Crafting Accurate Orbits: Simplifying the Path to Keplerian Elements

Flores and Fantino propose a branchless algorithm (AL3) to improve the accuracy and efficiency of converting spacecraft trajectories into Keplerian orbital elements. By eliminating branching and using the ATAN2 function, their method enhances precision by up to 100 times and reduces computational time by 43%. For systems with limited capabilities, a hybrid approach (AL5) balances performance and simplicity, making these advancements crucial for modern satellite navigation and orbit optimization.