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Equation 7 · Part 1 · From Origins to Frontier: A History of Planetary Science and Exploration

Symbol r

rr
rr

What this part means

non-trivial), and a mantle viscosity η\eta low enough (i.

Its job in the formula

r is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

This is a first-order model, not a complete theory of core formation — real planetary interiors involve diapirism, iron rain, and turbulent entrainment rather than single isolated blobs — but it exposes the essential dependency: differentiation requires a large enough density contrast, a large enough body (so gravity g and blob size r are non-trivial), and a mantle viscosity η\eta low enough (i.

The passage around this formula

…iron rain, and turbulent entrainment rather than single isolated blobs — but it exposes the essential dependency: differentiation requires a large enough density contrast, a large enough body (so gravity g and blob size r are non-trivial), and a mantle viscosity η\eta low enough (i.e., hot enough) for sinking to complete within the age of the solar system. This is exactly why small, cold bodies — many asteroids among them — never fully differentiated and instead preserve primitive, unprocessed material from the…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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