On the stability of uniform rotations of a rigid body around the principal axis

DOI10.1016/0021-8928(80)90143-4zbMath0467.70008OpenAlexW2084129758MaRDI QIDQ1155967

A. N. Chudnenko

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)90143-4

zbMATH Keywords

autonomous systemstability of the steady-state motionsuniform rotations of rigid body with fixed point

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Hamilton's equations (70H05)

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Attitude stability of artificial satellites subject to gravity gradient torque ⋮ On the stability of the permanent rotations of an asymmetric heavy rigid body

Cites Work

• Stability of uniform rotations of a rigid body about a principal axis
• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• On the problem of stability of equilibrium positions of Hamiltonian systems
• On a certain property of the characteristic numbers of the solutions of differential equations
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