Thick and thin models of the middle magnetotail were developed using a
consistent orbit tracing technique, It was found that currents carrie
d near the equator by groups of ions with anisotropic distribution fun
ctions are not well approximated by the guiding center expressions, Th
e guiding center equations fail primarily because the calculated press
ure tensor is not magnetic held aligned, The pressure tensor becomes f
ield aligned as one moves away from the equator, but here there is a s
mall region in which the guiding center equations remain inadequate be
cause the two perpendicular components of the pressure tensor are uneq
ual, The significance of nonguiding center motion to substorm processe
s then was examined. One mechanism that may disrupt a thin cross-tail
current sheet involves field changes that cause ions to begin followin
g chaotic orbits, The lowest-altitude chaotic region, characterized by
an adiabaticity parameter kappa approximate to 0.8, is especially imp
ortant. The average cross-tail particle drift is slow, and we were una
ble to generate a thin current sheet using such ions, Therefore any pr
ocess that tends to create a thin current sheet in a region with kappa
approaching 0.8 may cause the cross-tail current to get so low that i
t becomes insufficient to support the lobes, A different limit may be
important in resonant orbit regions of a thin current sheet because pa
rticles reach a maximum cross-tail drift velocity, If the number of io
ns per unit length decreases as the tail is stretched, this part of th
e plasma sheet also may become unable to carry the cross-tail current
needed to support the lobes. Thin sheets are needed for both resonant
and chaotic orbit mechanisms because the distribution function must be
highly structured, A description of current continuity is included to
show how field aligned currents can evolve during the transition from
a two-dimensional (2-D) to a 3-D configuration.