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Theory of Spiral Structure*

Published online by Cambridge University Press:  30 March 2016

C. C. Lin*
Affiliation:
Massachusetts Institute of Technology, Cambridge, Mass., U.S.A.

Extract

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It is an honor for me to continue the discussion of galactic spirals following Professor Bok, who has contributed to the subject for many years. My experience has been relatively short. My first encounter with the study of galactic spirals occurred in 1961, when I was invited by Professor Bengt Strömgren to attend a conference on interstellar matter at Princeton, N.J. There I first learned about the winding dilemma from Professor Jan Oort. After the conference, Professor Lodewijk Woltjer, who edited the Proceedings, visited me for about a month. Thus, I began slowly to learn about spiral galaxies and to work on the subject. It turned out to be an extremely rewarding experience, for the observational data were already ripe for theoretical analysis, and the hydromagnetic theory of spiral arms was clearly encountering great difficulties. Since I was not educated as an astronomer, I owe my gratitude to Professors Strömgren, Woltjer, and Kevin Prendergast, on whom I depended for correct astronomical facts as I started my work. Without their help, I would not be standing here today. Later on, I was to receive help from many other distinguished astronomers, including Professor Bok from whom you just heard. I am greatly impressed with the community of astronomers as a dedicated group of scientists.

Type
I. Invited Discourses
Copyright
Copyright © Reidel 1971

Footnotes

*

The preparation of this paper and much of the work reported here were done with the partial support of the National Aeronautics and Space Administration and the National Science Foundation.

