The resonance motions of a statically stable Lagrange top at small nutation angles

DOI10.1016/J.JAPPMATHMECH.2016.09.004zbMath1434.70050OpenAlexW2532040969MaRDI QIDQ2278001

Yu. M. Zabolotnov

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.2016.09.004

Mathematics Subject Classification ID

Stability problems in rigid body dynamics (70E50) Perturbation methods for rigid body dynamics (70E20) Nonlinear resonances for nonlinear problems in mechanics (70K30) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (5)

Estimation of the Probability of Capture into Resonance and Parametric Analysis in the Descent of an Asymmetric Spacecraft in an Atmosphere ⋮ Direct and inverse secondary resonance effects in the spherical motion of an asymmetric rigid body with moving masses ⋮ A two-stage method for the formation of a rotating electrodynamic space Tether system ⋮ Resonant motions of the statically stable Lagrange spinning top ⋮ Analysis of the dynamics of the formation of a tether group of three nanosatellites taking into account their motion around the centers of mass

Cites Work

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• 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
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.

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