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Peculiar Velocity and Deaberration of the Sky

Recent studies have found the earth's peculiar velocity to be significant in microwave-background-based tests for compact cosmic topology, and modifications to these tests have been proposed. Tests of non-Gaussianity, weak-lensing analysis, and new tests using improved cosmic microwave background (CMB) data will also be sensitive to peculiar velocity. We propose here to simplify matters by showing how to construct a deaberrated CMB map to which any test requiring a Hubble flow view point can be applied without further complication. In a similar manner, deaberration can also be applied to object surveys used, for example, in topological searches and matter distribution analysis. In particular, we have produced a revised list of objects with z > 1.0 using the NASA/IPAC Extragalactic Database.