Description: The analysis of known methods of carrying out the basic tactical calculations, which are used by the military command during the preparation of the battle, is carried out, namely, when assessing the combat situation. The article clearly shows the logic of the process of determining the possibility of a counterattack by friendly troops of enemy troops during the battle. The course of development of the mathematical apparatus for determining the possibility of a counterattack is presented and the principles of its use are determined. The calculation takes into account the main factors that will unequivocally affect the actions of their (friendly) troops in the conditions of modern combat. Input and output data are determined, which are necessary for making calculations using the developed mathematical apparatus. Graphical and numerical results of calculations are graphically presented, on the basis of which the corresponding conclusions are drawn. Based on the results obtained, conclusions are drawn and the main recommendations on the possibilities for further use of the developed mathematical apparatus are proposed. The developed mathematical apparatus for determining the possibility of a counterattack and the software developed on its basis can be used to ensure the process of development and a justified decision-making, both in preparation for the battle and in the conditions of combat, with sudden changes in the combat situation.
Keywords: calculation, decision, milestone, counterattack, the operation of troops, the enemy, their troops