Restless Universe Applications of Gravitational N-Body Dynamics to Planetary Stellar and Galactic Systems

Steves, Bonnie

• Solar system dynamics N-body simulations of the Solar System, planet formation, and galaxy clusters, On the Trojan problem, Ideal resonance and Melnikov’s theorem, The Yarkovsky effect in the dynamics of the Solar System, Are science and celestial mechanics deterministic? Henri Poincaré, philosopher and scientist, Stellar kinematics and dynamics, Regularization methods for the N-body problem, Escape in Hill’s problem, Galactic dynamics, Galaxies: from kinematics to dynamics, Non-integrable galactic dynamics, Evolution of galaxies due to self-excitation, Cosmology - Large scale structure dynamics, Dynamical methods for reconstructing the large scale galaxy density and velocity fields, Cosmological numerical simulations: past, present and future, Gravitational N-body simulation of large-scale cosmic structure, General dynamics, Periodic orbits of the planar N-body problem with equal masses and all bodies on the same path, Central configurations revisited, Surfaces of separation in the Caledonian Symmetrical Double Binary Four Body Problem, The Fast Lyapunov Indicator, Determination of chaotic attractors in short discrete time series, Non-integrability in gravitational and cosmological models, Index

"As a quick guide to the book, the section headings are Solar Systems, Stellar Kinematics and Dynamics, General Dynamics. Most sections contain three to six articles. Inevitably with such a wide range of topics one finds some more interesting than others. In general I found the expositions to be clear and concise and to be good introductions, and in some cases more than introductions to the paritcular topic or method … As a graduate text, the book will remain relevant for some years and as a commentary on the state of the art it is of current interest. As a textbook, selected chapters could be used as a course text or as background reading but individual sections could be useful in providing a quick review or introduction to one or more of the approaches."-D.R. Matravers, University of Portsmouth, Hampshire, UK