Self-gravity analysis and modeling method of space gravitational wave detector
The self-gravity effect between the mass distribution of the spacecraft and the test mass is an important source of noise affecting the space gravitational waves detection.In response to this noise,the self-gravity analysis and dynamic model construction methods of space gravitational wave detectors are studied to achieve dynamic simulation of the full-link noise of the gravitational wave detection system.Firstly,the main influencing factors of self-gravity in space gravitational wave detection are analyzed,the analytical formula of gravity of any particle in space to the cube test mass is derived,and a finite element model of the spacecraft is constructed.Based on this model,the influence of main factors on self-gravity is analyzed.Then,a self-gravity mathematical model construction method based on finite element analysis and polynomial regression is proposed,and it is compared and verified by simulation test with back propagation(BP)neural network,support vector regression and other methods.Simulation results show that the accuracy of the proposed method is better than 10-16m·s-2 with a simple calculation process,and it can be effectively applied in subsequent scientific detection missions of gravitational waves.
space gravitational wave detectionfinite elementself-gravitypolynomial regression