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针对近地圆轨道编队卫星碰撞预警问题,建立了仿真想定。提出了以拟最大瞬时碰撞概率为检测指标的碰撞预警策略,利用典型轨道仿真验证了策略的有效性。拟最大瞬时碰撞概率的计算,需要求解预警时间段内编队卫星间的最小距离和发生时刻。通过对距离平方的导数函数的分析,提出了一种变尺度直接逼近算法,用于寻找距离函数的极点,从而完成极小值的求解。对典型轨道的仿真结果显示:变尺度直接逼近算法能够完成距离函数最小值的求解。的研究成果将对卫星编队碰撞预警的工程化提供有益的参考。
Aiming at the warning problem of satellite collision of near-Earth orbit formation, a simulation idea is established. A collision early warning strategy based on the probability of maximum instantaneous collision is proposed, and the effectiveness of the strategy is verified by typical orbital simulation. To calculate the maximum instantaneous collision probability, it is necessary to solve the minimum distance and the occurrence time of formation satellites during the early warning period. By analyzing the derivative function of distance squared, a variable-scale direct approximation algorithm is proposed to find the pole of the distance function and to solve the minimum. The simulation results of typical orbits show that the variable scale direct approximation algorithm can solve the minimum of distance function. The research results will provide a useful reference for the engineering of satellite formation collision warning.