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Linear Isentropic Oscillations of Stars

Theoretical Foundations

  • Paul Smeyers
  • Tim Van Hoolst

Part of the Astrophysics and Space Science Library book series (ASSL, volume 371)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Paul Smeyers
    Pages 1-8
  3. Paul Smeyers
    Pages 9-23
  4. Paul Smeyers
    Pages 67-96
  5. Paul Smeyers
    Pages 133-158
  6. Paul Smeyers
    Pages 159-175
  7. Paul Smeyers
    Pages 383-392
  8. Back Matter
    Pages 411-473

About this book

Introduction

The study of stellar oscillations is the preeminent way to investigate the stability of stars and to interpret their variability. The theory of the linear, isentropic oscillations of isolated gaseous stars, and thus of compressible spherically symmetric equilibrium configurations, has largely been developed from the viewpoint of the hypothesis of the physical radial pulsations of stars. Written for doctoral students and researchers, this monograph aims to provide a systematic and consistent survey of the fundamentals of the theory of free, linear, isentropic oscillations in spherically symmetric, gaseous equilibrium stars. The first part of the book presents basic concepts and equations, the distinction between spheroidal and toroidal normal modes, the solution of Poisson’s differential equation for the perturbation of the gravitational potential, and Hamilton’s variational principle. The second part is devoted to the possible existence of waves propagating in the radial direction, the origin and classification of normal modes, the completeness of the normal modes, and the relation between the local stability with respect to convection and the global stability of a star. The third part deals with asymptotic representations of normal modes and with slow period changes in rapidly evolving pulsating stars.

Keywords

Asteroseismology Cepheids Convective core Helioseismology Star Stellar oscillations Stellar pulsations g-modes giant stars isentropic normal modes p-modes quasi-static-star solar-type stars stellar stellar normal modes

Authors and affiliations

  • Paul Smeyers
    • 1
  • Tim Van Hoolst
    • 2
  1. 1.Instituut voor SterrenkundeKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.Koninklijke Sterrenwacht van BelgiëBruxellesBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-13030-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-13029-8
  • Online ISBN 978-3-642-13030-4
  • Series Print ISSN 0067-0057
  • Buy this book on publisher's site
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