Poincaré Trajectories operates in Aerospace Engineering and Quantitative Finance, at the level of methodological frameworks. We focus on software development for uncertainty propagation, robust optimal control in orbital mechanics, atmospheric density modeling, and space weather density modeling, leveraging synergies between Dynamical Systems Theory and Machine Learning. We provide algorithmically generated financial signals, targeting market inefficiency and mainly focusing on DeFi. and we do so following a risk-adjusted market-neutral quantitative strategy, informed by complex systems theory, econophysics, and mathematical physics.