基于对偶四元数的空间引力波探测器稳定构型优化设计  

Optimal Design of Stable Configuration of Space Gravitational Wave Detector Based on Dual Quaternion

作　　者：张锦绣 张谕 王继河 杨继坤 逯振坤 宋昱岐 ZHANG Jinxiu;ZHANG Yu;WANG Jihe;YANG Jikun;LU Zhenkun;SONG Yuqi(School of Aeronautics and Astronautics,Sun Yat-sen University,Shenzhen 518107,China;School of Physics and Astronomy,Sun Yat-sen University,Zhuhai 519082,China)

机构地区：[1]中山大学航空航天学院,深圳518107 [2]中山大学物理与天文学院,珠海519082

出　　处：《深空探测学报（中英文）》2023年第3期268-276,共9页Journal Of Deep Space Exploration

基　　金：广东省基础与应用基础研究重大项目(2019B030302001)。

摘　　要：针对空间引力波探测器的轨道构型稳定性,研究了空间大尺度航天器编队稳定构型设计和优化方法。考虑日地月引力场对编队构型的影响,在日心坐标系下,将地球、月球和3颗航天器视为一个编队进行研究;基于对偶四元数建立自然/人造天体动力学模型,对有/无中心天体的空间引力波探测系统模型进行统一的描述;给出了基于遗传算法的待优化参数,并设计了优化目标函数。仿真结果表明:在不进行轨道控制情况下,1年内探测器满足轨道构型的稳定性要求。To ensure the stability of the orbital configuration of the space gravitational wave detector,the design and optimization method of stable formation configuration of the large-scale spacecraft in space was studied.Considering the influence of the sun-earth-moon gravitational field on the formation configuration,the earth,the moon,and three spacecraft were regarded as a formation for research in the heliocentric coordinate system.Based on dual quaternion,the natural/artificial celestial body dynamics model was established,and the space gravitational wave detection system model with and without a central celestial body was uniformly described.The parameters to be optimized based on genetic algorithm were given,and the optimization objective function was designed.Simulation results show that the detector meets the stability requirements of the orbit configuration within one year without orbit control.

关 键 词：航天器编队 轨道构型 对偶四元数 遗传算法 

分 类 号：TN95[电子电信—信号与信息处理]