Canonical Perturbation Theories, Degenerate Systems, and Resonance

Canonical Perturbation Theories, Degenerate Systems, and Resonance

Author
Sylvio Ferraz-Mello
Publication Year
2007
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Physics

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.


Keywords: Physics and Astronomy / Celestial mechanics / Hamiltonian / Lie-series theories / Mechanics / Nonlinear / Resonances