A class of motions of a top in the Goryachev-Chaplygin case

DOI10.1016/0021-8928(84)90047-9zbMath0594.70007OpenAlexW2092840974MaRDI QIDQ1077174

A. I. Dokshevich

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(84)90047-9

zbMATH Keywords

elliptic functionsEuler-Poisson equationselliptic integral of the third kindGoryachev-Chaplygin caseultraelliptic integrals

Mathematics Subject Classification ID

Perturbation methods for rigid body dynamics (70E20) Motion of the gyroscope (70E05)

Related Items (3)

A class of motions of a top in the Goryachev-Chaplygin case ⋮ On the qualitative analysis of motion of a solid body in the Goriachev-Chaplygin problem ⋮ Asymptotically pendulum-like motions of the Hess-Appel'rot gyroscope

Cites Work

• A class of motions of a top in the Goryachev-Chaplygin case
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