Theoretical Astrophysics
Wilhelm Kley
Universität Tübingen
Chapter Overview
0. Content
Overview of Lecure
1. Basics: Thermodynamics
1.1 First Law
1.2 Second Law
1.3 Equation of state
1.4 Properties of Gases
1.5 Thermodynamical Potentials
Resources:
Mihalas & Mihalas: Radiation Hydrodynamics, Chap. 1.1
Callen: Thermodynamics, first chapter
2. Basics: Hydrodynamics
2.1 Euler-Equations
2.1.1 Conservation of Mass
2.1.2 Reynolds' Transport-Theorem
2.1.3 Conservation of Momentum
2.1.4 Conservation of Energy
2.2 Navier-Stokes Equations
2.2.1 Momentum equations
2.2.2 Energy equation with Viscosity, Heat conduction
Resources:
Mihalas & Mihalas: Radiation Hydrodynamics
Marsden: Mathematical Introduction to Fluid Mechanics
3. Basic properties of flows and applications
3.1 Ideal flows
3.1.1 Incompressible Flows
3.1.2 Kelvin's Cirkulation Theorem
3.1.3 Bernoulli's Theorem
3.2 Sound Waves
3.3 Bondi Accretion
Resources:
H. Bondi: On spherically symmetric accretion
, MNRAS, 1952, 112,195
(ADS-Link)
Frank, King and Raine: Accretion Power in Astrophysics: Chap 2.5
Shu: Physics of Astrophysics: Vol. II, Chap. 6
4. Shock Waves
4.1 Steepening of Sound Waves
4.1.1 Riemann-Invariants
4.2 Shocks
4.2.1 Steepening of a simple Wavebr>
4.2.2 Rankine-Hugeniot Jump Conditions
4.2.3 Dissipative Effects
4.3 Sedov-Explosion
4.3.1 Time and Length scales
4.3.2 Solution
Resources:
Shu: Physics of Astrophysics: Vol. II, Chap. 15, 17
5. Instabilities
5.1 Introduction
5.2 Rotational Instability
5.3 Rayleigh-Taylor & Kelvin-Helmholtz
5.3.1 Rayleigh-Taylor (heuristical)
5.3.2 Kelvin-Helmholtz (heuristical)
5.3.3 Combined Analyses
5.4 Shear Flows
Resources:
Shu: Physics of Astrophysics: Vol. II, Chap. 8
Padmanabhan: Theoretical Astrophysics: Vol. I, Chap. 8
Shore: Astrophysical Hydrodynamics, Chap. 9
6. Stars
6.1 Jeans Criterion
6.2 Rotation
6.3 Pressureless Collapse
6.4 Collapse Simulation (Larson)
6.5 Polytropic Starns
6.6 Rotating homogeneous Bodies
6.7 Virial Theorem
6.8 Energy Transport in Stars
6.8.1. Radiation
6.8.2. Heat Conduction
6.8.3. Convection
Resources:
Shu: Physics of Astrophysics: Vol. II, Chap. 8, 18
Kippenhahn, Weigert:
Stellar Structure and Evolution, Chap. 3, 19, 26, 72
Shore: Astrophysical Hydrodynamics, Chap. 9
7. Accretion Disks
7.1 Introduction
7.2 Disk Physics
7.2.1 Basic Equation
7.2.2 Stationary, thin disks
7.2.3 Radial structure equations
7.2.4 Boundary conditions (boundary layer)
7.3 A simple stationary Model
7.3.1 The Viscosity
7.3.2 Temperature and radiation characteristics
7.4 Time dependent Model
Resources:
Frank, King & Raine: Accretion Power in Astrophysics
Shu: Physics of Astrophysics: Vol. II, Chap. 7
8. Relativistic Astrophysics
8.1 Introduction
8.2 Foundations of Special Relativity
8.3 Lorentz Transformations
8.4 Relativistic Mechanics
8.5 Jets
8.5.1. Observations
8.5.2. Superluminal Motion
8.5.3. Aberration
9. Magnetohydrodynamics (MHD)
9.1 Introduction
9.2 Approximations of MHD
9.3 Equations of MHD
9.4 Hydromagnetic Waves
9.5 Magnetic Dynamos
9.6 Construction of Dynamos
Resources:
Shu: Physics of Astrophysics: Vol. II, Chap. 21ff
Padmanabhan: Theoretical Astrophysics: Vol. I, Chap. 9.6/7