Canonical Perturbation Theories - Degenerate Systems and Resonance

Details Canonical Perturbation Theories - Degenerate Systems and Resonance Canonical Perturbation Theories - Degenerate Systems and Resonance

Jan 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007assl..345.....f&link_type=abstract

Canonical Perturbation Theories: Degenerate Systems and Resonance. Ferraz-Mello, Sylvio, Universidade de São Paulo, Brazil. Seri

Astronomy and Astrophysics

Astrophysics

17

Scientific paper

The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application. The book is not intended to explore the mathematics of Hamiltonian Systems, but may be useful to mathematicians in a great deal of
circumstances as a reference on the practical application of the theories. In the same way, it may be a source book on the problems of degeneracy and small divisors, which affect the use of perturbation theories as well in Celestial Mechanics as in Physics.
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