Relativistic Correction of the Static Absolute Position Equation of the GPS
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Abstract:
The static absolute position principle of Global Position System(GPS) is analyzed.The more strict equations of the GPS static absolute position are obtained,by considering the effect of the transmission of signal in earth's gravitation,on the condition that the earth's gravitation is static and spherically symmetric.The satellites' mass can be ignored and the satellites move in circular orbits.The effects of the other celestial bodies on the space-time can be neglected.And then the values of the correction quantities is estimated.The correction quantities are very small,about at the orders of magnitude from mm to cm.Moreover,the current GPS's corrections to the satellite clocks are not correspondent theoretically with the theory of measurement of general relativity.