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Galactic dynamics

Author: James Binney; Scott Tremaine
Publisher: Princeton : Princeton University Press, ©2008.
Series: Princeton series in astrophysics.
Edition/Format:   Book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
An authoritative introduction to galactic astrophysics for advanced undergraduate students, graduate students, and researchers, this second edition has been updated with advances in the subject since the 1987 edition.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: James Binney; Scott Tremaine
ISBN: 9780691130262 0691130264 9780691130279 0691130272
OCLC Number: 195749071
Description: xvi, 885 p., [16] p. of plates : ill. (some col.) ; 24 cm.
Contents: 1.1 An overview of the observations 5 --
Stars 5 --
The Galaxy 11 --
Other galaxies 19 --
Elliptical galaxies 20 --
Spiral galaxies 25 --
Lenticular galaxies 28 --
Irregular galaxies 28 --
Open and globular clusters 29 --
Groups and clusters of galaxies 30 --
Black holes 32 --
1.2 Collisionless systems and the relaxation time 33 --
The relaxation time 34 --
1.3 The cosmological context 37 --
Kinematics 38 --
Geometry 39 --
Dynamics 40 --
The Big Bang and inflation 45 --
The cosmic microwave background 48 --
2 Potential Theory 55 --
2.1 General results 56 --
The potential-energy tensor 59 --
2.2 Spherical systems 60 --
Newton's theorems 60 --
Potential energy of spherical systems 63 --
Potentials of some simple systems 63 --
Point mass 63 --
Homogeneous sphere 63 --
Plummer model 65 --
Isochrone potential 65 --
Modified Hubble model 66 --
Power-law density model 68 --
Two-power density models 70 --
2.3 Potential-density pairs for flattened systems 72 --
Kuzmin models and generalizations 72 --
Logarithmic potentials 74 --
Poisson's equation in very flattened systems 77 --
2.4 Multipole expansion 78 --
2.5 The potentials of spheroidal and ellipsoidal systems 83 --
Potentials of spheroidal shells 84 --
Potentials of spheroidal systems 87 --
Potentials of ellipsoidal systems 94 --
Ferrers potentials 95 --
Potential-energy tensors of ellipsoidal systems 95 --
2.6 The potentials of disks 96 --
Disk potentials from homoeoids 96 --
The Mestel disk 99 --
The exponential disk 100 --
Thick disks 102 --
Disk potentials from Bessel functions 103 --
Application to axisymmetric disks 106 --
Disk potentials from logarithmic spirals 107 --
Disk potentials from oblate spheroidal coordinates 109 --
2.7 The potential of our Galaxy 110 --
The bulge 111 --
The dark halo 112 --
The stellar disk 112 --
The interstellar medium 112 --
The bulge as a bar 117 --
2.8 Potentials from functional expansions 118 --
Bi-orthonormal basis functions 120 --
Designer basis functions 120 --
2.9 Poisson solvers for N-body codes 122 --
Direct summation 123 --
Softening 123 --
Tree codes 125 --
Cartesian multipole expansion 127 --
Particle-mesh codes 129 --
Periodic boundary conditions 131 --
Vacuum boundary conditions 132 --
Mesh refinement 135 --
P[superscript 3]M codes 135 --
Spherical-harmonic codes 136 --
Simulations of planar systems 137 --
3 The Orbits of Stars 142 --
3.1 Orbits in static spherical potentials 143 --
Spherical harmonic oscillator 147 --
Kepler potential 147 --
Isochrone potential 149 --
Hyperbolic encounters 153 --
Constants and integrals of the motion 155 --
3.2 Orbits in axisymmetric potentials 159 --
Motion in the meridional plane 159 --
Surfaces of section 162 --
Nearly circular orbits: epicycles and the velocity ellipsoid 164 --
3.3 Orbits in planar non-axisymmetric potentials 171 --
Two-dimensional non-rotating potential 171 --
Two-dimensional rotating potential 178 --
Weak bars 188 --
Lindblad resonances 188 --
Orbits trapped at resonance 193 --
3.4 Numerical orbit integration 196 --
Symplectic integrators 197 --
Modified Euler integrator 197 --
Leapfrog integrator 200 --
Runge-Kutta and Bulirsch-Stoer integrators 201 --
Multistep predictor-corrector integrators 202 --
Multivalue integrators 203 --
Adaptive timesteps 205 --
Individual timesteps 206 --
Regularization 208 --
Burdet-Heggie regularization 208 --
Kustaanheimo-Stiefel (KS) regularization 210 --
3.5 Angle-action variables 211 --
Orbital tori 212 --
Time averages theorem 215 --
Action space 216 --
Hamilton-Jacobi equation 217 --
Angle-action variables for spherical potentials 220 --
Angle-action variables for flattened axisymmetric potentials 226 --
Stackel potentials 226 --
Epicycle approximation 231 --
Angle-action variables for a non-rotating bar 234 --
3.6 Slowly varying potentials 237 --
Adiabatic invariance of actions 237 --
Applications 238 --
Harmonic oscillator 238 --
Eccentric orbits in a disk 240 --
Transient perturbations 240 --
Slow growth of a central black hole 241 --
3.7 Perturbations and chaos 243 --
Hamiltonian perturbation theory 243 --
Trapping by resonances 246 --
Levitation 250 --
From order to chaos 253 --
Irregular orbits 256 --
Frequency analysis 258 --
Liapunov exponents 260 --
3.8 Orbits in elliptical galaxies 262 --
The perfect ellipsoid 263 --
Dynamical effects of cusps 263 --
Dynamical effects of black holes 266 --
4 Equilibria of Collisionless Systems 274 --
4.1 The collisionless Boltzmann equation 275 --
Limitations of the collisionless Boltzmann equation 278 --
Finite stellar lifetimes 278 --
Correlations between stars 279 --
Relation between the DF and observables 280 --
