The Effects Of The General Relativity To The Global Position System And The Correction Of The Static Absolute Position Equation Of The System Based On The Effects

According to Einstein's general relativity, space-time is curved because of gravitation. The effect of curved space-time around earth is characterized by Schwarzschild solution.The relativistic effects to Global Position System (GPS) as follows: 1) the effect of time delay of the special relativity; 2) the effect of the gravitational potential of the general relativity; 3) the effect of curved space-time around earth on the signal transmission; 4) the frame-dragging effect for the rotation of earth. 5)the effect of curved space-time of sun, moon and celestial bodies else.The static absolute position principle of Global Position System (GPS) is the most radical position principle. By measuring the travel time, according as the observed quantity of distance from the GPS satellites to ground receiver, and based on the known instantaneous satellites'coordinates, finally ground receiver's coordinates are obtained. But there is clock bias between satellites'clocks and receiver's. So the distance observation quantity of GPS is adopted as the pseudo-range between satellites and receiver.Nowadays,it is thoroughly considered that the effect of time delay of the special relativity and the effect of the gravitational potential of the general relativity. But the distance between the satellites and receiver is calculated in the flat space-time. The effect of the transition of position signal in curved space-time is not considered. Because 4) and 5) are very weak, they are ignored. So applying the generalrelativity, given that the earth gravity is regarded static and spherically symmetric, that the mass of satellites is neglected and the satellites move in circular orbits, and that the celestial bodies other than earth make no affections to the space-time, after a serious of complicated calculation and proof, the more strict equations are obtained for the GPS static absolute position by considering the effect of the transmission of signal in curved space-time(that is, g 00and g1 1component of the Schwarzschild metric is thoroughly considered) on the basis of previous static absolute position equation.Because the final corrected equation is non-linear, it is difficult to gain the solution. So the equation's corrected terms are calculated by the software of mathematics. After the supposed four satellites'coordinates and receiver's coordinate are taken into account, the correction as follows: satellite one (0.00138367m); satellite two (0.000713467m);...