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Modelling Individual Globular Clusters

Published online by Cambridge University Press:  01 September 2007

Douglas C. Heggie
Affiliation:
School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh, EH9 3JZ, UK email: d.c.heggie@ed.ac.uk
Mirek Giersz
Affiliation:
Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences, Warsaw, Poland email: mig@camk.edu.pl
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Abstract

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Astronomers have constructed models of globular clusters for over 100 years. These models mainly fall into two categories: (i) static models, such as King's model and its variants, and (ii) evolutionary models. Most attention has been given to static models, which are used to estimate mass-to-light ratios and mass segregation, and to combine data from proper motions and radial velocities. Evolutionary models have been developed for a few objects using the gaseous model, the Fokker-Planck model, Monte Carlo models and N-body models. These models have had a significant role in the search for massive black holes in globular clusters, for example.

In this presentation the problems associated with these various techniques will be summarised, and then we shall describe new work with Giersz's Monte Carlo code, which has been enhanced recently to include the stellar evolution of single and binary stars. We describe in particular recent attempts to model the nearby globular cluster M4, including predictions on the spatial distribution of binary stars and their semi-major axis distribution, to illustrate the effects of about 12 Gyr of dynamical evolution. We also discuss work on an approximate way of predicting the “initial” conditions for such modelling.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2008

