phone +7 (3412) 91 60 92

Archive of Issues

Russia Saint Petersburg
Section Mechanics
Title Numerical solving Bok’s problem
Author(-s) Davydenko A.A.a
Affiliations Saint Petersburg State Universitya
Abstract 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.
Keywords stellar dynamics, star clusters, Bok's problem, numerical simulations, Lindblad's diagram
UDC 521.16, 524.4, 52-423.3
MSC 85A05, 70F15
DOI 10.20537/vm130206
Received 22 January 2013
Language Russian
Citation Davydenko A.A. Numerical solving Bok’s problem, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 2, pp. 59-64.
  1. Bok B.J. The stability of moving clusters, Harvard Obs. Circulars, 1934, vol. 8, no. 384, pp. 1–41.
  2. 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.
  3. 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.
  4. 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.
  5. Angeletti L., Giannone P. Stability of star clusters as galactic satellites, Astron. Astrophys., 1983, vol. 121, no. 2, pp. 183–189.
  6. Ruprecht J. The stability of galactic clusters, moving along an elliptical orbit, Bulletin of the Astronomical Institutes of Czechoslovakia, 1955, vol. 6, p. 134.
  7. 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.
Full text
<< Previous article
Next article >>