Skip to main content
SpringerLink
Log in

Upper limit for the angular momentum of galaxies. I

  • Published:
Astrophysics Aims and scope

Abstract

The scalar virial theorem enables one to find the upper limit for the angular momentum of an arbitrary, steadystate, self-gravitating system. Applying the tensor virial theorem for axisymmetric systems makes it possible to reduce this limit by a factor of 1.5.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Appell,Equilibrium Figures of a Rotating Homogeneous Liquid [Russian translation from French], Ob’ed. Nauchno-Tekh. Izd., Moscow (1936).

    Google Scholar 

  2. N. I. Idel’son,Potential Theory [in Russian], Ob’ed. Nauchno-Tekh. Izd., Leningrad, Moscow (1936).

    Google Scholar 

  3. M. F. Subbotin,A Course in Celestial Mechanics [in Russian], Vol. 3, Gostekhizdat, Leningrad, Moscow (1949).

    Google Scholar 

  4. L. Likhtenshtein,Figures of Equilibrium of a Rotating Fluid [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  5. J.-L. Tassoul,Theory of Rotating Stars, Princeton Univ. Press, Princeton NJ (1978).

    Google Scholar 

  6. A. Mardanov,Vestn. Leningrad. Univ., No. 19, 121 (1977).

  7. A. Mardanov,Vestn. Leningrad. Univ., No. 7, 143 (1978).

  8. V. A. Krat,Figures of Equilibrium of Celestial Bodies [in Russian], Gostekhizdat, Moscow, Leningrad (1950).

    Google Scholar 

  9. K. F. Ogorodnikov,Dynamics of Stellar Systems [in Russian], Fizmatgiz, Moscow (1958) [translated by J. B. Sykes, Pergamon Press, New York (1965)].

    Google Scholar 

  10. K. F. Ogorodnikov,Dokl. Akad. Nauk SSSR,116, 38 (1957).

    MATH  MathSciNet  Google Scholar 

  11. M. D. Milder,Astrophys. J.,145, 109 (1966).

    Article  ADS  Google Scholar 

  12. D. Lynden-Bell,Mon. Not. R. Astron. Soc,120, 204 (1960).

    MATH  ADS  MathSciNet  Google Scholar 

  13. G. M. Idlis,Tr. Astrofiz. Inst. Akad. Nauk Kaz. SSR,1, 3 (1961).

    Google Scholar 

  14. V. V. Stepanov,Astron. Zh.,5, 132 (1928).

    Google Scholar 

  15. D. Lynden-Bell,Mon. Not. R. Astron. Soc,122, 447 (1962).

    ADS  MathSciNet  Google Scholar 

  16. B. A. Vorontsov-Veryaminov,Exiragalactic Astronomy [in Russian], Fizmatgiz, Moscow (1978) [translated by R. B. Rodman, Harwood Academic, New York (1987)].

    Google Scholar 

  17. D. J. Crampin and F. Hoyle,Astrophys. J.,140, 99 (1964).

    Article  ADS  Google Scholar 

  18. I. L. Genkin and L. M. Genkina,Tr. Astrofiz. Inst. Akad. Nauk Kaz. SSR,19, 8 (1972).

    Google Scholar 

  19. K. F. Ogorodnikov, in:Dynamics and Evolution of Stellar Systems [in Russian], Izd. Vses. Astron.-Geod. Obshch., Glav. Astron. Obs. Akad. Nauk SSSR, Moscow, Leningrad (1975), p. 14.

    Google Scholar 

  20. G. Illingworth,Astrophys. J.,218, L43 (1977).

    Article  ADS  Google Scholar 

  21. J. J. Binney,Mon. Not. R. Astron. Soc,183, 501 (1978).

    ADS  Google Scholar 

  22. P. T.de Zeeuw, in:The Formation and Evolution of Galaxies, Cambridge Univ. Press, Cambridge (1994), p. 235.

    Google Scholar 

  23. J. J. Binney,Philos. Trans. R. Soc. London, Ser. A,296, 325 (1980).

    ADS  Google Scholar 

  24. J. J. Binney, in:Structure and Evolution of Normal Galaxies, Cambridge Univ. Press, Cambridge (1981), p. 55.

    Google Scholar 

  25. B. P. Kondrat’ev,Pis’ma Astron. Zh.,7, 83 (1981).

    ADS  Google Scholar 

  26. B. P. Kondrat’ev,Astron. Zh.,60, 858 (1978).

    ADS  Google Scholar 

  27. B. P. Kondrat’ev,Dynamics of Ellipsoidal Gravitating Figures [in Russian], Nauka, Moscow (1989).

    MATH  Google Scholar 

  28. I. L. Genkin,Vestn. Kaz. Gos. Univ., Ser: Fiz., No. 93, 30 (1998).

  29. L. P. Osipkov,Astron. Tsirk., No. 1181, 4 (1981).

  30. L. P. Osipkov, in:Stellar Clusters and Problems of Stellar Evolution fin Russian], Izd. Ural. Univ., Sverdlovsk (1983), p. 20.

