The Euler problem in solid body dynamics and the Jacobi problem about geodesics on all ellipsoid are not topologically conjugate

DOI10.1007/BF02355730zbMath0917.58012MaRDI QIDQ1274047

O. E. Orel

Publication date: 23 March 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Euler problemJacobi problemgeodesic flow of ellipsoids

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid

Cites Work

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• A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom

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