( 736 ) 
2 c, = (3» 1 — q)\ 
We change the abridged equations into 
y-h9n 1 2 y = 0; ’ 
but then we must admit into the function R 
term: 
3«i q f. 
The canonical solution of the abridged equations is: 
* = ^coi,(n l t+ 2nM, 
y = + 6nM- 
To find which functions the a’s* and are of t, we must in¬ 
vestigate which form the function R now assumes. 
$ 15. As the disturbing terms in the equations of motion are of 
order k 9 we shall find that a v « 2 , ft, and ft can never exceed 
order h. Of this we may make use to simplify the terms of order h 9 
containing x,y,.v\ and if. We may namely replace in those terms: 
X* by 
f „ «, - 9 n* y\ 
Then the equations become: 
* _j_ K,® x + 4«, a? s -f 3c, x*y -f 2c, xy % -f U y 9 -f 
n 4 9 n ' I 
+ («i + 90* - + 81 jf)* = 0. / 
9 9 { 
V -f 9 «I 2 y — 6»1 92/ + + 2c, x'y -j- 3c 4 xy 9 -f 4c, y 9 +- ( 
9«, 4 18n,* „ 1 
+ 9 a t )y -^ (x* -f 81 y 9 ) y = 0. 
9 9' 
Now' the terms of order h 9 are all disturbing except e 4 y 9 in the 
first and 3e 4 r\f in the second equation; so these may be omitted. 
The terms 3 e^x 9 y in the first and e t x 9 in the second equation 
owe their disturbing property to the supposed relation. 
The remaining terms are always disturbing, also when no relation 
exists. 
