  Near-Earth asteroid, Kamo'oalewa (469219), is one of a small number of known
quasi-satellites of Earth; it transitions between quasi-satellite and horseshoe
orbital states on centennial timescales, maintaining this dynamics over
megayears. The similarity of its reflectance spectrum to lunar silicates and
its Earth-like orbit both suggest that it originated from the lunar surface.
Here we carry out numerical simulations of the dynamical evolution of particles
launched from different locations on the lunar surface with a range of ejection
velocities in order to assess the hypothesis that Kamo`oalewa originated as a
debris-fragment from a meteoroidal impact with the lunar surface. As these
ejecta escape the Earth-Moon environment, they face a dynamical barrier for
entry into Earth's co-orbital space. However, a small fraction of launch
conditions yields outcomes that are compatible with Kamo`oalewa's orbit. The
most favored conditions are launch velocities slightly above the escape
velocity from the trailing lunar hemisphere.
