A Fast and Accurate Universal Kepler Solver without Stumpff Series

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.Comment: 10 pages, 7 figures. Accepted by MNRAS, resubmitted because of a typo in the title, added author affiliation