Model of Ejection of Matter from Dense Stellar Cluster and Chaotic Motion of Gravitating Shells
It is shown that during the motion of two initially gravitationally bound spherical shells, consisting of point particles moving along ballistic trajectories, one of the shell may be expelled to infinity at subrelativistic speed v ≤ 0.25c. The problem is solved in Newtonian gravity. Motion of two intersecting shells in the case when they do not runaway shows a chaotic behaviour. We hope that this simple toy model can give nevertheless a qualitative idea on the nature of the mechanism of matter outbursts from the dense stellar clusters.
KeywordsSpherical Shell Central Body Chaotic Motion Newtonian Gravity Stellar Cluster
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