Abstract
PER ARDUA AD ASTRA should be the motto for a cultivator of the lunar theory. There is no austerer road to prove oneself a man of mettle. Incredibile studium atque indefessus labor was Euler's summary upon it, and improvement of method since Euler's time has diminished neither studium nor labor. The work now brought to completion has occupied Prof. Brown (and a computer) since 1895, almost to the exclusion of other researches, and for some years before that he was busied with developing its methods. Moreover, the present stage is only a level whence he can take breath to proceed.
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