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Introduction to Stellar Dynamics [Kõva köide]

(Università degli Studi, Bologna, Italy)
  • Formaat: Hardback, 300 pages, kõrgus x laius x paksus: 250x175x22 mm, kaal: 790 g, Worked examples or Exercises
  • Ilmumisaeg: 10-Jun-2021
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107001536
  • ISBN-13: 9781107001534
Teised raamatud teemal:
Introduction to Stellar DynamicsSuurem pilt
  • Formaat: Hardback, 300 pages, kõrgus x laius x paksus: 250x175x22 mm, kaal: 790 g, Worked examples or Exercises
  • Ilmumisaeg: 10-Jun-2021
  • Kirjastus: Cambridge University Press
  • ISBN-10: 1107001536
  • ISBN-13: 9781107001534
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9781107001534.html
Märksõnad:
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.

Stellar dynamics plays an important role in many areas of astrophysics. This text bridges the gap between the standard texts and specialist literature on the topic. Ideal for advanced students, fundamental ideas and techniques are explored thoroughly to give a strong grounding for exploring the subject further.

Arvustused

'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 eld 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

Muu info

A thorough presentation of the fundamental concepts of stellar dynamics that bridges the gap between standard texts and advanced treatises.
Preface ix
Part I Potential Theory 1(102)
1 The Gravitational Field
3(11)
1.1 The Gravitational Field of a Point Mass and of Extended Distributions
3(2)
1.2 Newton's First and Second Theorems
5(2)
1.3 The Gauss Theorem and the Gravitational Field
7(3)
Exercises
10(4)
2 The Gravitational Potential
14(35)
2.1 The Gravitational Potential
14(5)
2.2 Newton's Third Theorem
19(9)
2.3 Multipole Expansion
28(2)
2.4 The Green Function for the Poisson Equation
30(6)
Exercises
36(13)
3 Tidal Fields
49(21)
3.1 The Tidal Potential and the Tidal Field
49(4)
3.2 Rigid Bodies in Tidal Fields
53(10)
3.3 Stellar Orbits in Tidal Fields
63(2)
Exercises
65(5)
4 The Two-Body Problem
70(13)
4.1 Center of Mass and the Reduced Mass
70(3)
4.2 The Slingshot Effect
73(5)
4.3 The Laplace-Runge-Lenz Vector
78(2)
Exercises
80(3)
5 Quasi-Circular Orbits
83(20)
5.1 Orbits in Axisymmetric Potentials
83(3)
5.2 Second-Order Epicyclic Approximation
86(4)
5.3 Oort's Constants
90(4)
Exercises
94(9)
Part II Systems of Particles 103(46)
6 The N-Body Problem and the Virial Theorem
105(19)
6.1 The N-Body Problem and the Lagrange-Jacobi Identity
105(6)
6.2 The Scalar Virial Theorem
111(8)
Exercises
119(5)
7 Relaxation 1: Two-Body Relaxation
124(13)
7.1 The Granular Nature of Stellar Systems
124(2)
7.2 The Impulsive Approximation
126(6)
7.3 Relaxation Time for Self-Gravitating Systems
132(2)
Exercises
134(3)
8 Relaxation 2: Dynamical Friction
137(12)
8.1 The Chandrasekhar Formula
137(2)
8.2 Dynamical Friction in the Presence of a Mass Spectrum
139(6)
8.3 Astrophysical Applications and Final Comments
145(1)
Exercises
146(3)
Part III Collisionless Systems 149(147)
9 The Collisionless Boltzmann Equation and the Jeans Theorem
151(21)
9.1 The Liouville Equation
151(4)
9.2 The Collisionless Boltzman Equation
155(6)
9.3 Integrability and the Jeans Theorem
161(6)
Exercises
167(5)
10 The Jeans Equations and the Tensor Virial Theorem
172(25)
10.1 The Method of Moments
172(2)
10.2 The Jeans Equations
174(2)
10.3 Analogies with and Differences from Fluid Dynamics
176(3)
10.4 Stellar Dynamics and Gas Dynamics in Stellar Systems
179(6)
10.5 The Tensor Virial Theorem
185(4)
Exercises
189(8)
11 Projected Dynamics
197(14)
11.1 The Projection Operator
197(3)
11.2 Projected Velocity Moments
200(3)
11.3 Velocity and Line Profiles
203(2)
11.4 The Projected Virial Theorem
205(3)
Exercises
208(3)
12 Modeling Techniques 1: Phase-Space Approach
211(25)
12.1 The Construction of a Galaxy Model: From f top
211(3)
12.2 Spherical Systems
214(13)
12.3 Two-Integral Axisymmetric Systems
227(5)
Exercises
232(4)
13 Modeling Techniques 2: Moments Approach
236(45)
13.1 The Construction of a Galaxy Model: Starting with the Jeans Equations
236(1)
13.2 The Choice of the Density Distribution
237(18)
13.3 The Solution of the Jeans Equations
255(11)
13.4 The Fundamental Plane of Elliptical Galaxies and the Virial Theorem
266(3)
Exercises
269(12)
14 Modeling Techniques 3: From p to f
281(15)
14.1 Recovering the DF
281(4)
14.2 Axisymmetric and Triaxial Models
285(1)
14.3 Testing the Consistency
286(4)
14.4 The GDSAI
290(4)
Exercises
294(2)
Appendix Mathematical Background 296(37)
A.1 Identities of Vector Calculus
296(8)
A.2 Special Functions
304(9)
A.3 Fourier Transforms and Series
313(1)
A.4 The Gauss and Stokes Theorems
314(5)
A.5 Green Identities
319(1)
A.6 The Helmholtz Decomposition Theorem
319(1)
A.7 Green Functions
320(2)
A.8 Differential Operators in Orthogonal Curvilinear Coordinates
322(4)
A.9 The "Co-Area" Theorem
326(2)
A.10 Transport Theorems
328(5)
References 333(11)
Index 344
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.