小卫星编队飞行的相对运动学方程研究

以运动学方法为基础研究了编队卫星相对运动的一种更直接方法，利用不同天体力学特性，将相对位置和速度与相对轨道参数建立了联系，首先，详细推导了以运动学方法为基础的相对运动方程，据此可直接得出环绕卫星的轨道根数，其次，为有利于相对轨道分析和设计，对相对运动方程进行了简化，最后，通过例子验证了该方法的正确性，仿真结果表明该方法是有效可行的。

Research of Relative Kinematics on Small Satellite Formation Flying

This paper outlines a more direct approach of formation flying based on kinematics method. Using various celestial mechanics properties, a direct relation between the relative position and velocity and the orbit elements is developed. Firstly, relative motion equations are presented in detail in terms of relative motion parameters and orbit elements, so the orbit elements of adjoint satellites can be obtained directly. Secondly, relative movement is simplified from practice, so it is convenient for orbit analyzing and design. Finally, the correctness of the method is illustrated through a numerical simulation, the simulating results show that the method is effective and feasible.