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Published equation contexts

I∗=CMR2I^{*} = \frac{C}{MR^{2}}

Why this formula appears here

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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MM

Symbol M

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

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

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Published contexts (1)

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I∗=CMR2I^{*} = \frac{C}{MR^{2}}

Equation 1 · Planetary Science

How We Know What Is Inside a Planet

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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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