We report weak-coupling numerical calculations of the order parameter
and the free energy of isolated vortices in superfluid He-3 in the fra
mework of the quasiclassical theory of superfluid Fermi-liquids. Unlik
e earlier work with the Ginzburg-Landau theory, our results are not re
stricted to the vicinity of T(c). We show that Fermi-liquid effects pl
ay an important role at lower temperatures. It appears there is a tran
sition from the double core vortex to an A-phase-core vortex at the va
por pressure just above 0.5T(c).