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The computation of tables of Hansen coefficients

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Abstract

Computer produced tables of analytical expressions for the Hansen coefficientsX n, ±m0 (e) andX −(n+1), ±m0 (e) are obtained when 1≤n≤30 and 0≤m≤n. The most important properties of these coefficients are briefly discussed together with a description of the recursive procedures used to compute them.

The computation ofX n, ±mk andX −(n+1), ±mk whenk≠0 is also discussed. Although tables of these coefficients for 1≤n≤30, −n≤m≤n and |m−k|≤12 have been computed they are not presented here due to their inordinate length.

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  1. Department of Astronomy, University of Leicester, Leicester, England

    S. Hughes

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  1. S. Hughes
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Hughes, S. The computation of tables of Hansen coefficients. Celestial Mechanics 25, 101–107 (1981). https://doi.org/10.1007/BF01301812

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  • DOI: https://doi.org/10.1007/BF01301812

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