    Google Scholar 

  31. L. P. Osipkov,Astron. Tsirk., No. 1359, 7 (1985).

  32. L. P. Osipkov, in:Astronomical-Geodesic Research [in Russian], Izd. Ural. Univ., Sverdlovsk (1985), p. 9.

    Google Scholar 

  33. L. P. Osipkov, in:Problems of the Physics and Dynamics of Stellar Systems [in Russian], Izd. Tashkent. Univ., Tashkent (1989), p. 52.

    Google Scholar 

  34. U.van Wijk,Ann. Astrophys.,12, 81 (1949).

    ADS  Google Scholar 

  35. I. R. King,Astron. J.,66, 68 (1961).

    Article  ADS  Google Scholar 

  36. G. G. Kuzmin,Publ. Tartu. Astron. Obs.,34, 10 (1963).

    Google Scholar 

  37. S. Chandrasekhar and E. P. Lee,Mon. Not. R. Astron. Soc,139, 135 (1968).

    MATH  ADS  Google Scholar 

  38. C. G. J. Jacobi,Lectures on Dynamics [Russian translation], Ob’ed. Nauchno-Tekh. Izd., Leningrad, Moscow (1936).

    Google Scholar 

  39. V. I. Ferronsky, S. V. Denisik, and S. V. Ferronsky,Jacobi Dynamics, D. Reidel, Dordrecht (1985).

    Google Scholar 

  40. E. M. Nezhinskii and L. P. Osipkov,Astron. Zh.,46, 688 (1969).

    ADS  Google Scholar 

  41. L. I. Osipkov,Vestn. S.-Peterburg. Univ., Ser. 1, No. 3, 125 (1993).

  42. W. D. MacMillan,Dynamics of Rigid Bodies, Dover Publications, New York (1960).

    MATH  Google Scholar 

  43. S. Chandrasekhar and D. Elbert,Mon. Not. R. Astron. Soc,155, 435 (1972).

    ADS  Google Scholar 

  44. E. Finlay-Freundlich,Mon. Not. R. Astron. Soc,107, 137 (1947).

    Google Scholar 

  45. V. A. Brumberg and L. M. Genkina,Tr. Astrofiz. Inst. Akad. Nauk Kaz. SSR,35, 8 (1981).

    Google Scholar 

  46. M. David and S. Theuns,Mon. Not. R. Astron. Soc,240, 957 (1989).

    ADS  MathSciNet  Google Scholar 

  47. P. Brosche,Astron. Astrophys.,6, 240 (1970).

    ADS  Google Scholar 

  48. S. A. Kutuzov,Publ. Tartu. Astroflz. Obs.,36, 379 (1967).

    Google Scholar 

  49. I. L. Genkin and L. M. Genkina,Tr. Astrofiz. Inst. Akad. Nauk Kaz. SSR,12, 90 (1969).

    Google Scholar 

  50. J. P. Ostriker, in:Origin of the Solar System [Russian translation], Mir, Moscow (1976), p. 221.

    Google Scholar 

  51. S. Chandrasekhar and N. R. Lebovitz,Astrophys. J.,136, 1037 (1962).

    Article  ADS  MathSciNet  Google Scholar 

  52. P. H. Roberts,Astrophys. J.,138, 809 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  53. é. A. Dibai and S. A. Kaplan,Dimensionality and Similarity of Astrophysical Quantities [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  54. M. G. Abrahamyan and D. M. Sedrakian,Astrofizika,23, 35 (1985).

    ADS  Google Scholar 

  55. V. L. Polyachenko, V. S. Synakh, and A. M. Fridman,Astron. Zh., 1174 (1971).

Download references

Author information

Authors and Affiliations

  1. St. Petersburg State University, Russia

    L. P. Osipkov

Authors
  1. L. P. Osipkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Astrofizika, Vol. 42, No. 4, pp. 597–608, October–December, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Osipkov, L.P. Upper limit for the angular momentum of galaxies. I. Astrophysics 42, 451–459 (1999). https://doi.org/10.1007/BF02700954

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02700954

Keywords

Search

Navigation