Integrable cases in the dynamics of axial gyrostats and adiabatic invariants

DOI10.1007/s11071-011-0225-xzbMath1315.70004OpenAlexW2109537356MaRDI QIDQ437466

Vladimir S. Aslanov

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0225-x

zbMATH Keywords

analytical solutionscomplete elliptic integralsAndoyer-Deprit variables

Mathematics Subject Classification ID

Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Integrable cases of motion in rigid body dynamics (70E40) Motion of the gyroscope (70E05)

Related Items (7)

Behavior of a free dual-spin gyrostat with different ratios of inertia moments ⋮ Adiabatic invariants, diffusion and acceleration in rigid body dynamics ⋮ Dynamics and control of dual-spin gyrostat spacecraft with changing structure ⋮ Stability analysis of resonant rotation of a gyrostat in an elliptic orbit under third-and fourth-order resonances ⋮ Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions ⋮ Regimes of regular and chaotic motion of gyrostats in the central gravity field ⋮ Homoclinic solutions and motion chaotization in attitude dynamics of a multi-spin spacecraft

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