Abstract

AbstractThe existing spacecraft inertial navigation has high positioning accuracy in a short time, but there are errors accumulated with time, which can not fully realize autonomous navigation. The concept of inertial system in general theory of relativity is introduced to inertial navigation, taking the geodetic moving object around the earth as the reference system of follower inertia, the specific force and gravity gradient are measured by the spacecraft on-board accelerometer, and the navigation and positioning purpose is achieved by solving the state quantity of the spacecraft relative to the follower inertial system. This method takes into account the influence of general relativity on gravitational space–time. In the process of navigation, the servo reference system is transformed, and the close orbit of the spacecraft's current orbit is always selected as the servo inertial reference system, which can obtain high measurement accuracy.KeywordsInertial navigationGeneral relativityAccelerometer

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