卫星编队飞行相对轨道动力学模型的比较及选用

基于动力学方法推导了几种编队飞行相对轨道动力学模型．分析比较了引力项线性化以及J2摄动引起的模型误差的数量级，给出了模型选取的参考准则以及适用条件，分析了不同模型的适用性．最后选取太阳同步轨道和静止轨道作为数值算例，选取合适的相对轨道动力学模型，验证模型选取准则的有效性．仿真结果表明一定范围内考虑^摄动能提高精度，而超出一定范围J2的引入只会增加复杂性，因此提出的模型选取准则对相对轨道动力学模型的选取有一定的参考价值．

Comparison and Selection of Spacecraft Formation Flying Relative Orbit Dynamics Models

Based on the dynamics, several spacecraft formation flying relative orbit dynamics models are established in this paper. And then, error orders of magnitude leaded by the J2 perturbation and linearized gravitation are analyzed and compared. Reference rules for model selection and their applicable conditions are proposed. Applicability of different models is analyzed. At last based on two groups of parameters referred to solar synchronization orbit and GEO, dynamics models are selected according to the proposed reference rule, and mathematical simulations are carried out to verify the rule. The simulation results indicate that in a certain range the import of J2 perturbation will improve accuracy of model while in some range it will only lead high model complexity and the proposed method in the paper has a certain reference value for relative orbit dynamics model choosing.