PROCEEDINGS OF THE POLYTECHNIC ASSOCIATION. 691 



Common Serial Theoretical Actual known. 



Difference. Number^. Velocities. Velocities. 



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



Uranus.. 1,582 " 10 " 15,820 15,730 



Apollo 1,582 " 11 " 17,402 



Minerva 1,582 " 12 " 18,984 



Vulcau 1,582 " 13 " 20,566 



Saturn 1,582 " 34 " 22,148 22,306 



Jupiter... 1,582 " 19 " 30,058 30,203 



Mars 1,582 " 35 " 55,370 55,812 



EartJi 1,582 " 43 " 68,026 68,890 



Venus.... 1,582 " 51 " 80,682 81,000 



Mercury.. 1,582 " 70 " 110,740 110,725 



111 table 6 it will be noticed I have made the serial nulliber of 

 Saturn 14, and that of Jupiter 19, thus omitting 4 serial numbers; 

 the reason is that theory indicates that there were 4 rings of aste- 

 roids between the orbits of Saturn and Jupiter; though in this 

 table I have omitted them to save space. So also the serial num- 

 ber of Jupiter is 19, and that of the next planet, Mars, is 35, 

 because theory indicates that there were 15 rings between the 

 two orbits. There Avere also 7 rings between Mars (35) and Earth 

 (43); 7 rings between Earth (43) and Venus, (51); and 18 rings 

 between Venus (51) and Mercury, (70). 



I have taken the liberty to give names to the seven hypothetical 

 planets beyond the orbit of Neptune, and to the four between the 

 orbits of Neptune and Saturn, because it will render a reference to 

 them more convenient. 



Serial Relations of the Square Egots of the Mean Distances 

 or THE Planets from the Sun. 



It is well known to astronomers that one of the consequences 

 of the laws discovered by Kepler and Newton is, that the mean 

 orhid velocities of the planets are, one to another, inversely pro- 

 portional to the square roots of their mean distances from the sun. 



This being the case, it follows, that if the orbital velocities of 

 invisible planets or rings are ascertained by our theory of common 

 difference of velocities, their mean distances can readily be ascer- 

 tained by the rules of simple proportion. The following are illus- 

 trations of the application of this rule: The orbital velocity of 

 the planet Mercury, in whole numbers of thousands of miles is 

 110. The orbital velocity of Mars is half as much. Upon ex- 



