Abstract. We consider the problem of implementation of non-resonant motion at descent of a spacecraft with small mass and aerodynamic asymmetries in the low-density atmosphere of Mars. A controllable decrease in the mass asymmetry contributes to implementation of non-resonant motion of the spacecraft. We introduce an analytical control law for the magnitude of asymmetry. The results of numerical simulation of spherical motion of a spacecraft with controllable asymmetry are included. Keywords: spacecraft, resonance, control, atmosphere, asymmetry Citation: Lyubimov VV, Kurkina EV. Simulation of the dynamics of nonresonant motion in a controlled descent of an asymmetric spacecraft in the lowdensity atmosphere