Integrable cases of a rigid body dynamics and integrable systems on the ellipsoids

DOI10.1007/BF01206941zbMath0597.58008MaRDI QIDQ1079246

Oleg I. Bogoyavlenskij

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

rigid body dynamicseigenvaluesLagrangian systemintegrable Lagrangian systems on Lie group SO(3)integrable Lagrangian systems on the spheres \(S^ 3\) and \(S^ 2\)

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

• Integrable one-particle potentials related to the Neumann system and the Jacobi problem of geodesic motion on an ellipsoid.
• New integrable problem of classical mechanics
• Geodesics on the ellipsoid
• Transversal Homoclinic Orbits in an Integrable System
• Integrability of One Particle in a Perturbed Central Quartic Potential
• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point
• Regularization of kepler's problem and the averaging method on a manifold
• The Theory of Magnetic Poles
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