Classical Cepheids, like binary stars, are laboratories for stellar evolution
and Cepheids in binary systems are especially powerful ones. About one-third of
Galactic Cepheids are known to have companions and Cepheids in eclipsing binary
systems have recently been discovered in the Large Magellanic Cloud. However,
there are no known Galactic binary Cepheids with orbital periods less than one
year. We compute population synthesis models of binary Cepheids to compare to
the observed period and eccentricity distributions of Galactic Cepheids as well
as to the number of observed eclipsing binary Cepheids in the LMC. We find that
our population synthesis models are consistent with observed binary properties
of Cepheids. Furthermore, we show that binary interaction on the red giant
branch prevents some red giant stars from becoming classical Cepheids. Such
interactions suggest that the binary fraction of Cepheids should be
significantly less than that of their main-sequence progenitors, and that
almost all binary Cepheids have orbital periods longer than one year. If the
Galactic Cepheid spectroscopic binary fraction is about 35%, then the
spectroscopic binary fraction of their intermediate mass main sequence
progenitors is about 40-45%.Comment: 7 pages, 3 figures, resubmitted to A&