Abstract: Satellite-ground coverage analysis technology plays an important role in tasks such as satellite communication, navigation, and Earth observation. This paper focuses on the demand for ground coverage by satellite payloads and studies a fast coverage analysis method considering ground elevation constraints. The view element equation of the ground elevation is then established, and the analytical solution expression is derived. The trajectory intersection method can be used to quickly solve for the visible window of the ground elevation field of view to the satellite; namely, the time interval during which the satellite satisfies the ground elevation constraints. Subsequently, an adaptive search method is designed to rapidly determine the visible window. Through simulation experiments, it can be found that the visible window calculation error of the proposed method is on the order of 0.01s, and the computational efficiency is improved by 89.7% compared to traditional numerical methods. This verifies the effectiveness and efficiency of the proposed model and method.

Key words: satellite-ground coverage analysis, elevation view element, field of view mapping, adaptive search, analytical solution