Numerical simulation of near Earth artificial space object dynamics using parallel computation

A short survey of algorithms and software developed by the authors for studying dynamics of large groups of near Earth artificial space object is given. The software permits one to solve the following problems: simultaneous investigation of orbital evolution of a large number of artificial satellites and objects of space debris, including the analysis of the chaotic state, improving orbits, simulating the process of space debris formation and distribution by means of explosions and collisions, discovering approaches of space objects, and forecasting the probability of their collisions.