Solar equilibrium models and physical processes governing the solar internal structure

  • M. Gabriel
Part II Physical Processes in Modeling the Sun
Part of the Lecture Notes in Physics book series (LNP, volume 367)


In the first part of the paper, the uncertainties on the fundamental data and on the input physics relevant for the computation of the internal structure of the Sun are reviewed. In the second part, I present several tests done in order to compute a solar model with a relative accuracy of 3 x 10−5. I also propose a modification of the difference method which allows to achieve the required accuracy with a relatively low number of mesh points.


Mesh Point Solar Model Monthly Notice Convective Envelope Standard Solar Model 
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  1. Anders, E., and Grevesse, N. 1989, Geochemica and Cosmochimica Acta, 53, 197.Google Scholar
  2. Arnett, W.D., and Truran, J.W. 1969, Astrophys. J., 157, 339.Google Scholar
  3. Bahcall, J.N., and Loeb, A. 1990, Astrophys. J., in press.Google Scholar
  4. Bahcall, J.N., and Ulrich, R.K. 1988, Rev. Mod. Phys., 60, 297.Google Scholar
  5. Berthomieu, G., and Provost, J. 1989, private communication.Google Scholar
  6. Bodenheimer, P., Forbes, J.E., Gould, N.L., and Henyey, L.G. 1965, Astrophys. J., 141, 1019.Google Scholar
  7. Budge, K.G. 1987, Astrophys. J., 312, 217.Google Scholar
  8. Christensen-Dalsgaard, J. 1982, Monthly Notices Roy. Astron. Soc., 199, 745.Google Scholar
  9. Christensen-Dalsgaard, J. 1988, Computational procedures for GONG solar model project.Google Scholar
  10. Christensen-Dalsgaard, 1 1989, private communication.Google Scholar
  11. Cohen, E.R., and Taylor, B.N. 1989, Physics Today, 42, No. 8, BG8.Google Scholar
  12. Cox, A.N., Guzik, J.A., and Kidman, R.B. 1989, Astrophys. J., 342, 1189.Google Scholar
  13. Crommelynck, D. 1989a, Adv. Space Res., 9, No. 7, 51.Google Scholar
  14. Crommelynck, D. 1999b, (private communication).Google Scholar
  15. Däppen, W., Mihalas, D., Hummer, D.G., and Mihalas, B.W. 1988, Astrophys. J., 332, 261.Google Scholar
  16. Demarque, P. 1989, Communication to the 1989 Annual GONG meeting.Google Scholar
  17. Eggleton, P.P. 1971, Monthly Notices Roy. Astron. Soc., 151, 356.Google Scholar
  18. Gabriel, M., Noels, A., and Scuflaire, R. 1984, Mem. Soc. Astron. Italiana, 55, 169.Google Scholar
  19. Guenther, D.B. 1989, Astrophys. J., 339, 1156.Google Scholar
  20. Henyey, L.G. and Levee, R.D. 1965, in Methods in Computational Physics, Vol. 4, eds. B. Alder, S. Ferhbach, and M. Rotenberg (Academic Press, New York), p.333.Google Scholar
  21. Huebner, W.F. 1986, in Physics of the Sun, Vol. 1, ed. P.A. Sturrock (Reidel, Dordrecht), p.33.Google Scholar
  22. Huebner, W.F., Mertz, A.L., Magee, N.H., and Argo, M.F. 1977, Astrophysical Opacity Library, Los Alamos Sci. Lab. Rept. LA-6760-M.Google Scholar
  23. Hummer, D.G. and Mihalas, D. 1988, Astrophys. J., 331, 794.Google Scholar
  24. Iben, I. 1965, Astrophys. J., 141, 993.Google Scholar
  25. Kippenhahn, R., Weigert, A., and Hofmeister, E. 1967, in Methods in Computational Physics, Vol. 7, eds. B. Alder, S. Ferhbach, and M. Rotenberg (Academic Press, New York), p.129.Google Scholar
  26. Laclare, F. 1983, Astron. Astrophys., 125, 200.Google Scholar
  27. Langer, N. 1986, Astron. Astrophys., 164, 45.Google Scholar
  28. Larson, R.B., and Demarque, P. 1964, Astrophys. J., 140, 524.Google Scholar
  29. Mihalas, D., Däppen, W., and Hummer, D.G. 1988, Astrophys. J., 331, 815.Google Scholar
  30. Morel, P. 1988, Code de structure interne, p. 56.Google Scholar
  31. Morel, P. 1989, private communication.Google Scholar
  32. Morel, P., Provost, J. and Berthomieu, G. 1989, Solar Phys., in press.Google Scholar
  33. Paczynski, B. 1969, Acta Astron., 19, 1.Google Scholar
  34. Parker, P.D. 1986, in Physics of the Sun, Vol. 1, ed. P.A. Sturrock (Reidel, Dordrecht), p.15.Google Scholar
  35. Parkinson, J.H. 1983, Nature, 304, 518.Google Scholar
  36. Pidatella, R.M., and Stix, M. 1986, Astron. Astrophys., 157, 338.Google Scholar
  37. Pinsonneault, M.H., Kawaler, S.D., Sofia, S., and Demarque, P. 1989, Astrophys. J., 338, 424.Google Scholar
  38. Press, W.H., Flannery, B.P., Teukolsky, S.A., and Vetterling, W.T. 1986, Numerical Reccipes (Cambridge Univ. Press, Cambridge), p.608.Google Scholar
  39. Schatzman, E., Maeder, A., Angrand, F., and Glowinski, R. 1981, Astron. Astrophys., 96, 1.Google Scholar
  40. Schmitt, J.H., Rosner, R., and Bohm, H.U. 1984, Astrophys. J., 282, 316.Google Scholar
  41. Shaviv, G., and Salpeter, E.E. 1973, Astrophys. J., 184, 191.CrossRefGoogle Scholar
  42. Smith, R.L., and Fuchs, H. 1976, Astrophys. Space Sci., 50, 63.Google Scholar
  43. Turck-Chiéze, S., Cahen, S., Cassé, M., and Doom, C. 1988, Astrophys. J., 335, 415.Google Scholar
  44. Ulrich, R.K. 1976, Astrophys. J., 207, 564.Google Scholar
  45. Unno, W., Kondo, M., and Xiong, D.R. 1985, Publ. Astron. Soc. Japan, 37, 235.Google Scholar
  46. Wilson, R.C., and Hudson, H.S. 1988, Nature, 332, 210.Google Scholar
  47. Wittman, A. 1977, Astron. Astrophys., 61, 225.Google Scholar
  48. Xiong, D.R. 1980, Chinese Astron., 4, 234.Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • M. Gabriel
    • 1
  1. 1.Institut d'Astrophysique de l'Université de LiègeLIEGEBelgium

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