Geodesic
Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics
Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 63-100

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In this paper new orbital invariants of integrable Hamiltonian systems with two degrees of freedom are described, considered on non-singular three-dimensional constant-energy surfaces. A classification up to orbit-preserving homeomorphisms is obtained for dynamical systems that describe the rotation of a rigid body around its centre of mass for various values of the parameters. 
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     author = {A. V. Bolsinov and A. T. Fomenko},
     title = {Orbital invariants of integrable {Hamiltonian} systems. {The} case of simple systems. {Orbital} classification of systems of {Euler} type in rigid body dynamics},
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A. V. Bolsinov; A. T. Fomenko. Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics. Izvestiya. Mathematics , Tome 59 (1995) no. 1, pp. 63-100. http://geodesic.mathdoc.fr/item/IM2_1995_59_1_a2/