Principles of stellar structure

Contents:

• Title
• Preface
• Contents
• Introduction

• Chapter 18: Vogt-Russell Theorem


1. "Proof" for Uniform Composition Models, 570
2. Physical Interpretation, 573
3. Determination of Chemical Composition in Stellar Interiors, 578
4. Case of Variable Chemical Composition, 579


• Chapter 19: Some Special Cases in Stellar Structure


1. Pressure a Function only of Density, 581
2. General Equation of State, 583
3. Application of V-R Theorem to Cowling Model, 585


• Chapter 20: The Outer Stellar Layers


1. Photospheric Conditions, 587
2. Solution of the Equations of Stellar Structure in the Outer Radiative Layers of a Star, 591
3. Stellar Envelopes in Radiative Equilibrium, 595
4. Radiative Transfer in the Photospheric and Sub-Photospheric Regions, 599
5. Regions on the H-R Diagram Where Convection in Stellar Envelopes is Effective, 609
6. Stellar Envelopes in Convective Equilibrium, 620
7. Temperature Distribution in the Envelope, 636
8. Integrated Adiabats in Hydrogen and Helium Ionization Zones, 638


• Chapter 21: Computation of Stellar Models


1. Equations and Mathematical Nature of the Problem, 644
2. Schwarzschild Dimensionless Variables, 654
3. Transformations for Integrations from the Center, 660
4. Invariants and the U-V Plane, 663
5. Developments at Center and Surface, 667
6. Numerical Integration, 669
7. "Hydrodynamic" and "Henyey" Techniques, 672


• Chapter 22: Homologous Stars


1. Definition of Homologous Stars, 682
2. Transformation of Temperature Under a Homology Transformation, 685
3. Alternative Derivation of Homology Relations, 687
4. Transformation of L_rad Under a Homology Transformation, 689
5. Transformation of L_gen Under a Homology Transformation, 691
6. Permanently Homologous Stars, 692
7. Transformation of L in Permanently Homologous Stars, 695
8. Gravitationally Contracting Stars, 699
9. Case of an Equation of State of the Form P = P(ρ), 701


• Chapter 23: Stellar Models


1. Polytropic Stars, 703
2. Standard Model, 713
3. Uniform Energy Source Model, 717
4. Point-Source (Cowling) Model, 723
5. Completely Convective Stars, 736
6. Chemically Inhomogeneous Models, 759


• Chapter 24: Semi-Degenerate Equations of State


1. Meaning of Degeneracy of Electron Gas, 783
2. Evaluation of η in N.R. and E.R. Regimes, 792
3. Mean Molecular Weight Per Free Electron, 802
4. General Expressions for Electron Density, Pressure, Internal Energy, and Entropy, 804
5. Non-Relativistic (N.R.) and Extreme Relativistic (E.R.) Regimes for Arbitrary Degree of Degeneracy, 812
6. Completely Degenerate Case (η=∞), 816
7. Expansions of the F_k(η,β) and of Other Quantities, 825
8. Criteria for Degeneracy and Regions of Degeneracy on the ρ-T Plane, 842
9. Effect of Electron-Positron Pairs, 851


• Chapter 25: Theory of the White Dwarf Stars


1. Completely Degenerate Configurations in Hydrostatic Equilibrium, 876
2. Physical Interpretation, 887
3. Internal Temperature of White Dwarf Stars, 891
4. Source of Energy and Internal Chemical Composition of White Dwarf Stars, 926
5. Secular Stability, 929
6. Cooling Times for White Dwarf Stars, 939
7. Evolutionary Significance of White Dwarf Stars, 943


• Chapter 26: Survey of Stellar Evolution


1. Overall Picture and Observational Approach to Stellar Evolution, 947
2. Star Formation and Pre-Main Sequence Phases, 958
3. Main Sequence (MS) Phase, 977
4. Evolution Away from the Zero-Age MS and in the "Red Giant Regions", 986
5. Final Stages of Stellar Evolution, 1007


• Chapter 27: Pulsating Stars


1. Time Scales for Pulsating Stars and Brief Survey of Observational Data, 1031
2. Equations for Spherically Symmetric Radial Motion, 1041
3. Summary of Results for Linear Adiabatic Radial Oscillations, 1049
4. Linear, Non-Adiabatic Radial Oscillations and Pulsational Stability, 1064
5. Mathematical Problem of Linear, Non-Adiabatic Radial Pulsations, 1074
6. Discussion of Factors Affecting Pulsational Stability, 1085
7. On Envelope Ionization Mechanisms as a Cause of Pulsational Instability, 1106
8. Summary of Recent Non-Linear Calculations, 1123

• Appendices
• A.1. Physical and Astronomical Constants, 1141
• A.2. Fermi-Dirac Integrals, 1143
• A.3. Ideal Fermi-Dirac Equation of State, Electron-Positron Pairs Neglected, 1165
• A.4. Ideal Fermi-Dirac Equation of State, Electron-Positron Pairs Included, 1187
• A.5. Emden Functions for n=1.5 and n=3, 1203
• Supplement: Some Recent Developments
• Indices
• Reference List and Author Index, 1287
• Subject Index, 1305