Relativistic navigation is a new high-precision autonomous celestial navigation method. This method obtains spacecraft’s position and velocity information by establishing two types of relativistic effects models， namely starlight gravitational deflection and stellar aberration. Therefore， the accuracy of models directly affects the accuracy of relativistic navigation. However， when establishing the current relation model between starlight gravitational deflection and spacecraft position， only the nearest celestial body is considered. The actual starlight gravitational deflection is not only related to the distance between the spacecraft and the celestial body， but also to factors such as the gravitational coefficient of the celestial body， and the angle between star and celestial body. Therefore， this article takes near Earth spacecraft as the object and considers the starlight gravitational deflection caused by multiple celestial bodies. Thereby， the relation model between starlight gravitational deflection and spacecraft’s position and the relation model between stellar aberration and spacecraft’s velocity are established. Using high-precision stellar angular distance information measured by optical interferometers， combined with orbit dynamics model and optimal estimation algorithm， the high-precision position and velocity of the spacecraft can be obtained. Finally， simulation shows that for geostationary orbit satellites， when the stellar angular distance measurement accuracy is 1 mas， the position and velocity errors of the proposed method are within 100 m and 0.01 m/s， respectively.
