  We extend the Kerr-Schild double copy to the case of a probe particle moving
in the Kerr-Schild background. In particular, we solve Wong's equations for a
test color charge in a Coulomb non-Abelian potential ($\sqrt{\text{Schw}}$) and
on the equatorial plane for the potential generated by a rotating disk of
charge known as the single copy of the $\text{Kerr}$ background
($\sqrt{\text{Kerr}}$). The orbits, as the corresponding geodesics on the
gravity side, feature elliptic, circular, hyperbolic and plunge behaviour for
the charged particle. We then find a new double copy map between the conserved
charges on the gauge theory side and the gravity side, which enables us to
fully recover geodesic equations for Schwarzschild and Kerr. Interestingly, the
map works naturally for both bound and unbound orbits.
