The Starlink is a giant Low Earth Orbit (LEO) constellation. Firstly, this paper uses the interface provided by Satellite Tool Kit (STK) and Matlab programming to simulate, calculate the coverage and verify the visibility algorithm. In addition, satellite constellation can provide reconnaissance, surveillance, communication, navigation and other capabilities while carrying sensors. Based on the satellite orbit prediction and sensor coverage, the visibility of the satellite to the target area is to calculate the time period when the satellite passes through the specified area in the prediction cycle. Finally, according to the calculation of instantaneous ground coverage area by sensors with different shapes and attitude angles, whether the satellite coverage area overlaps with the target area can be abstracted as judging the geometric relationship of polygons on the plane.