Abstract
We developed a procedure solving Gauss' form of Kepler's equation, which is suitable for determining position in the nearly parabolic orbits. The procedure is based on the combination of asymptotic solutions, the method of bisection, and the Newton method of succesive correction. It runs 3–4 times faster than the original Gauss' method.
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Fukushima, T. A Fast Procedure Solving Gauss' Form of Kepler's Equation. Celestial Mechanics and Dynamical Astronomy 70, 115–130 (1998). https://doi.org/10.1023/A:1026479306748
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DOI: https://doi.org/10.1023/A:1026479306748