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Literal expressions for the co-ordinates of the moon

I. The First Degree Terms

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Abstract

This paper describes a method for finding literal expressions for the first order terms in the Moon's co-ordinates. The method is based on the use of rectangular co-ordinates and was originally proposed by Euler. The variation curve and the terms dependent on the first power of the Lunar eccentricity have been obtained. These results are compared with those of Hill and a number of errors in Hill's results have been found.

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Authors and Affiliations

  1. Computer Laboratory, Cambridge, England

    S. R. Bourne

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  1. S. R. Bourne
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Bourne, S.R. Literal expressions for the co-ordinates of the moon. Celestial Mechanics 6, 167–186 (1972). https://doi.org/10.1007/BF01227779

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  • DOI: https://doi.org/10.1007/BF01227779

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