AMERICAN JOURNAL OF SCIENCE. 
[THIRD SERIES] 
Art. 1—On the Inequalities in the Moon's Motion produced by 
the Oblateness of the Earth; by Professor J. N. STocKWELL. 
HAVING given in the November number of this Journal, an 
account of a secular inequality in the moon’s motion, arising 
from the oblateness of the earth, I propose to give, in the 
present number, a somewhat detailed account of the principal 
periodic inequalities in the motions of the moon arising from 
the same cause. And I would here state that a careful study 
of the effect of the earth’s ellipticity on the motions of the 
moon, through the medium of analysis, has presented some of 
the most curious and interesting cases of perturbation to be 
found in physical astronomy. The principal inequalities to 
which I would call attention, are chiefly remarkable as being 
the product of a number of important, though mutually 
antagonistic forces, the resultant of which, on any given 
h 
motions of the moon; and Second, the combined effect resulting 
from the earth’s figure and the sun’s attraction. It is from 
these two points of view that I shall now consider the subject. 
Am. Jour, oo Serres, VoL. XIX.—No, 109, Jan., 1880. 
