基于运动学方法的小卫星串行编队模型误差研究

Research on Model Error of Small Satellite Serial Formation Based on Kinematic Method

摘要:

针对小卫星串行编队构型设计,采用运动学方法建立串行编队相对运动数学模型。考虑偏心率等于零与不等于零时的两种情形,分别对所构建的运动学模型进行分析；采用MATLAB对相对运动学模型中包含的参考卫星半长轴与初始平近点角差进行仿真,将运动学模型计算结果与精确模型计算结果进行对比分析,得出初始平近点角差对编队模型误差的影响相对更大,为后续小卫星编队综合构形设计奠定基础。

关键词:小卫星;串行编队;运动学方法;距离误差;误差比值

Abstract:

In aiming to design the configuration of small satellite serial formation, the relative motion model is built based on kinematic method. Considering the two cases that eccentricity is equal to zero and not, two kinematic models were analysed respectively. The semimajor axis and initial mean anomaly difference of reference satellite in relative motion model are simulated based on Matlab software, and the calculation results of kinematic model and accurate model are compared.The result show that the initial mean anomaly difference has larger influence on the model error of the formation, which is useful for the subsequent comprehensive configuration design of small satellite formation.

Key words:small satellite; serial formation; kinematic method; range error; error ratio