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

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.