On the motion of a solid with an ideal non-retaining constraint

DOI10.1016/0021-8928(85)90068-1zbMath0622.70018OpenAlexW2023737523MaRDI QIDQ1091161

Anatoliy P. Markeev

Publication date: 1985

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(85)90068-1

zbMATH Keywords

stabilityperiodic motionKolmogorov's theoremcanonical formalismHamiltonian functionsPoincaré's methodconservation of motionideal one-way constraintsmotion of a solidstationary horizontal absolutely smooth plane

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Collision of rigid or pseudo-rigid bodies (70F35) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (2)

Solutions homoclinic to regular precessions of a symmetric satellite ⋮ An investigation of the stability of the periodic motion of a rigid body when there are collisions with a horizontal plane

Cites Work

• The action-angle variables in the Euler-Poinsot problem
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