Abstract:As the deployment of low-orbit large constellations reaching its peak with rapidly expanding scales, this study investigates the internal collision risks during the deployment of large low-Earth orbit (LEO) satellite constellations. A constructed constellation is used as an example to analyze the effect of phase parameters and orbital inclination on internal collision risk. Two methods are employed: the spherical geometry method, which does not consider perturbation effects, and the collision probability method, which does consider perturbation effects, to calculate the constellation's minimum distance and collision probability. Collision analysis reveals that the overall minimum distances decrease when perturbations are considered. Moreover, consistency is observed between the optimal configurations for minimum distance and collision probability indices when perturbations are taken into account. The study also discovers that the minimum distances of the constellation fluctuate periodically by 2° to 6° as orbital inclination increases. Based on these findings, an optimization strategy is proposed that involves fine-tuning the orbital inclination to reduce collision risks. Additionally, a configuration design strategy is designed to improve the computation precision with limited computational resources, namely the “initial screening of inclination by geometric method followed by detailed phase parameter screening with perturbation”