Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T16:47:13.192Z Has data issue: false hasContentIssue false

Theoretical Methods of Treating Line Formation Problems in Steady-State Extended Atmospheres

Published online by Cambridge University Press:  08 February 2017

George B. Rybicki*
Affiliation:
Smithsonian Astrophysioal Observatory, Cambridge, Massachusetts

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Theoretical methods applicable to the study of line formation in steady-state extended atmospheres are reviewed. The formal solution of the transfer equation is considered, as well as numerical and analytical methods of determining the source function. Topics discussed include: the local frequency transformation, geometrical effects, and the case of large velocity gradients. A new plane-parallel approximation for spherically symmetric moving atmospheres is given that takes account of transverse velocity gradients.

Type
Part B. Theoretical Methods for Handling Non-LTE Problems
Copyright
Copyright © 1970

References

Abyankar, K. C. 1964a, Ap. J., 140, 1353.Google Scholar
Abyankar, K. D. 1964b, Ap. J., 140, 1368.CrossRefGoogle Scholar
Abyankar, K. D. 1965, Ap. J., 141, 1056.CrossRefGoogle Scholar
Bappu, , and Menzel, D. J. 1954, Ap. J., 119, 508.CrossRefGoogle Scholar
Beals, C. S. 1931, Monthly Notices Roy. Astron. Soc., 91, 966.Google Scholar
Castor, J. I. 1970, Monthly Notices Roy. Astron. Soc. (to be published).Google Scholar
Castor, J. I., and Van Blerkom, D. 1970 (to be published).Google Scholar
Chandrasekhar, S. 1934, Monthly Notices Roy. Astron. Soc., 94, 522.Google Scholar
Feautrier, P. 1964, Compt. Rend. Acad. Sci. Paris 258, 3189.Google Scholar
Hummer, D. G. 1962, Monthly Roy. Astron. Soc., 125, 21.CrossRefGoogle Scholar
Hummer, D. G. 1968, Monthly Notices Roy. Astron. Soc., 141, 479.Google Scholar
Hummer, D. G., and Rybicki, G. B. 1967, in Methods of Computational Physics, Eds. Alder, B., Fernbach, S., Rotenberg, M., Academic Press, New York, p. 53.Google Scholar
Hummer, D. G., and Rybicki, G. B. 1968, Ap. J., 153, L107.Google Scholar
Jefferies, J. T. 1968, Spectral Line Formation, Blaisdel, Waltham, Mass.Google Scholar
Kalkofen, W. 1970, proceedings this colloquium, see page 120.Google Scholar
Kulander, J. L. 1964, Thesis, University of Colorado (unpublished).Google Scholar
Kulander, J. L. 1967, Ap. J., 147, 1063.CrossRefGoogle Scholar
Kulander, J. L. 1968, J. Quantit. Spectrosc. Radiat. Transfer, 8, 273.Google Scholar
Lyong, L. V. 1967, Soviet Action., 11, 224.Google Scholar
Magnan, C. 1968, Astrophys. Letters, 2, 213.Google Scholar
Mathis, J. 1968, in Resonance, Lines in Astrophysics, Manuscripts presented at a conference held in Boulder, Colorado 9 - 11 September, 1968, National Center for Atmospheric Research, Boulder, Colorado.Google Scholar
McCrea, W. and Mitra, K. 1936, Z. Astrophys., 11, 359.Google Scholar
Milne, E. A. 1930, Z. Astrophys. 1, 98.Google Scholar
Oxenius, J. 1965, J. Quantit. Spectrosc. Radiat. Transfer 5, 771.Google Scholar
Rublev, S. V. 1961, Sov. Astron., 4, 780.Google Scholar
Rublev, S. V. 1964, Sov. Astron., 7, 492.Google Scholar
Rybicki, G. B., and Hummer, D. G. 1967, Ap. J., 150, 607.Google Scholar
Rybicki, G. B. and Hummer, D. G. 1969, Monthly Roy. Astron. Soc., 144, 313.CrossRefGoogle Scholar
Sobolev, V. V. 1947, Moving Envelopes of Stars, Leningrad State University (in Russian); Transl. By Gaposchkin, S., Harvard University Press, Cambridge, Mass., 1960.Google Scholar
Sobolev, V. V. 1957, Sov., Astron., 1, 678.Google Scholar
Sobolev, V. V. 1958, in Theoretical Astrophysics, Ed. Ambartsumyan, V. A., Pergamon Press, New York, Chapter 28.Google Scholar