  Space-based and ground-based telescopes have extensively documented the
impact of satellites on astronomical observations. With the proliferation of
satellite mega-constellation programs, their influence on astronomical
observations has become undeniable. It is crucial to quantify the impact of
satellites on telescopes. To address this need, we have enhanced the circular
orbit model for satellites and introduced a methodology based on two-line
element (TLE) orbit data. This involves constructing a satellite probability
distribution model to evaluate the impact of satellites on telescopes. Using
our method, we assessed the satellite impact on global observatories. The
results indicate that the regions most severely affected by satellite
interference currently are those near the equator, with latitudes around 50 and
80 degrees experiencing the most significant impact from low Earth orbit
satellites. Furthermore, we validated the reliability of our method using
imaging data obtained from the focal surface acquisition camera of the LAMOST
telescope.
