We describe the first in situ search for Jovian X radiation with a ded
icated X ray instrument. Upper limits to Jupiter's X my power in the 2
7-48 keV range are presented using data taken by the gamma my burst ex
periment on the inbound Ulysses trajectory, at distances between 163 a
nd 110 R(J). The data were analyzed using three methods for detection
of (1) a steady flux, (2) a flux linked to System III rotation, and (3
) a sporadic flux. The 3sigma upper limits lie between 1.1 x 10(8) and
5.6 x 10(8) W. The results are consistent with the idea that the bulk
of the Jovian UV auroral emissions are due to energetic electrons, wh
ile the previously observed low-energy X radiation is due to ion preci
pitation.