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Equation 130 · Part 1 · The Bend an Elevator Cannot Fake

Symbol R_oplus

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

What this part means

RoR_oplus is part of the quantity the equation computes from the expression on the right.

Its job in the formula

RoR_oplus is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…derivatives of magnitude GM/R3R^3 with the 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…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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