A SWARM OF METEORITES, AND ON THEORIES OF COSMOGONY. 
23 
We now begin the solution with 
^ *» = !■ (I)„ = 
- 1-0070. 
Hence, 
Hi = 1-0070, -^2 = — ‘5035, 
whence I compute 
^3= +-41782, ^4=--30068, A^=-16175, H6=--0130G, H7=--1333, 
Hg — -f -266, Ag — 
- -378, 
^10 — 
+ '48, Hii = — 
-6. 
With these coefficients I find 
r _ 12 12 
1 2 
lA 
12. 
1 
a "■ TT ’ To ? 
9 ’ 
8 9 
1 > 
.. . (33) 
2 = -9123 -8160 
-7089 
-5887 
-4525 
-2982 
Then, evaluating x ^ 2 % and combining the 
several values by the 
rules for integration 
of the calculus of finite differences, 
I find 
^ 12 1 '> 
1 2 
1 2 
1 2 
.. 1 
To. 
9 . 
8 > 
7 > 
6 
1 
(7v 
h- ■ (34) 
= 1-21 
1-35 
1-527 
1-729 
1-9513 1 
When r — 2, we begin a new series with 
c = 
1 
2 J 
= -2982 , 
A 
\ 5 ; cIxJq 
/ 1 dh\ _ — ^0* _ 
1-9513 
•9907 X -2982 
4-3686. 
-j- 6-5894, 
From these I compute = — 2-744 , A^ = -}- 21-365 , Hg = — 45-409 , 
Hg=+ 9-932, H7 = +-319. 
It appears that z vanishes when x — c = —-141 or x = -359. 
It follows, therefore, that four equidistant values of x lying between r = 2a and 
r — a/-359 = 2-786 a cori-espond to a; — c = 0, x ~ c ~ — -047, x — c = — -094, 
X — c — — -141. 
For the first of these, where r = 2 a, we have 2 = ‘2982, and for the last, where 
r = 2-786 a, 2 = 0 ; and, when x — c — — -047, or r = «/-453 = 2-208 a, I find 
2 = -2031 ; and, when x — c = -094, or r = aJ'iOG = 2-463 a, I find 2 = -1033. 
