Canonical Perturbation Theories : Degenerate Systems and Resonance /
By: Ferraz-Mello, Sylvio [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Astrophysics and Space Science Library: 345Publisher: New York, NY : Springer New York, 2007.Description: XIV, 346 p. 60 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387389059.Subject(s): Physics | Applied mathematics | Engineering mathematics | Observations, Astronomical | Astronomy -- Observations | Astrophysics | Physics | Astrophysics and Astroparticles | Theoretical, Mathematical and Computational Physics | Astronomy, Observations and Techniques | Applications of MathematicsDDC classification: 523.01 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK8031 |
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.
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.
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