Hazard of collisions in geostationary ring

Abstract

A probability of catalogue satellites collision in the geostationary orbit is calculated. The direct method is applied: the dangerous rendezvouses of the satellites are determined, and a probability of collisions under the dangerous rendezvouses is calculated. A density of distribution of the uncontrolled satellites coordinates and their orbital elements is obtained. A density of distribution of the directions and values of the relative velocities under dangerous rendezvouses of the geosynchronous satellites is also calculated.