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A programming system for analytical series expansions on a computer

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Abstract

A programming system is described for the manipulation of Poisson series on a computer. The general structure is described together with the most important individual subroutines. The system exists in two versions, one with 3 angular and 3 polynomial variables and the other with twice as many variables. The programming has been done first in FORTRAN IV, but the most crucial subroutines have been rewritten in machine language for more efficiency. The storage mechanism is such that obsolete series can be erased from the main memory in order to make room for new series to be created.

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This paper presents the results of one phase of research carried out at the Jet Propulsion Laboratory, California Institute of Technology, under Contract No. NAS 7-100, sponsored by the National Aeronautics and Space Administration.

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Broucke, R., Garthwaite, K. A programming system for analytical series expansions on a computer. Celestial Mechanics 1, 271–284 (1969). https://doi.org/10.1007/BF01228844

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  • DOI: https://doi.org/10.1007/BF01228844

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