“…Scholars Non-target objects (Liu et al, 2018;Zhang and Huang, 2018;Zhao et al, 2020b) have studied the dynamics and control strategy of the space net, and also improve the TSNRS's stability and capture ability. However, the rapid increasing space debris has caused more worrying (Adushkin et al, 2020), the number of debris has been rising rapidly in the past two decades, about 28,160 space objects are tracked by the US Space Surveillance Network, which covers objects larger than about 5 cm to 1 m. A large proportion of debris objects in orbit today are left over from the collision between satellites Cosmos-2251 and Iridium 33 in 2009, and the size of these clouds of debris are getting small under the impacts of Kessler (Kessler and Cour-Palais, 1978;Mason et al, 2011). Moreover, the number of commercial satellites launched to near-Earth space has over 2000 up to 2021, especially the Star-link they have launched more than 1,600 satellites (1,600/42,000) operating in Low-Earth Orbit until September 15, 2021 (Starlink, 2021).…”