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.
.
Figure
6 GPS satellite time dilation vectors
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