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Equation 5 · Part 6 · From Origins to Frontier: A History of Planetary Science and Exploration

Symbol eta

v=2gr2(ρm−ρs)9ηv = \frac{2 g r^2 (\rho_m - \rho_s)}{9\eta}
η\eta

What this part means

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

Its job in the formula

eta 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

…over geological time. The basic settling physics is captured by a Stokes-law sinking velocity for a dense blob of radius r and density ρm\rho_m moving through a less dense, viscous mantle of density ρs\rho_s and viscosity η\eta : v=2gr2(ρm−ρs)9ηv = \frac{2 g r^2 (\rho_m - \rho_s)}{9\eta}. 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…

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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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