1173 



The resulting values of o /^ have been collected in the next table. 



From tiie expression for ^[f>, viz 

 we deduce 



i<i(0 — |. ... I shi lir 4- 0.024 — - «n tc, 

 '^ dr 



o(0.2v-f-i^^0 0. ±1, zfc2. 



(39) 

 (40) 



and furtiier the values of the next table. 



The development of the perturbative function has not been carried 

 on far enough to enable us to compute the quantity [•••]• 



7. Passing from the terms of the first order with respect to e' 



of Q and (7 to the coiresponding terms of d and e, viz. ff(t and (fc,, 



we have : 



da da do 2o dp 



(41) 



ffe= (l/l --?* — i) — = 



e i^aM 



e V 



Denoting the terms of the first order with lespect to e' of the 

 variables / and y bj öl and ög, we have^): 



(S6 =: 4 d/ 4 3 (fa, 



hence : 



,W -^ 3 oil > 



T '' (48) 



(U = 



(fpz= di2 



The following tables contain the developments of the four quantities 

 (fa, de, (fl, (fij and numerical values of the coefficients. 



1) Investigations, Chaptej- 11, § 2. 



Proceedings Royal Acad. Amsterdam. Vol. XXI. 



76 



