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Equation 130 · Part 2 · The Bend an Elevator Cannot Fake

Symbol m

R⊕=6.371×106 mR_\oplus = 6.371\times10^{6}\,\mathrm m
mm

What this part means

m is an input to the expression that computes the quantity on the left.

Its job in the formula

m is an input to the expression that computes the quantity on the left.

The passage around this formula

…opposite sign — a trace-free tensor in the exact ratio 2:{-1}:{-1} . With the standard gravitational parameter GM⊕M_\oplus = 3.986×\times10^{14}\,m3 s−2\mathrm{m^3\,s^{-2}} and mean radius R⊕R_\oplus = 6.371×\times10^{6}\,m\mathrm m , this gives GM⊕M_\oplus/R⊕3R_\oplus^3 ≈\approx 1.541×\times10^{-6}\,s−2\mathrm{s^{-2}} and a radial magnitude of 3.08×\times10^{-6}\,s−2\mathrm{s^{-2}} , matching the standard geodetic free-air gravity gradient of about 3.086×\times10^{-6}\,s−2\mathrm{s^{-2}} , or 0.3086 milligal per metre, to three figures [ 15…

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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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