Simulation of the algorithms and their visualization forthe solutions to the restricted problems of the cosmic dynamics of the fourteen bodies with three rings

The restricted problem of the fourteen bodies with three rings is considered. The results of the visualization and dynamic investigations with the Mathematica system are given. The equilibrium positions are found with the use of analytical, numerical and graphical possibilities of the system. The stability of the equilibrium positions is then considered. Visualization and animation techniques are used for the observations of the motion processes.