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Gravitational N-Body Simulations: Tools and Algorithms
     

Gravitational N-Body Simulations: Tools and Algorithms

by Sverre J. Aarseth
 

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ISBN-10: 0521121531

ISBN-13: 9780521121538

Pub. Date: 10/15/2009

Publisher: Cambridge University Press

This self-contained book presents basic methods of numerical simulation of gravitational systems, with applications in astronomy and cosmology. The first half of the book presents 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

Overview

This self-contained book presents basic methods of numerical simulation of gravitational systems, with applications in astronomy and cosmology. The first half of the book presents 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 known planetary and astrophysical phenomena such as Hubble motion. The second half of the book demonstrates how to develop clear and elegant algorithms for models of gravitational systems.

Product Details

ISBN-13:
9780521121538
Publisher:
Cambridge University Press
Publication date:
10/15/2009
Series:
Cambridge Monographs on Mathematical Physics Series
Pages:
430
Product dimensions:
6.60(w) x 9.60(h) x 1.10(d)

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.

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