Skip to main content
SpringerLink
Log in

Radiative transfer and solar oscillations

  • Invited Review
  • Published:
Solar Physics Aims and scope Submit manuscript

Abstract

We consider the atmospheric behaviour of solar oscillations in a model including a detailed, semi-empirical atmosphere. Equations of radial and non-radial oscillation, with consistent treatment of the radiation field, are derived. These equations are solved in the radial, grey case; the results show that departure from the Eddington approximation has little effect on the properties of the oscillations. Preliminary results are presented for the non-radial case, indicating substantial deviations from the Eddington approximation when the optical thickness across a horizontal wavelength is of the order of or less than unity.

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

  • Ando, H. and Osaki, Y.: 1975, Publ. Astron. Soc. Japan 27, 95.

    Google Scholar 

  • Ando, H. and Osaki, Y.: 1977, Publ. Astron. Soc. Japan 29, 581.

    Google Scholar 

  • Athay, R. G.: 1981, in S. Jordan (ed.), The Sun as a Star, CNRS, NASA, p. 85.

  • Auer, L. H. and Mihalas, D.: 1970, Monthly Notices Roy. Astron. Soc. 149, 65.

    Google Scholar 

  • Auer, L. H., Heasley, G. N., and Milkey, R. W.: 1972, ‘A Computational Program for the Solution of Non-LTE Transfer Problems by the Complete Linearization Method’, KPNO Contr. No. 555.

  • Bahng, J. and Schwarzschild, M.: 1963, Astrophys. J. 137, 901.

    Google Scholar 

  • Baker, N. H. and Gough, D. O.: 1979, Astrophys. J. 234, 232.

    Google Scholar 

  • Baker, N. H. and Kippenhahn, R.: 1965, Astrophys. J. 142, 868.

    Google Scholar 

  • Baker, N. H. and Temesváry, S.: 1966, Tables of Convective Stellar Envelopes, Goddard Institute for Space Studies, New York.

    Google Scholar 

  • Baker, N. H., Moore, D. W., and Spiegel, E. A.: 1971, Ql. J. Mech. Appl. Math. 24, 391.

    Google Scholar 

  • Brown, T. M. and Harrison, R. L.: 1980, in H. A. Hill and W. Dziembowski (eds.), Lecture Notes in Physics 125, Springer, Heidelberg, p. 200.

    Google Scholar 

  • Brown, T. M., Stebbins, R. T., and Hill, H. A.: 1978, Astrophys. J. 223, 324.

    Google Scholar 

  • Canfield, R. C.: 1976, Solar Phys. 50, 239.

    Google Scholar 

  • Christensen-Dalsgaard, J.: 1981, Monthly Notices Roy. Astron. Soc. 194, 229.

    Google Scholar 

  • Christensen-Dalsgaard, J.: 1982, Monthly Notices Roy. Astron. Soc. 199, 735.

    Google Scholar 

  • Christensen-Dalsgaard, J. and Gough, D. O.: 1980, Nature 288, 544.

    Google Scholar 

  • Christensen-Dalsgaard, J., Cooper, A. J., and Gough, D. O.: 1983, Monthly Notices Roy. Astron. Soc., in press.

  • Claverie, A., Isaak, G. R., McLeod, C. P., van der Raay, H. B., and Roca Cortes, T.: 1981, Nature 293, 443.

    Google Scholar 

  • Cline, A. K.: 1974, Comm. ACM 17, 218.

    Google Scholar 

  • Cox, A. N. and Tabor, J. E.: 1976, Astrophys. J. Suppl. 31, 271.

    Google Scholar 

  • Cox, J. P.: 1980, Theory of Stellar Pulsation, Princeton University Press, Princeton, N.J.

    Google Scholar 

  • Cram, L. E.: 1978, Astron. Astrophys. 70, 345.

    Google Scholar 

  • Cram, L. E., Keil, S. L., and Ulmschneider, P.: 1979, Astrophys. J. 234, 768.

    Google Scholar 

  • Davis Jr., C. G.: 1971, J. Quant. Spectrosc. Rad. Transfer 11, 647.

    Google Scholar 

  • Deubner, F.-L., Ulrich, R. K., and Rhodes Jr., E. J.: 1979, Astron. Astrophys. 72, 177.

    Google Scholar 

  • Dziembowski, W.: 1977, Acta Astron. 27, 95.

    Google Scholar 

  • Eggleton, P. P., Faulkner, J., and Flannery, B. P.: 1973, Astron. Astrophys. 23, 325.

    Google Scholar 

  • Fossat, E. and Ricort, G.: 1975, Astron. Astrophys. 43, 253.

    Google Scholar 

  • Giovanelli, R. G.: 1978, Solar Phys. 59, 293.

    Google Scholar 

  • Goldreich, P. and Keeley, D. A.: 1977, Astrophys. J. 211, 934.

    Google Scholar 

  • Gough, D. O.: 1977, Astrophys. J. 214, 196.

    Google Scholar 

  • Gough, D. O.: 1980, in H. A. Hill and W. Dziembowski (eds.), Lecture Notes in Physics 125, Springer, Heidelberg, p. 273.

    Google Scholar 

  • Gouttebroze, P. and Leibacher, J. W.: 1980, Astrophys. J. 238, 1134.

