基 于 可 达 域 的 解 体 碎 片 云 中 期 演 化 建 模 方 法

The breakup of satellites in orbit is one of the main sources of space debris. Accurate simulation of the dynamic evolution of the debris cloud can avoid the collision between the debris and other satellites in orbit. In this paper,a method for modeling the debris cloud based on the perturbation orbit reachable domain theory is proposed for the complex medium-term evolution of the debris cloud. In this method,the spatial distribution of the debris cloud is described by the reachable domain envelope,and the density of uniformly distributed debris is characterized by calculating the volume of the reachable domain. Then,to improve the characterization accuracy,the debris cloud is stratified according to the size of the velocity increment,and the sub clouds with different velocity increment were simulated to achieve the accurate calculation of the non-uniformly distributed debris density. The simulation results show that the spatial distribution and density magnitude of the medium-term debris cloud given by the proposed method are consistent with the corresponding results of the numerical method.