Evolution of rotational motions of a nearly dynamically spherical rigid body with a moving mass

DOI10.1016/j.cnsns.2024.107916MaRDI QIDQ6131359

Tetiana Kozachenko, D. D. Leshchenko, Sergey V. Ershkov

Publication date: 5 April 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

asymptotic averaging methodelastic dissipative elementperturbed Euler system

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Perturbation methods for rigid body dynamics (70E20) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal rotation deceleration of a dynamically symmetric body with movable mass in a resistant medium
• Some problems on the motion of a rigid body with internal degrees of freedom
• New integrable problems of motion of a rigid body with a particle oscillating or bouncing in it
• The method of averaging for Euler's equations of rigid body motion
• On the orientation of a rigid body using point masses.
• Rigid body dynamics
• Quasi-optimal deceleration of rotations of a rigid body with a moving mass in a resistive medium
• Time quasi-optimal deceleration of rotations of a gyrostat with a moving mass in a resistive medium
• Approximate equations of rotational motion of a rigid body carrying a movable point mass
• Direct and inverse secondary resonance effects in the spherical motion of an asymmetric rigid body with moving masses
• Rigid body dynamics. A Lagrangian approach
• Evolution of Motions of a Rigid Body About its Center of Mass
• Problems of evolution of rotations of a rigid body under the action of perturbing moments
• Heteroclinic chaos detecting in dissipative mechanical systems: chaotic regimes of compound nanosatellites dynamics