  A steady-state distribution is obtained that approximately yields the
observed plasma density profile of the inner Van Allen radiation belt. The
model assumes a collisionless, magnetized plasma with zero electric field
present. The inner Van Allen belt consists of a plasma comprising high-energy
protons and relativistic electrons. The particle trajectories are obtained from
the collisionless Lorentz Force equation for different initial distributions.
The resulting steady-state distributions obtained after particles lost to the
loss cone are eliminated and are used to generate the density profile. The
distribution's dependence on energy and magnetic moment is adjusted to make the
density profile agree with observations. For a distribution that is a function
of energy times a function of magnetic moment, the calculation leads to the
desired type of density profile. The kinetic distribution and the type of
density profile obtained are presented.
