While researching how SR effect could be applied to GPS clock after GR effect, I encountered the experiment made on 1971.(adsbygoogle = window.adsbygoogle || []).push({});

In the section "Kinematic Time Shift Calculation", I saw an totally no sense algorithm, violating simple math.

First,

Ts = T0 * (1+R^2w^2/(2*c^2)), where Ts is the Earth surface time, R is the Earth's radius and w is the Earth's angular velocity of Earth's rotation.

Second,

Ta = T0 * (1+(R^2*w^2+v^2)/(2*c^2)), where Ta is the airplane's time and v is airplane's velocity.

Then,

Ta-Ts = T0 *( 2Rwv+V^2)/(2c^2).

Up to here , it's totally reasonable.

Next thing, it brought in is completely math. incorrect.

Ta-Ts = - Ts * (2Rwv+v^2)/2c^2.

Note the minus sign coming from nowhere. If Ta is larger than Ts from the first two equations, Ta-Ts will never be negative.

If this math. can live in the Physics, there is definitely something wrong.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Hafele and Keating Experiment

**Physics Forums | Science Articles, Homework Help, Discussion**