Fast Procedure Solving Universal Kepler's Equation

  title={Fast Procedure Solving Universal Kepler's Equation},
  author={Toshio Fukushima},
  journal={Celestial Mechanics and Dynamical Astronomy},
  • T. Fukushima
  • Published 1 November 1999
  • Physics
  • Celestial Mechanics and Dynamical Astronomy
We developed a procedure to solve a modification of the standard form of the universal Kepler’s equation, which is expressed as a nondimensional equation with respect to a nondimensional variable. After reducing the domain of the variable and the argument by using the symmetry and the periodicity of the equation, the method first separates the case where the solution is so small that it is given an inverted series. Second, it separates the cases where the elliptic, parabolic, or hyperbolic… 
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