Periodic Orbits of N Bodies on a Sphere

Аннотация

Gravitational interactions of N bodies are considered, which form a structure distributed over a sphere. A method and program for creating such structures are developed based on an exact solution to the problem of the axisymmetric interaction of N bodies. Studies on creating the structures are conducted, and their dynamics and evolution are investigated. On this basis, the dynamics and evolution of globular star clusters are explained.