TaE ORBIT OF URANUS. 87 



Action of Saturn. 



'I II 



(6.c.0)=— 0.08 sin A. —0.03 cos ^ 



—0.03 cos 2^13 



" " —0.01 cos 3^2 



(&.s.l)=+1.34 sin A, -f 2.88 cos A, (?..c.l)= — 1.-56 sin A. +2.50 cos A. 



—0.01 sin 2A —0.10 cos 2J2 +0.02 sin 2^ —0.10 cos 2^ 



+0.03 sin ZA.^ —0.06 cos ZA^ —0.04 sin 3.4. —0.06 cos 3^2 



+0.02 sin 4.4o —0.03 cos 4J2 —0.02 sin 4.4. —0.02 cos 4.42 



(S.s.2)=— 0.09 sin ^ +0.10 cos A. (i.c.2)=— 0.09 sin A^ _0.05 cos A,^ 



—0.05 sin 2An —0.09 cos 2.1o +0.07 sin 2^2 +0.02 cos 2^j 



—0.01 cos 3A +0.01 sin 3.42 



Action of Neptune. 



II II 



(6.c.0)=+0.01 sin A., —0.04 cos J3 



—0.01 sin 2.43 +0.00 cos 2^ 



—0.01 sin 3.43 +0.04 cos 3 J, 



+0.01 sin 4.4, +0.01 cos 4^ 

 +0.01 sin 5.43 



+0.01 sin 6.43 



II II 



(i.s.l)= +0.13 sin J3 +0.16 cos J, (5.c.l)=— 0.57 sin A^ +0.04 cos A 



3 



+0.09 sin 2.43 +0.26 cos 2.43 —0.39 sin 2.4, +0.06 cos 2^ 



+0.08 sin 3^ -fO-'-^S cos 3.I3 —0.33 sin 3.43 +0.07 cos 3 J3 



+0.01 sin 4.43 +0-03 cos 4.43 —0.07 sin 4.43 +0.01 cos 4.43 



—0.02 sin 5^ —0.12 cos 5.43 +0.10 sin bA^ —0.03 cos 5-.43 



—0.01 sin 6.43 —0.03 cos 6.43 +0.03 sin 6^ 



—0.01 cos 7.43 +0.01 sin 7.43 



(5.s.2)=+0.01 sin A^ +0.05 cos A^ (&.c.2)=— 0.07 sin A-, 



—0.03 sin 3.43 —0.09 cos 3.4^ +0.09 sin 3.43 —0.03 cos 3.43 



—0.05 cos 4.43 +0.05 sin 4^3 



—0.04 cos 5^3 +0.04 sin 5^ 



+0.01 cos 7.43 +0.01 sin 6 J3 



—0.01 sin 7.43 



Action of Jupiter and Saturn. 

 (Terms multiplied hy the product of their masses.) 



K^=~ L^+3*S'— / 

 JV3=— 2tr+4.S'— J 

 iVj= ZU+ZS—2J 

 iV;= 2f7+4,S'— 2J- 

 iV,= 5S—2J 



iV;=— 3f7+6.S'— 2/ 

 N^=—3U^1S—2J 



