Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems (Hardcover, 2006)

Preface.- Lecturers.- Part I Tools of Order.- Canonical perturbation theory for nearly integrable systems; A. Giorgilli, U. Locatelli.- Periodic orbits in gravitational systems; J.D. Hadjedemetriou.- Periodic solutions in gravitational problems and the structure of solution space; P.J. Message.- General properties of three-body systems with Hill-type stability; C. Marchal.- Part II Tools for investigation of chaos and its sources.- The fine structure of Hamiltonian systems revealed using The Fast Lyapunov Indicator; C. Froeschle, E. Lega.- Fourier analysis of chaotic motions and applications to celestial mechanics; M. Guzzo.- Part III Sources of chaos.- Basics of regularization theory; A. Celletti.- Order and chaos in satellite encounters; J. Waldvogel.- Part IV Applications.- Regular motions in extra-solar planetary systems; S. Ferraz-Mello et al.- Tides on Europe; R. Greenberg.- Numerical evaluation of love's solution for tidal amplitude; T.A. Hurford et al.- On the general solutions of Hilbert-Einstein field equations in vacuum; C. Marchal.- Participants.-