“太极计划”空间引力波探测器自引力计算与分析  

Self-Gravity Calculation and Analysis of"Taiji"Space Gravitational Wave Detector

作　　者：汤宁标 杨中光 余贤圣 何涛 蔡志鸣 余金培 李华旺 TANG Ningbiao;YANG Zhongguang;YU Xiansheng;HE Tao;CAI Zhiming;YU Jinpei;LI Huawang(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：《空间科学与试验学报》2024年第2期68-73,共6页Journal of Space Science and Experiment

基　　金：国家重点研发计划资助项目(2020YFC2200901)。

摘　　要：本文针对空间引力波探测自引力需求,依据“太极计划”空间引力波探测器设计方案,构建航天器整星有限元模型,基于有限元方法计算检验质量受到的自引力大小,分析将检验质量近似为单质点、多质点、立方体和类立方体情况下的自引力计算偏差,比较积分函数与理论解析公式的计算效果。仿真结果表明:当检验质量被近似为单一或多个质点时,其计算精度受质点数量限制;当检验质量被近似为立方体和类立方体时,其计算精度较高且两者相对计算偏差小于0.02%;当使用积分函数与理论解析公式计算自引力时,两种方法计算结果相差不超过10−18 m/s^(2),其中理论解析公式计算速度更快,可有效应用于后续自引力计算。In view of the self-gravity requirements of space gravitational wave detection,we build a finite element model of the whole spacecraft based on the design scheme of"Taiji"space gravitational wave detector,and calculate the selfgravity of the test mass based on the finite element method.The self-gravity calculation deviation is analyzed when the test mass is approximated as a single particle,multiple particles,a cube and a quasi-cube,and the calculation effects of the integral function and the theoretical analytical formula is compared.The simulation results show that when the test mass is approximated as a single or multiple particles,the calculation accuracy is limited by the number of particles;when the test mass is approximated as a cube or a quasi-cube,the calculation accuracy is higher and the relative calculation deviation between the two methods is less than 0.02%;when using the integral function and the theoretical analytical formula to calculate self-gravity,the difference in the calculation results of the two methods does not exceed 10-18 m/s^(2).The theoretical analytical formula is faster in calculation and can be effectively used in subsequent self-gravity calculations.

关 键 词：空间引力波探测 自引力 有限元方法 计算偏差分析 

分 类 号：V19[航空宇航科学与技术—人机与环境工程]