We have studied the escape of a minor ion from the terrestrial atmosph
ere by outflow along geomagnetic field lines that are open to the inte
rplanetary medium. Coulomb collisions with the background ions are tre
ated rigorously in the Fokker-Planck transport equation which is adopt
ed in the transition region between the collision-dominated low-altitu
de regime (treated by moment equations) and the collisionless regime a
t very high altitudes. Sample solutions are presented for both H+ and
He+ ions in an O+ background. In the transition region and above, the
distribution functions are not well represented by low-order approxima
tions, such as drifting Maxwellian distributions. For He+, while the d
ensities and drift speeds are sensitive to the velocity distribution,
the flux is a robust quantity that depends primarily on the altitude o
f the transition between the region of chemical equilibrium and no cha
rge exchange loss.