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Equation 11 · Part 1 · How Planetary Science and Exploration Actually Work

Symbol τ

τ(λ)\tau(\lambda)
τ\tau

What this part means

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

Its job in the formula

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

The passage around this formula

where I0(λ)I_0(\lambda) is the incident spectrum, τ(λ)\tau(\lambda) the wavelength-dependent optical depth, n(z) the number density of an absorbing species at altitude z , and σ(λ,z)\sigma(\lambda, z) its absorption cross-section, which itself depends on temperature and pressure. The instrument records I(λ\lambda) ; the abundance profile n(z) is recovered by inverting this relation against a model atmosphere, which means every composition result carries the assumptions of that model — cloud and haze opacity, temperature structure, and the line-list data used for σ(λ,z)\sigma(\lambda,z) — bundled in with the raw spectral measurement.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the article section

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