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Dynamical Astronomy

Solar System Dynamics

Solar System Dynamics

Carl D. Murray, Queen Mary, University of London
Stanley F. Dermott, University of Florida

This is the first comprehensive introduction to the dynamics of the Solar System and a benchmark publication in the field of planetary dynamics. Problems in the text and a free Internet MathematicaŽ software package are provided. Clearly written and well illustrated, this is an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics.

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The Gravitational Million-Body Problem

The Gravitational Million-Body Problem
A Multidisciplinary Approach to Star Cluster Dynamics

Douglas Heggie, University of Edinburgh
Piet Hut, Institute for Advanced Study, Princeton, New Jersey

The gravitational million-body problem is a model for understanding the dynamics of rich star clusters. This text describes the theory astronomers need for studying globular star clusters. After introducing the million-body problem from various view-points, the book systematically develops the tools needed for studying the million-body problems in nature, and introduces the most important theoretical models. Written for graduate students and researchers in astrophysics and astronomy, this text also has important applications in the fields of theoretical physics, computational science and mathematics.

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The Three-Body Problem

The Three-Body Problem

Mauri Valtonen, University of Turku, Finland
Hannu Karttunen, University of Turku, Finland

How do three celestial bodies move under their mutual gravitational attraction? This is a problem that has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusions that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time, such methods are presented in a systematic way. The book surveys statistical methods as well as more traditional methods and is suitable for students of celestial mechanics at advanced undergraduate level.

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