References

Bibliography

1. Galactic Structure Stars and Stellar Systems; vol. V (ed. by Blaauw, A. and Schmidt, M.), University of Chicago Press, Chicago, 1965.Google Scholar
2. Galactic Structure (Ithaca) Lectures in Applied Mathematics, vol. IX (ed. by Ehlers, Jürgen), American Mathematical Society, Providence, R.I., 1967.Google Scholar
3. Proceedings of IAU Symposium No. 38, held at Basel, Switzerland, August 29-September 4, 1969 (ed. by Becker, W. and Contopoulos, G.), Reidel, The Netherlands, 1970.Google Scholar
1. Galactic Structure; Google Scholar
2. Galactic Structure (Ithaca); Google Scholar
3. Basel Symposium. Google Scholar
Arp, H.: 1969, Astron. Astrophys. 3, 418.Google Scholar
Barbanis, B.: 1968a, Astrophys. J. 153, 71.Google Scholar
Barbanis, B.: 1968b, Astron. J. 73, 784.Google Scholar
Barbanis, B.: 1970, Basel Symposium, p. 343.Google Scholar
Barbanis, B. and Woltjer, L.: 1967, Astrophys. J. 150, 461.Google Scholar
Berry, C. L. and Vandervoort, P. O.: 1970, Basel Symposium, p. 336.Google Scholar
Bok, B. J.: 1932, Ph.D. Thesis, Harvard University.Google Scholar
Bok, B. J.: 1959, Observatory 74, 61.Google Scholar
Bok, B. J.: 1970, Basel Symposium, p. 457.Google Scholar
Bok, B. J., Hine, A. A., and Miller, E. W.: 1970, Basel Symposium, p. 246.Google Scholar
Burton, W. B.: 1966, B.A.M. 18, 247.Google Scholar
Burton, W. B.: 1970, Astron. Astrophys., Suppl. 2, 261, 291, 339.Google Scholar
Burton, W. B. and Shane, W. W.: 1970, Basel Symposium, p. 397.Google Scholar
Carranza, G., Courtès, G., Georgelin, Y., Monnet, G., and Pourcelot, A.: 1968, Ann. Astrophys. 31, 63.Google Scholar
Carranza, G., Crillon, R., et Monnet, G.: 1969, Astron. Astrophys. 1, 479.Google Scholar
Contopoulos, G.: 1970a, Basel Symposium, p. 303.Google Scholar
Contopoulos, G.: 1970b, Report of IAU Commission 33.Google Scholar
Contopoulos, G.: 1970c, Astrophys. J. 160, 113.Google Scholar
Crillon, R. et Monnet, G.: 1969, Astron. Astrophys. 2, 1.Google Scholar
Dickel, H. R. et al.: 1970, Basel Symposium, p. 213.Google Scholar
Dieter, N. H.: 1967, Astrophys. J. 150, 435.Google Scholar
Eggen, O. J.: 1965, Galactic Structure, p. 117.Google Scholar
Eggen, O. J.: 1969, Astrophys. J. 155, 701.Google Scholar
Feldman, Stuart: 1970, private communication.Google Scholar
Freeman, K. C.: 1966, Monthly Notices Roy. Astron. Soc. 133, 47; 134, 1, 15.Google Scholar
Freeman, K. C.: 1970, Basel Symposium, p. 351.Google Scholar
Fujimoto, M.: 1968, Astrophys. J. 152, 391.Google Scholar
Fujimoto, M.: 1969, Publ. Astron. Soc. Japan 21, 288.Google Scholar
Fujimoto, M. and Miyamoto, M.: 1969, Publ. Astron. Soc. Japan 21, 194.Google Scholar
Fujimoto, M. and Miyamoto, M.: 1970, Basel Symposium, p. 440.Google Scholar
Goldreich, P. and Lynden-Bell, D.: 1965, Monthly Notices Roy. Astron. Soc. 130, 125.Google Scholar
Henderson, A. P.: 1967, Unpublished Ph.D. Thesis, University of Maryland.Google Scholar
Hodge, P. W.: 1969, Astrophys. J. 155, 417.Google Scholar
Hohl, F.: 1970, Basel Symposium, p. 368.Google Scholar
Hohl, F. and Hockney, R. W.: 1969, J. Comput. Phys. 4, 306.Google Scholar
Humphreys Roberta, M.: 1969, Ph.D. Thesis, University of Michigan.Google Scholar
Hunter, C.: 1963, Monthly Notices Roy. Astron. Soc. 126, 299.Google Scholar
Hunter, C.: 1965, Monthly Notices Roy. Astron. Soc. 129, 321.Google Scholar
Hunter, C.: 1969a, Astrophys. J. 157, 183.Google Scholar
Hunter, C.: 1969b, Studies Appi. Math. 48, 55.Google Scholar
Hunter, C.: 1970, Basel Symposium, p. 326.Google Scholar
Hunter, C. and Toomre, A.: 1969, Astrophys. J. 155, 747.Google Scholar
Julian, W. H. and Toomre, A.: 1966, Astrophys. J. 146, 810.Google Scholar
Kalnajs, A. J.: 1965, Ph.D. Thesis, Harvard University.Google Scholar
Kalnajs, A. J.: 1970, Basel Symposium, p. 318.Google Scholar
Kerr, F. J.: 1964, The Galaxy and the Magellanic Clouds, IAU Symposium No. 20, p. 81.Google Scholar
Kerr, F. J.: 1969, Ann. Rev. Astron. Astrophys. 7, 39.Google Scholar
Kerr, F. J.: 1970, Basel Symposium, p. 95.Google Scholar
Kerr, F. J., Burke, B. F., Reifenstein, E. C., Wilson, T. L., and Mezger, P.: 1968, Nature 220, 1210.Google Scholar
Kerr, F. J. and Kerr, Maureen: 1970, Astrophys. Letters, in press.Google Scholar
Lin, C. C.: 1966, SIAM J. Appl. Math. 14, 876.Google Scholar
Lin, C. C.: 1967a, Ann. Rev. Astron. Astrophys.5, 453.Google Scholar
Lin, C. C.: 1967b, Galactic Structure (Ithaca),p. 66.Google Scholar
Lin, C. C.: 1968, in Galaxies and the Universe (Columbia), p. 33.Google Scholar
Lin, C. C.: 1970, Basel Symposium, p. 377.Google Scholar
Lin, C. C. and Shu, F. H.: 1964, Astrophys. J. 140, 646.Google Scholar
Lin, C. C. and Shu, F. H.: 1966, Proc. Nat. Acad. Sci. 55, 229.Google Scholar
