The Roche Dimensions of Rotating Gaseous Disks in Close Binary Systems

  • Masatoshi Kitamura
Part of the Astrophysics and Space Science Library book series (ASSL, volume 91)


The problem of rotating emission disks (or rings) in close binary systems is discussed from a simple hydrodynamic point of view for the inviscid gas flow with the aid of the Roche coordinates. Assuming, as a sufficient approximation, that the rotating gas flows around one component in a close binary system move along zero- velocity curves in the orbital plane, a certain simple relation can be deduced between the flow velocity and the outward density gradient. By regarding the observed rotational velocity of the emission disk as corresponding to the velocity of the stream of maximum density in the flows, we can easily evaluate, with the relation, the dimension of the rotating disk from the velocity. Application is made to emission disks in Algol-type close binaries and also to accretion disks in cataclysmic variables.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Allen,C.W.: 1973, Astrophysical Quantities, 3rd ed. Athlone Press.Google Scholar
  2. Batten,A., Fletcher,J.M., and Mann,P.J.: 1978, Seventh Catalogue of Orbital Elements of Spectroscopic Binary Systems, Publ.Dom. Astrophys. Obs. X V, No. 5.Google Scholar
  3. Cester,B., Fedel,B., Giuricin,G., Mardirossian,F.,Mezzetti,M.,and Predolin,F.: 1979, Mem.Soc.Astr.Italiana 50, No. 4.Google Scholar
  4. Flannery B.P.: 1975, MNRAS 170, 325.ADSGoogle Scholar
  5. Huang, Su-Shu: 1957, Ap. J., 148, 793.ADSCrossRefGoogle Scholar
  6. Huang, Su-Shu and Struve,O.: 1956, A. J., 61, 300.ADSCrossRefGoogle Scholar
  7. Kitamura, M.: 1970, Astrophys. Sp. Sci., 7, 272.ADSCrossRefGoogle Scholar
  8. Kitamura, M.: 1973, IAU Symp. No. 51, ed. A.Batten, pp.107–110.Google Scholar
  9. Kopal, Z. : 1959, Close Binary Systems, Chapman-Hall and John Wiley.Google Scholar
  10. Kopal, Z.: 1969, Astrophys. Sp. Sci., 5, 360.ADSCrossRefGoogle Scholar
  11. Kopal, Z.: 1978, Dynamics of Close Binary Systems, D. Reidel.Google Scholar
  12. Koch,R., Plavec, M., and Wood, F.B.: 1970, Catalogue of Graded Photometric Studies of Close Binaries, Publ.Univ. Pennsylvania, Vol. 11.Google Scholar
  13. Kruszewski, A.: 1967, Acta Astr., 17, 297.ADSGoogle Scholar
  14. Lubow, S.H. and Shu, F. H.: 1975, Ap. J., 198, 383.ADSCrossRefGoogle Scholar
  15. Paczynski, B.: 1977, Ap..J., 216, 822.ADSCrossRefGoogle Scholar
  16. Piotrowski, S.L.: 1975, Acta Astr. 25, 21.ADSGoogle Scholar
  17. Plavec, M.: 1964, BAC, 15, NO. 5.Google Scholar
  18. Prendergast, K.H.: 1960, Ap. J., 132, 162.MathSciNetADSCrossRefGoogle Scholar
  19. Prendergast, K.H. and Taam, R.: 1974, Ap. J., 189, 125.ADSCrossRefGoogle Scholar
  20. Robinson, E.L.: 1976, Ann.Rev.Astr.Astrophys. 14, 119.ADSCrossRefGoogle Scholar
  21. Sahade,J.:1960, Stellar Atmospheres ed.Greenstein, Univ.Chicago Press, Chap. 12.Google Scholar
  22. Sobouti, Y. : 1971, Ap. Sp. Sci., 12, 408.ADSCrossRefGoogle Scholar
  23. Sorensen,S., Matsuda, T., and Sakurai,T.: 1975, Ap.Sp.Sci., 33, 465.ADSGoogle Scholar
  24. Struve, O.: 1950, Stellar Evolution, Princeton Univ. Press.Google Scholar
  25. Walker, M.: 1954, PASP 66, 230.ADSCrossRefGoogle Scholar
  26. Warner, M. and Peters, W.L.: 1972, MNRAS l60, 15.ADSGoogle Scholar
  27. Warner, B.: 1973, MNRAS 162, 189.ADSGoogle Scholar
  28. Warner, B. : 1976, IAU Symp. No. 73, Structure and Evolution of Close Binary Systems, ed. Eggleton,Mitton and Whelan, p. 85.CrossRefGoogle Scholar

Copyright information

© D. Reidel Publishing Company 1981

Authors and Affiliations

  • Masatoshi Kitamura
    • 1
  1. 1.Tokyo Astronomical ObservatoryUniversity of TokyoTokyo, MitakaJapan

Personalised recommendations