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Formation of emission spectra in movin media

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Astrophysics Aims and scope

Conclusions

It can be seen from the above review that the theory of radiative transfer in moving media in its classical field of applications is a well-developed branch of theoretical astrophysics. Studies i n recent years have clarified important questions such as the asymptotic behavior of the kernel functions and the characteristic lengths of the theory. It has been established that there are two types of radiative coupling, and the influence of nonlocal radiative coupling on the formation of spectral lines and radiation pressure has been investigated. The theory now has at its disposal a large selection of asymptotic, approximate, and numerical methods for solving different applied problems.

Despite the competition from numerical methods, the overwhelming majority of calculations of emission spectra in the region of supersonic motions has been made on the basis of the escape-probability method and its generalization to the case of nonlocal radiative coupling. This is explained not only by the simplicity and economy of the method but even more by the fact that the greater accuracy of the calculations that can be achieved by using numerical methods is frequently spurious, since it certainly exceeds the accuracy of the basic assumptions. The real way to increase the reliability in the diagnosis of a radiating gas is, first, to solve simultaneously many-level problems for the group of elements whose lines are observed in the spectrum of the object. Second, where possible, one must solve simultaneously the stationary equations and the heat balance equations.

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Literature Cited

  1. C. S. Beals, Mon. Not. R. Astron. Soc.,91, 966 (1931).

    Google Scholar 

  2. C. S. Beals, Publ. Dom. Astrophys. Obs., Victoria, B. C.,6, 111 (1934).

    Google Scholar 

  3. B. Gerasimovic, Z. Astrophys.,7, 335 (1933).

    Google Scholar 

  4. S. Chandrasekhar, Mon. Not. R. Astron. Soc.,94, 522 (1934).

    Google Scholar 

  5. W. H. McCrea and K. K. Mirta, Z. Astrophys.,11, 359 (1936).

    Google Scholar 

  6. S. Chandrasekhar, Rev. Mod. Phys.,17, 138 (1945).

    Google Scholar 

  7. S. Chandrasekhar, Astrophys. J.,102, 402 (1945).

    Google Scholar 

  8. V. V. Sobolev, Astron. Zh.,21, 143 (1944).

    Google Scholar 

  9. V. V. Sobolev, Astron. Zh.,23, 193 (1946).

    Google Scholar 

  10. V. V. Sobolev, Astron. Zh.,24, 13 (1947).

    Google Scholar 

  11. V. V. Sobolev, Astron. Zh.,25, 3 (1948).

    Google Scholar 

  12. V. V. Sobolev, Astron. Zh.,24, 205 (1947).

    Google Scholar 

  13. V. V. Sobolev, Moving Envelpes of Stars [in Russian], LGU (1947).

  14. V. V. Sobolev, Astron. Zh.,34, 694 (1957).

    Google Scholar 

  15. V. V. Sobolev, Astron. Zh.,36, 753 (1959).

    Google Scholar 

  16. V. A. Ambartsumyan, É. R. Mustel', A. B. Severnyi, and V. V. Sobolev, Course of Theoretical Astrophysics [in Russian], GITTL, Moscow (1952), p. 479.

    Google Scholar 

  17. S. G. Slyusarev, Candidate's Dissertation [in Russian], LGU (1953).

  18. V. Doazan, Ann. Astrophys.,28, 1 (1965).

    Google Scholar 

  19. S. V. Rublev, Astron. Zh.,37, 828 (1960).

    Google Scholar 

  20. S. V. Rublev, Astron. Zh.,40, 643 (1963).

    Google Scholar 

  21. L. V. Liong, Astron. Zh.,44, 283 (1967).

    Google Scholar 

  22. J. I. Castor and D. Van Blerkom, Astron. J.,161, 485 (1970).

    Google Scholar 

  23. A. A. Boyarchuk, Izv. Krym. Astrofiz. Obs.,35, 45 (1966).

    Google Scholar 

  24. V. G. Gorbatskii, Novalike Stars [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  25. J. B. Hutchings, Mon. Not. R. Astron. Soc.,147, 367 (1970).

    Google Scholar 

  26. R. E. Gershberg, Izv. Krym. Astrofiz. Obs.,51, 117 (1974).

    Google Scholar 

  27. G. B. Rybicki, in: Spectrum Formation in Stars with Steady-State Extended Atmospheres, Vol. 332, N.B.S. Spec. Publ. (1970), p. 87.

  28. D. Van Blerkom, in: Wolf-Rayet and High-Temperature Stars, IAU Symposium N 49 (eds. M. K. V. Bappu and J. Sahade) (1973), p. 165.

