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Radiative Transfer and Solar Oscillations*

Published online by Cambridge University Press:  12 April 2016

Jørgen Christensen-Dalsgaard
Affiliation:
Institute d'Astrophysique, Liège, Belgium Advanced Study Program, National Center for Atmospheric Research**
Philip R. Goode
Affiliation:
High Altitude Observatory, National Center for Atmospheric Research**, Boulder, Colo., U.S.A. Astronomisk Institut†, Aarhus Universitet, DK-8000 Aarhus C, Denmark

Abstract

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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.

Type
Research Article
Copyright
Copyright © Reidel 1983

Footnotes

**

NCAR is sponsored by the National Science Foundation.

Permanent address.

*

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.

References

Ando, H. and Osaki, Y.: 1975, Pubi. Astron. Soc. Japan 27, 95.Google Scholar
Ando, H. and Osaki, Y.: 1977, Pubi. Astron. Soc. Japan 29, 581.Google Scholar
Athay, R.G.: 1981, in Jordan, S. (ed.), The Sun as a Star, CNRS, NASA, p. 85.Google Scholar
Auer, L.H. and Mihalas, D.: 1970, Monthly Notices Roy. Astron. Soc. 149, 65.CrossRefGoogle 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. Google Scholar
Bahng, J. and Schwarzschild, M.: 1963, Astrophys. J. 137, 901.CrossRefGoogle Scholar
Baker, N.H. and Gough, D.O.: 1979, Astrophys. J. 234, 232.CrossRefGoogle Scholar
Baker, N.H. and Kippenhahn, R.: 1965, Astrophys. J. 142, 868.CrossRefGoogle 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.CrossRefGoogle Scholar
Brown, T.M. and Harrison, R.L.: 1980, in Hill, H.A. and Dziembowski, W. (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.Google Scholar
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.CrossRefGoogle 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.CrossRefGoogle Scholar
Davis, C.G. Jr.: 1971, J. Quant. Spectrosc. Rad. Transfer 11, 647.Google Scholar
Deubner, F.-L., Ulrich, R.K., and Rhodes, E.J. Jr.: 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.CrossRefGoogle Scholar
Gough, D.O.: 1980, in Hill, H.A. and Dziembowski, W. (eds.), Lecture Notes in Physics 125, Springer, Heidelberg, p. 273.Google Scholar
Gouttebroze, P. and Leibacher, J.W.: 1980, Astrophys. J. 238, 1134.CrossRefGoogle 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.CrossRefGoogle 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.Google Scholar
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.Google Scholar
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.CrossRefGoogle Scholar
Rhodes, E.J. Jr., 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.CrossRefGoogle Scholar
Schmieder, B.: 1976, Solar Phys. 47, 435.CrossRefGoogle Scholar
Schmieder, B.: 1977, Solar Phys. 54, 269.Google Scholar
Schmieder, B.: 1978, Solar Phys. 57, 245.CrossRefGoogle 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 Hill, H.A. and Dziembowski, W. (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, E.J. Jr.: 1977, Astrophys. J. 218, 521.Google Scholar
Unno, W.: 1967, Pubi. Astron. Soc. Japan 19, 140.Google Scholar
Unno, W. and Spiegel, E.A.: 1966, Pubi. 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