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The System of Open Star Clusters Revisited

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Modeling, Machine Learning and Astronomy (MMLA 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1290))

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Abstract

The system of open clusters is an excellent probe of the structure and evolution of the galactic disk. Their spatial, size, age and mass distributions provide valuable information on the cluster formation process. Present day astronomy is rich in data, and hence in this work, we attempt to build up a comprehensive statistical study of star clusters. This study is based on available catalogues, both homogeneous and inhomogeneous, to provide some useful insights on the evolutionary history of the system of open clusters and consequently, the galaxy. We find that the optimum size of a cluster for its survival is 3–4 pc. We also find that there exists a simple linear relationship between the age and the mean linear diameters of clusters and also with normalised reddening. Using the catalogues based on Gaia DR2 and other catalogs, we find, that the system of open clusters provides valuable clues to our understanding of the evolution of the galaxy. This system can be partitioned by k-means to get clusters in a statistical sense, which indicates possible cluster formation in the galaxy at different galactocentric distances and with different parameters. These suggests a combination of the scenarios of overall halo collapse and accretion to explain the formation of the disk of the galaxy. This method is proposed to be used for the study of external galaxies using catalogues of extragalactic clusters as it works well with the clusters of the Milky Way.

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Notes

  1. 1.

    \(p \le 0.05\) implies a confidence level larger than 95 %.

  2. 2.

    clusters in italics refers to clusters in the statistical sense and not physical star clusters.

References

  1. Allen, C.W.: Astrophysical Quantities, 3rd edn. Athlone, London (1976)

    Google Scholar 

  2. Bell, E.F., et al.: The accretion origin of the Milky Way’s stellar halo. 680, 295–311 (2008). https://doi.org/10.1086/588032

  3. Bonatto, C., Bica, E.: Detailed analysis of open clusters: a mass function break and evidence of a fundamental plane. 437, 483–500 (2005). https://doi.org/10.1051/0004-6361:20042516

  4. Cantat-Gaudin, T., et al.: A Gaia DR2 view of the open cluster population in the Milky Way. 618, A93 (2018). https://doi.org/10.1051/0004-6361/201833476

  5. Dias, W.S., Alessi, B.S., Moitinho, A., Lépine, J.R.D.: New catalogue of optically visible open clusters and candidates. 389, 871–873 (2002). https://doi.org/10.1051/0004-6361:20020668

  6. Friel, E.D.: The old open clusters of the Milky Way. 33, 381–414 (1995). https://doi.org/10.1146/annurev.aa.33.090195.002121

  7. Gaia Collaboration, et al.: The Gaia mission. 595, A1 (2016). https://doi.org/10.1051/0004-6361/201629272

  8. Hasan, P.: Gaia. Resonance 24(4), 433–444 (2019). https://doi.org/10.1007/s12045-019-0796-2

  9. Janes, K.A., Phelps, R.L.: The galactic system of old star clusters: the development of the galactic disk. 108, 1773–1785 (1994). https://doi.org/10.1086/117192

  10. Janes, K.A., Tilley, C., Lynga, G.: Properties of the open cluster system. 95, 771–784 (1988). https://doi.org/10.1086/114676

  11. Joshi, Y.C.: Interstellar extinction towards open clusters and Galactic structure. 362, 1259–1266 (2005). https://doi.org/10.1111/j.1365-2966.2005.09391.x

  12. Kharchenko, N.V., Piskunov, A.E.: The population of open clusters of the Galactic disc. Astron. Astrophys. Trans. 25, 177–183 (2006). https://doi.org/10.1080/10556790600916863

    Article  Google Scholar 

  13. Kharchenko, N.V., Piskunov, A.E., Röser, S., Schilbach, E., Scholz, R.D.: Astrophysical parameters of Galactic open clusters. 438, 1163–1173 (2005). https://doi.org/10.1051/0004-6361:20042523

  14. Kharchenko, N.V., Piskunov, A.E., Schilbach, E., Röser, S., Scholz, R.D.: Global survey of star clusters in the Milky Way. II. The catalogue of basic parameters. 558, A53 (2013). https://doi.org/10.1051/0004-6361/201322302

  15. Loktin, A.V., Gerasimenko, T.P., Malysheva, L.K.: The catalogue of open cluster parameters-second version. Astron. Astrophys. Trans. 20, 607–633 (2001). https://doi.org/10.1080/10556790108221134

    Article  Google Scholar 

  16. Lynga, G.: Open clusters in our Galaxy. Astron. Astrophys. 109, 213–222 (1982)

    Google Scholar 

  17. MacQueen, J.: Some methods for classification and analysis of multivariate observations. In: Le Cam, L.M., Neyman, J. (eds.) Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Berkeley, Califonia. University of California Press, vol. 1, pp. 281–297 (1967)

    Google Scholar 

  18. Majewski, S.R.: Galactic structure surveys and the evolution of the Milky Way. 31, 575–638 (1993). https://doi.org/10.1146/annurev.aa.31.090193.003043

  19. Mermilliod, J.C.: The database for galactic open clusters (BDA). In: Egret, D., Albrecht, M.A. (eds.) On-Line Data in Astronomy, pp. 127\(-\)+ (1995). ISBN 0-7923-3659-3. Astrophysics and Space Science Library, Vol. 203, p. 127 (Sep 1995)

    Google Scholar 

  20. Paunzen, E., Netopil, M.: On the current status of open-cluster parameters. 371, 1641–1647 (2006). https://doi.org/10.1111/j.1365-2966.2006.10783.x

  21. Piatti, A.E., Clariá, J.J.: The apparent overdensity of open clusters in the Canis Major overdensity. 390, L54–L58 (2008). https://doi.org/10.1111/j.1745-3933.2008.00536.x

  22. R Core Team: R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria (2013). http://www.R-project.org/

  23. Spitzer, L.J.: Distribution of galactic clusters. 127, 17\(-\)+ (1958). https://doi.org/10.1086/146435

  24. Tadross, A.L.: Morphological analysis of open clusters’ propertiesI. Properties’ estimations. New Astron. 6, 293–306 (2001). https://doi.org/10.1016/S1384-1076(01)00061-6

    Article  Google Scholar 

  25. van den Bergh, S.: Diameters of open star clusters. 131, 1559–1564 (2006). https://doi.org/10.1086/499532

  26. van den Bergh, S., McClure, R.D.: Galactic distribution of the oldest open clusters. 88, 360–362 (1980)

    Google Scholar 

  27. Wielen, R.: The age distribution and total lifetimes of galactic clusters. 13, 309–322 (1971)

    Google Scholar 

  28. Wielen, R.: The diffusion of stellar orbits derived from the observed age-dependence of the velocity dispersion. Astron. Astrophys. 60, 263–275 (1977)

    Google Scholar 

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Acknowledgements

The authors also thank Hargopal Vajjha and C R Rao for comments and suggestions in statistics. Virtual observatory tools like VOSTAT and Topcoat have been used in the analysis.

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Correspondence to Priya Hasan .

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Hasan, P., Hasan, S.N. (2020). The System of Open Star Clusters Revisited. In: Saha, S., Nagaraj, N., Tripathi, S. (eds) Modeling, Machine Learning and Astronomy. MMLA 2019. Communications in Computer and Information Science, vol 1290. Springer, Singapore. https://doi.org/10.1007/978-981-33-6463-9_11

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  • DOI: https://doi.org/10.1007/978-981-33-6463-9_11

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