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Structure of close binaries

II: Theory of uniformly rotating binaries

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Abstract

The stellar structure equations for uniformly rotating, synchronous close binaries have been derived using a modified double approximation technique which has been successful in studies of rotating stars and close binary polytropes. The auxiliary functions which are necessary to obtain interior models have been derived and their numerical values are given for various mass ratios. In order to calculate the apparent luminosities and colours of binary models the effects of gravity darkening (either radiative or convective) must be taken into account. Tables are presented for different degrees of distortion, mass ratio, and the two extremes of inclination which allow the apparent luminosity and mean effective temperature to be determined if the interior luminosity and separation of the components are given.

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References

  1. Anand, S. P. S.: 1968,Astrophys. J. 153, 135.

  2. Batten, A. H.: 1967,Publ. Dom. Astrophys. Obs. Victoria 13, 119.

  3. Buerger, P.: 1969,Astrophys. J. 158, 1151.

  4. Chandrasekhar, S.: 1933a,Monthly Notices Roy. Astron. Soc. 93, 390.

  5. Chandrasekhar, S.: 1933b,Monthly Notices Roy. Astron. Soc. 93, 449.

  6. Chandrasekhar, S.: 1933c,Monthly Notices Roy. Astron. Soc. 93, 462.

  7. Chandrasekhar, S.: 1933d,Monthly Notices Roy. Astron. Soc. 93, 539.

  8. Clement, M. J.: 1969,Astrophys. J. 156, 1051.

  9. Clement, M. J.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Comp., Dordrecht, Holland, p. 346.

  10. Collins, G. W.: 1963,Astrophys. J. 138, 1134.

  11. Collins, G. W.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Comp., Dordrecht, Holland, p. 85.

  12. Durney, B. and Roxburgh, I. W.: 1970,Monthly Notices Roy. Astron. Soc. 148, 239.

  13. Faulkner, J., Roxburgh, I. W., and Strittmatter, P. A.: 1968,Astrophys. J. 151, 203.

  14. Harris, W. E. and Clement, M. J.: 1971, submitted toAstrophys. J.

  15. Jackson, S.: 1970,Astrophys. J. 160, 685.

  16. Kippenhahn, R. and Thomas, H. C.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Comp., Dordrecth, Holland, p. 20.

  17. Kopal, Z.: 1959,Close Binary Systems, Chapman and Hall, London.

  18. Lucy, L. B.: 1967,Z. Astrophys. 65, 80.

  19. Lucy, L. B.: 1968,Astrophys. J. 151, 1123.

  20. Marks, D. and Clement, M. J.: 1971,Astrophys. J. 166, L27.

  21. Martin, P. G.: 1970,Astrophys. Space Sci. 7, 119.

  22. Monaghan, J. J. and Roxburgh, I. W.: 1965,Monthly Notices Roy. Astron. Soc. 131, 13.

  23. Naylor, M. D. T. and Anand, S. P. S.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Comp., Dordrecht, Holland, p. 157.

  24. Osaki, Y.: 1970,Monthly Notices Roy. Astron. Soc. 148, 391.

  25. Ostriker, J. P. and Mark, J. W. K.: 1968,Astrophys. J. 151, 1075.

  26. Plavec, M.: 1968,Advan. Astron. Astrophys. 6, 201.

  27. Plavec, M.: 1970, in A. Slettebak (ed.),Stellar Rotation, D. Reidel Publ. Comp., Dordrecht, Holland, p. 133.

  28. Roxburgh, I. W.: 1964,Monthly Notices Roy. Astron. Soc. 128, 157.

  29. Roxburgh, I. W.: 1970, in A. Slettebak, (e.d.),Stellar Rotation, D. Reidel Publ. Comp., Dordrecht, Holland, p. 9.

  30. Roxburgh, I. W., Griffith, J. S., and Sweet, P. A.: 1965,Z. Astrophys. 61, 203.

  31. Sackmann, I. J.: 1968, Ph.D. Thesis, University of Toronto.

  32. Sackmann, I. J.: 1970,Astron. Astrophys. 8 76.

  33. Sackmann, I. J. and Anand, S. P. S.: 1970,Astrophys. J. 162, 105.

  34. Schwarzschild, M.: 1947,Astrophys. J. 106, 407.

  35. Schwarzschild, M.: 1958,Structure and Evolution of the Stars, Princeton University Press, Princeton.

  36. Stoeckly, R.: 1965,Astrophys. J. 142, 208.

  37. Sweet, P. A. and Roy, A. E.: 1953,Monthly Notices Roy. Astron. Soc. 113, 701.

  38. Tadeka, S.: 1934,Kyoto Mem. A. 17, 197.

  39. Zeipel, H. von: 1924,Monthly Notices Roy. Astron. Soc. 84, 684.

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Naylor, M.D.T., Anand, S.P.S. Structure of close binaries. Astrophys Space Sci 16, 137–150 (1972). https://doi.org/10.1007/BF00643098

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Keywords

  • Colour
  • Structure Equation
  • Approximation Technique
  • Auxiliary Function
  • Effective Temperature