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Canonical Perturbation Theories : Degenerate Systems and Resonance

	Author(s):	Sylvio Ferraz-Mello
	Collection:	Astrophysics and Space Science Library 345
	Publisher:	Springer-Verlag New York
	Year:	2007
	Language:	English
	Pages:	350 pages
	Size:	3.92 MB
	Extension:	PDF

[tab] [content title="Description"]Canonical Perturbation Theories, Degenerate Systems and Resonance presents the foundations of Hamiltonian Perturbation Theories used in Celestial Mechanics, emphasizing the Lie Series Theory and its application to degenerate systems and resonance. This book is the complete text on the subject including advanced topics in Hamiltonian Mechanics, Hori’s Theory, and the classical theories of Poincaré, von Zeipel-Brouwer, and Delaunay. Also covered are Kolmogorov’s frequency relocation method to avoid small divisors, the construction of action-angle variables for integrable systems, and a complete overview of some problems in Classical Mechanics. Sylvio Ferraz-Mello makes these ideas accessible not only to Astronomers, but also to those in the related fields of Physics and Mathematics. [/content] [content title="Content"] [/content] [content title="About the author"]Sylvio Ferraz Mello Astronomer Teaching : University of Paris Books : Canonical Perturbation Theories: Degenerate Systems and Resonance [/content] [/tab]

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