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ON SOME APPLICATIONS OF THE METHOD 



and thence 8x, Sy, and dz in parts of the moon's mean distance for intervals of twelve 

 hours, as follows : — 



Which correspond to the following values of the perturbations in longitude and latitude. 



For longer intervals, the terms producing the principal inequalities might be ex- 

 cluded from FSx, FSy, and Fd:. 



Table I. contains numerical values of ^ with the argument r\ The interval adopt- 

 ed for the value of p is one mean solar day. The use of the table is explained on 

 pp. 193, 194. 



Table II. contains logarithmic values of -^, with the argument r 2 , and is useful in 



calculating heliocentric coordinates. 



