485 
the plane of the orbit. The other one (the 2"y'z'-system) is fixed in 
space, and coincides with the former for ¢= 0. 
Let the incident electric vibration be Mest, its components along 
a'y'Z'-axes : 
Pest, Qeist a eis ls 
where : 
P= Foose, Qa fi 6 kh == Micon 
Putting 
Pa A= PS 
fies ee i Q EE q 5 
we find for the cemponents along the rotating axes: 
io Snel (sot +. 4 get (sto) t 
i # / 
Ne ED vrl h See 5 PE aen et AS B Sa A) 
Z— Reist 
The equations for the forced vibrations can be deduced from (4)—(9) 
by adding to the members on the right hand side : 
Xe Xe Ye 
ie ee ete. 
m m : mR 4 
As only the g-vibration with the g-vibration (which is coupled to 
the former by the equations (10) and (11, to which we adhere in 
this calculation too), and the y-motion give an electric moment, we 
obtain, denoting the frequencies of the free 8- and 7-motion by 7, and »,: 
F 2Xe 
PM 6 = zE et Seas en CZ) 
1} 
: 2Ze 
Y + Na pe = —_- 5 5 5 . 5 . . (18) 
m 
Bp DO ht. a Lenda DE aati ee 
Eq. (19) is deduced by subtracting eq. (10) from eq. (11). The 
auxiliary forees Q,, and Q, have now different values, as they have 
also to annihilate the Y-component of the incident electric vibration. 
The components of the electric moment are found to be: 
e? pet (s—a)t gel {stoot 
M,. = Pp = | de + 2 
7 
nee)? nete) 
mm 
Ww , WwW 5 
P ome OD) q et! stot 
Cs s+ yo ee MeO 
M, = Rey — 122 ee EEE TE +. 
m | n,* —(s—w)” n,°—— (s+-o) 
2 ae 
ec Rees 
M, ae c= es —- 
mn, — 8° 
From these quantities we must derive the components along the 
fixed system of axes: 
