non-coplanar flyby is an effective method for monitoring important satellites in geosynchronous orbits. Taking the scenario of patrollong the geosynchronous belt with an elliptical orbit as an example,the paper proposed a method for solving the minimal orbital intersection distance(MOID) between any two elliptic orbits,proving that the optimal flyby point for the patrollong satellite is the Asending Node.The paper used ATK to model the mission scenario,investigating the variations in the optimal flyby point position in J2 gravitational model.The paper studied the variations in terminal constraints such as relative distance and sun phase angle at flyby point in the situation of different local times and different flyby directions.The paper proposed a transfer strategy that satisfies the maximum transfer time and terminal constraints,using the Astrogator in ATK,the mission parameters for the mission under different gravitational model assumptions are solved.The paper analyzed mission parameter corresponding to different true anomaly angles in two-body model,validating the effectiveness of the strategy and providing a basis for planning multiple patrol sequences.