Expansions in power series by computer

Details Expansions in power series by computer Expansions in power series by computer

Jul 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..20....3b&link_type=abstract

Celestial Mechanics, vol. 20, July 1979, p. 3-18.

Astronomy and Astrophysics

Astronomy

Celestial Mechanics, Computer Techniques, Power Series, Series Expansion, Astronomical Models, Compilers, Hill Lunar Theory, Kepler Laws, Newton-Raphson Method, Selenology, Taylor Series

Scientific paper

A technique is described whereby power series solutions may be expanded to sets of equations that can be treated formally by a compiler type program. A program suitable for an algebra system is generated that can produce the power series expansions by recurrence relations. Examples are given from celestial mechanics, including the Kepler equation and elliptic expansions, Delaunay's lunar disturbing function, and the Hill equation.

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