For the past few years, insects and hummingbirds are inspiring a new generation of drones called Flapping Wing Micro Air Vehicles (FWMAVs). Flapping wings show excellent aerodynamic performance, adapt to very different wind conditions and allow unmatched aerobic maneuvers. These features could be valuable for flapping drones in various applications including rescue, military and civil missions. In the design of optimal flapping motions, simplified simulation tools are often used. Quasi-steady models estimate the aerodynamic performance of the wings and 6 degrees of freedom equations predict the resulting motion of the drone. While fast, those models result in different trajectories compared to real experiments.