Tools of Order -- Canonical perturbation theory for nearly integrable systems -- Periodic orbits in gravitational systems -- Periodic solutions in Gravitational Problems and the Structure of Solution Space -- General properties of three-body systems with Hill-type stability -- Tools for investigation of Chaos and its sources -- The fine structure of Hamiltonian systems revealed using the Fast Lyapunov Indicator -- Fourier analysis of chaotic motions and applications to Celestial mechanics -- Sources of Chaos -- Basics of regularization theory -- Order and chaos in Satellite encounters -- Applications -- Regular motions in extra-solar planetary systems -- Tides on Europa -- Numerical evaluation of Love's solution for Tidal amplitude -- On the general solutions of Hilbert-Einstein field equations in vacuum.

Based on the recent NATO Advanced Study Institute "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", this state of the art textbook, written by internationally renowned experts, provides an invaluable reference volume for all students and researchers in gravitational n-body systems. The contributions are especially designed to give a systematic development from the fundamental mathematics which underpin modern studies of ordered and chaotic behaviour in n-body dynamics to their application to real motion in planetary systems. This volume presents an up-to-date synoptic view of the subject.