The numerical solution to the cold electron flow equations is presente
d for the region surrounding an ionospheric satellite at high positive
potential. The momentum, continuity, and Poisson equations are solved
simultaneously for satellite potentials of 1000, 10,000, 30,000, and
100,000 kT (kT = 0.17 eV). The electron velocity vectors in the sheath
region are presented. The electron current density to the satellite s
urface is also reported. Electrons impact the satellite surface with a
verage velocity vectors having angles of incidence (relative to the su
rface normal) that increase from the satellite's magnetic pole to equa
tor. A toroidal flow develops in the vicinity of the magnetic equator
and expands away from the satellite surface as the surface potential i
s increased. The current density to the satellite surface increases wi
th increasing satellite potential and decreases with increasing polar
angle.