The solution of Kepler's equation, I

  title={The solution of Kepler's equation, I},
  author={J. M. Anthony Danby and T. M. Burkardt},
  journal={Celestial mechanics},
Methods of iteration are discussed in relation to Kepler's equation, and various initial ‘guesses’ are considered, with possible strategies for choosing them. Several of these are compared; the method of iteration used in the comparisons has local convergence of the fourth order. 
The solution of Kepler's equation, III
Recently proposed methods of iteration and initial guesses are discussed, including the method of Laguerre-Conway. Tactics for a more refined initial guess for use with universal variables over a
The solution of Kepler's equation, II
Starting values for the iterative solution of Kepler's equation are considered for hyperbolic orbits, and for generalized versions of the equation, including the use of universal variables.
Procedures for solving Kepler's equation
We review starting formulae and iteration processes for the solution of Kepler's equation, and give details of two complete procedures. The first has been in use for a number of years, but the second
Efficiency of Solution Methods for Kepler’s Equation
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Solving Kepler's equation with high efficiency and accuracy
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Kepler's Equation is solved using an integrative algorithm developed using homotropy theory. The solution approach is applicable to both elliptic and hyperbolic forms of Kepler's Equation. The
The solution of the generalized Kepler's equation
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Appropriate Starter for Solving the Kepler's Equation
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