Research Catalog

Canonical perturbation theories : degenerate systems and resonance

Title
Canonical perturbation theories : degenerate systems and resonance / Sylvio Ferraz-Mello.
Author
Ferraz-Mello, Sylvio.
Publication
New York : Springer, [2007], ©2007.

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TextRequest in advance QB361 .F47 2007gOff-site

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Details

Description
xiv, 341 pages : illustrations; 25 cm.
Series Statement
Astrophysics and space science library ; v. 345
Uniform Title
Astrophysics and space science library ; v. 345.
Subject
  • Perturbation (Astronomy)
  • Hamiltonian systems
  • Series, Lie
  • Hamilton-Jacobi equations
  • Celestial mechanics
Bibliography (note)
  • Includes bibliographical references (p. [331]-335) and index.
Contents
1. The Hamilton-Jacobi theory -- 2. Angle-action variables : separable systems -- 3. Classical perturbation theories -- 4. Resonance -- 5. Lie mappings -- 6. Lie series perturbation theory -- 7. Non-singular canonical variables -- 8. Lie series theory for resonant systems -- 9. Single resonance near a singularity -- 10. Nonlinear oscillators -- A. Bohlin theory -- B. The simple pendulum -- C. Andoyer Hamiltonian with k = 1 -- D. Andoyer Hamiltonians with k [actual symbol not reproducible] 2.
ISBN
  • 0387389008
  • 9780387389004
LCCN
2006931783
OCLC
  • ocm80014854
  • 80014854
  • SCSB-5320209
Owning Institutions
Columbia University Libraries