Analytical method for net deployment dynamics modeling and its experimental validation

Tethered-net capturing method is one of the most popular methods for future space debris removal missions. Current modeling methods of net deployment dynamics usually rely on finite element analysis. However, the computational cost of those simulations is dramatically increased when the net is in large-scale and has many degrees of freedom. In this paper, we simplified the configuration of the net and established the dynamic models for the net deployment, including the two-degree-of-freedom model and the three-degree-of-freedom model. In addition, a net shooting device with adjustable ejection angle is designed to study the deployment characteristics of the tethered-net at different ejection angles and velocities. The established dynamic models of the tethered-net is therefore experimentally validated. The comparison between analytical and experimental results shows that the three-degree-of-freedom model is more accurate than the two-degree-of-freedom model in describing the net deployment process. Furthermore, comparison of simulation time between the three-degree-of-freedom model and the widely used mass–spring model demonstrates the computational efficiency of the proposed method. It is concluded that the proposed formula allows to support the preliminary design of a net capturing system and to achieve a real-time simulation.