Abstract：An analytical method was developed to correct linear model results for the inter-satellite collision probability. The traditional linear collision probability model is simple, but has many limitations, and is not applicable to calculations of inter-satellite collision probabilities with small orbital differences. An analytical expression is given to relate the differences between the linear model and Monte Carlo simulation results according to the maximum and minimum relative distances between the satellites. This analytical expression can be used to improve the linear model results to be closer to the true collision probability. Simulations show that the method extends the application range of the linear model and further improves the accuracy.
姜薇, 蒋方华, 李俊峰. 近距离航天器间碰撞概率线性模型的解析修正[J]. 清华大学学报（自然科学版）, 2019, 59(9): 705-711.
JIANG Wei, JIANG Fanghua, LI Junfeng. Analytical correction for a linear model of inter-satellite collision probabilities. Journal of Tsinghua University(Science and Technology), 2019, 59(9): 705-711.
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2019, Vol. 59 
