A note on the application of the von Zeipel method to degenerate Hamiltonians

Details A note on the application of the von Zeipel method to degenerate Hamiltonians A note on the application of the von Zeipel method to degenerate Hamiltonians

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..19..139h&link_type=abstract

Celestial Mechanics, vol. 19, Feb. 1979, p. 139-145.

Mathematics

2

Hamiltonian Functions, Two Body Problem, Von Zeipel Method, Canonical Forms, Celestial Mechanics, Transformations (Mathematics)

Scientific paper

Through the introduction of a term at each order of the generating function dependent only on the long-period variables, a technique is shown whereby both short- and long-period variables in a degenerate Hamiltonian can be eliminated simultaneously in one transformation with the von Zeipel method, rather than the traditionally separate transformations. The technique is applied to the lunar theory as an example.

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