Abstract
The problem of the dynamics of space lander landing on the surface of a celestial body with small gravitational field is considered in this paper. This report presents a sustainable solution to the problem of landing on a small celestial body based on the use of special pinch engines. The thrust value of pinch engines is considered to be constant in process of operation. The optimal time of inclusion of works of pinch engines, working conditions to ensure the stability of landing lander on the surface of small celestial bodies is defined in this paper, and influence of the thrust value of pinch engines on the stability of landing also investigated in this paper. The minimum value of the ratio of engine thrust to weight of space lander, at which make landing reliable and stable is presented.
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