Linear Isentropic Oscillations of Stars: Theoretical Foundations (Astrophysics and Space Science Library, 371)

Linear Isentropic Oscillations of Stars
Preface
Contents
Introduction
Chapter 1: Basic Concepts
Chapter 2: The Equations Governing Linear Perturbations in a Quasi-Static Star
Chapter 3: Deviations from the Hydrostatic and Thermal Equilibrium in a Quasi-Static Star
Chapter 4: Eigenvalue Problem of the Linear, Isentropic Normal Modes in a Quasi-Static Star
Chapter 5: Spheroidal and Toroidal Normal Modes
Chapter 6: Determination of Spheroidal Normal Modes: Mathematical Aspects
Chapter 7: The Eulerian Perturbation of the Gravitational Potential
Chapter 8: The Variational Principle of Hamilton
Chapter 9: Radial Propagation of Waves
Chapter 10: Classification of the Spheroidal Normal Modes
Chapter 11: Classification of the Spheroidal Normal Modes (continued)
Chapter 12: Completeness of the Linear, Isentropic Normal Modes
Chapter 13: N2(r) Nowhere Negative as Condition for Non-Radial Modes with Real Eigenfrequencies
Chapter 14 Asymptotic Representation of Low-Degree, Higher-Order p-Modes
Chapter 15: Asymptotic Representation of Low-Degree and Intermediate-Degree p-Modes
Chapter 16: Asymptotic Representation of Low-Degree, Higher-Order g+-Modes in Stars Containing a Convective Core
Chapter 17: Asymptotic Representation of Low-Degree, Higher-Order g+-Modes in Stars Consisting of a Radiative Core and a Convective Envelope
Chapter 18: High-Degree, Low-Order Modes
Chapter 19: Period Changes in a Rapidly Evolving Pulsating Star
Appendix A:Green\'s Fundamental Formula of Potential Theory
Appendix B: The Thermodynamic Isentropic Coefficients
Appendix C: Lagrange\'s Equations of Motion
Appendix D: Spherical Harmonics
Appendix E Singular Perturbation Problems of the Boundary-Layer Type
Appendix F: Boundary Condition Relative to the Pressure on a Star\'s Surface
Appendix G: The Curl of a Vector Field
Appendix H: Eigenvalue Problem of the Vibrating String
Appendix I: The Euler–Lagrange Equations of Hamilton\'s Variational Principle for a Perturbed Star
Appendix J: Acoustic Waves
List of Symbols
References
Index