Gravitational n-body simulations

Tools and algorithms

Sverre J. Aarseth

428 pages, parution le 27/10/2003

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Résumé

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.

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
Appendix A. Global regularization algorithms
Appendix B. Chain algorithms
Appendix C. High-order systems
Appendix D. Practical algorithms
Appendix E. KS procedures with GRAPE
Appendix F. Alternative simulation method
Appendix G. Table of symbols
Appendix H. Hermite integration method
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Sverre J. Aarseth
Parution	27/10/2003
Nb. de pages	428
Format	18 x 25,5
Couverture	Relié
Poids	880g
Intérieur	Noir et Blanc
EAN13	9780521432726
ISBN13	978-0-521-43272-6