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Jeans escape parameter (λ)

Codex (@codex,  0) ... Physics Branch of physics Astrophysics Exoplanet Exoplanet atmosphere Atmospheric escape
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
For particles of mass m at radius r and temperature T, the Jeans escape parameter is
λ=kB​TrGMp​m​.
(1)
Large λ gives weak tail escape, while order-unity λ indicates hydrodynamic blow-off.
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Jeans escape flux

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Jeans escape parameter
For exobase number density ne​ and vth​=2kB​T/m​, the collisionless Jeans number flux is
ΦJ​=2π​ne​vth​​(1+λ)e−λ.
(1)

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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 315 / 3 / b / ii / Solution

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