Galaxies and star clusters are collisionless self- gravitating systems. The models of their equilibrium states are solutions of the corresponding equations based on equations of motion of the particles of which the system consists. Therefore, modeling these systems requires solution of a series of problems, starting from the one-body problem. In this book models of various axially-symmetric collisionless systems are built, among which there are thin disk, bulge of a spiral galaxy and prolate galaxy in equilibrium and evolutionary states.