Ulysses is traversing the Sun's polar regions for the first time a yea
r or two before solar minimum. If the heliospheric magnetic field beha
ves as we expect, the heliospheric current sheet (HCS) during this sta
ge of the sunspot cycle should be quite stable and lie nearly flat, cl
ose to the equator. The high latitude solar fields should be unipolar
and nearing their maximum strength. The overlying polar coronal holes
should be well developed, producing a nearly uniform high-speed solar
wind. Because the Sun's polar fields live longer than any other solar
magnetic phenomenon, Ulysses will remain within a single coronal hole
for an extended period and probe its structures in a unique way. Of co
urse everything will almost certainly not turn out to be as quiet and
well-ordered as we expect. We know now that the photospheric field str
ength in the northern polar cap is less than the south. What will this
mean for the solar wind speed and the magnitude of the interplanetary
magnetic field? Solar and coronal observations suggest that the first
magnetic signatures of the next solar cycle may already be emerging a
t high latitudes. Will Ulysses sense these fields ''leaking'' into the
heliosphere or is the interplanetary magnetic structure completely do
minated by the large-scale field as the models currently predict? How
will the sources of variations in field, velocity, density, and compos
ition fit into our conceptual picture? Ulysses' rapid dash from south
to north provides a unique opportunity to determine the latitudinal wi
dth of the equatorial region influenced by the RCS. This rapid change
in latitude over a short interval during which the structure should be
stable, should provide a definitive measurement of the latitudinal gr
adients of various quantities relative to the heliomagnetic equator. I
n the next several years Ulysses will gradually decrease in latitude,
eventually meeting the HCS as it gradually expands away from the equat
or during the rising part of the cycle. It will then race the HCS to t
he poles as maximum approaches. The situation in six years at solar ma
ximum, will be radically different. There will be no unipolar high lat
itude field, the HCS will extend to the poles, existing structures wil
l be less stable, and there will likely even be multiple current sheet
s. Ulysses will have another opportunity to confirm or disprove our un
derstanding of the high latitude heliosphere in a much different envir
onment. The extended mission is essential to advance our understanding
of the heliospheric field at the extremes of the solar cycle.