  We investigate the impact of peculiar velocity effects due to the motion of
the solar system relative to the microwave background (CMB) on high resolution
CMB experiments. It is well known that on the largest angular scales the
combined effects of Doppler shifts and aberration are important; the lowest
Legendre multipoles of total intensity receive power from the large CMB
monopole in transforming from the CMB frame. On small angular scales aberration
dominates and is shown here to lead to significant distortions of the total
intensity and polarization multipoles in transforming from the rest frame of
the CMB to the frame of the solar system. We provide convenient analytic
results for the distortions as series expansions in the relative velocity of
the two frames, but at the highest resolutions a numerical quadrature is
required. Although many of the high resolution multipoles themselves are
severely distorted by the frame transformations, we show that their statistical
properties distort by only an insignificant amount. Therefore, cosmological
parameter estimation is insensitive to the transformation from the CMB frame
(where theoretical predictions are calculated) to the rest frame of the
experiment.
