# Solving Kepler's equation CORDIC-like

@article{Zechmeister2018SolvingKE, title={Solving Kepler's equation CORDIC-like}, author={Mathias Zechmeister}, journal={arXiv: Instrumentation and Methods for Astrophysics}, year={2018} }

Context. Many algorithms to solve Kepler's equations require the evaluation of trigonometric or root functions.
Aims. We present an algorithm to compute the eccentric anomaly and even its cosine and sine terms without usage of other transcendental functions at run-time. With slight modifications it is applicable for the hyperbolic case, too.
Methods. Based on the idea of CORDIC, it requires only additions and multiplications and a short table. The table is independent of eccentricity and can…

## 8 Citations

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In a recent MNRAS article, Raposo-Pulido and Pelaez (RPP) designed a scheme for obtaining very close seeds for solving the elliptic Kepler equation with the classical and modified Newton–Raphson…

True Masses of the Long-period Companions to HD 92987 and HD 221420 from Hipparcos–Gaia Astrometry

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The extensive time span of modern radial velocity surveys has made the discovery of long-period substellar companions more common in recent years; however, measuring the true masses of these objects…

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The new shift-and-add algorithm brings Kepler's equation close to hardware and allows to solve it with cheap and simple hardware components.

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