IN PHYSICAL ASTRONOMY. 
363 
tj = A (i + (e 2 r g + r,) +-| | r, r 2 + 2 r 0 r 3 j 
- 3 {2 7474 4 - e°- (r 3 + r 4 ) r 2 4- e, 2 (74 + r 7 ) 74} 
r + = A +|<»j (^ + ^0+ -|{r 1 r a +2r 0 r 4 } 
— 3 {2 r 0 r, + e 2 (r 3 + r 4 ) r 2 + e~ (r 6 + r 7 ) 74} 
t 5 =i(l 4 - (e 2 r l4 +e 2 r n ) + |-|r 1 r 7 + r l r 6 + 2r 0 r 5 | 
r 6 = A^l + |e 8 j (e 2 r 12 + e 2 r lfi )+ A |r s r, + 2r 0 r s J 
t 7 =-| (l + e^(e 2 r 15 + e 2 r 13 ) + A|r 5 r 1 + 2r 0 r 7 } 
r s =A(l + |e 2 ) (2r 0 + r 2 + e 2 r,o) + ^ + f {r 2 2 + 7414 + r,r y 4- r,r 10 } 
— 3 12 r 0 2 + 74 2 + (r 4 + r 3 ) 74 f 2 r 0 r a | + 3 |r 0 2 4- A j 
t 9 =A(l + Ae 2 ) (e 2 r 21 4 -r 3 )+ A r 4 4- -A |r 9 r 3 4- 2 r 0 r g } 
- 3 |r,r 2 4-2r 0 r 3 J + A j 2 r 0 r, 4- e 2 r 3 r 2 | 
*.o = tO + |- e2 )(0 + e 2 r 22 ) 4- ^ 74 +A{r 4 7 - 2 4- 2? ° r ‘°} 
_ 3 4- 2r 0 r 4 J 4- A {27474 4- e 9 r s r a } 
r u = A {l 4- A e ^j (74 4- e°-r 23 ) + A {74 r ls 4 - 74 r ia + 7474 + r t r 4 + r 3 r 7 + 2r 0 r I1 J 
tr 1 o — 
t,4 = 
t 13 — 
*16 — 
— 3 {7474 4" 74 74 4- 2r 0 r s } 
4- A (e°-r 24 4 r 8 ) + -| {r M r, + r 2 r c 4- 74 74 4- 2 r 0 r 12 } - 3 {7474 4- 2r 0 r 6 } 
A {l + A e 2 ^ (74 4- e°-r 25 ) 4- A |r u r, 4- r s r 7 + r 6 r 4 4- 274743 j — 3 {7474 4- 2 7474 j 
A^l 4- A e 3 ^ (e 2 r 26 4- 74) 4- A{j4e74 4- »4»»4 + *a r s 4- r 6 r 3 4- *7 r 4 + 2r o»u } 
— 3 {7474 4- J4»4 + 2r 0 r i} 
A {l 4- A e 2 ^ (e 2 r 27 4-74) + y{ r i4 74 + r2r 7 + rsr3 } ~ 3 { r;,ri + 2r ° r2 } 
A {l 4- A s j (74 4- e 2 r 28 ) 4- -A {74*74 +»474 4 74 74j -3 { 74 r, 4- 2 74 r 6 j 
