An Analytic Solution for Density Distribution in a Planetary Exosphere.

Details An Analytic Solution for Density Distribution in a Planetary Exosphere. An Analytic Solution for Density Distribution in a Planetary Exosphere.

Mar 1963

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1963jats...20...69s&link_type=abstract

Journal of Atmospheric Sciences, vol. 20, Issue 2, pp.69-72

Physics

1

Scientific paper

An analytical expression (r)=N0[e(1R/r)E(1R2/r2)e(rE/r+R)], where E is a temperature dependent parameter and R is the radius of the base of exosphere, is derived for the density distribution in a planetary exosphere. The difference between this distribution and the barometric (Boltzmann) formula is small near the base of the exosphere but becomes significant at large r; at r= the barometric formula gives a finite density where our distribution tends to zero. It is shown that according to a strict collisionless exosphere model the particles in the velocity space are confined in a region bounded by a hyperbola and a quarter circle. Outside this region there are no particles; inside, they are distributed by a Maxwellian law. The physical significance of this difference and its effect on the escape rate are discussed.

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