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paper

Jacobi fields of completely integrable Hamiltonian systems

arXiv:math-ph/0205026 · doi:10.1016/S0375-9601(03)00211-1

Abstract

We show that Jacobi fields of a completely integrable Hamiltonian system of m degrees of freedom also make up a completely integrable system. They provide m additional first integrals which characterize a relative motion.

6 pages