of Edinburgh, Session 1881-82. 723 
Following my own method of solution, published in 1829, the 
operation is : — 
- -0055 
- -4801 
+ -0220 
+ 12-3667 
+ 1-9204 
0440 
+ 54-1000 
- 49-4667 
- 3-8408 
+ -0587 
o ^ 
l 
- -0055 
- *4581 
+ 14-2431 
+ -8512 
-4- 
+ 3 
+ 275 
- -8546 
- -06 
8 
- -0042 
-4-06 
Hence the first contact will be at 
18 h 30 m - 4 m 03 s, 6 = 18 h 25 m 56 s *4. 
The greatest phase will be between 18 h 50 m and 19 h . Putting 
t for the time in minutes from the epoch 18 h 50 m , the value of the 
separation is expressed by 
+ *00050^ - *2 8 1(P 2 + 1 -650(P H- 197*9 = sep n , 
which is to be a maximum. We might equate the derivative of 
this to zero, thus obtaining a quadratic equation, but it is much 
more convenient for us to retain the cubic form and to determine t 
so as to render the derivative zero, thus : — 
+ -0030 
- -5620 
+ '0090 
+ 1-6500 
- 1*6860 
+ 135 
+ 197-9000 
+ 4-9500 
- 2-5290 
+ 135 
o- 
3- 
+ -0030 
- -5530 
1 
- -0225 
+ 221 
+ 200-3345 
9 
p 
CO 
1 
~ -0004 
+ 200-3336 
2-96 
4 K 
VOL. XI. 
