Certain properties of d'Alambert functions of celestial mechanics

Details Certain properties of d'Alambert functions of celestial mechanics Certain properties of d'Alambert functions of celestial mechanics

Jan 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979primm..41..870k&link_type=abstract

(Prikladnaia Matematika i Mekhanika, vol. 41, Sept.-Oct. 1977, p. 870-875.) PMM - Journal of Applied Mathematics and Mechanics,

Mathematics

Functional Analysis

Analytic Functions, Celestial Mechanics, Power Series, Convergence, Equations Of Motion, Functional Analysis, Series Expansion

Scientific paper

It is demonstrated that the D'Alembert characteristic of functions of celestial mechanics is a result of holomorphicity of an unbounded region and of some functional relationship. The radius of convergence of the appropriate power series expansions is determined by the dimensions of the region. Estimates are obtained for the general term and the remainder of the appropriate series.

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