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Precollapse Evolution of Globular Clusters

Published online by Cambridge University Press:  04 August 2017

Lyman Spitzer Jr.
Lyman Spitzer Jr.*
Affiliation:
Princeton University Observatory, Princeton, New Jersey 08544 USA

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The dynamical evolution of a cluster in which N, the number of stars, is large, results primarily from encounters between pairs of stars; these tend to modify the system so that it approaches a more probable configuration. In statistical equilibrium, the distribution of stars among states of different energy, Ei, per unit mass would be determined to a first approximation by the probability Pi, where

here gi is the statistical weight of each state, proportional to the amount of phase space available, and B is a constant. Evidently dynamical evolution tends a) towards stellar states which are more tightly bound by their mutual gravitational attraction and have a correspondingly lower Ei, and b) towards the free state, where the volume of available phase space is very large. The only relatively stable state for an isolated cluster is one in which a central, non-evolving massive configuration (a compact object, or tight binary, or a hierarchical multiple system) has all the initial binding energy of the cluster and all other stars have escaped.

Type
Dynamical Evolution of Globular Clusters
Information
Symposium - International Astronomical Union , Volume 113: Dynamic of Stars Clusters , 1985 , pp. 109 - 137
Copyright
Copyright © Reidel 1985 

References

Aarseth, S. J. and Heggie, D. C. 1976, Astron. and Astroph., 53, 259.Google Scholar
Aarseth, S. J. and Lecar, M. 1975, Ann. Rev. Astron. and Astroph., 13, 1.CrossRefGoogle Scholar
Agekyan, T. A. and Anosova, Zh. P. 1971, Soviet Astron. AJ., 15, 411.Google Scholar
Alexander, M. E. and Budding, E. 1979, Astron. and Astroph., 73, 227.Google Scholar
Angeletti, L. and Giannone, P. 1977, Astroph. and Space Sci., 50, 311.Google Scholar
Angeletti, L., Dolcetta, R. and Giannone, P. 1980, Astroph. and Space Sci., 69, 45.CrossRefGoogle Scholar
Antonov, V. A. 1962, Vestnik Leningrad Univ. (Series Math. Mech. and Astron.), 7, 135; English translation reprinted at end of this volume.Google Scholar
Bettwieser, E. and Sugimoto, D. 1984, Monthly Notices, Roy Astron. Soc., 208, 493.Google Scholar
Cohn, H. 1979, Ap. J., 234, 1036.Google Scholar
Cohn, H. 1980, Ap. J., 242, 765.Google Scholar
Duncan, M. J. and Shapiro, S. L. 1982, Ap. J., 253, 921.CrossRefGoogle Scholar
Fabian, A. C., Pringle, J. E. and Rees, M. J. 1975, Monthly Notices, Roy. Astron. Soc., 172 15P.Google Scholar
Fall, S. M. and Rees, M. J. 1977, Monthly Notices, Roy. Astron. Soc., 181 37P.Google Scholar
Goodman, J. 1983, Ap. J., 270, 700.Google Scholar
Gurevich, L. E. and Levin, B. Ya. 1950a, Doklady Akad. Nauk. USSR, 70, 781.Google Scholar
Gurevich, L. E. and Levin, B. Ya. 1950b, Astron. Zh. (USSR), 27, 273; NASA translation TT F-11, 541, 1968.Google Scholar
Hachisu, I. and Sugimoto, D. 1978, Prog. Theor. Physics, 60, 123.CrossRefGoogle Scholar
Hachisu, I., Nakada, Y., Nomoto, K. and Sugimoto, D. 1978, Prog. Theor. Physics, 60, 393.Google Scholar
Heggie, D. C. 1975, Monthly Notices, Roy. Astron. Soc., 173, 729.CrossRefGoogle Scholar
Hénon, M. 1960, Ann. d'Ap., 23, 668.Google Scholar
Hénon, M. 1961, Ann. d'Ap., 24, 369.Google Scholar
Hénon, M. 1971a, Astroph. and Space Sci., 13, 284.Google Scholar
Hénon, M. 1971b, Astroph. and Space Sci., 14, 151.Google Scholar
Hills, J. G. 1975a, A. J., 80, 809.CrossRefGoogle Scholar
Hills, J. G. 1975b, A. J., 80, 1075.Google Scholar
Hills, J. G. and Fullerton, L. W. 1980, A. J., 85, 1281.CrossRefGoogle Scholar
Hoffer, J. B. 1983, A. J., 88, 1420.CrossRefGoogle Scholar
