  We study the motion of photons in the background of a three-dimensional
rotating Ho\v{r}ava AdS black hole that corresponds to a Lorentz-violating
version of the BTZ black hole and we analyze the effect of the breaking of
Lorentz invariance on the null geodesics structure, by solving analytically the
equations of motion. Mainly we find that, through a fine tuning of the
parameters of the theory, new kinds of orbits are allowed, such as unstable
circular orbits and trajectories of first kind. Also, we show that an external
observer will see that photons arrive at spatial infinity in a finite
coordinate time.
