Alessandro Masat has presented part of his research work at the 2022 AIAA SciTech Forum and Exposition held in San Diego (CA), USA. He gave a talk on how GPU computing technologies can enable fast propagations of large sets of initial condition using the Picard-Chebyshev fixed point integration scheme, on a trajectory design and optimisation application. The key feature to enable excellent compute performance has been to augment the dynamical system to host all the trajectories to be propagated, so that the massive parallelism enabled by the renewed setup could exploit GPU computing at the fullest.