  29. D. J. Hummer, in: Be and Shell Stars, IAU Symposium N70 (ed. A. Slettebak), Reidel, Dordrecht (1976), p. 281.

    Google Scholar 

  30. C. Magnan, Astron. Astrophys., 35, 233 (1974).

    Google Scholar 

  31. D. Mihalas, R. A. Shine, R. B. Kunasz, and D. G. Hummer, Astrophys. J.,205, 492 (1976).

    Google Scholar 

  32. W.-R. Hamman and R.-P. Kudritzki, Astron. Astrophys.,54, 525 (1977).

    Google Scholar 

  33. J. I. Castor, Mon. Not. R. Astron. Soc.,149, 111 (1970).

    Google Scholar 

  34. V. P. Grinin, Izv. Krym. Astrofiz. Obs.,54, 176 (1976).

    Google Scholar 

  35. S. I. Grachev and V. P. Grinin, Astrofizika,11, 33 (1975).

    Google Scholar 

  36. V. P. Grinin, Astrofizika,14, 201 (1978).

    Google Scholar 

  37. S. Deguchi and Y. Fukui, Publ. Astron. Soc. Jpn.,29, 683 (1977).

    Google Scholar 

  38. G. B. Rybicki and D. J. Hummer, Astrophys. J.,219, 654 (1978).

    Google Scholar 

  39. F. Marti and P. D. Noerdlinger, Astrophys. J.,215, 247 (1977).

    Google Scholar 

  40. J. Surdei, Astron. Astrophys.,60, 303 (1978).

    Google Scholar 

  41. J. Surdei, Astrophys. Space Sci.,73, 101 (1980).

    Google Scholar 

  42. G. L. Olson, Astrophys. J.,255, 267 (1982).

    Google Scholar 

  43. T. G. Hewitt and P. D. Noerdlinger, Astrophys. J.,188, 315 (1974).

    Google Scholar 

  44. W. R. Hamman, Astron. Astrophys.,93, 353 (1981).

    Google Scholar 

  45. J. Surdej and J. P. Swings, Astron. Astrophys.,96, 242 (1981).

    Google Scholar 

  46. V. P. Grinin, Astron. Zh.,59, 1070 (1982).

    Google Scholar 

  47. C. Bertout, Astron. Astrophys.,80, 138 (1979).

    Google Scholar 

  48. U. Bastian, Astron. Astrophys.,109, 245 (1982).

    Google Scholar 

  49. C. Fransson, Astron. Astrophys.,132, 115 (1984).

    Google Scholar 

  50. J. Surdej, Astron. Astrophys.,62, 135 (1978).

    Google Scholar 

  51. V. P. Grinin, Astrofizika,10, 239 (1974).

    Google Scholar 

  52. S. I. Grachev, Astrofizika,13, 185 (1977).

    Google Scholar 

  53. G. B. Rybicki and D. G. Hummer, Mon. Not. R. Astron. Soc.,144, 313 (1968).

    Google Scholar 

  54. S. I. Grachev, Vestn. LGU, No. 19, 114 (1977).

    Google Scholar 

  55. D. G. Hummer and G. B. Rybicki, Astrophys. J.,254, 767 (1982).

    Google Scholar 

  56. V. P. Grinin, Izv. Krym. Astrofiz. Obs.,54, 176 (1976).

    Google Scholar 

  57. S. I. Grachev, Vestn. LGU, No. 1, 129 (1978).

    Google Scholar 

  58. N. N. Chugai, Pis'ma Astron. Zh.,6, 166 (1980).

    Google Scholar 

  59. V. V. Vityazev, Vestn. LGU,19, 124 (1973).

