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** Description:** The article examines the possibility of reducing the required amount of large-caliber rockets with a cluster warhead equipped with combat elements to perform a typical fire mission with a given probability value. The probability of impact a small object that is part of a group target depends on the probability of its covering by the area of uniform dispersion of combat elements drop points, after opening the cluster warhead, and on the probability of the combat element hitting the reduced object damage area. For calculating probability values, the average values of these areas are usually used. The main theses of the method of analytical assessment of the combat elements drop points dispersion area space are given. It area is approximated by an ellipse. Formulas for estimating the values of this ellipse parameters (the maximum range and lateral deviations of combat elements drop points from the grouping center) are given. It was propose to calculate the flight range of a combat element in the main shooting plane based on the “cubic” theory of a material point motion in a plane-parallel gravity field, taking into account the effect of air resistance by finding the real positive root of a third-degree polynomial. The conditions the maximum range and in the lateral deviations of combat elements drop points from the grouping center occur are determined. Based on the above method, an estimation of the size of uniform dispersion area of combat elements drop points was obtained. It has been established that the dimensions of this space depend on the height of the cluster warhead opening point and the velocity vector of the center of mass of the rocket at the time of opening the cluster warhead, which in turn depend on the firing range. The graph of the dependence of combat elements dispersion area from the firing range is obtained. Given graph shows that at small and long firing ranges, the value of the combat elements dispersion area decreases compared with the average value, which leads to an increase the density of distribution of combat elements. This feature is a prerequisite for exploring the possibility of reducing required amount of rockets in future research.

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Keywords:
** combat elements, dispersion of drop points, space of dispersion area , cubic theory of a material point motion

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