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Canonical Perturbation Theories: Degenerate Systems and Resonance

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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 Poincare, von Zeipel-Brouwer, and Delaunay. Also covered are Kolmogorov's frequency relocation method to avoi…