Journal of Astrophysics and Astronomy

, Volume 6, Issue 1, pp 5–19 | Cite as

Tidal interactions in binary stellar systems

  • S. M. Alladin
  • N. Ramamani
  • T. Meinya Singh


The tidal interactions in binary stellar systems are studied under the assumption that the orbital motion of the binary is negligible in comparison with the stellar motion. By integrating over time the tidal forces acting on the stars, the energy changes are derived. These are used to obtain simple analytical expressions for the rates of disruption and merging. This method gives appropriate value for the Roche density ρr and it is found that the disruption rate of a satellite of density ρ changes drastically at ρ ρR A comparison is made with earlier results obtained under the simplifying assumption that stellar motion is negligible in comparison with the orbital motion of the binary and its implications are discussed.

Key words

stellar dynamics Roche density interacting galaxies 


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  1. Ahmed, F., Alladin, S. M. 1981,J. Astrophys. Astr.,2, 349.CrossRefADSGoogle Scholar
  2. Alladin, S. M., Narasimhan, K. S. V. S. 1982,Phys. Rep.,92, 339.CrossRefADSGoogle Scholar
  3. Alladin, S. M., Parthasarathy, M. 1978,Mon. Not. R. astr. Soc,184, 871 (Paper I).ADSGoogle Scholar
  4. Avner, E. S., King, I. R. 1967,Astr. J.,72, 650CrossRefADSGoogle Scholar
  5. Chandrasekhar, S. 1942,Principles of Stellar Dynamics, Dover, New York, pp. 222, 252.MATHGoogle Scholar
  6. Goldstein, H. 1950,Classical Mechanics, Addison-Wesley, Massachusetts, p. 78.Google Scholar
  7. Innanen, K. A. 1979,Astr. J.,84, 960.CrossRefADSGoogle Scholar
  8. King, I. R. 1962,Astr. J.,67, 471.CrossRefADSGoogle Scholar
  9. Kormendy, J. 1982, inMorphology and Dynamics of Galaxies, Eds L. Martinet & M. Mayor, Geneva Observatory, p. 113.Google Scholar
  10. Kurth, R. 1957,Introduction to the Mechanics of Stellar Systems, Pergamon Press, New York, p. 88.MATHGoogle Scholar
  11. Larson, R. B. 1976, inGalaxies, Eds L. Martinet & M. Mayor, Geneva Observatory, p. 69.Google Scholar
  12. Lin, D. N. C., Tremaine, S. 1983,Astrophys. J.,264, 364.CrossRefADSGoogle Scholar
  13. Miller, R. H. 1984, ESO Preprint No. 343.Google Scholar
  14. Narasimhan, K.S.V.S., Alladin, S. M. 1983,Bull. astr. Soc. India,10, 244.ADSGoogle Scholar
  15. Ostriker, J. P., Caldwell, J. A. R. 1979, inIAU Symp. 84;The Largescale Characteristics of the Galaxy, Ed. W. B. Burton, D. Reidel, Dordrecht, p. 441.Google Scholar
  16. Ramamarti, í., Meinya Singh, T.,Alladin, S.Ì. 1984,inIAU Symp. 106:The Milky Way Galaxy, (submitted).Google Scholar
  17. Richstone, D. O. 1975,Astrophys. J.,200, 535.CrossRefADSGoogle Scholar
  18. Schmidt, Ì. 1965, inGalactic Structure, Eds A. Blaauw & M. Schmidt, p.513.Google Scholar
  19. Spitzer, L. 1958,Astrophys. J.,127, 17.CrossRefADSGoogle Scholar
  20. Spitzer, L., Chevalier, R.á. 1973,Astrophys. J.,183, 565.CrossRefADSGoogle Scholar
  21. Toomre, á. 1977, inThe Evolution of Galaxies and Stellar Populations, Eds B. M. Ì.Tinsley & R. B. Larson, Yale University Observatory, p.401.Google Scholar
  22. Tremaine, S.D.1981,TheStructure and Evolution of Normal Galaxies, Eds S. M. Fall & D. Lynden-Bell, Cambridge University Press, p. 67.Google Scholar
  23. Tremaine, S. D., Ostriker, J. P., Spitzer, L. 1975,Astrophys. J.,196, 407.CrossRefADSGoogle Scholar
  24. Villumsen, J. V. 1982,Mon. Not. R. astr. Soc,199, 493.ADSGoogle Scholar
  25. von Hoerner, S. 1957,Astrophys. J.,125, 451.CrossRefADSGoogle Scholar
  26. White, S. D. M. 1978,Ìon. Not. R. astr. Soc,184, 185.ADSGoogle Scholar
  27. White, S. D. M. 1979,Mon. Not. R. astr. Soc,189, 831.ADSGoogle Scholar
  28. White, S. D. M. 1983a, inIAU Symp. 100;Internal Kinematics and Dynamics of Galaxies, Ed. å. Athanassoula, D. Reidel, Dordrecht, p. 337.Google Scholar
  29. White, S. D. M. 1983b,Astrophys. J.,274, 53.CrossRefADSGoogle Scholar
  30. Zahn, J. P. 1977,Astr. Astrophys.,57, 383.ADSGoogle Scholar

Copyright information

© Indian Academy of Sciences 1985

Authors and Affiliations

  • S. M. Alladin
    • 1
  • N. Ramamani
    • 1
  • T. Meinya Singh
    • 1
  1. 1.Centre of Advanced study in AstronomyOsmania UniversityHyderabad

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