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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 12, p. 1057-1064
https://doi.org/10.15407/ujpe62.12.1057    Paper

Tadjibaev I.U., Nuritdinov S.N., Muminov A.A.

National University of Uzbekistan
(2, Universitetskaya Str., Tashkent, Uzbekistan; e-mail: tadj_ikram@mail.ru, nur200848@mail.ru, maa201609@gmail.com)

Non-Linear Cosmology of Globular Cluster Systems around Galaxies

Section: Astrophysics and Cosmology
Original Author's Text: Russian

Abstract: The formation of systems of globular star clusters around galaxies has been studied in the framework of a nonlinear-nonstationary model of collapsing galaxies. Instabilities of the model with respect to four perturbation modes are analyzed, with the mode order determining the average number of clusters in the system. Critical diagrams for the dependence of the initial value of the virial ratio on the rotation degree of collapsing model are plotted. The instability growth rates are calculated, and the obtained instability parameters are compared.

Key words:  systems of globular star clusters. gravitational instabilities, pulsation model of self-gravitating system, cosmology of globular clusters.


  1. K. Ashman, S. Zepf. Globular Cluster Systems (Cambridge Univ. Press, 1998).
  2. K. Gebhardt, M. Kissler-Pating. Globular cluster systems. I. V-I color distributions. Astron. J. 118, 1526 (1999).
  3. W.E. Harris, G.L. Harris, A. Matthew. A catalog of globular cluster systems: What determines the size of a galaxy's globular cluster population? Astrophys. J. 772, 82 (2013).
  4. W.E. Harris, W. Morningstar et al. Globular cluster systems in brightest cluster galaxies: A near-universal luminosity function? Astrophys. J. 797, 128 (2014).
  5. S.N. Nuritdinov, I.U. Tadjibaev. Globular star cluster systems around galaxies. I. Search for statistical relationships. Astrophys. 57, 59 (2014) (in Russian).
  6. I.U. Tadjibaev, S.N. Nuritdinov, J.M. Ganiev. Globular star cluster systems around galaxies. II. Spiral and dwarf galaxies. Astrophys. 58, 181 (2015) (in Russian).
  7. W.E. Harris. Where are most of the globular clusters in today's universe? Astron. J. 151, 102 (2016).
  8. Ya.B. Zel'dovich, I.D. Novikov. The Structure and Evolution of the Universe (Univ. of Chicago Press, 1983).
  9. P.J.E. Peebles, R.H. Dicke. Origin of the globular star clusters. Astrophys. J. 154, 891 (1968).
  10. K.M. Ashman, S.E. Zepf. The formation of globular clusters in merging and interacting galaxies. Astrophys. J. 384, 50 (1992).
  11. S.M. Fall, M.J. Rees. A theory for origin of globular clusters. Astrophys. J. 298, 18 (1985).
  12. A. Forbes, J.P. Brodie, C.J. Grillmair. On the origin of globular cluster systems in elliptical and cD galaxies. Astron. J. 113, 1652 (1997).
  13. Ch. Theis. How to form (twin) globular clusters? ASP Conf. Ser. 228, 347 (2001).
  14. W.E. Harris. Globular clusters and galaxy mergers. Astrophys. J. 251, 497 (1981).
  15. F. Schweizer. Star formation in colliding and merging galaxies. In: Nearly Normal Galaxies, edited by S.M. Faber (Springer, 1987), p. 18–25.
  16. F. Schweizer. The nature of elliptical galaxies. ASP Conf. Ser. 116, 447 (1997).
  17. J.P. Brodie, L.L. Schrodes et al. Keck spectroscopy of candidate 97 proto-globular clusters in NGC 1275. Astron. J. 116, 691 (1998).
  18. S.N. Nuritdinov, Zh.R. Orazimbetov, I.U. Tadjibaev. To the problem of formation of globular clusters system. In: Variable Stars: A Key to Understand the Galaxy Structure and Evolution (Nijniy Arxyz, 2000), p. 197 (in Russian).
  19. J. Binney, S. Tremaine. Galactic Dynamics (Princeton Univ. Press, 2008).
  20. V.A. Antonov, S.N. Nuritdinov. Instability of a nonlinearly pulsating model stellar system. I – an Einstein sphere. Astron. Zh. 58, 1158 (1981) (in Russian).
  21. S.N. Nuritdinov. Instability of a nonlinearly pulsating model stellar system. II. Astron. Zh. 60, 40 (1983) (in Russian).
  22. S.N. Nuritdinov. Early Evolution of Galaxies: Nonlinear Models and Instabilities (Tashkent Univ., 2003) (in Russian).
  23. C.L. Camm. Self-gravitating star systems. II. Mon. Not. R. Astron. Soc. 112, 115 (1952).
  24. S.N. Nuritdinov. Instability of a nonlinearly pulsating model of a stellar system – Volume perturbations: Camm's model. Astron. Zh. 68 (4), 763 (1991) (in Russian).
  25. S.N. Nuritdinov. A new series of non-stationary models of the galactic subsystems: The rotation case. Astron. Tsirk. BAS AN 1553, 9 (1992) (in Russian).
  26. V.L. Polyachenko, A.M. Fridman. Equilibrium and Stability of Gravitating Systems (Nauka, 1976) (in Russian).
  27. I.G. Malkin. Theory of Stability of Motion (Nauka, 1966).