A regularization of a system of differential equations of stellar dynamics

Paired collisions in the motion of stars (material points), moving in the three-dimensional space are regularized. It is assumed that a certain part of stars moves in a spherical homogeneous cloud (core) of a given density; another part of stars moves in a homogeneous concentric spherical layer (corona), surrounding the core and having a lower density. The remaining part of the stars moves in the free space. The KS transformation is applied for obtaining regular differential equations of motion, which are used in investigating the evolution of specific stellar systems.