Asymptotic method for predicting the resonance during the descent of an asymmetric probe in the Martian atmosphere

Abstract

Abstract This work is devoted to the study of the uncontrolled descent of a probe with small asymmetries in the atmosphere of Mars. The aim of the work is to formulate a method for predicting the principal resonance in the problem of the descent of a space probe with small geometric and aerodynamic asymmetries in the atmosphere of Mars. The noted resonance is observed in the case of a long-term coincidence of two characteristic frequencies of a nonlinear system of equations simulating the motion of the probe relative to the center of mass. The applying of the averaging method makes it possible to analyze non-resonant evolutions in the angular velocity and spatial angle of attack caused by the influence of the principal resonance. Presented resonance prediction method can find application in a whole class of problems of modern astronautics.