An Exercise in Symbolic Programming: Computation of General Normalized Inclination Functions

Statistics – Computation

Scientific paper

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Scientific paper

Computation of the general normalized inclination functionsA k lm(i) defined by R. H. Gooding is studies as an example of a representative problem in symbolic programming applied to celestial mechanics. The performance of three different computing systems (one for general use, one for special-purpose applications in celestial mechanics, and one whose data-structures are intended to adapt themselves to descriptions of special-purpose applications) on the problem is discussed, together with aspects of their operation which are likely to require the user's attention in most such computations. An Appendix contains the values of the functions throughl=6.

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