Abstract
Atomic fountain clocks launch laser-cooled balls of atoms upwards to some height hin the local gravitational field where they experience both second-order Doppler shifts and gravitational frequency shifts. It is shown in this paper that the net shift, relative to a reference at the launch point, is g h/3 c^2 We derive the next most significant correction to this expression, and show that the value of gshould be corrected for Coriolis...
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