Lin, C. C. and Shu, F. H.: 1967, IAU Symposium No. 31 (Noordwijk), p. 313.Google Scholar
Lin, C. C., Yuan, C., and Shu, F. H.: 1969, Astrophys. J. 155, 721.Google Scholar
Lindblad, B.: 1963, Stockholm Obs. Ann. 22, No. 5.Google Scholar
Lindblad, B. and Langebartel, R.: 1953, Stockholm Obs. Ann. 17, No. 6.Google Scholar
Lindblad, P. O.: 1960, Stockholm Obs. Ann. 21, No. 4.Google Scholar
Lindblad, P. O.: 1962, in Interstellar Matter in Galaxies, Benjamin, New York, p. 222.Google Scholar
Lynden-Bell, D.: 1967, Galactic Structure (Ithaca), p. 150.Google Scholar
Lynden-Bell, D.: 1970, Basel Symposium, p. 331.CrossRefGoogle Scholar
Lynden-Bell, D. and Ostriker, J. D.: 1967, Monthly Notices Roy. Astron. Soc. 136, 273.Google Scholar
Lynds, B. T.: 1967, Sky Telescope 34, 18.Google Scholar
Lynds, B. T.: 1970, Basel Symposium, p. 26.Google Scholar
Mark James, W-K.: 1970, private communication.Google Scholar
Marochnik, L. S. and Suchkov, A. A.: 1969, Astrophys. Space Sci. 4 317.Google Scholar
Mathewson, D. S.: 1968, Astrophys. J. 153, L47.Google Scholar
Mathewson, D. S.: 1969, Proc. Astron. Soc. Australia 1, 209.Google Scholar
Mathewson, D. S. and Nicholls, D. C.: 1968, Astrophys. J. 154, L11.Google Scholar
Mayor, M.: 1970, Astron. Astrophys. 6, 6066.Google Scholar
Mezger, P. G.: 1970, Basel Symposium, p. 106.Google Scholar
Mezger, P. G., Wilson, T. L., Gardner, F. F., and Milne, D. K.: 1969, Astron. Astrophys. 4, 96.Google Scholar
Miller, J. S.: 1968, Astrophys. J. 151, 473.Google Scholar
Miller, R. H. and Prendergast, K. H.: 1968, Astrophys. J. 151, 699.Google Scholar
Miller, R. H., Prendergast, K. H., and Quirk, W. J.: 1970, Astrophys. J. 161, 903.Google Scholar
Miyamoto, M.: 1969, Publ. Astron. Soc. Japan 21, 319.Google Scholar
Morgan, W. W.: 1970, Basel Symposium, p. 9.Google Scholar
Morse, P. M. and Feshbach, H.: 1953, Methods of Theoretical Physics, p. 1092.Google Scholar
Munch, G.: 1965, Galactic Structure, p. 203.Google Scholar
Oort, J. H.: 1967, IAU Symposium No. 31, p. 279.Google Scholar
Oort, J. H.: 1970, Basel Symposium, pp. 1, 142.Google Scholar
Prendergast, K. H.: 1962, in Interstellar Matter in Galaxies, Benjamin, New York, p. 217.Google Scholar
Reifenstein, E. C., Wilson, T. L., Burke, B. F., Mezger, P. G., and Altenhoff, W.: 1970, Astron. Astrophys. 4, 357.Google Scholar
Rickard, J.: 1968, Astrophys. J. 152, 1019.Google Scholar
Roberts, M. S.: 1966, Astrophys. J. 144, 639.Google Scholar
Roberts, M. S.: 1968, in Interstellar Ionized Hydrogen, Benjamin, New York, p. 617.Google Scholar
Roberts, W. W.: 1969, Astrophys. J. 158, 123.Google Scholar
Roberts, W. W.: 1970, Basel Symposium, p. 415.Google Scholar
Roberts, W. W. and Yuan, C.: 1970, Astrophys. J.> 161, 877.+161,+877.>Google Scholar
Sandage, A.: 1961, The Hubble Atlas of Galaxies, Carnegie Institution, Washington, D.C.Google Scholar
Shane, W. W. and Bieger-Smith, G. P.: 1966, Bull. Astron. Inst. Neth. 18, 263.Google Scholar
Shu, F. H.: 1968, Ph.D. Thesis, Harvard University.Google Scholar
Shu, F. H.: 1969, Astrophys. J. 158, 505.Google Scholar
Shu, F. H.: 1970a, Astrophys. J. 160, 89.Google Scholar
Shu, F. H.: 1970b, Astrophys. J. 160, 99.Google Scholar
Shu, F. H.: 1970c, Basel Symposium, p. 323.Google Scholar
Shu Frank, H., Stachnik Robert, V., and Yost Jonathan, C.: 1970, Astron. J. (Abstract only), in press.Google Scholar
Strömgren, Bengt: 1967, IAU Symposium No. 31, p. 323.Google Scholar
Toomre, A.: 1964, Astrophys. J. 139, 1217.Google Scholar
Toomre, A.: 1969, Astrophys. J. 158, 899.Google Scholar
Toomre, A.: 1970, Basel Symposium, p. 334.Google Scholar
Vandervoort, P. O.: 1970a, Astrophys. J. 161, 187.Google Scholar
Vandervoort, P. O.: 1970b, Basel Symposium, p. 337.Google Scholar
Vaucouleurs, G.de: 1970, Basel Symposium, p. 18.Google Scholar
Weaver, H.: 1970, Basel Symposium, p. 126.Google Scholar
Westerhout, G.: 1958, Galactic Structure, p. 196.Google Scholar
Wilson, T. L.: 1969, Ph.D. Thesis, M.I.T.Google Scholar
Wilson, T. L.: 1970, Basel Symposium, p. 140.Google Scholar
Wilson, T. L., Mezger, P. G., Gardner, F. F., and Milne, D. K.: 1970, to be published.Google Scholar
Woltjer, L.: 1970, Basel Symposium, p. 439.Google Scholar
Yabushita, S.: 1968, Monthly Notices Roy. Astron. Soc. 140, 109.Google Scholar
Yabushita, S.: 1969a, Monthly Notices Roy. Astron. Soc. 142, 201.Google Scholar
Yabushita, S.: 1969b, Monthly Notices Roy. Astron. Soc. 143, 231.Google Scholar
Yuan, C.: 1969a, Astrophys. J. 158, 871.Google Scholar
Yuan, C.: 1969b, Astrophys. J. 158, 889.Google Scholar
Yuan, C.: 1970a, Basel Symposium, p. 391.Google Scholar
Yuan, C.: 1970b, Astron. J. (Abstract only), in press.Google Scholar
Zwicky, F.: 1957, Morphological Astronomy, Springer-Verlag, Berlin, p. 198.Google Scholar