The hyperbolic Kepler equation (and the elliptic equation revisited)

Physics

Scientific paper

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Scientific paper

A procedure is developed that, in two iterations, solves the hyperbolic Kepler's equation in a very efficient manner, and to an accuracy that proves to be always better than 10-20 (relative truncation error). Earlier work on the elliptic equation has been extended by the development of a new procedure that solves to a maximum relative error of 10-14.

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