Methodology of estimation the parameters permissible values of the aerodynamic and inertial asymmetry of the martian probe

Abstract

A technique for estimating small permissible values of the parameters of the aerodynamic and inertial asymmetry of an unguided space probe in the rarefied layers of the Martian atmosphere is considered. The desired estimate is presented as a region on the plane of asymmetry parameters. It is assumed that the spatial angle of attack during descent in the Martian atmosphere of the space probe takes small values. In this work, the region of admissible values of the asymmetry parameters of the space probe is determined, which ensures a non-resonant uncontrolled descent in the Martian atmosphere. In this case, the maximum values of the small aerodynamic and small inertial asymmetries of the space probe are calculated, at which its angular velocity does not reach resonance values. An algorithm is proposed for determining the region of admissible values of space probe asymmetry parameters, which ensures non-resonant motion in the Martian atmosphere. The results of numerical simulation confirm the reliability of the restrictions determined using the proposed method and imposed on the region of permissible values of the parameters of aerodynamic and inertial asymmetries.