Canonical Perturbation Theories Degenerate Systems and Resonance /

• Κύριος συγγραφέας: Ferraz-Mello, Sylvio (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2007.
• Σειρά: Astrophysics and Space Science Library, 345
• Θέματα: 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.
• Φυσική περιγραφή: XIV, 346 p. 60 illus. online resource.
• ISBN: 9780387389059
• ISSN: 0067-0057 ;

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.