Publisher's Synopsis
Excerpt from Reply to Various Objections Which Have Been Brought Against His Theory of the Secular Acceleration of the Moon's Mean Motion
It may be as well to guard against the idea that the extreme minuteness of the quantities which we have to deal with in this investigation, gives rise to any uncertainty in the result. The present rate of approach of the moon to the earth which accompanies the acceleration of its motion, is less than one inch per annum, but the theory can determine this minute quantity to within, say, a thousandth part of its true amount, just as easily and certainly as if the quantity to be found had been any number of times greater.
I will now proceed brie?y to explain the principles which I employ In determining the secular acceleration, and to point out the errors which vitiate the several results of MM. Plana and de Pontecoulant which have been already referred to.
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