Regularization of a system of differential equations of stellar dynamics

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Collision Parameters, Differential Equations, Equations Of Motion, Stellar Motions, Algorithms, Star Clusters, Stellar Evolution, Stellar Systems

Scientific paper

The regularization of pair collisions for stars (material points) moving in three-dimensional space is carried out. It is assumed that a certain part of the stars moves in a spherical homogeneous cloud (the nucleus) of given density, while another part of the stars moves in a homogeneous concentric spherical layer (the corona) surrounding the nucleus and having a smaller density; the remaining stars move in free space. The KS transformation is used to obtain regular differential equations of motion, which are used to study the evolution of particular stellar systems.

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