    Google Scholar 

  60. S. I. Grachev, Vestn. LGU, No. 1, 128 (1976).

    Google Scholar 

  61. S. I. Grachev, Astrofizika,14, 111 (1978).

    Google Scholar 

  62. S. I. Grachev, “Radiative transfer in expanding plane-parallel media,” Paper No. 1007-78 Deposited at VINITI (1978).

  63. S. I. Grachev, Vestn. LGU, No. 1, 77; No. 7, 85 (1982).

    Google Scholar 

  64. E. Simmonneau, Astron. Astrophys.,29, 357 (1973).

    Google Scholar 

  65. V. V. Vityazev, Tr. AO LGU,35 (1978).

  66. J. I. Castor and H. J. G. L. M. Lamers, Astrophys. J. Suppl. Ser.,39, 481 (1979).

    Google Scholar 

  67. L. B. Lucy, Astrophys. J.,163, 95 (1971).

    Google Scholar 

  68. G. L. Olson, Astrophys. J.,245, 1054 (1981).

    Google Scholar 

  69. V. G. Gorbatskii, Astron. Zh.,41, 849 (1964).

    Google Scholar 

  70. S. Kriz, BAC,25, 143 (1974).

    Google Scholar 

  71. S. Kriz, BAC,30, 83 (1979).

    Google Scholar 

  72. S. Kriz, BAC,30, 95 (1979).

    Google Scholar 

  73. C. Bertout, Proc. IAU Coll. N 42, Bamberg (eds. R. Kippenhahn, J. Rahe, and W. Strohmeier) (1977).

  74. C. Magnan, J. Q. S. R. T.,10, 1 (1970).

    Google Scholar 

  75. C. Magnan, Astron. Astrophys.,21, 361 (1972).

    Google Scholar 

  76. U. Bastian, C. Bertout, L. Stenholm, and R. Wehrse, Astron. Astrophys.,86, 105 (1980).

    Google Scholar 

  77. W. R. Hamann, Astron. Astrophys.,93, 353 (1981).

    Google Scholar 

  78. D. A. Varshalovich and R. A. Syunyaev, Astrofizika,4, 359 (1968).

    Google Scholar 

  79. M. M. Basko, Zh. Eksp. Teor. Fiz.,75, 1278 (1978).

    Google Scholar 

  80. C. Magnan, J. Q. S. R. T.,14, 123 (1974).

    Google Scholar 

  81. U. Frish and H. Frish, Mon. Not. R. Astron. Soc.,173, 167 (1975).

    Google Scholar 

  82. K. D. Abhyankar, Astrophys. J.,140, 1353 (1964).

    Google Scholar 

  83. D. G. Hummer and G. B. Rybicki, Astrophys. J.,153, L 107 (1968).

    Google Scholar 

  84. J. Kulander, Astrophys. J.,165, 543 (1971).

    Google Scholar 

  85. V. V. Ivanov and V. T. Shcherbakov, Astrofizika,1, 22 (1965).

    Google Scholar 

  86. V. V. Ivanov, Astron. Zh.,49, 115 (1972).

    Google Scholar 

  87. D. G. Hummer and G. B. Rybicki, Astrophys. J.,263, 925 (1982).

    Google Scholar 

  88. V. P. Grinin, Izv. Krym. Astrofiz. Obs.,51, 65 (1974).

    Google Scholar 

  89. V. V. Ivanov, Radiative Transfer and the Spectra of Celestial Bodies [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  90. V. G. Buslavskii and A. B. Severnyi, in: Stars, Nebulas, Galaxies [in Russian], Erevan (1969), p. 129.

