The mathematical model of the robot generally consists of a nonlinear multi-link system, so varioussimplifications are used in the analysis of its properties. In particular, linear models of robots and controlsystems are commonly used to study the controllability and robustness of robots. In this case, linearmodels are built on the edges of the actions of the robot or system, the properties of which must bestudied. Therefore, in order to build linear models of a robot and its control system, it is first necessary tofind the fixed equations of a particular robot, as well as its control system as a whole. In this work, theprocedure for developing a mathematical description of the robot is given. A three-dimensional model isdeveloped, its main characteristics are determined. A description of SolidWorks is provided to develop athree-dimensional model. The model is developed in the form of a system of differential and algebraicequations. Aerodynamic research of the model, analysis of stability and handling are carried out.