In order to maintain the formation of UAVs during flight, pure azimuthal passive positioning is generally used to adjust the position of UAVs. In order to accurately perform UAV positioning, this paper establishes a single-objective optimization model of UAV with passively received signals based on the polar coordinates of UAVs, combined with geometric knowledge such as the sine theorem and triangle properties. And then the model is optimized and improved, i.e., when the position information of two UAVs is known, how many additional UAVs are needed to perform UAV localization. Therefore, it was found that two additional UAVs with unknown numbers were needed to determine the UAV position by establishing a new set of equations to achieve the positioning of the UAVs with slightly deviated positions. The model is important to achieve effective positioning of UAVs and adjust the solution.