2024/11/22 by Kevin J Napier, Napier, Kevin J
Engineering · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Dynamics and Control of Mechanical Systems #Earth and Planetary Astrophysics (astro-ph.EP) #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Mechanical Engineering and Vibrations Research
paper · pdf · doi:10.48550/arxiv.2411.15374
openalex publication_date 2024/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Numerical solutions of Kepler's Equation are critical components of celestial mechanics software, and are often computation hot spots. This work uses symbolic regression and a genetic learning algorithm to find new initial guesses for iterative Kepler solvers for both elliptical and hyperbolic orbits. The new initial guesses are simple to implement, and result in modest speed improvements for elliptical orbits, and major speed improvements for hyperbolic orbits.