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Non-stationarity parameters of open clusters

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Abstract

Estimates of a number of dynamical parameters of 103 open star clusters are presented: the density contrast in the cluster core, stellar velocity dispersion, taking into account the influence of the external field of the Galaxy and non-stationarity of the cluster, oscillation periods of the cluster and the cluster core, etc. Analytical solutions to the gross dynamical equations are obtained for simple cluster models. These solutions are used to estimate a number of quantities characterizing the degree of non-stationarity of the cluster, such as the amplitude of oscillations of the cluster virial coefficient and of the radius of the cluster core, etc. Astrophysical applications of these results are discussed.

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References

  1. K. A. Barkhatova, Astron. Zh. 33, 556 (1956).

    Google Scholar 

  2. A. F. Seleznev, Astron. Tsirk. No. 1531, 9 (1988).

  3. P. N. Kholopov, Star Clusters (Nauka, Moscow, 1981) [in Russian].

    Google Scholar 

  4. V. M. Danilov, in Methods of Astronomical and Geodesic Investigations, Ed. by K. A. Barkhatova, Collected Vol. (Ural’sk. Gos. Univ., Sverdlovsk, 1984), p. 94 [in Russian].

    Google Scholar 

  5. V. M. Danilov and A. P. Ryazanov, Astronomical and Geodesic Investigations, Ed. by K. A. Barkhatova, Collected Vol. (Ural’sk. Gos. Univ., Sverdlovsk, 1985), p. 19 [in Russian].

    Google Scholar 

  6. V. M. Danilov and A. F. Seleznev, Astron. Astrophys. Trans. 6, 85 (1994).

    Article  ADS  Google Scholar 

  7. V. M. Danilov and L. V. Dorogavtseva, Astron. Rep. 52, 467 (2008).

    Article  ADS  Google Scholar 

  8. V. M. Danilov, Astron. Rep. 52, 888 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  9. V. M. Danilov, Astron. Rep. 54, 514 (2010).

    Article  ADS  Google Scholar 

  10. V. M. Danilov, Astron. Rep. 55, 473 (2011).

    Article  ADS  Google Scholar 

  11. I. R. King, Astron. J. 67, 471 (1962).

    Article  ADS  Google Scholar 

  12. A. M. Geller, R. D. Mathieu, H. C. Harris, and R. D. McClure, Astrophys. J. 135, 2264 (2008).

    ADS  Google Scholar 

  13. R. de Grijs, S. P. Goodvin, M. B. N. Kouwenhoven, and P. Kroupa, Astron. Astrophys. 492, 685 (2008).

    Article  ADS  Google Scholar 

  14. V. M. Danilov and A. F. Seleznev, in Astronomical and Geodesic Investigations: Structural Features of Galactic Subsystems, Ed. by A. E. Vasilevskii, Collected vol. (Ural’sk. Gos. Univ., Sverdlovsk, 1989), p. 26 [in Russian].

  15. S. Chandrasekhar, Principles of Stellar Dynamics (Univ. Chicago, Chicago, 1942; Inostr. Liter., Moscow, 1948).

    Google Scholar 

  16. G. G. Kuzmin, Tr. Astrofiz. Inst. AN KazSSR (Alma-Ata) 5, 11 (1965).

    MathSciNet  Google Scholar 

  17. S. A. Kutuzov and L. P. Osipkov, Sov. Astron. 24, 17 (1980).

    ADS  MATH  Google Scholar 

  18. L. P. Ossipkov, in Dynamics of Star Clusters and Milky Way, Ed. by S. Deiters, D. Fuchs, A. Just, R. Spurzem, and R. Wielen, ASP Conf. Ser. 228, 341 (2001).

  19. D. Lynden-Bell, Mon. Not. R. Astron. Soc. 136, 101 (1967).

    ADS  Google Scholar 

  20. S. J. Aarseth, Astron. Astrophys. 35, 237 (1974).

    ADS  Google Scholar 

  21. V.M. Danilov, Astron. Rep. 50, 346 (2006).

    Article  ADS  Google Scholar 

  22. V.M. Danilov, Astron. Rep. 49, 604 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  23. V. M. Danilov and L. V. Dorogavtseva, Astron. Rep. 47, 483 (2003).

    Article  ADS  Google Scholar 

  24. V. M. Danilov, Sov. Astron. 32, 374 (1988).

    ADS  Google Scholar 

  25. V. I. Ferronsky, S. A. Denisik, and S. V. Ferronsky, Celest.Mech. 18, 113 (1978).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers (Nauka, Moscow, 1974; McGraw-Hill, New York, 1961).

    Google Scholar 

  27. V. M. Danilov and O. A. Chernova, Astron. Rep. 52, 27 (2008).

    Article  ADS  Google Scholar 

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Correspondence to V. M. Danilov.

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Original Russian Text © V.M. Danilov, S.I. Putkov, 2012, published in Astronomicheskii Zhurnal, 2012, Vol. 89, No. 8, pp. 674–688.

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Danilov, V.M., Putkov, S.I. Non-stationarity parameters of open clusters. Astron. Rep. 56, 609–622 (2012). https://doi.org/10.1134/S106377291208001X

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  • DOI: https://doi.org/10.1134/S106377291208001X

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