English

A Fast and Accurate Universal Kepler Solver without Stumpff Series

Instrumentation and Methods for Astrophysics 2017-03-03 v3 Earth and Planetary Astrophysics

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.

Cite

@article{arxiv.1508.02699,
  title  = {A Fast and Accurate Universal Kepler Solver without Stumpff Series},
  author = {Jack Wisdom and David M. Hernandez},
  journal= {arXiv preprint arXiv:1508.02699},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T10:31:27.337Z