IN THE MOTIONS OF THE EARTH AND VENUS. 
97 
( 6 ) 1 
C 7 = 7 X 221,8/80 
( 7 ) 1 
C T =-r X 194,2735 
( 9 ) 1 
C r =-, X 143,6296 
(io) l 
cj. =-, X 121,5988 
( 12 ) 1 
Cr = -T X 84,9489 
<r = 
7 f X / 0,2 184 
( 8 ) 
C r 
z X 167,9770 
( 11 ) 1 
C 7 = 7 X 102,0404 
c‘ 14, = 
c' ,5) = 
X 57,6-62 
— f X 47,1003 
40. 
,, 7 ^(*) sin 2 /3 f (2A + 7)(2* + 5) ^(*-D 
Making s = -g , C, = j j 
- <g *~ 7 ) i g * -— ? C * + 1) }- F™nthis, 
(7) 1 
c = 
- X 1830,596 
a' 5 
( 8 ) 1 
C 9 =-7 x 1636,049 
(10) 1 (13) 
C 9 = 7 X 1266,709 C 9 = 
^ X 807,945 
(11) 1 (14) 1 
C 9 = 7 X 1099,213 C 9 = 7 X 685,214 
( 9 ) 1 
C, = 7 X 1446,655 
( 12 ) 1 
c 9 = jX 946,016 
9 ^(*> sin°-/3 ((2 k + 9) (2 A- + 7) ^(*-0 
41. Making. = T,C v = i8^{- C < 
( 8 ) 1 
C lt =-r X 15366,90 
(«-»)P*-7) c t>+»)j - Fromthis> 
(io) 1 
C =y X 12473,68 
( 12 ) 1 
c,, = ~x X 9786,59 
( 9 ) 1 
c , = 
^ X 13907,74 
(11) 1 (13) I 
c„ = 7 x 11092,76 C lt =— X 8570,07 
T l* T CL 
Section 13. 
(*) (&) 
Numerical calculation of (0,1) C s , (1,0) C s , fyc. 
42. It will be sufficient to form, by differentiation, the expression for one of 
the differential coefficients of each order, as the others can then be derived by 
(*) . 
simple addition. For C s is a function of a' and a of — l dimension : hence 
MDCCCXXXII. 
O 
