A variant of the Hori-Lie series method

Details A variant of the Hori-Lie series method A variant of the Hori-Lie series method

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35...89c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, Jan. 1985, p. 89-94.

Mathematics

3

Canonical Forms, Celestial Mechanics, Hamiltonian Functions, Lie Groups, Perturbation Theory, Equations Of Motion, Fourier Series, Matrices (Mathematics)

Scientific paper

The Lie-series perturbation method of Hori (1966) is modified to analyze celestial-mechanics problems in which the principal part of the Hamiltonian is a function of the momenta only. The modified procedure is shown to give a solution to any order with only one canonical transformation and to avoid the problems of inversion and pseudotime computation. The applicability of the present procedure to the calculation of artificial-satellite orbits and to analyses of the ideal resonance problem is indicated.

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