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.
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Broucke, R., Smith, G. Expansion of the planetary disturbing function. Celestial Mechanics 4, 490–499 (1971). https://doi.org/10.1007/BF01231405
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DOI: https://doi.org/10.1007/BF01231405