( 722 ) 



The great inequalities are : 



x, — 0°4303 —.0024 X^ +.4'728 ;, —.0145 X^ 

 .r, = 0.9875 +.1273 —.0090 +.8188 

 .)•, = 0.0636 —.0010 +.0629 -.0063 



The coefKicients of the iiie(|iialities of <>roii|) II arc : 

 :<j, =1-2.49 —.04 (> +.04 ;.j — 'J.46 ;i, +.17 ;.,j ^^ 

 Xj, = 1 + 0.98 -.19 (>-.13 ;, + .97;., -.10;i,|é', 

 Xj, = 1+0.083 —.03 ^ — 02 ;ij +.02;.,!^, 

 Xj, = i + 0.0062 - .003 Q - .002 X,X^ —.005 A, +.002 ;.J e^ 



x„ = 1 + 2.26 -.05 (» +2.20;., -.03;, + .OSAJ e, 

 x„ = 1 + 2.19 +.16 (> - .74;, +.08;, +2.93;3| ., 

 X,, =1—0.535 —.27 Q— .03;, +.15;, - .02;,]^, 

 x,, = |-0.0368|-.0059— (.002— .017;jA, +.022;, +.045;,;, - .046;>, 



x„ = 1-0,01 -.oi;,|., 



x„ = 1-0.67 -.65;,|g, 



X,, = 1+0.109 +.07(> - oi;, -]-.07;,j ., 



X,, = 1+0.0078 +(00i +.009;j^, +.<)ii;>, 



The quantities determining the lihration are : 

 Q, -_^ + I.U0344U — 00U22;, — .00i»50;, — 00142/,; (1 f /,)(!+;,) 



Q^^ - 1.005161 —.00021;, — 00045;., —.ooi35;,j (If;,) (1+;,) 



Q, = + 1.000452 - 00U02A,j(l+A,)(l+;.,) 



i^ = Q, - 3Q, + 2Q, tf^ = /?(«- t,) 



» = 0°.158.smif? 



,>, = + 0.1735 & 0-, = — 2603 ,'> ih, = + 0.0228 .7- 



The position of the orbital j^lanes of the satellites is in Souillart's 



theory referred to the orbit of Jupiter, of which the inclination and 



node^) i-eferred to the ecliptic and mean ecpiino.x are (according to 



Leverrier, but with NewcomiVs precession) : 



r/)= l°18'31".l — 0".2051T 

 {h = 99 26 36 4 36.396 T, 

 where T is the time counted in tropical years from 1900 .Jan. 0.0 

 Greenwich M. T. 



It is preferable, however, to refer the latituiles of the satellites to 

 the mean equator of the |>lanet. The inclination and node of this mean 

 equator referred to the orbit (the node being counted "in the orbit") are: 

 CO— 3° 6'55".l + 0".0243T 

 /9 = 315 48 + 50 .158 T 

 The inclination and node of the mean equator referred to the ecliptic 

 are thus : 



1) Unless otherwise slated, iiodr s^taiuls for uscending nude. 



