Stability and Chaos in Celestial Mechanics

• Main Author: Celletti, Alessandra (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Springer Praxis Books
• Subjects: Physics.; Mechanics.; Astronomy.; Astrophysics.; Cosmology.; Statistical physics.; Dynamical systems.; Astronomy, Astrophysics and Cosmology.; Astrophysics and Astroparticles.; Statistical Physics, Dynamical Systems and Complexity.; Mathematical Methods in Physics.

Table of Contents:

• Order and chaos
• Numerical dynamical methods
• Kepler’s problem
• The three-body problem and the Lagrangian solutions
• Rotational dynamics
• Perturbation theory
• Invariant tori
• Long-time stability
• Determination of periodic orbits
• Regularization theory.