts.

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