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The Gravitational Million–Body Problem

The Gravitational Million–Body Problem
A Multidisciplinary Approach to Star Cluster Dynamics

£140.00

  • Date Published: January 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521773034

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About the Authors
  • The globular star clusters of the Milky Way contain hundreds of thousands of stars held together by gravitational interactions, and date from the time when the Milky Way was forming. This 2003 text describes the theory astronomers need for studying globular star clusters. The gravitational million-body problem is an idealised model for understanding the dynamics of a cluster with a million stars. After introducing the million-body problem from various view-points, the book systematically develops the tools needed for studying the million-body problems in nature, and introduces the most important theoretical models. Including a comprehensive treatment of few-body interactions, and developing an intuitive but quantitative understanding of the three-body problem, the book introduces numerical methods, relevant software, and current problems. Suitable for graduate students and researchers in astrophysics and astronomy, this text also has important applications in the fields of theoretical physics, computational science and mathematics.

    • Provides an insight to the most recent developments in the field of collisional stellar dynamics
    • Written to be accessible to astronomers, theoretical physicists, computational scientists and mathematicians
    • Complete with exercises throughout to test, consolidate and extend knowledge
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    Reviews & endorsements

    '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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    Product details

    • Date Published: January 2003
    • format: Hardback
    • isbn: 9780521773034
    • length: 372 pages
    • dimensions: 244 x 170 x 22 mm
    • weight: 0.79kg
    • contains: 85 b/w illus. 5 tables 136 exercises
    • availability: Available
  • 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.

  • Authors

    Douglas Heggie, University of Edinburgh
    Douglas Heggie is Professor of Mathematical Astronomy at the University of Edinburgh, Scotland.

    Piet Hut, Institute for Advanced Study, Princeton, New Jersey
    Piet Hut is Professor of Astrophysics at the Institute for Advanced Study, Princeton.

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