On the stability of the permanent rotations of an asymmetric heavy rigid body

DOI10.1016/0021-8928(83)90056-4zbMath0572.70003OpenAlexW2019898421MaRDI QIDQ1062479

D. V. Andreev

Publication date: 1984

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(83)90056-4

zbMATH Keywords

nonresonance caseinstability conditionsArnold- Moser stability theoremsasymmetric heavy rigid bodyrotations around the vertical axisthird- and fourth-order resonances

Mathematics Subject Classification ID

Motion of the gyroscope (70E05)

Cites Work

• On the stability of uniform rotations of a rigid body around the principal axis
• On bifurcation and stability of stationary motions in certain problems of dynamics of a rigid body
• Stability of uniform rotations of a rigid body about a principal axis
• On the stability of permanent rotation of a heavy solid body about a fixed point
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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