The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque

DOI10.1016/j.jappmathmech.2017.08.001zbMath1443.70025OpenAlexW2757009804MaRDI QIDQ2278048

T. A. Kozachenko, Leonid Denisovich Akulenko, D. D. Leshchenko, Ya. S. Zinkevich

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.2017.08.001

Mathematics Subject Classification ID

Perturbation methods for rigid body dynamics (70E20)

Related Items (5)

Stability of a uniform rotation of an asymmetric rigid body in a resisting medium under a constant moment ⋮ Stabilization of unstable spinning of a Lagrange gyroscope in a resisting medium by another spinning gyroscope ⋮ Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments ⋮ Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques ⋮ Resonant motions of the statically stable Lagrange spinning top

Cites Work

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• Perturbed motions of a rigid body, close to the Lagrange case
• The perturbed motions of a solid close to regular Lagrangian precessions
• Capture and escape from resonance in the dynamics of the rigid body in viscous medium
• A two time scale analysis of gyroscopic motion with friction
• On the motion of a satellite about its center of mass under the action of gravitational moments

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