IN PHYSICAL ASTRONOMY. 
whence neglecting k 2 , k f, &c. 
, 3 m. 
k = 
similarly 
m, f a 3 , a- , "1 
//{(! + h kr ~ 1 } + a ?16 = 0 
K + 2 ^ -f ?,6 = 0, ? I6 = 6 3)2 
r // * a " 
k t = - 2- 
m, a- 
t> 3,2 or + 
If 
4 ”* ' 4^0,^ 3 ' 2 
A = n{l 4- 2 r 0 } * + £ + + (" 0 + *) 1 + s ~ 
+ 2 e / { yyy — R ic | sin (n (l + k t ) t + s — xx^j + &c. nearly 
e(l +/)(!+ r 0 ) _ 
1 + A 
(1 +f) =e(l + k — r 0 ) 
If // -Vh. 
--iflK l6 = 0 and if A:, 2 be neglected 
1 /t| « u* 
/» Wli fl " 1 . Ull T) 
If »(l+2c,) = n, and n 2 = -2 
a = a {i + |r.} 
^-= 1 — y r « + e { 1 + k ~ |~ r o} cos (n (1 + k) t + s — xx^j + e J \ cos (n (1 + k) t + 
= 1 - }r 0 + e { 1 - |.r 0 -^ 5 ,} c°s (" (1 + lr 0 - 3a 9l ) « + , - „) 
{^ aqi6 ~^ a fl > 6 } C0S (” (* + */)< + 6 - xx^ 
j=H-ir 0 -e{ 1 -ir°-ia, I } cos (n ( l-I ro -^I ;(! , I ), + < _ OT ) 
+ e { a 916 ~ Tjk a Rl6 } cos (” ( 1 + *') * + £ ~ OT/ ) 
