ABSTRACT

The Restless Universe: Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems stimulates the cross-fertilization of ideas, methods, and applications among the different communities who work in the gravitational N-body problem arena, across diverse fields of astrophysics. The chapters and topics cover three broad the

chapter |20 pages

Escape in Hill’s problem

chapter |22 pages

Non-integrable galactic dynamics

chapter |12 pages

The Fast Lyapunov Indicator

Detection of the Arnold web for Hamiltonian systems and symplectic mappings with 3 degrees of freedom.

chapter |26 pages

Non-integrability in gravitational and cosmological models

Introduction to Ziglin theory and its differential Galois extension