Equation for Retaining Atmosphere<......

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Equation for Retaining Atmosphere

Back (Answer)

Potential energy of two masses due to gravity = Ep = -GMm / r

Knetic Energy = E_k = 1/2mv²

Etotal = Ek + Ep = 0

Vesc = √ 2GM / R

Average kinetic enregy of particles 1/2mv² = 3kT/2

Mean velocity for particles in a gas = v _adv = √ 3kT / m

set them equal - to retain v_ese > 6v_adv

The temperature in turn depends on

Insolation (heating by Sun)
Heating by internal sources

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