  91. C. J. Durrant, Astron. Astrophys.,73, 137 (1979).

    Google Scholar 

  92. B. Buonaura and B. Cassik, Astron. Astrophys.,111, 113 (1982).

    Google Scholar 

  93. R. Shine, Astrophys. J.,202, 543 (1975).

    Google Scholar 

  94. D. Mihalas, Stellar Atmospheres, San Francisco (1970) (Russian translation published by Mir, Moscow (1982).

  95. P. Feautrier, C. R. Acad. Sci.,258, 3189 (1964).

    Google Scholar 

  96. G. B. Rybicki, J. Q. S. R. T.,11, 589 (1971).

    Google Scholar 

  97. P. Noerdlinger and G. Rybicki, Astrophys. J.,193, 651 (1974).

    Google Scholar 

  98. P. Kunasz and D. Hummer, Mon. Not. R. Astron. Soc.,166, 57 (1974).

    Google Scholar 

  99. D. Mihalas, P. Kunasz, and D. Hummer, Astrophys. J.,202, 465 (1975).

    Google Scholar 

  100. D. Mihalas, P. Kunasz, and D. Hummer, Astrophys. J.,210, 419 (1976).

    Google Scholar 

  101. D. Mihalas, R. A. Shine, P. B. Kunasz, and D. G. Hummer, Astrophys. J.,205, 492 (1976).

    Google Scholar 

  102. D. Mihalas, Astrophys. J.,238, 1034 (1980).

    Google Scholar 

  103. D. Mihalas and P. B. Kunasz, Astrophys. J.,219, 635 (1978).

    Google Scholar 

  104. D. Mihalas, Astrophys. J.,238, 1042 (1980).

    Google Scholar 

  105. D. Mihalas, Mon. Not. R. Astron. Soc.,189, 671 (1979).

    Google Scholar 

  106. I. P. Grant and A. Peraiah, Mon. Not. R. Astron. Soc.,160, 239 (1972).

    Google Scholar 

  107. A. Peraiah, Astrophys. Space Sci.,77, 243 (1981).

    Google Scholar 

  108. A. Peraiah and K. N. Nagendra, Astrophys. Space Sci.,90, 437 (1983).

    Google Scholar 

  109. P. Heinzel and I. Hybeny, J. Q. S. R. T.,30, 77 (1983).

    Google Scholar 

  110. L. H. Auer and D. Van Blerkom, Astrophys. J.,178, 175 (1972).

    Google Scholar 

  111. A. M. Sobolev and N. N. Chugai, Pis'ma Astron. Zh.,8, 607 (1982).

    Google Scholar 

  112. L. J. caroff, P. D. Noerdlinger, and J. P. Scargle, Astrophys. J.,176, 439 (1972).

    Google Scholar 

  113. C. A. Bernes, Astron. Astrophys.,78, 67 (1979).

    Google Scholar 

  114. A. M. Sobolev, Nauchn. Informatsii,50, 47 (1982).

    Google Scholar 

  115. R. L. Shell and R. B. Loren, Astrophys. J.,211, 122 (1977).

    Google Scholar 

  116. R. B. Kunasz and D. Van Blerkom, Astrophys. J.,224, 193 (1978).

    Google Scholar 

  117. P. B. Kunasz, Astrophys. J.,237, 819 (1980).

    Google Scholar 

  118. V. V. Sobolev and V. V. Ivanov, Uch. Zap. LGU, No.307, 3 (1962).

    Google Scholar 

  119. R. Hirata and A. Uesugi, Kwasan. Obs. Kyoto, N 156 (1967).

  120. V. G. Gorbatskii, Astrofizika,1, 129 (1965).

    Google Scholar 

  121. R. E. Gershberg and É. É. Shnol', Izv. Krym. Astrofiz. Obs.,50, 122 (1974).

    Google Scholar 

  122. V. P. Grinin and N. A. Katysheva, Izv. Krym. Astrofiz. Obs.,62, 66 (1980).

    Google Scholar 

  123. C. Gordon, S. Collin-Souffrin, and D. Dultzin-Hacyan, Astron. Astrophys.,103, 69 (1981).

    Google Scholar 

  124. N. A. Katysheva, Astrofizika,19, 55 (1983).

    Google Scholar 

  125. L. Luud and M. Il'mas, Emission Lines in the Spectra of Stars [in Russian], Tartu (1971).

  126. M. Il'mas, Hydrogen Emission Lines in the Spectra of Stars [in Russian], Tartu (1974).

  127. V. P. Grinin and N. A. Katysheva, Izv. Krym. Astrofiz. Obs.,62, 59 (1980).

    Google Scholar 

  128. V. P. Grinin, Astrofizika,16, 241 (1980).

    Google Scholar 

  129. N. A. Katysheva, Astrofizika,17, 301 (1981).

    Google Scholar 

  130. R. E. Gershberg and L. Luud, “Emission lines in stellar spectra: observations and interpretation,” Preprint N 7 [in Russian], Tartu (1975).

  131. P. Kuan and L. V. Kuhi, Astrophys. J.,199, 148 (1975).

    Google Scholar 

  132. P. Kuan, Astrophys. J.,202, 425 (1975).

    Google Scholar 

  133. T. A. Nugis, I. R. Kolka, and L. S. Luud, Publ. Tartuskoi Obs.,47, 191 (1979).

    Google Scholar 

  134. I. Kolka, “Models of the envelope of the star P Cyg. Analysis on the basis of the hydrogen spectral lines,” Preprint A-4 [in Russian] (1980).

