  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 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
viewpoint 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.
