( 724 ) 



*Tj, = + O-0056 — .013 Q 4- .003 X^ f .010 ;., — .0001 /^ 



(T,, =z + 0.1488 4 .132 Q — .01 1 ;.^ 4- .oor) ;., + .125 ;., 4- .0026 ;., 



(j,, = — 0.1772 4- .176 Q 4- .008 ;i, f .028 A, — .211 P., 4- .0282 A, 



ö,, = — 0.0018 — .003 Q 4- .001 ;., + .0018 ;.^ 



^^^ — 4- 0.0183 — .034 Q — .002 ;.j — .002 ;..^ 4- .017 ;., |- .0207 ;., 



o,^ = + 0.1203 — .1 10 Q — .005 X, — .oltj ;.^ 4- .021 ;., 4- .1064 ;.^ 



fXj := 0.99944 4- .0009 q — .0002 ;., — .0002 ;.^ 



fi, = 0.99428 f .0095 q + .0002 X^ + .0001 /^ — .0022 )., — .0023 ;.^ 

 (i] = 0.97271 4- .0294 q + .0012 ;., + .0040 ;.^ — .0010 ;, — .0088 x^ 

 (i^ — 0.86245 4- .0555 q 4- .0018 X, + .0045 ;., + .0503 A, — .0056 ;., 



The daily motions of the nodes 6i are : 



(ft,) _o°i36i4 —.1327 p -.0023 ;., — .OOIO /., —.ooiiox.^ 



(H^^ _0.Ü3'>3:{5 —.02602,^ —.OOIDS/, —.00()i:{/, — .OOi'.D'J /, .01)0191 >4 



(^3) _0. 00687)4 —.004ü;{ — .00021 /i —.00071 /.^ —.00004 /, —.000695 >< 



(^^) — O.OÜ1772 —.00077,; — .0(H)03/i —. 00007 >j _.0007r. /j -f .(Xt0098>4 



and for the angles T; we have : 



— ?- = 0°.'»00038 . 



dt dt 



The quantities y>, are thus : 

 p, =-1-0 02720 .?m 1\ f 0.00951 sin I\ +0.')010,3 ,?m F, ~0.oo046 sin T, 

 p^ —— OUU52 4- .46830 + .02734 + .00464 



p^—— .00003 — .01625 4- .18390 4- 03051 



p^ — .OOOUO — 00047 — .03259 4- .25360 



In qi we haxe the same coeflicients, and again in li sin .V, and /, cos X^ . 

 The constant terms (1 — H{) oj of qi and tlie coefficients of sin 6 and 

 ros S in ƒ,■ sin TV, and li cos Ni respectively are : 



(1— /i,)a> = 0.00174 fi, (o = 3°1136 



(1— fi,) a> = 0.01792 (1, vi — 3.0974 



(1— /ij to = 0.08502 fi, to = 3.0303 



(1 — fij o) = 42851 \i, CO = 2 6868 



The position of the true equator referi-ed to the mean equator is 



defined by its inclination coj and node if'j, whicii are determined by 



the formulas 



tOj sin (6*'— If',) = ^j iJoj Yj •''*'" l]i 

 CO, COS {6'- t|?J = ^_y Ö0J >7 cos Fj. 

 The inclination ii and node V of the true equator referred to the 

 orbit of Jupiter are then : 



i2 sin W = ^j öoj .yj sin 6j 4- w sin 6 

 £i cos '/'*= 2 J öoj Yj cos 8 j -j- (o cos 6, 



\vhere we have ; 



