Prediction of the space debris spatial distribution on the basis of the evolution equations

• New evolution equations for predicting the statistical distribution of space debris over the perigee altitude are derived.
• The algorithms for solution of evolution equations are developed.
• The application of new equations makes it possible to decrease computer time expenses by several orders of magnitude.

The numerical–analytical technique for long-term prediction of the space debris (SD) spatial distribution, based on derivation and solution of new evolution equations, is developed. These equations are represented in two forms — difference and differential. In the latter case the problem is reduced to integration of the system of two ordinary differential equations. A high efficiency of the proposed technique, as compared to the traditional approach, is demonstrated.