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With the rapid increase of the number of satellites in low Earth orbit and the cooperation of satellites in constellation through networking, the ability of ground monitoring has increased. The "Starlink" is a model of low orbit giant constellations in recent years. The satellite orbit of the "Starlink" constellation is low, with short periods and high revisit rates; After carrying sensors, satellites form a detection area on the Earth"s surface, and different constellations of satellites can simultaneously achieve multiple coverage of key areas, completing 24-hour uninterrupted reconnaissance and monitoring of major regions around the world. This article represents the coverage area and target area obtained through modeling and calculation as polygons in a two-dimensional plane (the point below the star is represented as a point in the plane), which can transform the problem of calculating the time window for satellite coverage of the target area into a problem of determining the geometric relationship between the shapes. At the same time, a fast calculation method for solving the time window was designed based on the distance between polygons to address the problem of long time consuming fixed step sizes. By dynamically setting the step size based on the change rate of the predicted distance of polygons in the plane, the number of sampling points involved in coverage boundary calculation and intersection judgment with the target area within a day has been reduced from 86500 to 457, which improves the efficiency by about 99.5% compared to the fixed step size method.