Periodic and conditionally periodic solutions in the problem of motion of a heavy solid about a fixed point

DOI10.1016/0021-8928(81)90072-1zbMath0499.70010OpenAlexW2084701758MaRDI QIDQ1171890

Yu. V. Barkin

Publication date: 1981

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(81)90072-1

zbMATH Keywords

distribution of mass close to axisymmetricfixed point near center of massperiodic solutions of Poincaresets of periodic and conditionally periodic solutions

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Hamilton's equations (70H05) Motion of the gyroscope (70E05)

Related Items (2)

Periodic solutions of Hamiltonian systems in certain degenerate cases ⋮ Absolute and relative choreographies in rigid body dynamics

Cites Work

• On periodic motions of a rigid body in a central Newtonian field
• New periodic solutions for the problem of motion of a heavy solid body around a fixed point

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