Improved First Estimates to the Solution of Kepler's Equation
Instrumentation and Methods for Astrophysics
2025-07-02 v3
Abstract
The manuscripts provides a novel starting guess for the solution of Kepler's equation for unknown eccentric anomaly E given the eccentricity e and mean anomaly M of an elliptical orbit.
Keywords
Cite
@article{arxiv.2108.03215,
title = {Improved First Estimates to the Solution of Kepler's Equation},
author = {Richard J. Mathar},
journal= {arXiv preprint arXiv:2108.03215},
year = {2025}
}
Comments
Version 3: evaluates guesses from a Runge-Kutta-Fehlberg integrator of the diff. eq