6 papers
Probability of collision in nonlinear dynamics by moment propagation
Théo Verhelst, Giacomo Acciarini, Dario Izzo +1
Estimating the probability of collision between spacecraft is crucial for risk management and collision-avoidance strategies. Current methods often rely on Gaussian assumptions and…
EclipseNETs: Learning Irregular Small Celestial Body Silhouettes
Giacomo Acciarini, Dario Izzo, Francesco Biscani
Accurately predicting eclipse events around irregular small bodies is crucial for spacecraft navigation, orbit determination, and spacecraft systems management. This paper introduc…
High-order expansion of Neural Ordinary Differential Equations flows
Dario Izzo, Sebastien Origer, Giacomo Acciarini +1
Artificial neural networks, widely recognised for their role in machine learning, are now transforming the study of ordinary differential equations (ODEs), bridging data-driven mod…
Certifying Guidance & Control Networks: Uncertainty Propagation to an Event Manifold
Sebastien Origer, Dario Izzo, Giacomo Acciarini +4
We perform uncertainty propagation on an event manifold for Guidance & Control Networks (G&CNETs), aiming to enhance the certification tools for neural networks in this field. This…
EclipseNETs: a differentiable description of irregular eclipse conditions
Giacomo Acciarini, Francesco Biscani, Dario Izzo
In the field of spaceflight mechanics and astrodynamics, determining eclipse regions is a frequent and critical challenge. This determination impacts various factors, including the…
NeuralODEs for VLEO simulations: Introducing thermoNET for Thermosphere Modeling
Dario Izzo, Giacomo Acciarini, Francesco Biscani
We introduce a novel neural architecture termed thermoNET, designed to represent thermospheric density in satellite orbital propagation using a reduced amount of differentiable com…