    Google Scholar 

  • Grec, G., Fossat, E., and Pomerantz, M.: 1980, Nature 288, 541.

    Google Scholar 

  • Hill, H. A., Rosenwald, R. D., and Caudell, T. P.: 1978, Astrophys. J. 225, 304.

    Google Scholar 

  • Hummer, D. G. and Rybicki, G. B.: 1971, Monthly Notices Roy. Astron. Soc. 152, 1.

    Google Scholar 

  • Isaak, G. R.: 1983, Solar Phys. 82, 205 (this volume).

    Google Scholar 

  • Kalkofen, W. and Ulmschneider, P.: 1977, Astron. Astrophys. 57, 193.

    Google Scholar 

  • Karp, A. H.: 1975, Astrophys. J. 199, 461.

    Google Scholar 

  • Keil, S. L.: 1980, Astron. Astrophys. 82, 144.

    Google Scholar 

  • Kneer, F. and Heasley, J. N.: 1979, Astron. Astrophys. 79, 14.

    Google Scholar 

  • Lamb, H.: 1909, Proc. London Math. Soc. 7, 122.

    Google Scholar 

  • Legait, A.: 1982a, Astron. Astrophys. 108, 287.

    Google Scholar 

  • Legait, A.: 1982b, submitted to Astron. Astrophys.

  • Levy, M.: 1974, Astron. Astrophys. 31, 451.

    Google Scholar 

  • Lites, B. W. and Chipman, E. G.: 1979, Astrophys. J. 231, 570.

    Google Scholar 

  • Logan, J. D. and Hill, H. A: 1980, Space Sci. Rev. 27, 301.

    Google Scholar 

  • Mein, P.: 1971, Solar Phys. 20, 3.

    Google Scholar 

  • Mihalas, B. W.: 1979, Thesis, University of Colorado.

  • Mihalas, B. W. and Toomre, J.: 1981, Astrophys. J. 249, 349.

    Google Scholar 

  • Mihalas, D.: 1978, Stellar Atmospheres, 2 Ed., Freeman, San Fransisco.

    Google Scholar 

  • Mihalas, D.: 1980, Astrophys. J. 237, 574.

    Google Scholar 

  • Nordlund, A.: 1982, Astron. Astrophys. 107, 1.

    Google Scholar 

  • Noyes, R. W. and Leighton, R. B.: 1963, Astrophys. J. 138, 631.

    Google Scholar 

  • Rhodes Jr., E. J., Howard, R. F., Ulrich, R. K., and Smith, E. J.: 1983, Solar Phys. 82, 245 (this volume).

    Google Scholar 

  • Rybicki, G.: 1971, J. Quant. Spectrosc. Rad. Transfer 11, 589.

    Google Scholar 

  • Schmieder, B.: 1976, Solar Phys. 47, 435.

    Google Scholar 

  • Schmieder, B.: 1977, Solar Phys. 54, 269.

    Google Scholar 

  • Schmieder, B.: 1978, Solar Phys. 57, 245.

    Google Scholar 

  • Spiegel, E. A.: 1957, Astrophys. J. 126, 202.

    Google Scholar 

  • Stebbins, R. T., Hill, H. A., Zanoni, R., and Davis, R. E.: 1980, in H. A. Hill and W. Dziembowski (eds.), Lecture Notes in Physics 125, Springer, Heidelberg, p. 381.

    Google Scholar 

  • Ulmschneider, P.: 1971, Astron. Astrophys. 12, 297.

    Google Scholar 

  • Ulrich, R. K. and Rhodes Jr., E. J.: 1977, Astrophys. J. 218, 521.

    Google Scholar 

  • Unno, W.: 1967, Publ. Astron. Soc. Japan 19, 140.

    Google Scholar 

  • Unno, W. and Spiegel, E. A.: 1966, Publ. Astron. Soc. Japan 18, 85.

    Google Scholar 

  • Vernazza, J. E., Avrett, E. H., and Loeser, R.: 1981, Astrophys. J. Suppl. 45, 635.

    Google Scholar 

  • Woodard, M. and Hudson, H.: 1983, Solar Phys. 82, 67 (this volume).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute d'Astrophysique, Liège, Belgium

    Jørgen Christensen-Dalsgaard

  2. Advanced Study Program, National Center for Atmospheric Research, U.S.A.

    Jørgen Christensen-Dalsgaard

  3. High Altitude Observatory, National Center for Atmospheric Research, Boulder, Colo., U.S.A.

    Søren Frandsen

  4. Astronomisk Institut, Aarhus Universitet, DK-8000, Aarhus C., Denmark

    Søren Frandsen

Authors
  1. Jørgen Christensen-Dalsgaard
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Søren Frandsen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Proceedings of the 66th IAU Colloquium: Problems in Solar and Stellar Oscillations, held at the Crimean Astrophysical Observatory, U.S.S.R., 1–5 September, 1981.

NCAR is sponsored by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Christensen-Dalsgaard, J., Frandsen, S. Radiative transfer and solar oscillations. Sol Phys 82, 165–204 (1983). https://doi.org/10.1007/BF00145558

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00145558

Keywords

Search

Navigation