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On universal elements, and conversion procedures to and from position and velocity

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Abstract

An element set is advocated that is familiar (in traditional terms), and yet applicable to every type of conic-section orbit without loss of accuracy. It is not free of singularity, but this is not a serious deficiency. Conversion procedures, to and from position and velocity, are outlined, with Fortran-77 listings appended. Tests have indicated that the errors in the pair of procedures are minimal, accuracy being limited only by computer precision and the (fixed) number of iterations used in the Kepler-equation solutions.

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  1. Royal Aerospace Establishment, Farnborough, Hants, England

    R. H. Gooding

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  1. R. H. Gooding
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Gooding, R.H. On universal elements, and conversion procedures to and from position and velocity. Celestial Mechanics 44, 283–298 (1988). https://doi.org/10.1007/BF01235541

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  • DOI: https://doi.org/10.1007/BF01235541

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