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The Theory of Extended and Expanding Atmospheres

Published online by Cambridge University Press:  14 August 2015

Karl-Heinz Böhm*
Affiliation:
University of Washington, Seattle, Washington, U.S.A.

Abstract

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(A) The possibilities and the difficulties of a theoretical study of extended atmospheres in binaries are briefly discussed.

(B) We try to summarize and discuss critically the present status of the theory of three types of extended atmospheres (i.e. atmospheres in which the average photon mean-free-path is the same order of magnitude or larger than the stellar radius):

(1) Extended atmospheres in hydrostatic and in grey or non-grey radiative equilibrium.

(2) Dynamic (expanding) atmospheres which occur if the radiative acceleration is slightly smaller than the acceleration of gravity.

(3) Stellar coronae which are formed in the presence of a mechanical energy flux.

In (1) we study the importance of the ‘forward peaking’ of the radiation field in the outer layers of the atmosphere. The possibilities for the solution of the non-grey transfer problem in an extended atmosphere are discussed.

In (2) we pay special attention to Marlborough's and Roy's (1970) result that the atmospheric gas cannot be accelerated directly to supersonic velocities by the action of the radiation force.

In (3) the large differences in the coronal properties of stars of different chemical composition are emphasized. We draw attention to the partially unexplored but probably very interesting properties of coronae of helium-rich stars.

