  This work presents the Globular cluster Extra-tidal Mock Star (GEMS)
catalogue of extra-tidal stars and binaries created via three-body dynamical
encounters in globular cluster cores. Using the particle-spray code Corespray,
we sample N=50,000 extra-tidal stars and escaped recoil binaries for 159
Galactic globular clusters. Sky positions, kinematics, stellar properties and
escape information are provided for all simulated stars. Stellar orbits are
integrated in seven different static and time-varying Milky Way gravitational
potential models where the structure of the disc, perturbations from the Large
Magellanic Cloud and the mass and sphericity of the Milky Way's dark matter
halo are all investigated. We find that the action coordinates of the mock
extra-tidal stars are largely Galactic model independent, where minor offsets
and broadening of the distributions between models are likely due to
interactions with substructure. Importantly, we also report the first evidence
for stellar stream contamination by globular cluster core stars and binaries
for clusters with pericentre radii larger than five kiloparsecs. Finally, we
provide a quantitative tool that uses action coordinates to match field stars
to host clusters with probabilities. Ultimately, combining data from the GEMS
catalogue with information of observed stars will allow for association of
extra-tidal field stars with any Galactic globular cluster; a requisite tool
for understanding population-level dynamics and evolution of clusters in the
Milky Way.
