CORDIC-like method for solving Kepler’s equation

@article{Zechmeister2018CORDIClikeMF,
  title={CORDIC-like method for solving Kepler’s equation},
  author={Mathias Zechmeister},
  journal={Astronomy \& Astrophysics},
  year={2018}
}
  • M. Zechmeister
  • Published 1 November 2018
  • Computer Science, Physics
  • Astronomy & 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 also applicable for the hyperbolic case. Methods. Based on the idea of CORDIC, our method requires only additions and multiplications and a short table. The table is independent of eccentricity… 
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