The Computation of Tables of Hansen Coefficients

Details The Computation of Tables of Hansen Coefficients The Computation of Tables of Hansen Coefficients

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..25..101h&link_type=abstract

Celestial Mechanics, Volume 25, Issue 1, pp.101-107

Statistics

Computation

17

Scientific paper

Computer produced tables of analytical expressions for the Hansen coefficientsX {0/ n, ±m }(e) andX {0/-(n+1), ±m }(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 {k/ n, ±m } andX {k/-(n+1), ±m } 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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