Expansion of the Planetary Disturbing Function

Details Expansion of the Planetary Disturbing Function Expansion of the Planetary Disturbing Function

Dec 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cemec...4..490b&link_type=abstract

Celestial Mechanics, Volume 4, Issue 3-4, pp. 490-499

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13

Scientific paper

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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