Gravitational N-Body Simulations
Gravitational N-Body Simulations
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.
- Unique coverage of the subject, including the mathematics for computational methods of the classical N-body problem
- Algorithms for a wide range of problems in dynamical astronomy and cosmology
- Review of direct N-body simulations with comprehensive bibliography
Reviews & endorsements
Review of the hardback: 'Sverre's dogma of numerical accuracy combined with detailed testing and a deep understanding of the basic algorithmic form runs throughout this book. … as a list of what you need to think about to perform direct N-Body simulations well, this book is excellent.' Contemporary Physics
Review of the hardback: 'Gravitational N-Body Simulations is a masterful summary of computational techniques … written by Sverre Aarseth, a pioneer in the field … Aarseth's long-awaited book is a comprehensive historical survey of the field of N-body experimentation, as well as a 'user's manual' for his NBODY series of codes. … it is a pleasure to see [the material] presented here in such a complete and coherent fashion. … This book should be almost indispensable to N-body practitioners, especially (but not exclusively) those who use one of Aarseth's NBODY codes.' General Relativity and Gravitation
Product details
January 2010Paperback
9780521121538
430 pages
244 × 170 × 22 mm
0.69kg
Available
Table of Contents
- Preface
- 1. The N-body problem
- 2. Predictor-corrector methods
- 3. Neighbour treatments
- 4. Two-body regularization
- 5. Multiple regularization
- 6. Tree codes
- 7. Program organization
- 8. Initial setup
- 9. Decision-making
- 10. Neighbour schemes
- 11. Two-body algorithms
- 12. Chain procedures
- 13. Accuracy and performance
- 14. Practical aspects
- 15. Star clusters
- 16. Galaxies
- 17. Planetary systems
- 18. 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.
