The ATHENA and ATRAP collaborations have recently created large numbers of untrapped anti‐hydrogen atoms. The most commonly suggested scheme for trapping the anti‐hydrogen is to use a Minimum‐B trap. Unfortunately, the Minimum‐B fields are very likely to destroy the confinement of the anti‐hydrogen constituents; the positrons and anti‐protons, which are themselves held in double‐well Penning‐Malmberg traps. The reasons for the loss of confinement, and modifications to the Minimum‐B trap that may alleviate this problem, are discussed in this paper. © 2003 American Institute of Physics