Muon spin rotation (mu SR) measurements of the temperature dependence of th
e mu(+) Knight shift in single crystals of U0.965Th0.035Be13 have been used
to study the static spin susceptibility chi(s) below the transition temper
atures T-c1 and T-c2. While an abrupt reduction of chi(s) with decreasing t
emperature is observed below T-c1, chi(s) does not change below T-c2 sind r
emains at a value below the normal-state susceptibility chi(n). In the norm
al state we find an anomalous anisotropic temperature dependence of the tra
nsferred hyperfine coupling between the mu(+) spin and the U 5f electrons.