The Restless Universe - Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems SUSSP 54 (Scottish Graduate Series)

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 themes: the dynamics of the solar system, the dynamics of galaxies and star clusters, and the large scale structure of the universe. The book is essential reading for scientists and graduate students studying N-body dynamics, from the fundamental techniques to the cutting edge of modern research in planetary, stellar, and galactic systems. N-body Simulations Of The Solar System, Planet Formation, And Galaxy Clusters / Thomas Quinn -- On The Trojan Problem / Rudolf Dvorak And Elke Pilat-lohinger -- Ideal Resonance And Melnikov's Theorem / Philip J. Message -- The Yarkovsky Effect In The Dynamics Of The Solar System / David Vokrouhlicky -- Are Science And Celestial Mechanics Deterministic? Henri Poincare, Philosopher And Scientist / Christian Marchal -- Regularization Methods For The N-body Problem / Sverre J. Aarseth -- Escape In Hill's Problem / Douglas C. Heggie -- Galaxies: From Kinematics To Dynamics / Michael R. Merrifield -- Non-integrable Galactic Dynamics / David Merritt -- Evolution Of Galaxies Due To Self-excitation / Martin D. Weinberg -- Dynamical Methods For Reconstructing The Large Scale Galaxy Density And Velocity Fields / Martin Hendry -- Cosmological Numerical Simulations: Past, Present And Future / Gustavo Yepes -- Gravitational N-body Simulation Of Large-scale Cosmic Structure / H. M. P. Couchman -- Periodic Orbits Of The Planar N-body Problem With Equal Masses And All Bodies On The Same Path / Carles Simo -- Central Configurations Revisited / Jorg Waldvogel -- Surfaces Of Separation In The Caledonian Symmetrical Double Binary Four Body Problem / Bonnie A. Steves And Archie E. Roy -- The Fast Lyapunov Indicator / Claude Froeschle, Massimiliano Guzzo And Elena Lega -- Determination Of Chaotic Attractors In Short Discrete Time Series / Alessandra Celletti, Claude Froeschle And Igor V. Tetko / [et Al.] -- Non-integrability In Gravitational And Cosmological Models / Andrzej J. Maciejewski. Edited By B.a. Steves, A.j. Maciejewski. A Nato Advanced Study Institute. Includes Bibliographical References And Index. Brings together ideas, methods and applications from the different communities who work in the gravitational N-body problem. The chapters and topics cover three broad themes: the dynamics of the solar system; the dynamics of galaxies and star clusters; and the large-scale structure of the universe