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The hyperbolic Kepler equation (and the elliptic equation revisited)

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Abstract

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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Authors and Affiliations

  1. Royal Aerospace Establishment, Farnborough, Hants, England

    R. H. Gooding & A. W. Odell

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  1. R. H. Gooding
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  2. A. W. Odell
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Gooding, R.H., Odell, A.W. The hyperbolic Kepler equation (and the elliptic equation revisited). Celestial Mechanics 44, 267–282 (1988). https://doi.org/10.1007/BF01235540

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  • DOI: https://doi.org/10.1007/BF01235540

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