690 TRANSACTIONS OF THE AMERICAN INSTITUTE . 



interior ring. If we call the orbital velocity of Mercury 110,740 

 miles per hour, and divide that number by 1,582, we obtain a 

 quotient of 70 without any remainder. There could not, there- 

 fore, have been more than 70 rings, beyond and including Mer- 

 cury; for the reason that beyond the 70th a difference of 1,582 

 oould not be obtained. The outermost possible ring had an orb- 

 ital velocity of just 1,582 miles per hour; the second ring just 

 twice 1,582; the third thrice 1,585, and so on to Mercury, which 

 must have a velocity of just 70 times 1,582 — equal to 110,740. 

 It is upon this principle that what I call the sericil relations are 

 founded. 



In constructing the following tables, I have adopted 1,582 miles 

 per hour as the common difference of orbital velocities, because I 

 thus avoid the necessity of using fractions; though, perhaps, this 

 number is not as near the truth as 1580. For the same reason I 

 have assumed that 110,740 is the orbital velocity of mercury, in- 

 stead of 110,725, which is probably more correct. These slight 

 variations are, however, unessential. 



Explanation of Table 6. 

 The first or left hand column of figures is a repetition of 1,582, 

 the common difference. The second column contains a series of 

 numbers from one to seventy, which I denominate the serial num- 

 hers, because they represent the series of rings: the most distant 

 possible ring, or planet, (Chaos) being one. The third column 

 contains the orbital velocities of the rings, or planets, obtained by 

 multiplying 1582 successively by the several serial numbers. 

 The fourths column contains the actual velocities, so placed that 

 they can readily be compaied with the theoretical numbers in the 

 third column. 



Common Serial Theoretical Actual known 



difference. numbers. velocities. velocities. 



'Miles per hour. Miles per hour. Miles per hour. 



Chaos.. 1,582 + 1 = 1,582 



Nox 1,582 " 2 " 3,164 



Cerberus 1,582 " 3 " 4,746 



Bacchus 1,582 " 4 " 6,328 



Janus -.- 1,582 " 5 " 7,910 



Atlas 1,582 " 6 " 9,492 



Hercules 1,582 " 7 " 11,074 



Neptune 1,582 " 8 " 12,656 12,570 



Pluto 1,582 " 9 " 14,238 



