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Equation 1 · Part 4 · How We Know What Is Inside a Planet

Symbol R^2

I∗=CMR2I^{*} = \frac{C}{MR^{2}}
R2R^{2}

What this part means

The square of R: multiply R by itself.

Its job in the formula

R2R^2 occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

The passage around this formula

The fourth quantity is the one that does real work. The polar moment of inertia, normalised by mass and radius, is I∗=CMR2I^{*} = \frac{C}{MR^{2}}. and it measures how mass is distributed radially rather than how much there is. A uniform sphere has I∗I^{*} = 0.4 . Anything smaller means mass concentrated toward the centre; anything approaching 0.4 means a body that is close to uniform in density, which for a rocky planet means undifferentiated.

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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 article section

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