References

Angeletti, L., Dolcetta, R., & Giannone, P. 1980, Astrophys. Sp. Sci., 69, 45CrossRefGoogle Scholar
Baumgardt, H. 2001, MNRAS, 325, 1323CrossRefGoogle Scholar
Baumgardt, H., Hut, P., Makino, J., McMillan, S., & Portegies Zwart, S. 2003, ApJL, 582, L21CrossRefGoogle Scholar
Baumgardt, H. & Makino, J. 2003, MNRAS, 340, 227CrossRefGoogle Scholar
Dinescu, D. I., Girard, T. M., & van Altena, W. F. 1999, AJ, 117, 1792CrossRefGoogle Scholar
Drukier, G. A. 1993, MNRAS, 265, 773CrossRefGoogle Scholar
Drukier, G. A. 1995, ApJS, 100, 347CrossRefGoogle Scholar
Drukier, G. A., Fahlman, G. G., Richer, H. B., & Vandenberg, D. A. 1988, AJ, 95, 1415CrossRefGoogle Scholar
Dubath, P., Meylan, G., Mayor, M., & Magain, P. 1990, A&A, 239, 142Google Scholar
Dull, J. D., Cohn, H. N., Lugger, P. M., Murphy, B. W., Seitzer, P. O., Callanan, P. J., Rutten, R. G. M., & Charles, P. A. 1997, ApJ, 481, 267CrossRefGoogle Scholar
Fleck, J.-J., Boily, C. M., Lançon, A., & Deiters, S. 2006, MNRAS, 369, 1392CrossRefGoogle Scholar
Fregeau, J. M. & Rasio, F. A. 2007, ApJ, 658, 1047CrossRefGoogle Scholar
Gebhardt, K., & Fischer, P. 1995, AJ, 109, 209CrossRefGoogle Scholar
Giersz, M. 1998, MNRAS, 298, 1239CrossRefGoogle Scholar
Giersz, M. 2001, MNRAS, 324, 218CrossRefGoogle Scholar
Giersz, M. 2006, MNRAS, 371, 484CrossRefGoogle Scholar
Giersz, M. & Heggie, D. C. 2003, MNRAS, 339, 486CrossRefGoogle Scholar
Giersz, M. & Spurzem, R. 2003, MNRAS, 343, 781CrossRefGoogle Scholar
Grabhorn, R. P. 1993, Ph.D. Thesis, Indiana UniversityGoogle Scholar
Grabhorn, R. P., Cohn, H. N., Lugger, P. M., & Murphy, B. W. 1992, ApJ, 392, 86CrossRefGoogle Scholar
Gunn, J. E. & Griffin, R. F. 1979, AJ, 84, 752CrossRefGoogle Scholar
Hansen, B. M. S., et al. 2002, ApJL, 574, L155CrossRefGoogle Scholar
Hansen, B. M. S., et al. 2004, ApJS, 155, 551CrossRefGoogle Scholar
Harris, W. E. 1996, AJ, 112, 1487CrossRefGoogle Scholar
Heggie, D. C., Portegies Zwart, S., & Hurley, J. R. 2006, New Astronomy, 12, 20CrossRefGoogle Scholar
Hurley, J. R., Pols, O. R., & Tout, C. A. 2000, MNRAS, 315, 543CrossRefGoogle Scholar
Hurley, J. R., Tout, C. A., & Pols, O. R. 2002, MNRAS, 329, 897CrossRefGoogle Scholar
Hurley, J. R., Pols, O. R., Aarseth, S. J., & Tout, C. A. 2005, MNRAS, 363, 293CrossRefGoogle Scholar
Hurley, J. R. 2007, MNRAS, 379, 93CrossRefGoogle Scholar
Hut, P. & Inagaki, S. 1985, ApJ, 298, 502CrossRefGoogle Scholar
Illingworth, G. 1976, ApJ, 204, 73CrossRefGoogle Scholar
Kim, E., Lee, H. M., & Spurzem, R. 2004, MNRAS, 351, 220CrossRefGoogle Scholar
King, I. R. 1966, AJ, 71, 64CrossRefGoogle Scholar
Kroupa, P. 1995, MNRAS, 277, 1507CrossRefGoogle Scholar
Kroupa, P. 2007, ArXiv Astrophysics e-prints, arXiv:astro-ph/0703124Google Scholar
Kroupa, P., Gilmore, G., & Tout, C. A. 1991, MNRAS, 251, 293CrossRefGoogle Scholar
Kroupa, P., Aarseth, S., & Hurley, J. 2001, MNRAS, 321, 699CrossRefGoogle Scholar
Kundic, T. & Ostriker, J. P. 1995, ApJ, 438, 702CrossRefGoogle Scholar
Lamers, H. J. G. L. M., Gieles, M., Bastian, N., Baumgardt, H., Kharchenko, N. V., & Portegies Zwart, S. 2005, A&A, 441, 117Google Scholar
Leonard, P. J. T., Richer, H. B., & Fahlman, G. G. 1992, AJ, 104, 2104CrossRefGoogle Scholar
Michie, R. W. & Bodenheimer, P. H. 1963, MNRAS, 126, 269CrossRefGoogle Scholar
Mikkola, S. 1983, MNRAS, 205, 733CrossRefGoogle Scholar
Mikkola, S. 1984a, MNRAS, 207, 115CrossRefGoogle Scholar
Mikkola, S. 1984b, MNRAS, 208, 75CrossRefGoogle Scholar
Peterson, C. J. & King, I. R. 1975, AJ, 80, 427CrossRefGoogle Scholar
Peterson, R. C., Rees, R. F., & Cudworth, K. M. 1995, ApJ, 443, 124CrossRefGoogle Scholar
Phinney, E. S. 1993, in Djorgovski, S. G., Meylan, G., eds, Structure and Dynamics of Globular Clusters, ASPCS 50, 141Google Scholar
Plummer, H. C. 1911, MNRAS, 71, 460CrossRefGoogle Scholar
Portegies Zwart, S. F., & Verbunt, F. 1996, A&A, 309, 179Google Scholar
Pryor, C., Hartwick, F. D. A., McClure, R. D., Fletcher, J. M., & Kormendy, J. 1986, AJ, 91, 546CrossRefGoogle Scholar
Richer, H. B., et al. 2004, AJ, 127, 2771CrossRefGoogle Scholar
Spitzer, L. 1987, Dynamical Evolution of Globular Clusters, Princeton, NJ, Princeton University Press, 1987Google Scholar
Thorsett, S. E., Arzoumanian, Z., & Taylor, J. H. 1993, ApJL, 412, L33CrossRefGoogle Scholar
Trager, S. C., Djorgovski, S., & King, I. R. 1993, in Djorgovski, S.G., Meylan, G., eds, Structure and Dynamics of Globular Clusters, ASPCS 50, 347Google Scholar
Trager, S. C., King, I. R., & Djorgovski, S. 1995, AJ, 109, 218CrossRefGoogle Scholar
van de Ven, G., van den Bosch, R. C. E., Verolme, E. K., & de Zeeuw, P. T. 2006, A&A, 445, 513Google Scholar
van den Bosch, R., de Zeeuw, T., Gebhardt, K., Noyola, E., & van de Ven, G. 2006, ApJ, 641, 852CrossRefGoogle Scholar
Von Zeipel, H. 1908, Annales de l'Observatoire de Paris, 25, 1Google Scholar