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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: | ||||
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[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
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