Abstract
A power series solution is proposed for Hill's Problem considered as an approximation of the Main Problem of Lunar Theory. Terms up to degree 28 in the parameterm (the ratio of mean motions) are considered. This solution is intended to be the stepping stone for a solution of the Main Problem with very high accuracy.
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Henrard, J. Hill's Problem in lunar theory. Celestial Mechanics 17, 195–204 (1978). https://doi.org/10.1007/BF01371331
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DOI: https://doi.org/10.1007/BF01371331