On Hamiltonian Averaging Theories and Resonance

Author: Ferraz-Mello, S.

Source: Celestial Mechanics and Dynamical Astronomy, Volume 66, Number 1, 1996 , pp. 39-50(12)

Publisher: Springer

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In this article, we review the construction of Hamiltonian perturbation theories with emphasis on Hori's theory and its extension to the case of dynamical systems with several degrees of freedom and one resonant critical angle. The essential modification is the comparison of the series terms according to the degree of homogeneity in both √ and a parameter which measures the distance from the exact resonance, instead of just √.

Document Type: Regular Paper

Affiliations: Instituto Astronômico e Geofísico, Universidade de São Paulo São Paulo, Brasil

Publication date: January 1, 1996

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