Astrophysics and Space Science Library

Linear Isentropic Oscillations of Stars

Theoretical Foundations

Authors: Smeyers, Paul, Van Hoolst, Tim

  • Offers a comprehensive presentation of fundamental aspects of the theory of linear, isentropic oscillations in spherically symmetric stars
  • Explores intermediate steps in the mathematical derivations
  • Extensive appendices cover fundamental mathematical and theoretical physics problems
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eBook $189.00
price for USA (gross)
  • ISBN 978-3-642-13030-4
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Hardcover $249.00
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  • ISBN 978-3-642-13029-8
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  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
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  • ISBN 978-3-642-26612-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (20 chapters)

  • Introduction

    Smeyers, Paul

    Pages 1-8

  • Basic Concepts

    Smeyers, Paul

    Pages 9-23

  • The Equations Governing Linear Perturbations in a Quasi-Static Star

    Smeyers, Paul

    Pages 25-35

  • Deviations from the Hydrostatic and Thermal Equilibrium in a Quasi-Static Star

    Smeyers, Paul

    Pages 37-50

  • Eigenvalue Problem of the Linear, Isentropic Normal Modes in a Quasi-Static Star

    Smeyers, Paul

    Pages 51-65

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-3-642-13030-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-3-642-13029-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-3-642-26612-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linear Isentropic Oscillations of Stars
Book Subtitle
Theoretical Foundations
Authors
Series Title
Astrophysics and Space Science Library
Series Volume
371
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-13030-4
DOI
10.1007/978-3-642-13030-4
Hardcover ISBN
978-3-642-13029-8
Softcover ISBN
978-3-642-26612-6
Series ISSN
0067-0057
Edition Number
1
Number of Pages
XIV, 473
Topics