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地球形状摄动对卫星编队飞行的相对运动有很大影响,会使卫星的相对轨道发生转动或漂移。该文推导了主、从星沿小偏心率轨道运行情况下的相对轨道的零J2摄动条件。如果编队卫星的交点周期和节线的进动速率相等,那么J2摄动对相对运动没有影响,卫星可长期保持编队飞行。在选取的主、从星轨道根数之差为小量的前提下,给出了零J2摄动的一阶近似条件的解析表达式。仿真结果表明,当编队卫星的相对运动满足零J2摄动的一阶近似条件时,卫星相对运动轨道构形的漂移明显减少。
The perturbation of the shape of the Earth has a great influence on the relative motion of satellite formation flying, which causes the relative orbit of the satellite to rotate or drift. This paper deduces the zero-J2 perturbation condition of the relative orbit of the main and the orbits along the small eccentric orbit. J2 J2 perturbation has no effect on relative motion if the formation period of the formation satellites is equal to the precession period, and the satellites can maintain formation flight for a long time. Under the premise of the difference between the numbers of orbits of the orbits, the analytical expressions of the first-order approximation conditions of zero-J2 perturbations are given. The simulation results show that when the relative motion of the formation satellites satisfies the first-order approximation condition of zero-J2 perturbation, the drift of the orbit of the relative motion of the satellite obviously decreases.