On the orbital evolution of explosion fragments

The dynamic explosion model and its use for the investigation of geostationary object breakups are considered. It is assumed that the fragment velocity directions have a spherically symmetrical distribution. The initial fragment orbits are determined under the condition that their distances from the Earth's center are equal and the increments of their velocities differ because of their directions. At the moment of breakups the fragment orbits and the orbit of the exploded object intersect in one point of space. The study of the long-term evolution of the intersection points allowed to discover the compact distributions of these points along the orbit of the exploded object. Observations of the vicinity of such point of accumulations, which fragments have to intersect, help the search for the fragments. The method has been tested for orbital analysis of observed explosions and applied to objects, which had a sharp change in their drift rate. The results of these investigations will be presented.