  135. V. P. Grinin, Izv. Krym. Astrofiz. Obs.,62, 54 (1980).

    Google Scholar 

  136. A. A. Nikitin, Candidate's Dissertation [in Russian], LGU (1951).

  137. W. R. Oegerle and D. Van Blerkom, Astrophys. J.,206, 150 (1976).

    Google Scholar 

  138. W. R. Oegerle and D. Van Blerkom, Astrophys. J.,208, 154 (1976).

    Google Scholar 

  139. M. Ilmas and T. Nugis, Calculation of the Emission-Line Spectrum of He I, Tallin (1982).

  140. J. I. Castor and H. Nussbaumer, Mon. Not. R. Astron. Soc.,155, 239 (1972).

    Google Scholar 

  141. A. F. Kholtygin, Candidate's Dissertation [in Russian], LGU (1981).

  142. M. Elitzur, P. Goldreich, and N. Scoville, Astrophys. J.,205, 384 (1976).

    Google Scholar 

  143. S. Deguchi, Astrophys. J.,249, 145 (1981).

    Google Scholar 

  144. W. Boland and T. de Jong, Astron. Astrophys.,98, 149 (1981).

    Google Scholar 

  145. S. E. Robinson and D. J. Van Blerkom, Astrophys. J.,249, 566 (1981).

    Google Scholar 

  146. P. Goldreich and N. Scoville, Astrophys. J.,205, 144 (1976).

    Google Scholar 

  147. M. Morris and M. Jura, Astrophys. J.,264, 546 (1983).

    Google Scholar 

  148. P. Goldreich and J. Kwan, Astrophys. J.,189, 441 (1974).

    Google Scholar 

  149. T. De Jong, S.-I. Chu, and A. Dalgarno, Astrophys. J.,199, 69 (1975).

    Google Scholar 

  150. P. Goldreich and N. D. Kylafis, Astrophys. J. Lett.,243, L 75 (1981).

    Google Scholar 

  151. P. Goldreich and N. D. Kylafis, Astrophys. J.,253, 605 (1982).

    Google Scholar 

  152. N. D. Kylafis, Astrophys. J.,267, 137 (1983).

    Google Scholar 

  153. V. S. Strel'nitskii, Usp. Fiz. Nauk.,113, 465 (1974).

    Google Scholar 

  154. V. P. Grinin and S. A. Grigor'ev, Astron. Zh.,60, 512 (1983).

    Google Scholar 

  155. D. A. Varshalovich, Usp. Fiz. Nauk,101, 369 (1970).

    Google Scholar 

  156. M. M. Litvak, Astrophys. J.,202, 58 (1975).

    Google Scholar 

  157. M. J. Reid, D. O. Muhleman, J. M. Moran, K. J. Johnston, and P. R. Schwartz, Astrophys. J.,214, 60 (1977).

    Google Scholar 

  158. M. J. Reid et al., Astrophys. J.,239, 89 (1980).

    Google Scholar 

  159. V. P. Grinin and S. A. Grigor'ev, Pis'ma Astron. Zh.,9, 463 (1983).

    Google Scholar 

  160. D. Van Blerkom and L. Auer, Astrophys. J.,204, 775 (1976).

    Google Scholar 

  161. V. S. Strel'nitskii and R. A. Syunyaev, Astron. Zh.,49, 704 (1972).

    Google Scholar 

  162. S. Deguchi, Astrophys. J.,259, 634 (1982).

    Google Scholar 

  163. A. H. Cook, Nature,211, 503 (1967).

    Google Scholar 

  164. I. S. Shklovskii, Astron. Zh.,46, 3 (1969).

    Google Scholar 

  165. D. A. Varshalovich and V. B. Burdyuzha, Astron. Zh.,52, 1178 (1975).

    Google Scholar 

  166. W. H. Kegel and D. A. Warshalovich, Nature,286, 136 (1980).

    Google Scholar 

  167. S. B. Pikel'ner, Astron. Zh.,24, 3 (1947).

    Google Scholar 

  168. L. B. Lucy and P. M. Solomon, Astrophys. J.,159, 879 (1970).

    Google Scholar 

  169. J. I. Castor, Mon. Not. R. Astron. Soc.,169, 279 (1974).

    Google Scholar 

  170. J. I. Castor, D. C. Abbott, and R. I. Klein, Astrophys. J.,195, 157 (1975).

    Google Scholar 

  171. D. C. Abbott, Astrophys. J.,242, 1183 (1980).

    Google Scholar 

  172. S. V. Weber, Astrophys. J.,243, 954 (1981).

    Google Scholar 

  173. D. C. Abbott, Astrophys. J.,259, 282 (1982).

    Google Scholar 

  174. H. J. G. L. M. Lamers and D. C. Morton, Astrophys. J. Suppl. Ser.,32, 715 (1976).

    Google Scholar 

  175. V. P. Grinin, Astrofizika,14, 537 (1978);16, 123 (1980);17, 109 (1981).

    Google Scholar 

  176. V. P. Grinin, Astron. Zh.,59, 326 (1982).

    Google Scholar 

  177. V. G. Minogin and Yu. V. Rozhdestvenskii, Astron. Zh.,60, 694 (1983).

    Google Scholar 

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Crimean Astrophysical Observatory. Translated from Astrofizika, Vol. 20, No. 2, pp. 365–417, March–April, 1984.

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Grinin, V.P. Formation of emission spectra in movin media. Astrophysics 20, 190–223 (1984). https://doi.org/10.1007/BF01005834

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