Existence of Liouvillian solutions in the problem of rolling motion of a dynamically symmetric ball on a perfectly rough sphere

DOI10.3103/S1063454118040106zbMath1455.70004OpenAlexW2914464300MaRDI QIDQ2289422

V. A. Katasonova, Alexander S. Kuleshov

Publication date: 28 January 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454118040106

zbMATH Keywords

Liouvillian solutionsdynamically symmetric ballKovacic algorithmbody rolling on sphere

Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (1)

Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis

Cites Work

• Unnamed Item
• An algorithm for solving second order linear homogeneous differential equations
• On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original

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