Stability of steady rotations of a heavy gyrostat about its principal axis

DOI10.1016/0021-8928(80)90005-2zbMath0486.70010OpenAlexW1987058615MaRDI QIDQ1165040

Alexander Mikhailovich Kovalev

Publication date: 1980

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90005-2

zbMATH Keywords

stability of steady rotationstheorem by Arnold-Moser extended

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Hamilton's equations (70H05) Motion of the gyroscope (70E05)

Related Items (4)

An explicit formula for the discussion of stability in autonomous Hamiltonian systems ⋮ Exponential control of a rotational motion of a rigid body using quaternions. ⋮ Stability of the permanent rotations of an asymmetric gyrostat in a uniform Newtonian field ⋮ On the stability of a class of permanent rotations of a heavy asymmetric gyrostat

Cites Work

• Stability of uniform rotations of a rigid body about a principal axis
• Conservation of integrals of motion for small changes of Hamilton's function in some cases of integrability of the equations of motion of a gyrostat
• On the stability of motion of gyrostats
• On the stability of permanent rotations of a heavy gyrostat
• On uniform rotations of a body with a fixed point
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