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Introduction to Stellar Dynamics

Author: Luca Ciotti, Università degli Studi, Bologna, Italy

Date Published: June 2021
availability: Available
format: Hardback
isbn: 9781107001534

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The study of stellar dynamics is experiencing an exciting new wave of interest thanks to observational campaigns and the ready availability of powerful computers. Whilst its relevance includes many areas of astrophysics, from the structure of the Milky Way to dark matter halos, few texts are suited to advanced students. This volume provides a broad overview of the key concepts beyond the elementary level, bridging the gap between the standard texts and specialist literature. The author reviews Newtonian gravity in depth before examining the dynamical properties of collisional and collisionless stellar-dynamical systems that result from gravitational interactions. Guided examples and exercises ensure a thorough grounding in the mathematics, while discussions of important practical applications give a complete picture of the subject. Readers are given a sound working knowledge of the fundamental ideas and techniques employed in the field and the conceptual background needed to progress to more advanced graduate-level treatises.
- Combines broad coverage with a rigorous treatment of the mathematics to provide a much-needed bridging text for advanced students and researchers entering the field
- Written by an experienced professor of undergraduate astrophysics who understands the learning challenges faced by newcomers to the subject
- Worked examples, exercises and hints ensure readers can engage with the main concepts
- Includes important observational and numerical applications that can be used directly in research projects
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'This text is notable for its clarity and rigour. It would be perfect for a course directed at mathematically-minded students, from the second year of undergraduate study on, and individuals could use it for self-study … This is also a scholarly book. The literature is extensively, yet selectively, cited from recent times right back to the 18th Century as appropriate Hence the book will make it easy for a newcomer to the ﬁeld to progress to the research frontier.' James Binney, The Observatory
'The book may be of some value to libraries that support students of astrophysics at the graduate and very advanced undergraduate levels … Recommended.' T. Barker, Choice Magazine
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Product details
- Date Published: June 2021
- format: Hardback
- isbn: 9781107001534
- length: 300 pages
- dimensions: 250 x 175 x 22 mm
- weight: 0.79kg
- availability: Available
Table of Contents
Part I. Potential Theory:
1. The gravitational field
2. The gravitational potential
3. Tidal fields
4. The two-body problem
5. Quasi-circular orbits
Part II. Systems of Particles:
6. The N-body problem and the virial theorem
7. Relaxation 1: Two-body relaxation
8. Relaxation 2: Dynamical friction
Part III. Collisionless Systems:
9. The collisionless Boltzmann equation and the Jeans theorem
10. The Jeans equations and the Tensor virial theorem
11. Projected dynamics
12. Modeling techniques 1: Phase-space approach
13. Modeling techniques 2: Moments approach
14. Modeling techniques 3: from ρ to f. Appendix. Bibliography. Index.
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Author
Luca Ciotti, Università degli Studi, Bologna, Italy
Luca Ciotti is Professor of Astronomy and Astrophysics at the University of Bologna, where he has also served for many years as Director of the Collegio Superiore. Since 1992 he has been a long-term visitor of the Princeton University Observatory. His work developed in several fields of theoretical astrophysics, with main interests in stellar dynamics, fluid dynamics, and black hole accretion. This is his second book in the field, having previously written Lecture Notes on Stellar Dynamics (2001) based on the lectures given at the Scuola Normale Superiore in Pisa.