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Dc2LightTech
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I have access to 3 Cesium 10MHz Oscillators. If I place one on top, one under and one 10' from a 25Kg lead brick what would to the ns/time rate of change? I am thinking this would be a grate HS Science Fair project.
Accumulated time difference over that period is about ##10^{-19}\mathrm{s}##.Dc2LightTech said:what if I run if for 3 months (or 3 million seconds) and check for total drift?
Ibix said:Accumulated time difference over that period is about 10^-19s.
There's that factor of a trillion again.Vanadium 50 said:a 10 MHz clock "ticks" at 100 ns.
@Ibix says the effect is one part in 1019. From the spec sheet, your clock is good to no better one part in 1012.Dc2LightTech said:so there is no way to induce a relative drift
Not with the specifications you gave.Dc2LightTech said:so there is no way to induce a relative drift from one to the other of more that 100ns over 3 months?
Even that won't work because you would need to squeeze all that lead into a 1 meter radius sphere, and lead's density is about 10 orders of magnitude too small (about 10 tons per cubic meter, where you need ##10^{11}##). ##r## is the distance from the center of the gravitating mass, not from its surface.Ibix said:With your values being of order 1, that means you need about a hundred billion metric tons of lead.
Only if you scale up ##M## accordingly as ##r## increases. And given the accuracy of the OP's clocks, you would need to scale things up to roughly the size of a small planet.Vanadium 50 said:Everything is proportional to M/r. Because M ~ r3, your signal is proportional to r2.
Well, maybe a good sized moon.PeterDonis said:size of a small planet.