  We present a novel eccentricity parameterization for transit-only fits that
allows us to efficiently sample the eccentricity and argument of periastron,
while being able to generate a self-consistent model of a planet in a Keplerian
orbit around its host star. With simulated fits of 330 randomly generated
systems, we demonstrate that typical parameterizations often lead to inaccurate
and overly precise determinations of the planetary eccentricity. However, our
proposed parameterization allows us to accurately -- and often precisely --
recover the eccentricity for the simulated planetary systems with only transit
data available.
