基于T-H方程的编队卫星碰撞概率与规避策略研究

摘要

The collision prediction and collision avoidance maneuver strategies in an elliptical orbit for formation flying satellites are studied based on T-H equation. By propagating the relative state covariance matrix forward and integrating the collision probability density in the risk region, the collision probability of the formation flying satellites is calculated. In the condition that the collision probability is exceeded the safety threshold, a miss distance is created at the predicted collision point along the collision probability gradient by applying a minimum impulsive velocity correction so that the collision point will be on the safety contour line. The simulation results show that the collision prediction method is effective and the avoidance maneuver strategy is feasible.%基于T-H方程,对椭圆轨道下编队卫星碰撞预测以及规避机动进行了研究.通过递推编队卫星的初始状态协方差矩阵,将碰撞概率密度在危险域内积分获得编队卫星的碰撞概率.当碰撞概率大于安全阈值时,采用瞬时校正速度的控制策略对卫星施加最小脉冲速度修正量,在所预测的碰撞点沿碰撞概率梯度产生偏移,到达安全等高线上,从而降低碰撞概率.仿真结果表明,该预测方法有效,规避策略可行.