Development of Methods for Forming Areas of Allowed Conditions for Dropping Guided Aviation Bombs of Modular Structure

Abstract

The armed aggression of the russian federation showed that the number of military formations does not give advantages on the battlefield. Thanks to skillful leadership and modern weapons, which include guided air bomb, it is possible to gain an advantage on a specific section of the front. Recently, the modern world trends are to increase the accuracy of ammunition damage. The effectiveness of guided air bomb damage in comparison with conventional air bombs is beyond doubt.
 The method of forming regions of permitted dropping conditions of guided aerial bombs of modular design is a procedure for finding sets of vertices of the area of permitted dropping conditions. Its essence consists in selecting a subset of points with extreme properties from a set of some points in the space of phase states of the bomb. This procedure is iterative, convenient to implement, and the use of well-researched methods of linear programming allows to ensure computational stability of the procedure in the entire range of possible conditions of combat use of bombs.
 The problem of optimal control is reduced to a boundary value problem – to find a solution to a system of equations whose phase coordinates satisfy the initial conditions and boundary conditions. In addition, according to the principle of the maximum, the Hamiltons function under optimal control should reach a maximum. Based on the results of research, it was established, that: function H reaches its maximum at the obtained control values; from the position obtained as a result of the solution of the minimax filtering algorithm with correction from the satellite navigation system, the hypothetical problem of optimal launch of the guided air bomb in the final control area is solved; a transition to a new position is made with the control obtained by solving the problem of optimal launch into the final control area; in the new position, the parameters of the guided air bomb own movement are monitored and filtered; the solution of the problem continues until the end of control of the guided air bomb.