Abstract—We study dynamics of the motion of a landing vehicle under descent in the atmosphere of Mars. In the final stage of the landing vehicle's movement, that is, its landing, significant perturbations are caused by the external environment. This can affect the performance of the entire flight mission of the spacecraft. Therefore, it is necessary to develop methods for calculating the dynamics of the landing vehicle in the atmosphere of Mars. In the first part of paper, we present a method for calculating the motion of a landing vehicle in the resonance mode. In the second part, we present a method for calculating the parameters of angular motion of the landing vehicle based on joint integration of the differential equations of motion. The modeling results of the movement of the landing vehicle with inflatable braking devices show that the main factor causing changes in the parameters of the angular motion of the landing vehicle is the asymmetry of its external form.