Abstract:Double-star navigation positioning system adopts the mechanism of double-star positioning, and the basic position principle is that of three-sphere intersection measurement, where two observations are related to the distances between the two satellites and the survey station, and the third observation which is related to the survey station’s height is the critical factor that determines the system’s position accuracy. Thus, in order to simplify the positioning algorithm, and according to the relevant knowledge of earth ellipsoid, in this paper, the precise model of the third observation related with the user’s height was deduced, then the positioning algorithm was established. This algorithm had the characteristic of simplicity and understandability, and the simulation experiment results show that the algorithm had the characteristic of quick convergence rate and high accuracy of position