Mathematical model of motion of the system a soft landing of spacecraft


Churkin V. M.

Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia



The mathematical model of the three-dimensional motion of the combined system of a soft landing (CSSL) reentry of spacecraft (SC), consisting of spacecraft, a parachute system (PS) and the braking propulsion system (BPS). In writing the equations of motion CSSL considered it a simplified physical model in the form of two solids (PS and SC dome with BPS), connected by weightless slings and suspension system. The rate of air expressed as a sum of three components of wind, standing, and turbulent wind. In determining the projections of the principal vector and principal moment of the thrust forces BPS is that brake motors are located on a ring centered on the axis of symmetry of the spacecraft, and they create traction parallel and directed in one direction. The proposed mathematical model can be used for both numerical and analytical study of the dynamics CSSL.


parachute system; spacecraft; retropropulsion; a gust of wind; a random variable; the Rayleigh law; the mass flow of fuel.

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