239 
We find 
F',, = + 1025.18, 
and the determinant of the four equations (@) is 
130250342 <= 263-42 
Eede +23296.87— B 
a 1.72 = 8396 
+ 0.33 + Ld 
214,29 Seriya 
289.04 CAMEE yi 
LOVERS lo B 42651 
34.50 +21087.28—B? 
The five roots 8,?, determined in this way, are (still expressed in 
units of the-8 decimal place): 
B? = + 30261.15 
8,7 = + 23299.79 
=d 2137451 
B = + 2108419 
B =H 1025.18 
We now put, for g=1...4, 
Wo = Bj Tt Ss ee we ear aes Se Hi See 
where 
To 
VWs ea 0 
00 
Then =,= gt + Wy. are the longitudes of the “proper” perijoves, 
aap, Ok 
‚4 are the arguments of the inequalities of 
group II, and w, is the argument of the libration. 
The mean motions of these arguments are, in degrees per day '): 
y, = 0°148668 
7, = 0 039842 
7, = 0 .006949 
y, = 0 .001862 
B, = 0 16347 
El. and Masses. 
0° 14407 
0 .039593 
0 .007046 
0 .001864 
0 .16252 
These values are not yet final, since we have neglected: 
1. the effect of the periodic part k;—[R;]| of the perturbative 
function, 
2. the squares and products of the quantities hi, £;,v;, w;, 
3. the inclinations of the orbital planes of the satellites on the 
plane of Jupiter’s equator. 
Apart from the corrections which must eventually be applied 
1) The motions yi and #; are siderial ones, and do not contain precession. 
Accordingly the precession ‘has been subtracted from the values of yi as given in 
El. and Masses. 
