Qualitatively new effects of spatial movement of bodies reentering the atmosphere at a velocity less than the circular one, resulting in a bifurcation change of the dispersion area of the impact points under the varying entry conditions, are described. The investigation is connected with the solution of the actual problem of minimization of the dispersion areas of separated parts of advanced space transport systems. The analytical method of determining critical (the worst at a given probability) random disturbance profiles that make it possible to reduce the amount of calculations by orders of magnitude and to increase the accuracy of evaluating the dispersion area boundary in comparison with the Monte Carlo method is formulated based on the optimum control theory.
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