We construct the rst realistic map of deections of ultra-high energy cosmic rays by extragalactic mag-netic elds, using a magneto-hydrodynamical simula-tion of cosmic structure formation that reproduces the positions of known galaxy clusters in the local uni-verse. Large deection angles occur in cluster regions, which however cover only an insignicant fraction of the sky. More typical deections of order 1 are caused by crossings of laments. For protons with en-ergies 4 10 eV, deections do not exceed a few degrees over most of the sky up to a propagation dis-tance of 500 Mpc. Given that the eld strength of our simulated intergalactic magnetic eld forms a plausi-ble upper limit, we conclude that charged particle as-tronomy is in principle possible.
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