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对于航天器来说,空气阻力通常是一种不利的摄动因素,但是也可以利用它来实现卫星星座的相对站位保持,基本思路是通过控制卫星的弹道系数来达到站位保持的目的。本文首先用最优控制理论探讨了对相同圆轨道上两星相位差的控制方法,并进而推广到星座中卫星的站位保持;其次,提出了利用空气阻力进行Walker-δ星座相对相位保持的充分条件,并提出了一个简单的控制规律,进行了仿真分析,结果表明利用空气阻力进行相对相位保持可以实现稳定性很好的星座相位控制。
Air resistance is usually an adverse perturbation factor for a spacecraft, but it can also be used to maintain the relative position of the constellation of satellites. The basic idea is to achieve the purpose of station holding by controlling the satellite’s ballistic coefficient. In this paper, the optimal control theory is applied to control the phase difference of two stars on the same circular orbit and further to the station holding of the satellites in the constellation. Secondly, the method of using the air resistance to hold the relative phase of the Walker-δ constellation Sufficient conditions are proposed and a simple control law is proposed. The simulation analysis is carried out. The results show that the phase stability of the constellation can be controlled by the relative phase of air resistance.