An efficient code to solve the Kepler equation. Elliptic case

  title={An efficient code to solve the Kepler equation. Elliptic case},
  author={Virginia Raposo-Pulido and Jes{\'u}s Pel{\'a}ez},
  journal={Monthly Notices of the Royal Astronomical Society},
A new approach for solving Kepler equation for elliptical orbits is developed in this paper. This new approach takes advantage of the very good behaviour of the modified Newton?Raphson method when the initial seed is close to the looked for solution. To determine a good initial seed the eccentric anomaly domain [0, ?] is discretized in several intervals and for each one of these intervals a fifth degree interpolating polynomial is introduced. The six coefficients of the polynomial are obtained… 
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