The Dromo orbital propagator was recently introduced by Peláez et al., and has been under active development. It has proven to be an excellent propagation tool, both in terms of accuracy and computational cost. In this article, we explore its applicability to the solution of optimal control problem in low-thrust missions. To this end, an optimal control formulation based in Dromo and a direct transcription method is used to solve several LEO-GEO and escape from Earth problems; the obtained results clearly show the suitability of this orbital propagator for such purposes.