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Expansion of the planetary mutual distance raised to any negative power by the method of symbolic differential operators

โœ Scribed by Osman M. Kamel


Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
269 KB
Volume
74
Category
Article
ISSN
1573-0794

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โœฆ Synopsis


We present a literal approach to evaluate ApS necessary for the construction of high order planetary theories. This approach is valid to be applied on very large scale digital computers with standard Poisson series programs, for high order and high degree planetary theories. We apply the method of symbolic diffcrcntial operators for single variable functions, and the binomial theorem expansions, for the evaluation of A-'. We utilize Laplace coefficients and its derivatives to carry out the development, without dealing with Newcomb operators or Hansen's coefficients.


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