*Stellar Structure and Evolution* by Christensen-Dalsgaard

Lecture | Topic |

1 | Timescales (dynamical, thermal, nuclear), Observables (parallax, magnitude systems). |

2 | Bolometric luminosity and bolometric corrections, two color plots, H-R diagram, stellar populations. |

3 | Binary system types, stellar pulsations, sunspots/magnetic fields, thermal equilibrium, ideal gas law, basic thermodynamics. |

4 | Adiabatic processes, eqn of state for ionized and partially ionized gas, particle velocity distribution, radiation pressure. |

5 | Degenerate matter, fermi-dirac distributions of particles (relativistic and non-relativistic), boundary conditions for degenerate matter. |

6 | Hydrostatic equilibrium, mass as the fundamental variable, central pressure and temperature, virial theorem. |

7 | Density and pressure in an atmosphere, polytropes. |

8 | Thermal equilibrium, energy transport, transfer equation. |

9 | Sources of opacity, Rosseland mean opacity, Kramer's law opacity. |

10 | Stellar atmospheres (assumptions, grey atmosphere), convection theory, convection in stars. |

11 | Energy carried by convection, mixing length, mass-luminosity relations. |

12 | Hayashi track, boundary conditions, fusion reactions, cross sections. |

13 | Energy release via fusion, reaction rates, p-p chain, CNO cycle. |

14 | Triple alpha process, carbon burning, Vogt-Russel Theorem, Euler method, Predictor-corrector solutions. |

15 | Shooting method for solving non-linear coupled differential equations, boundary condition, relaxation method, linearization. |

16 | Lagrangian variables, Newton's method. |

17 | Star formation - Jeans instability, fragmentation, core formation. |

18 | Core accretion, luminosity of core, hydrostatic contraction, minimum stellar mass. |

19 | ZAMS, metallicity determination, main-sequence turnoff, evolutionary timescales. |

20 | PMS evolution, globular clusters, evolution of the sun, helioseismology. |

21 | PMS evolution for stars greater than 1 solar mass, low mass PMS evolution, helium flash, population I & II stars. |

22 | Tests of stellar evolution models, analysis of star cluster color-magnitude diagrams, isochrones. |

23 | Distances to star clusters via color-magnitude diagram, modeling star cluster evolution. |

24 | High mass star PMS evolution, creation of heavy elements, photodissociation. |

25 | Core reactions in high mass stars, basic supernova events, r- and s-process. |

26 | Compact objects in general, white dwarfs, Chandrasekhar limit. |

27 | Degenerate gas curve, pycnonuclear reactions, inverse beta-decay, thermal properties and evolution of white dwarfs. |

28 | Neutron stars: timescales, equation of state, interior structure, pulsars. |

29 | Non-rotating non-charged black holes: basic relativity, geodesics, light cones, observations at infinity. |

- Magnitude system, color indices, Wien's law, RMS velocity and doppler shifts, average densities
- temperture and pressure gradients, energy density, molecular weights, Saha equation, velocities of particles
- Keplerian orbits, radiation pressure, fluctuations of the solar radius, scale heights of atmospheres, Lane-Emden equation, polytropes
- Pressure and density in the solar photosphere
- Numerical comparison of stellar models/predictions, polytropes
- Energy generation rate, neutrino generation rate, energy generation rate from fusion reactions
- Linearization of equations of stellar structure, predictor-corrector method vs. polytrope model
- Determination of age of Messier 67

Thanks to Megan Novicki for this syllabus.

Joshua E. Barnes (barnes@ifa.hawaii.edu) Last modified: April 26, 2002