696 TRANSACTIONS OF THE AMERICAN INSTITUTE. 



TABLE 9— Continued. 



o^.S 



Hercules, square root . ^ 60.71 



Interval 7.585 x 8 = 60.71 



Neptune, square root 53.125 



Interval 5.902 " 9 " 53.125 



Pluto, square root 47.22 



Interval _ 4.72 " 10 " 47.22 



Uranus, square root 42.05 



Interval 3.86 " 11 " 42.05 



Apollo, square root 38.64 



Interval ._. 3.22 " 12 " 38.64 



Minerva, square root 35.41 



Interval 2.72 " 13 " 35.41 



Vulcan, square root :.. 32.69 



Interval 2.33 " 14 " 32.69 



Saturn, square root _ 30.36 



If any doubts still linger in the mind of the reader, that this 

 new theory is founded in nature, I think they must be entirely 

 removed when he finds that the subordinate systems of Jupiter, 

 Saturn and Uranus give their united testimony in its favor. 

 Beyond all question, the same universal laws of the Creator by 

 which the solar system was formed presided over the formation of 

 every other planetary system in the boundless regions of space. 



Jupiter's System. 

 Explanation of tables 10 and 11. 

 Proceeding in the same manner as we have with the solar sys- 

 tem, we take the velocit}'- of lo, the satellite nearest to Jupiter, 

 which is 38,784 miles per hour, and divide it by what we suppose 

 to be the common difference of the primitive orbital velocities,, 

 which is 808 miles per hour. We find the resulting quotient to 

 be 48. We, therefore, infer that the most distant possible satel- 

 lite or ring of this series has an orbital velocity of 808 miles per 

 hour; and that the serial number of lo is 48, that of Europa 38, 

 that of Ganymede is 30, and of Callisto 22. The first or left-hand 

 column of figures in table 10, contains the common difference, 808, 



