A SWARM OP METEORITES, AND ON THEORIES OF COSMOGONY. 
49 
If X 1)6 very large, the integral becomes 
aoo ^co 
55 y^‘Q-'f dij = 2a;^ e~~' th 
Jo " Jo 
Now, 
X'^ 
\ 9 , 
and 
["z^-e-~-\lz = lTT-{‘lE - Ff. 
J 0 
Therefore, the integral becomes 
2 » 
-i (2^^^ 
TT 
and with the known values of E and this gives us 
For intermediate values of s recourse must be had to quadratures for evaluating 
the integral. I have therefore determined, by a rough numerical process, sufficient 
values of the integral to render possible the drawing of a curve for the values of 
J/r for all values of s. The following table gives the results for the integral 
Io“ (■'» + yf + y^Y yi g dy^ which may be denoted by K :— 
K 
If these values be 
we obtain 
= 
171 , 
.s = I? 
2-90 , 
.9 = ? 
4-94, 
.9 = §9 
12-97 , 
.9=29 
28-75 . 
introduced in the formula 
T/r 
.9= I 9 
•86 , 
.9 — ^9 
•80 , 
•9=9 
•88 , 
5 = 1? 
1-26 , 
s = 29 
1-81 . 
MDCCCLXXXlX. —A. 
H 
