The dynamics of a rigid body colliding with a rigid surface

DOI10.1134/S1560354708020044zbMath1229.70010MaRDI QIDQ652949

Anatoliy P. Markeev

Publication date: 6 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

stabilityrigid bodyconstraintscollision

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Hamilton's equations (70H05) Stability problems in rigid body dynamics (70E50) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (4)

Adiabatic invariants, diffusion and acceleration in rigid body dynamics ⋮ How to control the Chaplygin ball using rotors. II ⋮ ON IMPACT SCRIPTS WITH BOTH FRACTIONAL AND DRY FRICTION TYPE OF DISSIPATION ⋮ On the stability of periodic motions of an autonomous Hamiltonian system in a critical case of the fourth-order resonance

Cites Work

• On the stability of a solid rotating around the vertical and colliding with a horizontal plane
• On the stability of a satellite cylindrical precession in an elliptic orbit
• The stability of periodic trajectories of a billiard ball in three dimensions
• Collision-free motion in systems with non-retaining constraints
• An investigation of the stability of the periodic motion of a rigid body when there are collisions with a horizontal plane
• The oscillations of a particle suspended on an ideal thread
• The action-angle variables in the Euler-Poinsot problem
• The critical case of fourth-order resonance in a hamiltonian system with one degree of freedom
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