194 THE ORBIT OP URANUS. 



(v.c.l) = + 0".06 sin A, 0".27 cos A t ; Table XI; const = 0".40 



-f 0. 18 sin .4 + 0.01 cos 4 ; XII; 0.20 



-0.03 sin^4 6 + 0.08 cos A; XIII; 0.10 



.02 sin ^ 7 + - 09 cos A; XIV; 0.10 



.44 sin A s .61 cos A 8 ; XV ; .75 



0.10 sin A + 0.03 cos J 9 ; XVI; 0.10 

 Sum of constants added to (v.s.l) and (v.c.l) in these tables 1 .65 



The term of (p.c.O) 



1 1 sin A s 3 cos A s 



is omitted from the tables entirely. 



Tables XVII a and XVII b give the constant, secular, and long-period terms of 

 (v.s.l) (v.c.l), computed from the formulae p. 186, with the following additions: 



1. The constant terms introduced by the perturbations, given on p. 187. 



2. The negatives of the constants added to the tables VII to XVI inclusive to 

 make the numbers of those tables positive. The values of these terms are 



Pert. Const. Tables VIII to XVI. (i)_(2) 



(v.s.l) 177".65 + 1".507 T 177".65 F.507 7 



(v.c.l) 186 .65 + 1.507* -186.65 1 .50 T 



(v.a.1) -0".14 135.20 + 1 .507 7 - 135 .34 1 .507* 



(v.c.2) +0.13 135.20 + 1 .507 7 135 .07 1 .507 7 



(v.s.3) 9 .00 9 .00 



(v.c.3) 7.00 7.00 



(p.c.O) [+1972] -1000 +1000 



(p..l) + 63 1850 1787 



(p.c.l) + 73 1800 -1727 



(p..2) + 5 450 445 



(p.c.2) + 4 450 446 



The perturbation constant of (p.c.O), being added to log a in forming the elliptic 

 radius vector, is not included in this table. 



Table XVIII gives the reduction to the ecliptic 



- 9".37 sin 2. 



The constant 10" is added to make the numbers always positive, which constant 

 has been already subtracted from 0. 



Table XIX gives the principal term of the latitude 



46' 20".54 x sin . 



Table XX gives the coefficients (b.s.l) and (b.c.l} for the perturbations of the 

 latitude produced by Jupiter. They are given by the formula? 



(b.s.l) = 0".65 cos (/ U-\- 40) 

 (b.c.l) = .65 sin (/ U+ 40) 

 The constant 0".70 is added to make all the numbers of the table positive. 