4.2 Jeans theorems 283 --
Choice of f and relations between moments 285 --
DF depending only on H 285 --
DF depending on H and L 286 --
DF depending on H and L[subscript z] 286 --
4.3 DFs for spherical systems 287 --
Ergodic DFs for systems 288 --
Ergodic Hernquist, Jaffe and isochrone models 290 --
Differential energy distribution 292 --
DFs for anisotropic spherical systems 293 --
Models with constant anisotropy 294 --
Osipkov-Merritt models 297 --
Other anisotropic models 298 --
Differential-energy distribution for anisotropic systems 299 --
Spherical systems defined by the DF 299 --
Polytropes and the Plummer model 300 --
The isothermal sphere 302 --
Lowered isothermal models 307 --
Double-power models 311 --
Michie models 312 --
4.4 DFs for axisymmetric density distributions 312 --
DF for a given axisymmetric system 312 --
Axisymmetric systems specified by f(H, L[subscript z]) 314 --
Fully analytic models 314 --
Rowley models 318 --
Rotation and flattening in spheroids 320 --
The Schwarzschild DF 321 --
4.5 DFs for razor-thin disks 329 --
Mestel disk 329 --
Kalnajs disks 330 --
4.6 Using actions as arguments of the DF 333 --
Adiabatic compression 335 --
Cusp around a black hole 336 --
Adiabatic deformation of dark matter 337 --
4.7 Particle-based and orbit-based models 338 --
N-body modeling 339 --
Softening 341 --
Instability and chaos 341 --
Schwarzschild models 344 --
4.8 The Jeans and virial equations 347 --
Jeans equations for spherical systems 349 --
Effect of a central black hole on the observed velocity dispersion 350 --
Jeans equations for axisymmetric systems 353 --
Asymmetric drift 354 --
Spheroidal components with isotropic velocity dispersion 356 --
Virial equations 358 --
Scalar virial theorem 360 --
Spherical systems 361 --
The tensor virial theorem and observational data 362 --
4.9 Stellar kinematics as a mass detector 365 --
Detecting black holes 366 --
Extended mass distributions of elliptical galaxies 370 --
Dynamics of the solar neighborhood 372 --
4.10 The choice of equilibrium 376 --
The principle of maximum entropy 377 --
Phase mixing and violent relaxation 379 --
Phase mixing 379 --
Violent relaxation 380 --
Numerical simulation of the relaxation process 382 --
5 Stability of Collisionless Systems 394 --
Linear response theory 396 --
Linearized equations for stellar and fluid systems 398 --
5.2 The response of homogeneous systems 401 --
Physical basis of the Jeans instability 401 --
Homogeneous systems and the Jeans swindle 401 --
The response of a homogeneous fluid system 403 --
The response of a homogeneous stellar system 406 --
Unstable solutions 410 --
Neutrally stable solutions 411 --
Damped solutions 412 --
5.3 General theory of the response of stellar systems 417 --
The polarization function in angle-action variables 418 --
The Kalnajs matrix method 419 --
The response matrix 421 --
5.4 The energy principle and secular stability 423 --
The energy principle for fluid systems 423 --
The energy principle for stellar systems 427 --
The relation between the stability of fluid and stellar systems 431 --
5.5 The response of spherical systems 432 --
The stability of spherical systems with ergodic DFs 432 --
The stability of anisotropic spherical systems 433 --
Physical basis of the radial-orbit instability 434 --
Landau damping and resonances in spherical systems 437 --
5.6 The stability of uniformly rotating systems 439 --
The uniformly rotating sheet 439 --
Kalnajs disks 444 --
Maclaurin spheroids and disks 449 --
6 Disk Dynamics and Spiral Structure 456 --
6.1 Fundamentals of spiral structure 458 --
Images of spiral galaxies 460 --
Spiral arms at other wavelengths 462 --
Dust 464 --
Relativistic electrons 465 --
Molecular gas 465 --
Neutral atomic gas 465 --
HII regions 467 --
The geometry of spiral arms 468 --
The strength and number of arms 468 --
Leading and trailing arms 469 --
The pitch angle and the winding problem 471 --
The pattern speed 474 --
The anti-spiral theorem 477 --
Angular-momentum transport by spiral-arm torques 478 --
6.2 Wave mechanics of differentially rotating disks 481 --
Kinematic density waves 481 --
Resonances 484 --
The dispersion relation for tightly wound spiral arms 485 --
The tight-winding approximation 485 --
Potential of a tightly wound spiral pattern 486 --
The dispersion relation for fluid disks 488 --
The dispersion relation for stellar disks 492 --
Local stability of differentially rotating disks 494 --
Long and short waves 497 --
Group velocity 499 --
Energy and angular momentum in spiral waves 503 --
6.3 Global stability of differentially rotating disks 505 --
Numerical work on disk stability 505 --
Swing amplifier and feedback loops 508 --
The swing amplifier 508 --
Feedback loops 512
Series Title: Princeton series in astrophysics.
Responsibility: James Binney and Scott Tremaine.

Abstract:

Offers an introduction to galactic astrophysics to advanced undergraduate students, graduate students, and researchers. This book covers topics including N-body simulation methods, black holes in  Read more...

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James Binney, Winner of the 2013 Eddington Medal, Royal Astronomical Society "All astronomers and dynamicists should acquire and read this impressive book. It is both readable and rigorous: destined Read more...

 
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