Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 7)

479] FUNCTION IN THE LUNAR AND PLANETARY THEORIES, 
517 
which, observing that in the present case the sine terms vanish, is 
1 I 
e 4 
384 
e 6 
46080 
1 -8/ 
+ 96 / 
- 1280/ 
1 
©i 
+- 
+ 3920/ 
- 3440/ 
+ 4 
CO 
1 
- 360/ 
+ 4 
- 96 / 
+ 1920/ 
- 1320/ 
+ 144 
- 2880/ 
+ 144 
- 5760/ 
+14400 
+14400 
0 
D(j, -j) 
da 
1 . 2 
I_ „./Ay 
1.2.3 \daj 
1.2.3.4 \daj 
1.2.. 5 \da/ 
1 „ (d\ 
1.2 .. 6 ( da, 
1 . 2 . . 7 \dcu 
viz. the term in e 2 is 
e 2 |-i 2 + i«x: + ia 2 (x:) ^(j> ~j)- 
da ' 4 " \daj 
viz. writing r] = 0, and therefore D (j, —j) = \A~i, the term in e 2 is 
which, conformably with Leverrier’s subscript notation 
A ' = I ° Ta A< ’ A ‘ = O (¿J A ‘’ &C -
	        
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