近地引力波编队构型设计与初始化方法研究

Research on configuration design and initialization method of near-earth gravitational wave formation

近地小型化引力波探测编队研制周期短、成本低,适合于引力波项目前期的关键技术验证,具有重要的工程应用价值。不同于深空环境,近地引力波编队受地球非球形引力摄动影响显著,星间距离易产生发散致使任务失败。因而相对于典型的深空引力波探测编队,近地引力波探测编队在无控状态下的自然稳定编队构型设计及其构型精确初始化是一个全新的轨道设计与控制问题。本研究以二体引力场下的轨道动力学和相对运动动力学为基础,对正三角形编队构型进行初步设计。再以构型长期稳定为目标,从摄动解析理论和智能优化的数值搜索方法对摄动条件下的自然稳定构型进行求解,为近地引力波探测编队提供了稳定的构型设计方案。最后,针对探测构型的精确初始化问题,探索了全局最优的微分校正策略,实现了近地引力波探测编队的高精度构建。

The near-Earth miniaturized gravitational wave detection formation has a short development period and low cost.Therefore,it is suitable for the verification of key technologies in the early stage of gravitational wave projects and has important engineering application value.Compared with the deep space environment,the inter-satellite distance of the formation of near-Earth gravitational waves tends to fluctuate greatly under the influence of the perturbation force,posing a challenge to the natural stable formation configuration design and accurate initialization.Based on the orbital dynamics and relative motion dynamics under the two-body gravitational field,this paper makes a preliminary design of the equilateral triangle formation configuration.Taking the long-term stability of the configuration as the goal,the natural stable configuration under perturbation conditions is solved with the perturbation analysis theory and the numerical search method of intelligent optimization,which provides a stable configuration design plan for the formation of near-Earth gravitational wave detection.Finally,for the precise initialization of the detection configuration,the global optimal differential correction strategy is explored,and the high-precision construction of the near-Earth gravitational wave detection formation is realized.