36 A NEW METHOD OF DETERMINING 
In a similar manner we get 
= £55 G2) = I= (Gi®))o 2 (3) 
where 
aon 
We have now to find the relation between y and z. 
Let 
g = the mean anomaly, 
and ¢ = the eccentric anomaly. 
Then from 
= e—esineg, 
introducing »4/ —1, we get 
(i SS Qala aie eal 
Since 
B= ine ==, 
we find 
gV—l=eV—1—S(y—y"). 
Now from 
=a 
yao" 
we obtain 
GNM = ae. 2, 
