Equilateral Triangular Array Formation Configuration Initialization Control for Space-Based Gravitational Wave Observatory
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Abstract:
This paper presents an analysis of an equilateral triangular array formation initialization for space-based gravitational wave observatory (GWO) near Lagrange points in the circular-restricted three-body problem. A stable configuration is essential for the continuous observation of gravitational waves (GWs). However, the motion near the collinear libration points is highly unstable. This problem is examined by output regulation theory. Using the tracking aspect, the equilateral triangular array formation is established in two periods and the fuel consumption is calculated. Furthermore, the natural evolution of the formation without control input is analyzed, and the effective stability duration is quantified to determine the timing of control interventions. Finally, to observe the GWs in same direction with different frequency bands, scale reconfiguration is employed.
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This work was supported by the China Scholarship Council (CSC)(No.202206290131).
PAN Zhengxu, BANDO Mai, ZHU Zhanxia, HOKAMOTO Shinji. Equilateral Triangular Array Formation Configuration Initialization Control for Space-Based Gravitational Wave Observatory[J]. Transactions of Nanjing University of Aeronautics & Astronautics,2025,(S):12-25