General integrable problems of classical mechanics

DOI10.1007/BF02099039zbMath0782.58026MaRDI QIDQ1803543

Oleg I. Bogoyavlenskij

Publication date: 29 June 1993

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

zbMATH Keywords

Euler equationsLagrange equationscentral configurationshidden symmetrycoupled rigid bodiesNewtonian gravitational fieldcomplete integrability of dynamics

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Free motion of a rigid body (70E15) Dynamics of a system of particles, including celestial mechanics (70F99) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lagrange's equations (70H03)

Related Items (1)

The motion of cross-shaped bodies around a fixed point in a central Newtonian force field

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