Equation 125 · Part 3 · The Bend an Elevator Cannot Fake
Symbol R^3
What this part means
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol R^3→Article meaning
The passage around this formula
For Earth modelled as a point mass, = -GM/r gives a radial second derivative of magnitude 2GM/ and, since is harmonic in vacuum, transverse second derivatives of magnitude GM/ with the opposite sign — a trace-free tensor in the exact ratio 2:{-1}:{-1} . With the standard gravitational parameter G = 3.98610^{14}\, and mean radius = 6.37110^{6}\, , this gives G/ 1.54110^{-6}\, and a radial magnitude of 3.0810^{-6}\, , matching the standard geodetic free-air gravity gradient of about 3.08610^{-6}\, , or 0.3086 milligal per metre,…
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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