Instabilities in Dynamical Systems: Applications to Celestial Mechanics [Paperback]

Proceedings of the NATO Advanced Study Institute, Cortina D'Ampezzo, Italy, July 30-August 12, 1978I: Fundamental Considerations of Stability.- Simple Non-Integrable Systems with Two Degrees of Freedom.- Instabilities in Systems of Three Degrees of Freedom.- Perturbed Twist Maps, Homoclinic Points and Ergodic Zones.- Bifurcation Theory and its Applications.- General Considerations of Stability in Celestial Mechanics.- II: Aspects of Numerical Analysis and Statistical Mechanics.- An N-Body Integration Method in Co-Moving Coordinates.- The General Theory of Conservative Stabilization of the Keplerian Problem.- Celestial Mechanics, Quantum Mechanics, and Path Integration.- Statistical Viewpoint in Classical Mechanics.- III: Stability of Planetary Systems.- Evolution of Orbits in the Outer Part of the Asteroidal Belt and in the Kirkwood Gaps as Influenced by the Mass Effects of Saturn and Jupiter.- On the Stability of Resonant Motion in the Light of the Regularizing function.- The Rings of Saturn and Uranus.- Instabilities in Periodic Planetary-Type Orbits.- Bounds on Secular Terms in Celestial Mechanics.- Empirical Stability Criteria in the Many-Body Problem.- Instabilities in Planetary Systems.- IV: The Problem of Three Bodies.- Note on the Triangular Lagrangian Points in the Elliptic Restricted Problem of Three Bodies.- Periodic Orbits with and without Symmetry in the Three-Dimensional General Three-Body Problem.- The Vicinity of the Primary of Small Mass in the Restricted Problem.- Stab1e and Unstable Manifolds in Planar Triple Collision.- V: Abstracts of Seminar-Contributions.- Cluster Formation and Gravitational Instabilities.- Application of a New Numerical Method for the Integration of the Equations of Motion for an N-Body System.- Evolution of a Mission Concept from a Solar Probe to a Solar Orbiter.- Simulation of Dynamical and Thermal Behaviour of Skyhook System.- The Jacobian Integral in the Elliptic Restricted Three-Body Problem.- Effect of Mass-Parameter olC¶