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The Gravitational Million–Body Problem
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Table of Contents

Part I. Introductions: 1. Astrophysics introduction; 2. Theoretical physics introduction; 3. Computational physics introduction; 4. Mathematical introduction; Part II. The Continuum Limit: 5. Paradoxical thermodynamics; 6. Statistical mechanics; 7. Motion in a central potential; 8. Some famous models; 9. Methods; Part III. Mean Field Dynamics: 10. Violent relaxation; 11. Internal mass loss; 12. External influences; Part IV. Microphysics: 13. Exponential orbit instability; 14. Two-body relaxation; 15. From Kepler to Kustaanheimo; Part V. Gravothermodynamics: 16. Escape and mass segregation; 17. Gravothermal instability; 18. Core collapse rate for star clusters; Part VI. Gravitational Scattering: 19. Thought experiments; 20. Mathematical three-body scattering; 21. Analytical approximations; 22. Laboratory experiments; 23. Gravitational burning and transmutation; Part VII. Primordial Binaries: 24. Binaries in star clusters; 25. Triple formation and evolution; 26. A non-renewable energy source; Part VIII. Post-Collapse Evolution: 27. Surviving core collapse; 28. Gravothermal oscillations; 29. Dissolution; Part IX. Star Cluster Ecology: 30. Stellar and dynamical evolution; 31. Collisions and capture; 32. Binary star evolution and blue stragglers; 33. Star cluster evolution; Appendices.

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A 2003 graduate text describing the theory astronomers need for studying globular star clusters.

About the Author

Douglas Heggie is Professor of Mathematical Astronomy at the University of Edinburgh, Scotland. Piet Hut is Professor of Astrophysics at the Institute for Advanced Study, Princeton.

Reviews

'The book contains lucid and concise descriptions of most of the important tools in the subject, with only a modest bias towards the authors' own interests.' Classical and Quantum Gravity 'Enhanced by exercises for the reader, this book is a comprehensive preparation for cutting edge research in the field of stellar dynamics.' Orion 'What they did, covers many aspects of the problem: a historical overview, analytical details for the solvable cases, numerical solutions including computer codes for others, applications for astrophysical examples like star clusters, and a reference list covering twenty pages.' Zentralblatt MATH

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