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The Fundamentals of Stellar Astrophysics

This book offers a rigorous, theory-driven overview of stellar astrophysics, from the physics of matter, energy generation, and transport to full models of stellar structure and evolution. It covers main-sequence and post–main-sequence stars, relativistic and rotating stars, pulsations, and stellar atmospheres, linking fundamental physics to observable stellar properties and spectra.

Astronomy Cosmology Physics

Author: George W. Collins II
Publisher: Ohio State University
Source: LibreTexts
License: CC0 / Public domain
Language: EN
Category: Basic Sciences

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Contents· 128 sections

01: Introduction and Fundamental Principles
1.01: Introduction
1.02: Stationary or Steady Properties of Matter
1.03: Transport Phenomena
1.04: Equation of State for an Ideal Gas and Degenerate Matter
1.05: Problems
1.06: References and Supplemental Reading
02: Basic Assumptions Theorems and Polytropes
2.01: Basic Assumptions
2.02: Integral Theorems from Hydrostatic Equilibrium
2.03: Homology Transformations
2.04: Polytropes
2.05: Problems
2.06: References and Supplemental Reading
03: Sources and Sinks of Energy
3.01: Introduction
3.02: Energies of Stars
3.03: Time Scales
3.04: Generation of Nuclear Energy
3.05: Problems
3.06: References and Supplemental Reading
04: Flow of Energy through the Star and Construction of Stellar Models
4.01: Introduction
4.02: The Ionization Abundances and Opacity of Stellar Material
4.03: Radiative Transport and the Radiative Temperature Gradient
4.04: Convective Energy Transport
4.05: Energy Transport by Conduction
4.06: Convective Stability
4.07: Equations of Stellar Structure
4.08: Construction of a Model Stellar Interior
4.09: Problems
4.10: References and Supplemental Reading
05: Theory of Stellar Evolution
5.01: Introduction
5.02: The Ranges of Stellar Masses Radii and Luminosity
5.03: Evolution onto the Main Sequence
5.04: The Structure and Evolution of Main Sequence Stars
5.05: Post Main Sequence Evolution
5.06: Summary and Recapitulation
5.07: Problems
5.08: References and Supplemental Reading
06: Relativistic Stellar Structure
6.01: Introduction
6.02: Field Equations of the General Theory of Relativity
6.03: Oppenheimer-Volkoff Equation of Hydrostatic Equilibrium
6.04: Equations of Relativistic Stellar Structure and Their Solutions
6.05: Relativistic Polytrope of Index 3
6.06: Fate of Super-massive Stars
6.07: Problems
6.08: References and Supplemental Reading
07: Structure of Distorted Stars
7.01: Introduction
7.02: Classical Distortion- The Structure Equations
7.03: Solution of Structure Equations for a Perturbing Force
7.04: Von Zeipel's Theorem and Eddington-Sweet Circulation Currents
7.05: Rotational Stability and Mixing
7.06: Problems
7.07: References and Supplemental Reading
08: Stellar Pulsation and Oscillation
8.01: Introduction
8.02: Linear Adiabatic Radial Oscillations
8.03: Linear Nonadiabatic Radial Oscillations
8.04: Nonradial Oscillations
8.05: Problems
8.06: References and Supplemental Reading
09: The Flow of Radiation Through the Atmosphere
9.01: Introduction
9.02: Basic Assumptions for the Stellar Atmosphere
9.03: Equation of Radiative Transfer
9.04: Moments of the Radiation Field
9.05: Moments of the Equation of Radiative Transfer
9.06: Problems
9.07: Supplemental Reading
10: Solution of the Equation of Radiative Transfer
10.01: Introduction
10.02: Classical Solution to the Equation of Radiative Transfer and Integral Equations for the Source Function
10.03: Gray Atmosphere
10.04: Nongray Radiative Transfer
10.05: Radiative Transport in a Spherical Atmosphere
10.06: Problems
10.07: References and Supplemental Reading
11: Environment of the Radiation Field
11.01: Introduction
11.02: Statistics of the Gas and the Equation of State
11.03: Continuous Opacity
11.04: Einstein Coefficients and Stimulated Emission
11.05: Definitions and Origins of Mean Opacities
11.06: Hydrostatic Equilibrium and the Stellar Atmosphere
11.07: Problems
11.08: References
12: The Construction of a Model Stellar Atmosphere
12.01: Statement of the Basic Problem
12.02: Structure of the Atmosphere Given the Radiation Field
12.03: Calculation of the Radiation Field of the Atmosphere
12.04: Correction of the Temperature Distribution and Radiative Equilibrium
12.05: Recapitulation
12.06: Problems
12.07: References and Supplemental Reading
13: Formation of Spectral Lines
13.01: Introduction
13.02: Terms and Definitions Relating to Spectral Lines
13.03: Transfer of Line Radiation through the Atmosphere
13.04: Problems
13.05: Supplemental Reading
14: Shape of Spectral Lines
14.01: Introduction
14.02: Relation between the Einstein Mass Absorption and Atomic Absorption Coefficients
14.03: Natural or Radiation Broadening
14.04: Doppler Broadening of Spectral Lines
14.05: Collisional Broadening
14.06: Curve of Growth of the Equivalent Width
14.07: Problems
14.08: References and Supplemental Reading
15: Breakdown of Local Thermodynamic Equilibrium
15.01: Introduction
15.02: Phenomena Which Produce Departures from Local Thermodynamic Equilibrium
15.03: Rate Equations for Statistical Equilibrium
15.04: Non-LTE Transfer of Radiation and the Redistribution Function
15.05: Line Blanketing and Its Inclusion in the Construction of Model Stellar Atmospheres and Its Inclusion in the Construction of Model Stellar Atmospheres
15.06: Problems
15.07: References and Supplemental Reading
16: Beyond the Normal Stellar Atmosphere
16.01: Introduction
16.02: Illuminated Stellar Atmospheres
16.03: Transfer of Polarized Radiation
16.04: Extended Atmospheres and the Formation of Stellar Winds
16.05: Problems
16.06: References and Supplemental Reading