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The model and the common method of calculation of the boron particles agglomeration during combustion of the boron-containing solid propellants have been suggested. The process of the boron particles agglomeration is considered as a result of competition between two main processes: the formation of adhesive bonds between contacting boron particles and rupture of these bonds under the action of the aerodynamic detached force from the side the flow of gaseous combustion products of solid propellant. The mechanism of formation of the adhesive bonds between the boron particles and a dependence of the strength of these bonds on the residence time of boron particles in the heated layer of condensed phase of propellant have been suggested. The criterion of occurrence of intense boron particles agglomeration has been suggested, and it was shown that depending on the propellant burning rate law, two different types of propellants with different behavior of the agglomeration process at pressure change can exist. The model of formation of boron oxide, boron nitride and boron carbide near the burning surface is suggested. The calculations of the boron particles agglomeration which demonstrates the effect of the strength of adhesive bonds between boron particles on the intensity of agglomeration have been carried out. The criterion of solid residues formation and dependence of their relative mass on pressure are obtained and analyzed.