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Falling Atoms

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abstract

Atomic fountain clocks launch laser-cooled balls of atoms upwards to some height $h$ in 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 $g$ should be corrected for Coriolis and centripetal effects.

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2026 1

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