Gravitational N-Body Simulations: Tools and Algorithms

by Sverre J. Aarseth

• ISBN13: 9780521121538
• ISBN10: 0521121531
• Edition: 1st
• Format: Paperback
• Copyright: 2009-10-15
• Publisher: Cambridge University Press

Summary

This book discusses in detail all the relevant numerical methods for the classical N-body problem. It demonstrates how to develop clear and elegant algorithms for models of gravitational systems, and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model astrophysical phenomena such as close encounters and the dynamics of black hole binaries. The author reviews relevant work in the field and covers applications to the problems of planetary formation and star cluster dynamics, both of Pleiades type and globular clusters. Self-contained and pedagogical, this book is suitable for graduate students and researchers in theoretical physics, astronomy and cosmology.

Table of Contents

Preface

The N-body problem

Predictor-corrector methods

Neighbour treatments

Two-body regularization

Multiple regularization

Tree codes

Program organization

Initial setup

Decision-making

Neighbour schemes

Two-body algorithms

Chain procedures

Accuracy and performance

Practical aspects

Star clusters

Galaxies

Planetary systems

Small-N experiments

Global regularization algorithms

Chain algorithms

High-order systems

Practical algorithms

KS procedures with GRAPE

Alternative simulation method

Table of symbols

Hermite integration method

References

Index

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