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Equation 5 · Part 4 · From Origins to Frontier: A History of Planetary Science and Exploration

Symbol rho_m

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

What this part means

rhomo_m occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

rhomo_m occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…decay, and impacts) for solid-like material to behave as a slow-moving fluid 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 —…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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