Space-based gravitational wave detection serves as a highly effective approach for detecting low-frequency gravitational wave signals. Compared to ground-based counterparts, it can circumvent the interference of terrestrial environment noise and achieve higher sensitivity and a broader detection frequency band. However, it is confronted with great engineering and technical difficulties. Space-based gravitational wave detection architectures are broadly classified into heliocentric and geocentric orbital schemes. This paper focuses specifically on the latter. It reviews the current research status of constellation construction and control technologies for geocentric orbits and summarizes the challenges inherent in the control technologies of this scheme. Based on this analysis, this paper proposes recommendations for future research on the key technologies of constellation construction and control within the geocentric orbit framework. These insights aim to provide a theoretical reference for the engineering implementation of future space-based gravitational wave detection missions, thereby facilitating the transition of the geocentric orbit scheme from conceptual design to practical application.
(292931) et al. (Mon,) studied this question.