Models of spherical, self-gravitating stellar systems in which all the trajectories pass initially near the center are interesting to examine from different perspectives. Such models are compatible not only with the idea of explosive cosmogony, but also with the concept of formation of stars from a gaseous, spherical cloud, if they are not affected during formation by significant peculiar motions and thus “fall” into the center. Another question is whether such a system is capable of remaining stable for a long period of time. We will show that such a system is unstable with respect to regular forces and must be reconstructed during the course of one period of revolution of an individual star.