IN PHYSICAL ASTRONOMY. 
41 
— { (1 + 3 f) r, - ?|! (r l0 + r,,) | - _ 
!l^J{(, + 3^) r .-^ (r „ + rM) }- r , 
F 
n 2 f 3 1 
V-l r6 2 r ') 
» (2 »-»,)» / _ 3 I 
ra 2 L 8 2 1 J 
(3n-2n ( ) 2 / 3 1 
n 2 | r 9 2 r °-) r ‘ 
(4 n — 3 n,) 2 / 3 "1 , m, 
^ V I0 ~ 2 7-3 f ~ r K> + - *9,0 = 0 
(5 n — 4w,) 2 
n 9 
r s + — a 9 j = 0 
F 
+ ^a ?4 = 0 
F 
r 6 + ^ a g 6 = 0 
F 
r 8 + — a ?8 = 0 
F 
. 771, n 
9 + ~ a ?9 = 0 
r* 
l/ 11 ” IF 7-4 } ~ ru + = o 
7YL 
r \i + — a?i 2 = 0 
F 
(”- 2? 0 2 / r _ j* 1 _ 
n 2 l 12 2 2 J 
(2n-3n,) 2 / 3 1 , 
^( r *3-^ r 3j -r 13 + -'a ?13 = 0 
(3 ra — 4 w ; ) 2 
_ , m. 
■ ^13 + — ' ( 
F 
I 771, 
t -,4 + — >-aq H = 0 
F 
n, 2 , tti, _ 
i r,s =° 
(2 w — 7i,) 2 m, . 
^ r i 7 - r 17 + — a 9l7 = 0 
(3 n — 2 n,) 2 „ , m, 
~ r >8 + a ? 18 = 0 
(4n — 3n,) 2 , m, 
-5 — - ri9 + — a 9 is = 0 
r' 
(n — 3n,) 2 . m, . 
^0 ~ 7-20 + — ' A 920 ~ 0 
g. « . -3 W< ) a 3 
jfl 
re2 r 2 i 7' 21 + —- 1 a q 21 = 0 
(3 n — 4 n,) 2 m 
ri r 22 — r 22 + — ' a 922 = 
MDCCCXXXI. 
F 
For the determination of the quantity k, see p. 50. 
G 
Equations 
which serve 
to determine 
the coeffi- 
cients of the 
inequalities of 
the reciprocal 
of the radius 
vector. 
