Canonical Perturbation Theories Degenerate Systems and Resonance /

• Main Author: Ferraz-Mello, Sylvio (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2007.
• Series: Astrophysics and Space Science Library, 345
• Subjects: Physics.; Applied mathematics.; Engineering mathematics.; Observations, Astronomical.; Astronomy > Observations.; Astrophysics.; Astrophysics and Astroparticles.; Theoretical, Mathematical and Computational Physics.; Astronomy, Observations and Techniques.; Applications of Mathematics.

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 includ...

Table of Contents:

• The Hamilton-Jacobi Theory
• Angle-Action Variables. Separable Systems
• Classical Perturbation Theories
• Resonance
• Lie Mappings
• Lie Series Perturbation Theory
• Non-Singular Canonical Variables
• Lie Series Theory for Resonant Systems
• Single Resonance near a Singularity
• Nonlinear Oscillators.