Stability Considerations

  • Rudolf Kippenhahn
  • Alfred Weigert
  • Achim Weiss
Part of the Astronomy and Astrophysics Library book series (AAL)


Even the most beautiful stellar model is not worth anything if one does not know whether it is stable or not. Stability is discussed again and again throughout this book. Here we review the different types of stability considerations necessary for stars. We intend to make the basic mechanisms and concepts plausible rather than present the full formalism; the reader will find this, for example, in the review article by Ledoux (1958).


White Dwarf Hydrostatic Equilibrium Stellar Model Central Sphere Adiabatic Case 
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  1. Aizenman, M.L., Perdang, J. (1971): Astron. Astrophys. 12, 232ADSGoogle Scholar
  2. La Salle, J., Lefschetz, S. (1961): Stability by Liapunov’s Direct Method with Applications (Academic Press, New York)zbMATHGoogle Scholar
  3. Ledoux, P. (1958): In Handbuch der Physik, ed. by S. Flügge (Springer, Berlin, Heidelberg), Vol. LI, p. 605Google Scholar
  4. Mestel, L. (1952): Mon. Not. R. Astron. Soc. 112, 583 and 598Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Rudolf Kippenhahn
    • 1
  • Alfred Weigert
    • 2
  • Achim Weiss
    • 3
  1. 1.GöttingenGermany
  2. 2.Universität HamburgHamburgGermany
  3. 3.Max-Planck-Institut für AstrophysikGarchingGermany

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