Naturally Occurring Continued Fractions in the Variation of Kepler's Equation

Details Naturally Occurring Continued Fractions in the Variation of Kepler's Equation Naturally Occurring Continued Fractions in the Variation of Kepler's Equation

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..42...91s&link_type=abstract

Celestial Mechanics, Volume 42, Issue 1-4, pp. 91-106

Mathematics

Scientific paper

A family of functions involving integrals of universal functions is introduced. These functions have some interesting mathematical properties including the fact that they may be expressed as Gaussian continued fractions. A unique method of performing the integration is demonstrated which indicates why these functions may be important in the variation of Kepler's equation.

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