D. Trowbridge on the Nebular Hypothesis. 353 
TABLE I. 
log a, =9'587822, # log a, + 8000845 = 7691710 = log k, 
“" a, = 9859338, “ a,+ “ = 7895347 = “ ky 
“ a, =0°000000, “ a3+ “« = 8000845 = “ ky 
a, =0-182897, “ agt “ =813801I7= “ &, 
“ a,;=0°486951, “ a;+ “ =8366059= “ hy 
“ a@g==0°116237, “ ast “ =8538027= “ ky 
“ a7==0-979496, “ a,+ “ =8735467= “ k, 
Sg == 1 2820093 a,+ vd = 8963041 = “ k, 
“ ay =1477654, “ agt “ =9-109084= “ k, 
The logarithms in the last column of numbers in the above 
table, give for the corresponding numbers those in Table II. 
TABLE Il, 
k,=0°004917 = 468,900 miles. 
k,=0-007859 = 749,300 « 
k,=0-010019= 955,500 “ 
“010019 = 
k, =0013741 = 1,311,000 “ 
k, = 0023281 = 2,216,000 « 
§ =0°034516 = 8,292,000 
= 5,186,000 ‘ 
ky =0°091842 = 8,759,000 “ 
- 8 
= 
o 
II 
i 
—_ 
i) 
ot 
nr 
rs 
II 
oe 
fo § 
to 
res 
Ls 
° 
oe 
o 
s 
Nepiunian ring was separated, and no discontinuity in the sphe- 
One of the rings from the centre; then for the spheroid within 
the outer diameter of the ring a, equation (7) will give for the 
- Moment of inertia, calling B the coéfficient of a?, 
| Mk? = MBa?; 
and that of the ring, or shell between a and A, will be 
: eas 
Bai M’k’? Mk? BIM‘A? Ma] 2. ee 
Ax. Jour. Scr.—Szconp Series, Vou. XXXVIII, No. 114.—Nov., 1864. 
45 
(8) 
