a Problem in physical Astronomy. 
mg to logarithms, need be taken out of other tables, in com- 
puting the value of A or B. 
12. It will now be proper, since the literal expressions of the 
Values of A and B have been exchanged for others which are 
more convenient, to bring the new equations together in one 
view, and, after that, to give an example of the numerical cal- 
culations by them. 
It appears, by Art. 9, 10, 13, 16, and 17 of the preceding 
paper, and 6, 7, and 8 of this, that 
1. A 
a. A! = 
3. B 
V (tf -f&) a 
sr (a+b) 1 
X 
C ^ 
c c 
+ e -I- fcc+gc 4 
4“ 04 4~f“ 04 CC 4“ 
8.8 
X < 
YF + — + b + icc + kc' 
+ l x + ±L xCC+ 3±il_ 
* 4 1 4-12 1 4.12.3a 
OiC i 
2 a 
A 
it b {a + b)\ 
X 
p + lee -f 
+ + i »cc + 2a6 
me 
9 uc\ 
4. B'=~(A'tf-A). 
In which equations, the values of the coefficients are as follows 
£? = 0-1931472, h = 0*0823604, P =1-3862944, 
/== o- 1036802, 1=0-0,551502, 7=0-346573 6, 
g-= 0-0687064, £ = 0-0408309, w = 0-1793226. 
13. The constant numbers which will be wanted, in com- 
puting the arithmetical values of A and B, are those denoted 
by e, h, and p, which are given in the preceding Article ; and 
the constant logarithms are the following, which are respec- 
tively set down to as many places of figures as are requisite. 
4 C 
MDCCXCVIII. 
