Skip to main content
Log in

Jeans Stability of a Rotating Medium Capable of Resisting Shearing Stress

  • Published:
Astrophysics Aims and scope

Abstract

Resistance to shearing stress is introduced into a model of a homogeneous, rotating, gravitating medium. It is shown that this eliminates gyroscopic stabilization, both in the presence and in the absence of viscosity. A model of gaseous and rigid media in contact is also considered. Contact with a rigid support also partially eliminates gyroscopic stabilization. This fact may result in some compromise between the theories of density waves and of a self-propagating excitation for explaining the spiral structure of galaxies.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. V. L. Polyachenko and A. M. Fridman, Equilibrium and Stability of Gravitating Systems [in Russian], Nauka, Moscow (1976) [translated by A. B. Aries and I. N. Poliakoff, Vol. 1 of Physics of Gravitating Systems, 2 vols., Springer-Verlag, Berlin-New York (1984)].

    Google Scholar 

  2. P. E. Appell, Equilibrium Figures of a Rotating Homogeneous Liquid [Russian translation from French], Obíed. Nauchno-Tekh. Izd., Leningrad-Moscow (1936).

  3. P. H. Roberts and K. Stewartson, Astrophys. J., 137, 777 (1963).

    Google Scholar 

  4. R. A. Lyttleton, The Stability of Rotating Liquid Masses, Cambridge Univ. Press, Cambridge (1953).

    Google Scholar 

  5. H. Robe, Mŭm. Soc. R. Sci. Liuge, 18, 1 (1969).

    Google Scholar 

  6. G. G. Denisov and V. V. Novikov, Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 41 (1978).

  7. Ya. G. Panovko and I. I. Gubanova, Stability and Oscillations of Elastic Systems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  8. A. A. Suchkov, Astron. Zh., 47, 1187 (1970).

    Google Scholar 

  9. J. H. Jeans, Astronomy and Cosmology, Cambridge Univ. Press, Cambridge (1929).

    Google Scholar 

  10. S. Chandrasekhar, Hydrodynamics and Hydromagnetic Stability, Oxford Univ. Press, Oxford (1961).

    Google Scholar 

  11. V. S. Safronov, Evolution of the Protoplanetary Cloud and the Formation of the Earth and Planets [in Russian], Nauka, Moscow (1969) [NASA tech. translation F-677, Washington, D.C. (1972)].

    Google Scholar 

  12. D. L. Turcotte and G. Schubert, Geodynamics, Wiley, New York (1982).

    Google Scholar 

  13. P. Melchior, Physics and Dynamics of the Planets [Russian translation from French], Part 2, Mir, Moscow (1976).

    Google Scholar 

  14. V. A. Antonov and A. S. Baranov, Astron. Zh., 75, 760 (1998).

    Google Scholar 

  15. L. N. Sretenskii, Theory of a Newtonian Potential [in Russian], Gostekhizdat, Moscow (1946).

    Google Scholar 

  16. V. A. Antonov, E. I. Timoshkova, and K. V. Kholshevnikov, Introduction to Newtonian Potential Theory [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  17. Yu. N. Mishurov, V. N. Peftiev, and A. A. Suchkov, Astron. Zh., 53, 268 (1976).

    Google Scholar 

  18. N. N. Gor'kavyi and A. M. Fridman, Physics of Planetary Rings [in Russian], Nauka, Moscow (1994) [Springer-Verlag, New York (1999)].

    Google Scholar 

  19. H. Gerola and P. E. Seiden, Astrophys. J., 223, 129 (1978).

    Google Scholar 

  20. D. Lynden-Bell, Observatory, 86, 57 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Antonov, V.A., Baranov, A.S. & Timoshkova, E.I. Jeans Stability of a Rotating Medium Capable of Resisting Shearing Stress. Astrophysics 45, 497–507 (2002). https://doi.org/10.1023/A:1021815431468

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021815431468

Navigation