空间引力波探测器自引力分析与建模方法  

Self-gravity analysis and modeling method of space gravitational wave detector

作　　者：汤宁标 杨中光 余贤圣 何涛 蔡志鸣 余金培 TANG Ningbiao;YANG Zhongguang;YU Xiansheng;HE Tao;CAI Zhiming;YU Jinpei(Innovation Academy for Microsatellites of Chinese Academy of Sciences,Shanghai 201304,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院微小卫星创新研究院,上海201304 [2]中国科学院大学,北京100049

出　　处：《系统工程与电子技术》2024年第12期4083-4090,共8页Systems Engineering and Electronics

基　　金：航天器系统构建技术(2020YFC2200901)资助课题。

摘　　要：航天器质量分布和检验质量间的自引力效应是影响空间引力波探测的一项重要噪声来源。针对该噪声,研究空间引力波探测器自引力分析与动态模型构建方法,以实现引力波探测系统全链路噪声动态仿真。首先,分析空间引力波探测中自引力的主要影响因素,推导空间内任一质点对立方体检验质量的引力解析公式,构建航天器有限元模型,并基于该模型分析主要因素对自引力的影响。然后,提出一种基于有限元分析和多项式回归的自引力数学模型构建方法,并与反向传播神经网络、支持向量回归等方法进行比较与仿真验证。仿真结果表明,所提方法精度优于10^(-16) m·s^(-2),且计算简单,可被有效应用于后续引力波科学探测任务。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^(-16) m·s^(-2) with a simple calculation process,and it can be effectively applied in subsequent scientific detection missions of gravitational waves.

关 键 词：空间引力波探测 有限元 自引力 多项式回归 

分 类 号：V19[航空宇航科学与技术—人机与环境工程]