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  2.4     Combining Gravitational Time dilations with Special Relativity Time Dilations.

An attempt was made to find out if the identity in section 2.3 may be used to represent gravitational time dilations with an equivalent escape velocity vector (henceforth abbreviated as EVV.)  Let’s apply it to the GPS system.  Figure 6 illustrates a GPS satellite in its orbit.  The gravitational time dilation component is represented by an EVV at 26,500 Km. Adding this vector with its orbital speed vector and calculating the resulting time dilation, we get the exact time dilation given to the satellites in the current system.  Notice that the angle of the gravitational component is at a radial direction from Earth’s CG.  Because the satellite’s orbit is nearly circular, the two vectors will be at a right angle.  This matches the current method used when combining velocity and gravitational time dilations.  This method works very well with all experiments and applications involving gravitational time dilations where it was applied.

GPS satellite time dilations.

Figure 6  GPS satellite time dilation vectors


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