Kepler Equation solver

  title={Kepler Equation solver},
  author={F. Landis Markley},
  journal={Celestial Mechanics and Dynamical Astronomy},
  • F. Markley
  • Published 1 May 1995
  • Computer Science
  • Celestial Mechanics and Dynamical Astronomy
Kepler's Equation is solved over the entire range of elliptic motion by a fifth-order refinement of the solution of a cubic equation. This method is not iterative, and requires only four transcendental function evaluations: a square root, a cube root, and two trigonometric functions. The maximum relative error of the algorithm is less than one part in 1018, exceeding the capability of double-precision computer arithmetic. Roundoff errors in double-precision implementation of the algorithm are… 
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