Section
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Mechanics
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Title
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Numerical solving Bok’s problem
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Author(-s)
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Davydenko A.A.a
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Affiliations
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Saint Petersburg State Universitya
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Abstract
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We numerically investigate the orbits of star cluster moving in the plane of the Galaxy in a circular orbit (Bok’s problem). Shuster–Plummer model is used as a model of the potential of the cluster. We examine the impact of initial conditions on the star movements, in particular on the star opportunity to fly out of the cluster. The mass calculation of star orbits for various initial values of energy and momentum with respect to the cluster is carried out. The probabilities for a star to leave a cluster are estimated.
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Keywords
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stellar dynamics, star clusters, Bok's problem, numerical simulations, Lindblad's diagram
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UDC
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521.16, 524.4, 52-423.3
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MSC
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85A05, 70F15
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DOI
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10.20537/vm130206
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Received
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22 January 2013
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Language
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Russian
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Citation
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Davydenko A.A. Numerical solving Bok’s problem, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 2, pp. 59-64.
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References
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- Ossipkov L.P. Libration points for Bok’s problem, Vestn. St-Peterbg. Univ., Ser. 10, Prikl. Mat. Inf. Prots. Upr., 2007, no. 3, pp. 62–70.
- Ossipkov L.P. Ordinary differential equations in the problems of stellar dynamics, Matematicheskie metody issledovaniya kosmicheskikh sistem, St-Petersburg: St-Peterbg. Univ., 2003, pp. 73–131.
- Kozhanov T.S. Stability of star clusters moving over the elliptical orbits in the Galactic tidal field, Voprosy nebesnoi mekhaniki i zvezdnoi dinamiki, Alma-Ata: Nauka, 1990, pp. 97–107.
- Angeletti L., Giannone P. Stability of star clusters as galactic satellites, Astron. Astrophys., 1983, vol. 121, no. 2, pp. 183–189.
- Ruprecht J. The stability of galactic clusters, moving along an elliptical orbit, Bulletin of the Astronomical Institutes of Czechoslovakia, 1955, vol. 6, p. 134.
- Davydenko A.A., Ossipkov L.P. On the cluster dynamics in the Galactic field, Astronomical Society of the Pacific. Conference Series, 2004, vol. 316, pp. 186–188.
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Full text
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