( 759 ) 
Pe Ml Ee Why Ny. = Nisse + Mah, og Se Neen — PD) TVJads 
(p being the coefficient of a term g,q.q,g, in M‚). 
Of the — and + signs we must take the top one in the case 
of the relation (A) and the bottom one in the case of the relation (2). 
We take as first approximation : 
a 
q * cos (n,t + 2n,8.) 
. 1 n 1 Ei 
1 
Va 
M= dos (nt =- 27,8,), 
2 n, 22 
ye Ve, COE ms 
dg == COS (nt 5 Lite F<), 
Ns 
Va, 
Mn cos (n, 4 nm, = n,)t + 2(n, 4 fi, ate RIB etc. 
| 
n‚ An, En, 
We have then to take as function R: 
— R=y,, (@,, 4,,-..a%) + eo ha, + m, Va aaa, COS Op, 
in which 
g = an, B, + 2n, B, = An, B, — Aln, +2, £2,) 8, = 
— 2n, (8, — By, + 2n, (8, — B,) + On, (8, — B). 
§ 23. We can write down the equations which show the variability 
of the as and #’s with time and we find, as always in the case 
S=4, that the coordinates q;,q,-.-q¢ feel the influence of the 
relation in their phase, but not in their amplitude. 
We therefore occupy ourselves particularly with g,, g,, g,, and ds 
The equations for a, @,, a,, and a, run: 
a, = + 2n,m, Vaasa, sin (fy 
a, = + 2n.m, Va aaa, Sin ip, 
a, ma An, Va aaa, sin fs 
«, = — 2(n, +n, + n‚) m, Wa aac, sin p. 
We deduce from this: 
a a a a 
ed 3 
SEN Sr EE A TE 
n, n, N. Ninne 
a, Ha, + a, + a, aati i 
a, a a 
1 4 vr “3 4 evn 4 179 
— zel l ih ,;— + —— =S Ch - 4 =O fi 
ng i 1 
je n, + N,N, Ei 
Ln En. + 
î Ns (M,N, n 
