Geodesic
Numerical solving Bok's problem
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2013), pp. 59-64

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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.
Keywords: stellar dynamics, star clusters, Bok's problem, numerical simulations, Lindblad's diagram. 
@article{VUU_2013_2_a5,
     author = {A. A. Davydenko},
     title = {Numerical solving {Bok's} problem},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {59--64},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2013_2_a5/}
}
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A. A. Davydenko. Numerical solving Bok's problem. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2013), pp. 59-64. http://geodesic.mathdoc.fr/item/VUU_2013_2_a5/