Statistics – Computation
Scientific paper
Jun 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979p%26ss...27..739l&link_type=abstract
Planetary and Space Science, vol. 27, June 1979, p. 739-751. Research supported by the National Research Council of Canada.
Statistics
Computation
2
Flow Velocity, Gas Dynamics, Planetary Atmospheres, Velocity Distribution, Distribution Functions, Escape, Helium, Hydrogen, Rates (Per Time)
Scientific paper
The velocity distribution function of a minor gaseous constituent escaping from a planetary atmosphere is perturbed from the equilibrium Maxwell-Boltzmann distribution function. There is a depletion in the high energy portion of the distribution function. The escape flux is consequently somewhat less than the Jeans flux obtained assuming complete equilibrium. The non-Maxwellian velocity distribution function for an escaping constituent is calculated with a Boltzmann equation modified by the addition of an isotropic sink term. A discrete ordinate method which requires little computational time is employed in the solution of the Boltzmann equation. The corrections to the Jeans flux calculated in this way are compared with the results obtained with the Monte-Carlo techniques. The corrections for the escape of H and He from earth, H from Mars and H2 from Titan are calculated. The reductions in the Jeans flux are largest for a light escaping gas and for small escape parameters. This effect is also studied for the escape of H from earth.
Lindenfield M. J.
Shizgal Bernie
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