Horwitz, G. and Katz, J. 1978, Ap. J., 222, 941.CrossRefGoogle Scholar
Hut, P. 1983, Ap. J. (Lett.), 272, L29.CrossRefGoogle Scholar
Illingworth, G. and King, I. R. 1977, Ap. J. (Lett.), 218, L109.Google Scholar
Inagaki, S. 1980, Publ. Astr. Soc. Japan, 32, 213.Google Scholar
Inagaki, S. 1984, Monthly Notices. Roy. Astron. Soc., 206, 149.Google Scholar
Inagaki, S. and Wiyanto, P. 1984, Publ. Astr. Soc. Japan, in press.Google Scholar
Ipser, J. R. and Kandrup, H. E., 1980, Ap. J., 241, 1141.Google Scholar
Jeans, J. H. 1929, Astronomy and Cosmogony, (Cambridge Univ. Press), 2nd edition, Chapt. VII.Google Scholar
Katz, J. 1978, Monthly Notices, Roy. Astron. Soc., 183, 765.CrossRefGoogle Scholar
Katz, J. 1980, Monthly Notices, Roy. Astron. Soc., 190, 497.Google Scholar
Katz, J. and Taff, L. G. 1983, Ap. J., 264, 476.CrossRefGoogle Scholar
King, I. R. 1958, A. J., 63, 114.Google Scholar
King, I. R. 1966, A. J., 71, 64.Google Scholar
Kondrat'ev, B. P. and Ozernoy, L. M. 1982, Astroph. and Space Sci., 84, 431.Google Scholar
Krolik, J. H. 1984, Ap. J., 282, 452.Google Scholar
Krolik, J. H., Meiksin, A. and Joss, P. C. 1984, Ap. J., 282, 466.Google Scholar
Larson, R. B. 1970, Monthly Notices, Roy. Astron. Soc., 150, 93.Google Scholar
Larson, R. B. 1984, Monthly Notices, Roy. Astron. Soc., in press.Google Scholar
Lightman, A. P. 1977, Ap. J., 215, 914.Google Scholar
Lightman, A. P. and Fall, S. M. 1978, Ap. J., 221, 567.Google Scholar
Lightman, A. P. and Grindlay, J. E. 1982, Ap. J., 262, 145.Google Scholar
Lightman, A. P. and Shapiro, S. L. 1978, Rev. Mod. Phys., 50, 437.Google Scholar
Lynden-Bell, D. and Eggleton, P. P. 1980, Monthly Notices, Roy. Astron. Soc., 191, 483.Google Scholar
Lynden-Bell, D. and Wood, R. 1968, Monthly Notices, Roy. Astron. Soc., 138, 495.CrossRefGoogle Scholar
Marchant, A. B. and Shapiro, S. L. 1980, Ap. J., 239, 685.Google Scholar
McMillan, S. L. W. and Lightman, A. P. 1984a, Ap. J., 283, in press.Google Scholar
McMillan, S. L. W. and Lightman, A. P. 1984b, Ap. J., 283, in press.CrossRefGoogle Scholar
Merritt, D. 1981, A. J., 86, 318.CrossRefGoogle Scholar
Mikkola, S. 1983a, Monthly Notices, Roy. Astron. Soc., 203, 1107.CrossRefGoogle Scholar
Mikkola, S. 1983b, Monthly Notices, Roy. Astron. Soc., 205, 733.Google Scholar
Mikkola, S. 1984, Monthly Notices, Roy. Astron. Soc., 207, 115.Google Scholar
Nakada, Y. 1978, Publ. Astr. Soc. Japan, 30, 57.Google Scholar
Ozernoy, L. M. and Dokuchaev, V. I. 1982, Astron. and Astroph., 111, 1.Google Scholar
Press, W. H. and Teukolsky, S. A. 1977, Ap. J., 213, 183.Google Scholar
Retterer, J. M. 1979, A. J., 84, 370.CrossRefGoogle Scholar
Saito, M. and Yoshizawa, M. 1976, Astroph. and Space Sci., 41, 63.CrossRefGoogle Scholar
Spitzer, L. 1969, Ap. J. (Lett.), 158, L139.Google Scholar
Spitzer, L. 1975, Dynamics of Stellar Systems, IAU Symp. No. 69, Ed: Hayli, A. (Reidel: Dordrecht), p. 3.Google Scholar
Spitzer, L. and Hart, M. H. 1971a, Ap. J., 164, 399.Google Scholar
Spitzer, L. and Hart, M. H. 1971b, Ap. J., 166, 483.CrossRefGoogle Scholar
Spitzer, L. and Mathieu, R. D. 1980, Ap. J., 241, 618.Google Scholar
Spitzer, L. and Shull, J. M. 1975, Ap. J., 201, 773.Google Scholar
Spitzer, L. and Thuan, T. X. 1972, Ap. J., 175, 31.Google Scholar
Stodółkiewicz, J. W. 1983, Publ. Astron. Inst. Czechoslovak Acad. Sci., 56, 103.Google Scholar
Trimble, V. L. 1980, Star Clusters, IAU Symp. No. 85, Ed: Hesser, J. (Reidel: Dordrecht), p. 259.Google Scholar
Vishniac, E. T. 1978, Ap. J., 223, 986.Google Scholar
Wilson, C. P. 1975, Dynamics of Stellar Systems, IAU Symp. No. 69, Ed: Hayli, A. (Reidel: Dordrecht), p. 207.Google Scholar
Yoshizawa, M., Inagaki, S., Nishida, M. T., Kato, S., Tanaka, Y. and Watanabe, Y. 1978, Publ. Astr. Soc. Japan, 30, 279.Google Scholar