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Statistics of Small-N Simulations

Published online by Cambridge University Press:  25 May 2016

Douglas C. Heggie
Douglas C. Heggie*
Affiliation:
Department of Mathematics and Statistics, University of Edinburgh, King's Buildings, Edinburgh EH9 3JZ, UK

Abstract

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We first review the reasons for carrying out statistical analysis of results from large numbers of N-body simulations, including a summary of previous work. Then we describe some results about the behaviour of N-body systems which have been acquired by this technique. Finally we concentrate on the problems associated with the scaling of N-body data with N, with particular regard to the dissolution of systems in a tidal field when mass is lost by stellar evolution.

Type
Stellar Dynamics, Models
Information
Symposium - International Astronomical Union , Volume 174: Dynamical Evolution of Stars Clusters , 1996 , pp. 131 - 140
Copyright
Copyright © Kluwer 1996 

References

Aarseth, S.J., Hénon, M., Wielen, R., 1974, A&A, 37, 183 Google Scholar
Aarseth, S.J., Lecar, M., 1975, ARAA, 13, 1 Google Scholar
Agekyan, T.A., Baranov, A.S., 1969, Astrophys., 5, 144 (Astrofiz., 5, 305) Google Scholar
Casertano, S., 1985, in Goodman, J., Hut, P., eds, Dynamics of Star Clusters, IAU Symp 113. Reidel, Dordrecht, p. 305 CrossRefGoogle Scholar
Chernoff, D.F., Weinberg, M.D., 1990, ApJ, 351, 121 CrossRefGoogle Scholar
Ebisuzaki, T., Makino, J., Fukushige, T., Taiji, M., Sugimoto, D., Ito, T., Okumura, S.K., 1993, PASJ, 45, 269 Google Scholar
Fukushige, T., Heggie, D.C., 1995, MNRAS, 276, 206 Google Scholar
Giersz, M., Heggie, D.C., 1993, in Smith, G.H., Brodie, J.P., eds, The Globular Cluster-Galaxy Connection, ASP Conf. Ser. 48. ASP, San Francisco, p.713.Google Scholar
Giersz, M., Heggie, D.C., 1994a, MNRAS, 268, 257 (Paper I) CrossRefGoogle Scholar
Giersz, M., Heggie, D.C., 1994b, MNRAS, 270, 298 (Paper II) Google Scholar
Giersz, M., Heggie, D.C., 1995a, MNRAS, submitted (astro-ph/9506143, Paper III) Google Scholar
Giersz, M., Heggie, D.C., 1995b,c, in preparation (Papers IV, V) Google Scholar
Giersz, M., Spurzem, R., 1994, MNRAS, 269, 241 CrossRefGoogle Scholar
Goodman, J., 1984, ApJ, 280, 298 CrossRefGoogle Scholar
Goodman, J., 1987, ApJ, 313, 576 Google Scholar
Goodman, J., Heggie, D.C., Hut, P., 1993, ApJ, 415, 715 Google Scholar
Gurzadyan, V.G., Savvidy, G.K., 1986, A&A, 160, 203 Google Scholar
Hayes, W., 1995, , Google Scholar
Hayli, A., 1970, A&A, 7, 249 Google Scholar
Heggie, D.C., 1991, in Roy, A.E., ed, Predictability, Stability and Chaos in N-body Dynamical Systems. Plenum, New York, p.47 Google Scholar
Heggie, D.C., Mathieu, R.D., 1986, in Hut, P., McMillan, S.L.W., eds, The Use of Supercomputers in Stellar Dynamics. Springer-Verlag, Berlin, p.233 Google Scholar
Heggie, D.C., Stevenson, D., 1988, MNRAS, 230, 223 CrossRefGoogle Scholar
Hénon, M., 1961, Ann. d'Astrophys., 24, 369 Google Scholar
Hénon, M., 1965, Ann. d'Astrophys., 28, 62 Google Scholar
Inagaki, S., Lynden-Bell, D., 1983, MNRAS, 205, 913 Google Scholar
Kandrup, H.E., Smith, H. Jr., 1991, ApJ. 374, 255 Google Scholar
Kandrup, H.E., Smith, H. Jr., 1992a, ApJ, 386, 635 CrossRefGoogle Scholar
Kandrup, H.E., Smith, H. Jr., 1992b, ApJ, 399, 627 Google Scholar
Kroupa, P., 1995, MNRAS, in press Google Scholar
Lecar, M., 1968, Bull. Astron., 3, 91 Google Scholar
Louis, P.D., 1990, MNRAS, 244, 478 Google Scholar
Lynden-Bell, D., Eggleton, P.P., 1980, MNRAS, 191, 483 Google Scholar
McMillan, S.L.W., 1993, in Djorgovski, S.G., Meylan, G., eds, Structure and Dynamics of Globular Clusters, ASP Conf. Ser. 50. ASP, San Francisco, p.171 Google Scholar
McMillan, S.L.W., Casertano, S., Hut, P., 1988, in Valtonen, M.J., ed, The Few Body Problem, IAU Coll 96. Kluwer, Dordrecht, p.313 CrossRefGoogle Scholar
McMillan, S., Hut, P., Makino, J., 1990, ApJ, 362, 522 CrossRefGoogle Scholar
Miller, R.H., 1964, ApJ, 140, 250 CrossRefGoogle Scholar
Miller, R.H., 1971, J. Comp. Phys., 8, 449 Google Scholar
Miller, R.H., 1975, in Hayli, A., ed, Dynamics of Stellar Systems, IAU Symp 69. Reidel, Dordrecht, p.65 Google Scholar
Quinlan, G.D., Tremaine, S., 1992, MNRAS, 259, 505 CrossRefGoogle Scholar
Smith, H. Jr., 1977, A&A, 61, 305 Google Scholar
Smith, H. Jr., 1979, A&A, 76, 192 Google Scholar
Smith, H. Jr., 1985, ApJ, 288, 117 Google Scholar
Smith, H. Jr., 1992, ApJ, 398, 519 Google Scholar
Spitzer, L. Jr., 1987, Dynamical Evolution of Globular Clusters. Princeton UP, Princeton.Google Scholar
Spurzem, R., Takahashi, K., 1995, MNRAS, 272, 772 Google Scholar
Takahashi, K., 1993, PASJ, 45, 789 Google Scholar
Takahashi, K., Inagaki, S., 1992, PASJ, 44, 623 Google Scholar
Weinberg, M.D., 1993, in Smith, G.H., Brodie, J.P., eds, The Globular Cluster-Galaxy Connection, ASP Conf. Ser. 48. ASP, San Francisco, p.689.Google Scholar