The target system envisioned for a Muon Collider/
Neutrino Factory  features a liquid Hg jet target
immersed in a 20-T solenoidal field. Field quality limits
intercoil gaps to ≈ 40% of the O.D. of the flanking coils.
Longitudinal sag of the tungsten shielding vessels limits
their length to ≈ 7 m. Support members adequate to resist
intercryostat axial forces require an aggregate cross section of ≈ 0.1 m2; the cryogenic heat leakage may be large. The innermost shielding vessel wall can be adequately cooled by heliumgas only if its pressure is ≈ 10 atm and its velocity is ≈ 200 m/s. However, the analysis in this paper found none of these engineering challenges to be insurmountable.