GPS Propagation Range Simulator
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Propagation range (Km)
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Wavelength on
Each Path:
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velocity through space (m/s)
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Freq of xmtr (Hz)
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l C4 path with wind
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l C4 path against wind
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Vrot satellite (m/s)
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radius of rotation (Km):
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Velocities on
Each Path:
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earth rot. V at latitude
(m/s)
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V C4 Path with wind
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V
C4 Path against wind
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wavelength of xmtr (m)
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Path Effect
(satellite to earth)
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Clock Effect
on satellite:
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Satellite
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Satellite
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Propagation
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Time for 180 deg.
rotation (s):
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Clock Effect Time Delay (sec)
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parallel to ether wind:
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anti-parallel to wind
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Time Difference (sec)
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t*(1/(1-v^2/c^2)*(L/2c^2)*V*wrot*sin(q)
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Propagation Time (s)
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Propagation Time (s)
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wrot Laser:
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Sagnac Effect
Error (when uncorrected)
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Error due to velocity through space (negligible)
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Dt Sagnac effect (sec):
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Range Error (m)
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Dt Path Effect - Clock effect (sec):
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Propagation Range
Error (m)
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Why is our translational motion through space never detected
in GPS satellite range tests?
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This simulation attempts to explain why GPS transmissions do not
detect our translational motion through space. As would be predicted by
Lorentz ether theory (1904) the transmitting clock undergoes an additive time
dilation as it orbits the earth which depends on the product of the
translational velocity through space and the spin velocity. This alters the
synchronization between the transmitting clock and the receiving clock, by
exactly the amount to cancel any propagation range time difference due to the
one-way speed of light in a particular direction. Since this time dilation is
never corrected in GPS satellites, the net result is that the measured speed
of light along the one way path is always equal to C. However, the much
smaller rotational velocity of the earth (Sagnac effect) is readily detected
and must be corrected for, otherwise a large range error occurs. In this
simulation, we compare the propagation time for a signal assuming a net
motion past the Cosmic Micromave Background Radiation (CMBr) as a preferred
frame for the speed of light, consistent with the original thinking of
Lorentz. Although a large time difference due to our motion should occur, it
is cancelled out by the change in the clock speed of the transmitter. As a consequence, Lorentz ether theory and
Special Relativity predict the same outcome, namely a measured speed of light
of C. Adjustable parameters are in the yellow boxes, including the various
velocities and ranges.
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