Data from the rocket campaigns MARIE and TOPAZ III, within regions of
low-altitude transversely accelerated ions, are interpreted to explain
the acceleration of the ions. Using the Monte Carlo kinetic technique
to evaluate the ion heating produced by the simultaneously observed l
ower hybrid waves, we fin; that their observed electric field amplitud
es are sufficient to explain the observed ion energies in the MARIE ev
ent. Much of the uncertainty in evaluating the efficiency of a plasma
wave induced particle heating process which is dependent on a velocity
resonance comes from the lack of information on the phase velocities
of the waves. In the case of the MARIE observations, our modeling effo
rts show that features in the ion velocity distribution are consistent
with the wave phase velocities inferred from interferometer measureme
nts of wavelengths. The lower hybrid waves with which low-altitude tra
nsversely accelerated ions are associated are frequently observed to b
e concentrated in small-scale wave packets called ''spikelets''. We de
monstrate through the scaling of the sizes of these wave packets that
they are consistent with the theory of lower hybrid collapse. Using th
e Monte Carlo technique, we find that if the lower hybrid field energy
is concentrated in these wave packets, it is still adequate to accele
rate the ionospheric ions to the observed energies.