  We discuss the effects on the CMB, CIB, and thermal SZ effect due to the
peculiar motion of an observer with respect to the CMB rest frame, which
induces boosting effects. We investigate the scientific perspectives opened by
future CMB space missions, focussing on the CORE proposal. The improvements in
sensitivity offered by a mission like CORE, together with its high resolution
over a wide frequency range, will provide a more accurate estimate of the CMB
dipole. The extension of boosting effects to polarization and
cross-correlations will enable a more robust determination of purely
velocity-driven effects that are not degenerate with the intrinsic CMB dipole,
allowing us to achieve a S/N ratio of 13; this improves on the Planck detection
and essentially equals that of an ideal cosmic-variance-limited experiment up
to a multipole l of 2000. Precise inter-frequency calibration will offer the
opportunity to constrain or even detect CMB spectral distortions, particularly
from the cosmological reionization, because of the frequency dependence of the
dipole spectrum, without resorting to precise absolute calibration. The
expected improvement with respect to COBE-FIRAS in the recovery of distortion
parameters (in principle, a factor of several hundred for an ideal experiment
with the CORE configuration) ranges from a factor of several up to about 50,
depending on the quality of foreground removal and relative calibration. Even
for 1% accuracy in both foreground removal and relative calibration at an
angular scale of 1 deg, we find that dipole analyses for a mission like CORE
will be able to improve the recovery of the CIB spectrum amplitude by a factor
of 17 in comparison with current results based on FIRAS. In addition to the
scientific potential of a mission like CORE for these analyses, synergies with
other planned and ongoing projects are also discussed.
