Using Cylindrical and Spherical Symmetries in Numerical Simulations of Quasi-Infinite Mechanical Systems

The application of cylindrical and spherical symmetries for numerical studies many-body problems is presented. It shown that periodic boundary conditions corresponding to formally symmetry allow reducing the problem a huge number interacting particles, minimizing effect conditions, obtaining reasonably correct results from practical point view. A physically realizable configuration also studied. advantages disadvantages symmetric realizations are discussed. Finally, symmetry, which naturally realizes three-dimensional system without boundaries on its two-dimensional surface, As an example, tectonic dynamics considered, interesting patterns resembling real ones found. stressed perturbations axis planet rotation may be responsible formation such patterns.