Configuration acquisition of gravitational wave detector based on differential geometry guidance

Abstract

This paper studies the configuration acquisition problem of the TianQin space gravitational wave detector. For the characteristics of the TianQin gravitational wave detector configuration, such as large scale, high precision requirements, and small upper limit of thrust, firstly, the large-scale configuration acquisition problem is transformed into a small-scale rendezvous problem using the virtual formation idea. Then, using the differential geometry guidance method, high-precision, and rapid rendezvous is achieved through continuous small thrust, and the process of achieving configuration acquisition through collaborative optimization using genetic algorithms is designed. Finally, the influence of differential geometry guidance law parameters on rendezvous performance is analyzed through simulation, and the feasibility of collaborative optimization to achieve configuration acquisition is verified.