Simplification of Perturbed Hamiltonians Through Lie Transformations

Details Simplification of Perturbed Hamiltonians Through Lie Transformations Simplification of Perturbed Hamiltonians Through Lie Transformations

Oct 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000hscm.conf..284p&link_type=abstract

HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HAMSYS-98). Proceedings of the III International Symposium. Held 7-11 December 1998

Physics

Scientific paper

This paper deals with the reduction of perturbed Hamiltonian systems. For this purpose we use a technique based on Lie transformations. Under certain conditions, the number of degrees of freedom of such a system is reduced, by extending an integral of the unperturbed part to the whole transformed system, up to a certain order of approximation. The procedure is illustrated for polynomial, as well as for Keplerian-type systems.

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