7.7k citations · 7.9k across the 21 of their papers we have counts for
6 papers · 1 filter
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…
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…
Reliable event detection for Taylor methods in astrodynamics
Francesco Biscani, Dario Izzo
We present a novel approach for the detection of events in systems of ordinary differential equations. The new method combines the unique features of Taylor integrators with state-…
Revisiting high-order Taylor methods for astrodynamics and celestial mechanics
Francesco Biscani, Dario Izzo
We present heyoka, a new, modern and general-purpose implementation of Taylor's integration method for the numerical solution of ordinary differential equations. Detailed numerical…
On the astrodynamics applications of Weierstrass elliptic and related functions
Dario Izzo, Francesco Biscani
Weierstrass elliptic and related functions have been recently shown to enable analytical explicit solutions to classical problems in astrodynamics. These include the constant radia…
A complete and explicit solution to the three-dimensional problem of two fixed centres
Francesco Biscani, Dario Izzo
We present for the first time an explicit, complete and closed-form solution to the three-dimensional problem of two fixed centres, based on Weierstrass elliptic and related functi…