  SR-POEM is a Galilean test of the weak equivalence principle(WEP) that aims
to measure the fractional acceleration difference $\eta$ with a mission
uncertainty $\sigma(\eta)=1\times 10^{-17}$for a pair of test substances. It is
to be conducted during the low-drag free fall portion of a sounding rocket
flight. The interaction of the magnetic field gradient with tiny remanent
magnetic moment of the test masses (TMs) will produce a spurious acceleration
that is not sufficiently reduced by a single Mu-metal shield. In this paper, we
study configurations with two and three shields. Approximate analytic formulae
are used to study the shielding factor as a function of geometry. We use finite
element analysis (FEA) to determine the magnetic field and gradient for certain
cases that fit the mission requirements. FEA results are compared with analytic
expressions wherever appropriate. Several configurations reduce both axial and
transverse magnetic field by at least the required factor of $4\times 10^5$.
