Volosheniuk O. Models and methods of the dynamics investigation of a small space tethered system of two end bodies, stabilized by rotation

Object of research is a transitional regimes of relative motion and stabilization processes of the angular motion of a small rotating space tethered system (STS). Study purpose is to increase the accuracy of orientation of the end bodies of the small rotating STS by constructing models and methods for investigating the dynamics of the considered systems, and on their basis determining the system motion regularities and solving the problems of stabilization the angular motions of the end bodies. Research methods – methods and principles of theoretical mechanics, methods of the space flight dynamics, methods of the theory of oscillations, methods of analytical and numerical integration of differential equations, methods of experimental research, methods of the theory of elasticity and probability theory. Scientific result is the obtaining of methods and approaches that are the methodological basis for the choice of parameters and construction characteristics of rotating STS and obtaining new results in determining of the motion regularities of the small rotating STS of two end bodies. The practical significance of the obtained results is the development of mathematical, methodological and software studies of the dynamics of the considered STS. Novelty – a method for determining the parameters and characteristics of a ground-based tethered system, which unlike existing ones, is based on the equivalence of acting forces and frequency characteristics of space and ground tethered systems designed to verify the functionality of the control system for the angular motion of the end body; simplified method (in comparison with the existing methods) for determining the probabilistic estimates of the survival time of the STS in orbit at the threat of tether destruction by particles of space debris (SD), which allows to evaluate not only the effect of particle size on the survival of the STS, but also to make calculations for the STS with double-fiber tether; developed further: a mathematical model of the spatial motion dynamics of the small rotating STS in the direction of its complement due to the inclusion of its own dynamics connected to the tether end bodies, increasing the accuracy of modelling of the real system; mathematical model of the dynamics of the processes of stabilization of the angular motion of the end body of the tethered system through its addition by incorporating into the system of special damping devices, which allows to evaluate the force effects of the proposed devices on the motion of the end body, depending on their design features. The degree of implementation – in the “Yuzhnoye” State Design Office (two implementations), Dnipro; in the Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, Dnipro. The field of application – rocket and space technology.