THE ORBIT OF URANUS. 199 



(dc-.O) (I'.s.l) (i-.r.l) ((..S.2) (v.c.2) (r.s.3) (v.c.Z) (r.s.4) (v.cA) 



lo£r (i'..s.l)— 2.37^^7 lop: (v.c.l) + 2.0388 log (i'..s.2) — 1.8621 log (v.<\2 + 2.0552 



log sill +9.2994 log cos 7 — 9.9912 log sin 2(/ — 9.5916 log cos 2,7 + 9.9r,41 



log (p. s.l) — 2.124 log(p.c.l) +2.057 log (p. s.2) + 2.362 log (p.c.2) + 2.446 



° ' " (6.S.1) {h.c.l) {b.s.2) {h.c.2) 



g 168 30 30.48 Table XX ".06 0".62 



u 94 7 11.59 XXI 3.91 5.88 0.41 0.17 



E 10 46.21 XXII .84 1 .36 0.18 0.17 



(".o.O) 2 58.68 4781 7 .86 o759 0-.34 



(('.s.l)sin g —47.66 XXIII —4. 28 —6 .88 — 0.43 —0.51 



(u.e.l)cos g —1 47.15 +0753 +0.98 +0.16 '— oTTT 

 {v. s.2) sin 2g 28.43 

 (u.c.2) cos2;7 1 44.55 



(y.s.3) sin 3(jr — 4.13 log r 



(i'.e.3)cos35r —4.46 Table VII 1.3023222 ^^ Table XIX— 46' 3. "73 



(i;.s.4)siQ43 0.47 (p-f.O) 2767 (i.t-.OJ Table XXI 0.16 



(u.cA) cos ig 0.41 (p.s.l) sin ^r —26 XXII 0.09 



M 263 40 57742 (p.c.l)eos5r —112 XXIII 0.20 



9 72 44 17.87 (p.s.2) sin 25r —90 (?)..s'.l) sin 3 +0.11 



li 7.95 (p.e.2) cos25r +257 (6.r.l)cosgr —0.96 



Long, mean Eq. 336 25 23724 (^..s. 3) sin 3.7 +31 (b.s.2) sin 2g —0.06 



Nutation +6,51 (p.c.3) cos -Sg — 14 {h.c.2) cos2g — . 16 



Long, true Eq. 336 25 29.75 log r 1.326035 Latitude —0 46 4.35 



As a second example wc will take the computation of an ophcmeris for tlie years 

 1876 and 1877. We take as the extreme dates 1875, D<>cember l'), and 1878, April 

 3, between wliich are seven intervals of r20 days each, wliich we adopt as those 

 of computation. We first form the arguments for the extreme dates as foHows : 



