Abstract. For some reasons (such as the failure of a satellite or the formation of a satellite formation mission), it is necessary to reconstruct the formation. In this process, the research on satellite collision avoidance has received extensive attention. In this paper, by deriving the initial state covariance matrix of the satellite, the collision probability density function was integrated in a specific region of the satellite, then the collision probability of formation satellites was obtained. The simulation experiments show that the method has great significance for the collision between satellites.

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