Expansion of the planetary disturbing function View Full Text


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Article Info

DATE

1971-12

AUTHORS

R. Broucke, G. Smith

ABSTRACT

Some methods are described for the expansion of the disturbing function in planetary theory. One method uses the classical binomial expansion theorem or a successive approximation process derived from it. Another method is a direct application of the Laplace series expansions. For both methods it is proposed to first prepare the series to be manipulated by a scaling operation. These methods can be applied either in a literal or in a numerical form, or any combination of both, but they are especially designed for use on a large scale digital computer with standard Poisson series programs. No usage is made of Newcomb operators or derivatives of Laplace coefficients. More... »

PAGES

490-499

References to SciGraph publications

  • 1970-03. How to assemble a Keplerian processor in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1969-06. A programming system for analytical series expansions on a computer in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01231405

    DOI

    http://dx.doi.org/10.1007/bf01231405

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1040192209


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