A Fast Procedure Solving Gauss' Form of Kepler's Equation |
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| Authors: | Toshio Fukushima |
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| Institution: | (1) National Astronomical Observatory, 2-21-1, Ohsawa, Mitaka, Tokyo 181, Japan |
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| 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | Gauss' method Kepler's equation nearly parabolic orbit |
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