A note on the integration of the equations of Lie-Deprit's method for unspecified canonical variables

Details A note on the integration of the equations of Lie-Deprit's method for unspecified canonical variables A note on the integration of the equations of Lie-Deprit's method for unspecified canonical variables

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35...19s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, Jan. 1985, p. 19-21.

Physics

1

Canonical Forms, Celestial Mechanics, Lie Groups, Measure And Integration, Differential Equations, Hamiltonian Functions

Scientific paper

The Lie-series integration procedure developed by Hori (1966) is applied to the equations derived by Deprit (1969) for unspecified canonical variables of autonomous systems in celestial mechanics. It is shown that the solution required for the determination of the Lie generator and Hamiltonian and the construction of the canonical transformation in the Deprit system can be obtained by the Hori approach, and that the number of degrees of freedom of the dynamical system is reduced by one in the Lie-Deprit canonical mapping.

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