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Equation 151 · Part 2 · The Bend an Elevator Cannot Fake

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Ω2≈5.32×10−9 s−2\Omega^2 \approx 5.32\times10^{-9}\,\mathrm{s^{-2}}
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

Earth’s own centrifugal contribution is the concrete case worth sizing, precisely because it is not negligible enough to ignore by assumption. With Ω\Omega ≈\approx 7.292×\times10^{-5}\,rad s−1\mathrm{rad\,s^{-1}} fixed by astrometry to far more figures than any clock network could hope to determine on its own [ 10 ] , the centrifugal Hessian has magnitude Ω2\Omega^2 ≈\approx 5.32×\times10^{-9}\,s−2\mathrm{s^{-2}} — smaller than the radial tidal magnitude computed above by a factor of nearly six hundred, but not so much smaller that a network aiming to certify the 2:{-1}:{-1} ratio to good precision can skip subtracting it. Left in, it would masquerade as roughly a fifth of one percent of the genuine tidal…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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