What is included with this book?
Preface | p. xiii |
Introduction | p. 1 |
An overview of the observations | p. 5 |
Collisionless systems and the relaxation time | p. 33 |
The relaxation time | p. 34 |
The cosmological context | p. 37 |
Potential Theory | p. 55 |
General results | p. 56 |
The potential-energy tensor | p. 59 |
Spherical systems | p. 60 |
Potential-density pairs for attened systems | p. 72 |
Multipole expansion | p. 78 |
The potentials of spheroidal and ellipsoidal systems | p. 83 |
The potentials of disks | p. 96 |
The potential of our Galaxy | p. 110 |
Potentials from functional expansions | p. 118 |
Poisson solvers for N-body codes | p. 122 |
The Orbits of Stars | p. 142 |
Orbits in static spherical potentials | p. 143 |
Orbits in axisymmetric potentials | p. 159 |
Orbits in planar non-axisymmetric potentials | p. 171 |
Numerical orbit integration | p. 196 |
Angle-action variables | p. 211 |
Slowly varying potentials | p. 237 |
Perturbations and chaos | p. 243 |
Orbits in elliptical galaxies | p. 262 |
Equilibria of Collisionless Systems | p. 274 |
The collisionless Boltzmann equation | p. 275 |
Jeans theorems | p. 283 |
DFs for spherical systems | p. 287 |
DFs for axisymmetric density distributions | p. 312 |
DFs for razor-thin disks | p. 329 |
Using actions as arguments of the DF | p. 333 |
Particle-based and orbit-based models | p. 338 |
The Jeans and virial equations | p. 347 |
Stellar kinematics as a mass detector | p. 365 |
The choice of equilibrium | p. 376 |
Stability of Collisionless Systems | p. 394 |
Introduction | p. 394 |
The response of homogeneous systems | p. 401 |
General theory of the response of stellar systems | p. 417 |
The energy principle and secular stability | p. 423 |
The response of spherical systems | p. 432 |
The stability of uniformly rotating systems | p. 439 |
Disk Dynamics and Spiral Structure | p. 456 |
Fundamentals of spiral structure | p. 458 |
Wave mechanics of differentially rotating disks | p. 481 |
Global stability of differentially rotating disks | p. 505 |
Damping and excitation of spiral structure | p. 518 |
Bars | p. 528 |
Warping and buckling of disks | p. 539 |
Kinetic Theory | p. 554 |
Relaxation processes | p. 555 |
General results | p. 559 |
The thermodynamics of self-gravitating systems | p. 567 |
The Fokker Planck approximation | p. 573 |
The evolution of spherical stellar systems | p. 596 |
Summary | p. 633 |
Collisions and Encounters of Stellar Systems | p. 639 |
Dynamical friction | p. 643 |
High-speed encounters | p. 655 |
Tides | p. 674 |
Encounters in stellar disks | p. 685 |
Mergers | p. 695 |
Galaxy Formation | p. 716 |
Linear structure formation | p. 717 |
Nonlinear structure formation | p. 733 |
N-body simulations of clustering | p. 751 |
Star formation and feedback | p. 760 |
Conclusions | p. 765 |
Useful numbers | p. 770 |
Mathematical background | p. 771 |
Special functions | p. 785 |
Mechanics | p. 792 |
Delaunay variables for Kepler orbits | p. 805 |
Fluid mechanics | p. 807 |
Discrete Fourier transforms | p. 818 |
The Antonov Lebovitz theorem | p. 822 |
The Doremus Feix Baumann theorem | p. 823 |
Angular-momentum transport in disks | p. 825 |
Derivation of the reduction factor | p. 830 |
The diffusion coefficients | p. 833 |
The distribution of binary energies | p. 838 |
References | p. 842 |
Index | p. 857 |
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