Type
Research Article
Copyright
Copyright © Reidel 1973 

References

Abhyankar, K. D.: 1965, Astrophys. J. 141, 1056.Google Scholar
Arakelian, M. A.: 1969, Astrofizika 5, 75.Google Scholar
Beals, C. S.: 1931, Monthly Notices Roy. Astron. Soc. 91, 966.Google Scholar
Biermann, L. and Lüst, R.: 1960, in Greenstein, J. L. (ed.), Stellar Atmospheres, Univ. of Chicago Press, p. 260.Google Scholar
Bisnovatyi-Kogan, G. S. and Zel'dovich, Ya. B.: 1968, Soviet Astron. 12, 192; Astron. Zh. 45, 241.Google Scholar
Böhm, K. H.: 1968, in Osterbrock, D. E. and O'Dell, C. R. (eds.), Planetary Nebulae, Reidel Publ. Co., p. 297.Google Scholar
Böhm, K. H.: 1969, Astron. Astrophys. 1, 180.Google Scholar
Böhm, K. H. and Cassinelli, J. P.: 1970, in Groth, H. G. and Wellmann, P. (eds.), Spectrum Formation in Stars with Steady-State Extended Atmospheres, NBS Spec. Publ. 332, p. 54.Google Scholar
Böhm, K. H. and Cassinelli, J. P.: 1971, Astron. Astrophys. 12, 21.Google Scholar
Brandt, J. C.: 1970, Introduction to the Solar Wind, Freeman and Co., San Francisco.Google Scholar
Buerger, P.: 1969, Astrophys. J. 158, 1151.Google Scholar
Carlson, B. G. and Lathrop, K. D.: 1968, in Greenspan, H., Kelber, C. N., and Okrent, D. (eds.), Computing Methods in Reactor Physics, Gordon and Breach, New York.Google Scholar
Cassinelli, J. P.: 1970, Extended Model Atmospheres for Central Stars of Planetary Nebulae, , Univ. of Washington.Google Scholar
Cassinelli, J. P.: 1971, Astrophys. J. 165, 265.Google Scholar
Cassinelli, J. P. and Castor, J. I.: 1972, Astrophys. J. (in press).Google Scholar
Cassinelli, J. P. and Hummer, D. G.: 1971, Monthly Notices Roy. Astron. Soc. 154, 9.Google Scholar
Chandrasekhar, S.: 1934, Monthly Notices Roy. Astron. Soc. 94, 444.Google Scholar
Chandrasekhar, S.: 1945, Astrophys. J. 101, 95.Google Scholar
Chandrasekhar, S.: 1960, Radiative Transfer, Dover Publ., New York.Google Scholar
Chapman, R. D.: 1964, Radiative Transfer in Extended Stellar Atmospheres, .Google Scholar
Chapman, R. D.: 1966, Astrophys. J. 143, 61.Google Scholar
Collins, G. W. II: 1963, Astrophys. J. 138, 1134.Google Scholar
Collins, G. W. II: 1968a, Astrophys. J. 151, 217.Google Scholar
Collins, G. W. II: 1968b, Astrophys. J. 152, 847.Google Scholar
Collins, G. W. II: 1970, Astrophys. J. 159, 583.Google Scholar
Collins, G. W. II and Harrington, J. P.: 1966, Astrophys. J. 146, 152.Google Scholar
de Jager, C. and Kuperus, M.: 1961, Bull. Astron. Inst. Neth. 16, 71.Google Scholar
De Loore, C.: 1970, Astrophys. Space Sci. 6, 60.Google Scholar
De Loore, C. and de Jager, C.: 1970, in Gratton, L. (ed.), ‘Non-Solar X- and Gamma-Ray Astronomy’, IAU Symp. 37, 238, Reidel Publ. Co. Google Scholar
Finzi, A. and Wolf, R.: 1971, Astron. Astrophys. 11, 418.Google Scholar
Groth, H. G.: 1957, Z. Astrophys. 43, 185.Google Scholar
Groth, H. G.: 1970, in Groth, H. G. and Wellmann, P. (eds.), Spectrum Formation in Stars with Steady-State Extended Atmospheres, NBS Spec. Publ. 332, p. 283.Google Scholar
Hardorp, J. and Strittmatter, P. A.: 1968a, Astrophys. J. 151, 1057.Google Scholar
Hardorp, J. and Strittmatter, P. A.: 1968b, Astrophys. J. 153, 465.Google Scholar
Holzer, T. E. and Axford, W. I.: 1970, Ann. Rev. Astron. Astrophys. 8, 31.Google Scholar
Hopf, E.: 1934, Mathematical Problems of Radiative Equilibrium, Cambridge Univ. Press.Google Scholar
Hummer, D. G. and Rybicki, G. B.: 1971, Monthly Notices Roy. Astron. Soc. 152, 1.Google Scholar
Kopal, Z.: 1959, Close Binary Systems, Chapman and Hall, London.Google Scholar
Kosirev, N. A.: 1934, Monthly Notices Roy. Astron. Soc. 94, 430.Google Scholar
Kuperus, M.: 1965, The Transfer of Mechanical Energy in the Sun and the Heating of the Corona, Reidel Publ. Co., Dordrecht.Google Scholar
Kuperus, M.: 1966, Trans. IAU XIIB, 564.Google Scholar
