A Fast and Accurate Universal Kepler Solver without Stumpff Series

TL;DR

This paper introduces a new universal Kepler solver that is both faster and more accurate than existing methods based on Stumpff series, improving computational efficiency in orbital mechanics.

Contribution

The paper presents a novel Kepler solver that avoids Stumpff series, offering enhanced speed and accuracy for solving Keplerian motion.

Findings

Outperforms Stumpff series-based methods in speed

Provides higher accuracy in initial value problem solutions

Simplifies computations in orbital mechanics

Abstract

We derive and present a fast and accurate solution of the initial value problem for Keplerian motion in universal variables that does not use the Stumpff series. We find that it performs better than methods based on the Stumpff series.