Dynamics of Molecular Retention in Planetary and Satellite Atmospheres

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

Jeans analysis of planetary and satellite atmospheric thermal evaporation based on the classical kinetic theory of gases implied his rule that molecular retention occurs on the order of billions of years when Vescape exceeds Vrms by a factor F with 6 < F < 10. This rule is still in use.
It is shown here that an improved most probable speed distribution analysis predicts its termination at a speed given by Vo = Fo Vrms where Fo = (2/3 Log[N])1/2, Log is the natural log and N is the total number of molecules in the atmosphere. Fo values for Venus through Neptune and for Pluto, Titan and Triton are all on the order of 8 in agreement with the rule. This result agrees well with a microcanonical analysis.

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