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Equation 151 · Part 1 · The Bend an Elevator Cannot Fake

Symbol Omega^2

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

What this part means

Omega2a^2 is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.

Its job in the formula

Omega2a^2 is squared: multiply the underlying quantity by itself. The square is a mathematical operation, not a second independent variable.

The passage around this formula

…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…

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Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

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Sources cited in the surrounding passage

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