On the Movement of Gyrostat under the Action of Potential and Gyroscopic Forces

DOI10.15507/2079-6900.24.202201.66-75OpenAlexW4220824201MaRDI QIDQ5882100

Edward Ivanovich Semenov, Alexander Arkad'evich Kosov

Publication date: 15 March 2023

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo822

zbMATH Keywords

controlintegrabilityexact solutionsfirst integralsgyrostatanalogues of classical casesmoment of potential and gyroscopic forces

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Cites Work

• On first integrals and stability of stationary motions of gyrostat
• Exact analytic solution for the rotation of a rigid body having spherical ellipsoid of inertia and subjected to a constant torque
• On the general solution of the problem of the motion of a heavy rigid body in the Hess case
• A new integrable problem with a quartic integral in the dynamics of a rigid body
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