Expansion of the planetary disturbing function |
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| Authors: | R Broucke G Smith |
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| Institution: | (1) School of Engineering and Applied Science, University of California, Los Angeles, Calif., USA;(2) Present address: Jet Propulsion Laboratory, Pasadena, California |
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| 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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