  In the presence of an electric dipole coupling of $t \bar t$ to a photon, and
an analogous ``weak" dipole coupling to the $Z$, $CP$ violation in the process
$e^+e^- \rightarrow t \bar t$ leads to the polarization of the top and
anti-top. This polarization can be analyzed by studying the energy and angular
distributions of a decay charged lepton (anti-lepton) when the top (anti-top)
decays leptonically. We have obtained analytic expressions for these
distributions when either $t$ or $\overline t$ decays leptonically. We study
two types of simple $CP$-violating angular asymmetries which do not need tof
simple $CP$-violating angular asymmetries which do not need the full
reconstruction of the $t$ or $\bar t$. These together can help to determine the
electric and weak dipole form factors independently. We have also shown how the
use of longitudinal beam polarization can help to do this with only one
asymmetry measurement, and to imprhelp to do this with only one asymmetry
measurement, and to improve the sensitivity.