Kutter, G. S., Savedoff, M. P., and Schuermann, D. W.: 1969, Astrophys. Space Sci. 3, 182.Google Scholar
Landau, L. D. and Lifshitz, E. M.: 1959, Fluid Mechanics, Pergamon Press, London, p. 372.Google Scholar
Lighthill, M. J.: 1954, Proc. Roy. Soc. London 222, 1.Google Scholar
Lighthill, M. J.: 1955, in Burgers, J. M. and van de Hulst, H. C. (eds.), Gas Dynamics of Cosmic Clouds, Interscience Publ., New York, p. 121.Google Scholar
Lighthill, M. J.: 1967, in Thomas, R. N. (ed.), ‘Cosmical Gas Dynamics’, IAU Symp. 28, Academic Press, New York, p. 429.Google Scholar
Lucy, L. B.: 1964, Smithsonian Astrophys. Obs. Spec. Report., No. 167, p. 93.Google Scholar
Lucy, L. B.: 1971, Astrophys. J. 163, 95.Google Scholar
Lucy, L. B. and Solomon, P. M.: 1970, Astrophys. J. 159, 879.Google Scholar
Mark, C.: 1947, Phys. Rev. 72, 558.Google Scholar
Marlborough, J. M. and Roy, J. R.: 1970, Astrophys. J. 160, 221.Google Scholar
McCrea, W. H.: 1928, Monthly Notices Roy. Astron. Soc. 88, 729.Google Scholar
Mihalas, D.: 1969, Astrophys. J. Letters 156, L155.Google Scholar
Minin, I. N.: 1965, Astrofizika 1, 275.Google Scholar
Morton, D. C., Jenkins, E. B., and Bohlin, R. C.: 1968, Astrophys. J. 154, 661.Google Scholar
Nariai, K.: 1969, Astrophys. Space Sci. 3, 160.Google Scholar
Paczyński, B.: 1968, Acta Astron. 18, 511.Google Scholar
Parker, E. N.: 1963, Interplanetary Dynamical Processes, Interscience Publ., New York.Google Scholar
Pearce, W. P.: 1967, Radiative Transfer in Finite Extended Stellar Atmospheres, , Northwestern Univ., Evanston, Ill.Google Scholar
Periah, A.: 1969, Astron. Astrophys. 3, 163.Google Scholar
Praderie, F.: 1970, in Groth, H. G. and Wellmann, P. (eds.), Spectrum Formation in Stars with Steady-State Extended Atmospheres, NBS Spec. Publ. 332, p. 241.Google Scholar
Proudman, I.: 1952, Proc. Roy. Soc. London 214, 119.Google Scholar
Rottenberg, J. A.: 1952, Monthly Notices Roy. Astron. Soc. 112, 125.Google Scholar
Roxburgh, I. W. and Strittmatter, P. A.: 1965, Z. Astrophys. 63, 15.Google Scholar
Ruciński, S. M.: 1969, Acta Astron. 19, 245.Google Scholar
Ruciński, S. M.: 1971, Acta Astron. 21, 455.Google Scholar
Rybicki, G.: 1970, in Spectrum Formation in Stars with Steady-State Extended Atmospheres, NBS Spec. Publ. 332, p. 87.Google Scholar
Sapar, A. and Viik, T.: 1968, Publ. Tartu Astrophys. Obs. 36, 120.Google Scholar
Schmid-Burgk, J.: 1969, Mass Loss from Central Stars of Planetary Nebulae, , Univ. of Heidelberg.Google Scholar
Shklovskii, I. S.: 1965, Physics of the Solar Corona, Pergamon Press, Oxford.Google Scholar
Sobolev, V. V.: 1960, Moving Envelopes of Stars (Engl. Transl.), Harvard Univ. Press.Google Scholar
Souffrin, P.: 1966, Ann. Astrophys. 29, 55.Google Scholar
Stein, R. F.: 1968, Astrophys. J. 154, 297.Google Scholar
Strittmatter, P. A., Brecher, K., and Burbidge, G. R.: 1972, Astrophys. J. 174, 91.Google Scholar
Thomas, R. N.: 1970, in Groth, H. G. and Wellmann, P. (eds.), Spectrum Formation in Stars with Steady-State Extended Atmospheres, NBS Spec. Publ. 332, p. 38.Google Scholar
Ulmschneider, P.: 1967, Z. Astrophys. 67, 193.Google Scholar
Ulmschneider, P.: 1971a, Astron. Astrophys. 12, 297.Google Scholar
Ulmschneider, P.: 1971b, Astron. Astrophys. 14, 275.Google Scholar
Ulrich, R. K.: 1972, The Propagation of Acoustic Waves in Stellar Atmospheres and Chromospheric Heating, preprint.Google Scholar
Underhill, A. B.: 1949, Monthly Notices Roy. Astron. Soc. 109, 562.Google Scholar
Underhill, A. B.: 1966, The Early Type Stars, Reidel, Dordrecht.Google Scholar
Underhill, A. B.: 1970, in Groth, H. G. and Wellmann, P. (eds.), Spectrum Formation in Stars with Steady-State Extended Atmospheres, NBS Spec. Publ. 332, p. 3.Google Scholar
Unsöld, A.: 1951, Naturwiss. 38, 525.Google Scholar