Construction of Newcomb Operators on a Digital Computer

Details Construction of Newcomb Operators on a Digital Computer Construction of Newcomb Operators on a Digital Computer

Jan 1964

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1964saosr.140.....i&link_type=abstract

SAO Special Report #140 (1964)

Computer Science

Programming Languages

13

Scientific paper

This paper reports a joint investigation by SAO and the MIT Cooperative Computing Center into the possibility of using a digital computer for the complex algebraic manipulations that lead to the analytical development of the planetary disturbing function. The paper is organized in four parts: (1) a brief exposition of the development of this function, based on the use of Newcomb operators, adopted because of the need for a simple formulation of the problem that could be coded in available programming languages; (2) a generalization of the Newcomb operators introduced here in connection with the problem of near commensurabilities in the restricted three-body problem; (3) a description of the IBM 709 program used to produce Newcomb operators relating to the mean anomaly of the inner planet up to the 12th degree in the orbital eccentricity; and (4) the results, in polynomial form, obtained by means of a photocomposition technique. The material for the first two parts was prepared at SAO; the rest, at MIT.

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