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A Model of the Dynamics of Open Clusters: Time-Scales, Core Collapse and Blue Stragglers

This work presents a mathematical model of dynamic of open clusters (OC) from which their time scales are deduced as well as the number of blue stragglers (BS) present in the cluster. The model is based on the expansion of mass through a sphere defined by a radius, and at a time; this variation of mass is translated into a differential equation that it can be integrated for a given radius (r) and a determined time (t). The solution of this equation drives to derive the different time scales what allows us to reach conclusions like: clusters not containing BS stars dilute younger than those clusters containing BS. In clusters containing BS stars, the volume which takes up half of the cluster mass is bigger than the one corresponding to clusters without BS stars but the time to catch it up is shorter. It is also studied within this work, the core collapse of stars of the cluster and the region where this concentration is stopped/retained; this region is identified by means of the relation c/ch, being c=log (rt/rc) and ch=log (rc/rh). Where rt and rc are the tidal and the core radius respectively, and rh is the radius where half of the cluster mass is concentrated. The model also drove to the conclusion that the number of the blue straggler stars in a cluster follows a distribution function whose components are the ratio between relaxation time and the age, ratio labeled as ƒ, and a factor, named ϖ, which is an indicator of the origin of the BS; ϖ increases as the number of BS increase but it is limited to ~5. This istribution function is expressed as . The validity of this function was carried out by means of matching the number of observed BS stars to the number of predicted ones in the available sample of OCs.

Open Clusters and Associations: General, Cluster Kinematics and Dynamics, Blue Stragglers

APA Style

Félix Llorente de Andrés, Carmen Morales Durán. (2022). A Model of the Dynamics of Open Clusters: Time-Scales, Core Collapse and Blue Stragglers. American Journal of Astronomy and Astrophysics, 9(4), 52-66. https://doi.org/10.11648/j.ajaa.20210904.12

ACS Style

Félix Llorente de Andrés; Carmen Morales Durán. A Model of the Dynamics of Open Clusters: Time-Scales, Core Collapse and Blue Stragglers. Am. J. Astron. Astrophys. 2022, 9(4), 52-66. doi: 10.11648/j.ajaa.20210904.12

AMA Style

Félix Llorente de Andrés, Carmen Morales Durán. A Model of the Dynamics of Open Clusters: Time-Scales, Core Collapse and Blue Stragglers. Am J Astron Astrophys. 2022;9(4):52-66. doi: 10.11648/j.ajaa.20210904.12

Copyright © 2021 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

1. Shu, F. H., Adams, F. C., and Lizano, S. 1987, Annual review of astronomy and astrophysics. Volume 25 (A88-13240 03-90). Palo Alto, CA, Annual Reviews, Inc., 1987, p. 23-81. NASA-sponsored research.
2. Lada, C. J. and Lada, E. A., 2003, Ann. Rev. Astron. Astrophys., 41, 57.
3. Fall, S. M. 2004, in The formation and evolution of massive young star clusters, ed. H. J. G. L. M. Lamers, L. J. Smith, & A. Nota (San Francisco: ASP), ASP Conf. Ser., 322, 399.
4. Bastian, N., Gieles, M., Lamers, H. J. G. L. M., de Grijs, R., and Scheepmaker, R. A., 2005, A&A, 431, 905.
5. de Grijs, R., 2010, Phil. Trans. R. Soc. A., 368, 693.
6. Foebrich, D. S. Schmeja, D. Samuel, P. W. Lucas. 2010). Mon. Not. R. Astron. Soc. 000, 1–11 (2007) Printed 21 July 2010 (MN LATEX style file v2.2).
7. Bastian, N., Lamers, H. J. G. L. M.,. de Mink. S. E., Longmore1, N., Goodwin, S. P. and Gieles, M. 2013 MNRAS, 436, 2398.
8. Chen, X. F. and Han, Z. W. 2009, MNRAS, 395, 1822.
9. Glebeck, E. and Pols, O. R., 2008, A&A, 488, 1007..
10. Ahumada, J. A. & Lapasset, E. 2007, A&A, 463, 789.
11. de Marchi, F., de Angeli, F., Piotto, G., Carraro, G., Davies, M. B., 2006, A&A, 459, 489.
12. Kharchenko, N. V., Piskunov, A. E., Schilbach, E., Röser, S. and Scholz, R.-D. 2013, A&A, 558, 53.
13. Danilov, V. M. 2002a, AZh 79, 492.
14. Danilov, V. M. 2002b, AZh 79, 986.
15. Trujillo-Gomez, S., Reina-Campos, M., Diederik Kruijssen, J. M. 2019, MNRAS, 488, 3972.
16. Gieles, M.; Baumgardt, H.; Heggie, D. C. Lamers HJGLM, 2010. MNRAS, 408, L16.
17. Gieles, M., Alexander, P. E. R., Lamers, H. J. G. L. M. and Baumgardt, H., 2014, MNRAS 437. 916.
18. Lamers, H. J. G. L. M. and Gieles, M., 2006, A&A, 455, L17.
19. Lamers, H. J. G. L. M., Gieles, M., Bastian, N., Baumgardt, H., Kharchenko, N. V. and Portegies Zwart S., 2005, A&A 441, 117.
20. Lamers, H. J. G. L. M., Baumgardt, H. and Gieles, M., 2010, MNRAS, 409, 305.
21. Boutloukos, S. G. and Lamers, H. J. G. L. M., 2003, MNRAS, 338, 717.
22. Goodwin, S. P. and Bastian, N. 2006, MNRAS, 373, 752.
23. Morales Durán, C, Llorente de Andrés, F. and Ahumada, J., 2014, Highlights of Spanish Astrophysics VIII, Proceedings of the XI Scientific Meeting of the Spanish Astronomical Society.
24. Piskunov, A. E., Schilbach, E., and Kharchenko, N. V., Röser, S. and Scholz, R.-D. 2007, A&A, 468, 151.
25. Ferraro, F. R.; Lanzoni, B.; Dalessandro, E.; Beccari, G.; Pasquato, M.; Miocchi, P.; Rood, R. T.; Sigurdsson, S.; Sills, A.; Vesperini, E.; and 4 coauthors. 2012 Nature, 492, 393.
26. Herggie, D. C. & Hut, P. 2003. The gravitational million-body problem.
27. Gieles, M. et al 2008 (Gieles, M. Lamers, H. J. L. M., Baumgardt H in Vesperini E ed. Proc. IAU Symp. 246 Dynamical Evolution of Dense Stellar systems. Cambridge Univ. Press.
28. Knigge, C., 2015, Ecology of Blue Straggler.
29. Davies, M. B., Piotto, G. and de Angelli, T., 2004, MNRAS, 349, 129.
30. Mapelli, M., Sigurdsson, S., Ferraro, F. R., Colpi, M., Possenti, A. and Lanzoni, B., 2006, MNRAS, 373, 361.
31. Mapelli, M., Sigurdsson, S., Colpi, M., Ferraro, F. R., Possenti, A., Rood, R. T., Sills, A. and Beccari, G., 2004, ApJ, 605, L29.
32. Leigh, N., Sills, A., Knigge, A., 2011, MNRAS, 416, 1410.