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A simple, efficient starting value for the iterative solution of Kepler's equation

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Abstract

A simple starting value for the iterative solution of Kepler's equation in the elliptic case is presented. This value is then compared against five other starting values for 3750 test cases. In addition, bounds are given for the solution of Kepler's equation.

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Smith, G.R. A simple, efficient starting value for the iterative solution of Kepler's equation. Celestial Mechanics 19, 163–166 (1979). https://doi.org/10.1007/BF01796088

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Keywords

  • Iterative Solution
  • Elliptic Case
  • Simple Starting