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Equation 1 · Part 5 · How We Know What Is Inside a Planet

=

I∗=CMR2I^{*} = \frac{C}{MR^{2}}
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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 equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.