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}
}
  • M. Zechmeister
  • Published 21 August 2018
  • Physics, Computer Science
  • arXiv: Instrumentation and Methods for Astrophysics
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… 

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