  We study the two-dimensional motion of a self-propelling asymmetric bent rod.
By employing slender body theory and the Lorentz reciprocal theorem, we
determine particle trajectories for different geometric configurations and
arbitrary surface activities. Our analysis reveals that all particle
trajectories can be mathematically expressed through the equation for a circle.
The rotational speed of the particle dictates the frequency of the circular
motion and the ratio of translational and rotational speeds describes the
radius of the circular trajectory. We find that even for uniform surface
activity, geometric asymmetry is sufficient to induce a self-propelling motion.
Specifically, for uniform surface activity, we observe (i) when bent rod arm
lengths are equal, the particle only translates, (ii) when the length of one
arm is approximately four times the length of the other arm and the angle
between the arms is approximately {\pi}/2, the rotational and translational
speeds are at their maximum. We explain these trends by comparing the impact of
geometry on the hydrodynamic resistance tensor and the active driving force.
Overall, the results presented here quantify self-propulsion in
composite-slender bodies and motivate future research into self-propulsion of
highly asymmetric particles.
