Manchester Memoirs, Vol. liv. (1909), No. |. 5 



less than that derived from Bode's table, and abundantly 

 establishes the validity of the binary progression of the 

 planetary distances of both tables as a law of nature. 



14. The substitution of the Mercurian radius vector for 

 the terrestrial unit of distance, brings out several 

 variations in the tables, the most conspicuous of which is 

 the minus difference, 0"4i7, of the distance of Uranus in 

 Bode's table, and the plus difference, 0*550, in the new 

 table for the same planet, the plus difference being 

 accounted for by the attractive influence of Neptune. 



15. The anomalous minus difference of Saturn, 0"36o, 

 column 6, between the plus differences of Jupiter and 

 Uranus is interesting as indicating the large amount of 

 attraction exercised by the enormous mass of the Jovian 

 planet on the outer side, and by the plus differences of 

 the Earth and Venus on the inside of his orbit from the 

 same cause. 



16. The plus difference of Jupiter in the new progres- 

 sion, 0"437, column 6, is remarkable as showing the 

 attractive influence of the large planets, Saturn, Uranus 

 and Neptane. 



17. Other differences will also be seen between the 

 observation and calculated distances in Bode's table and 

 in the new progression, the final effect of which is to 

 reverse the order of the plus and minus differences of the 

 total sums of the distances shown in columns 1-2, and 4-5, 

 of the table. 



18. The smaller minus difference of Mars would 

 appear to be caused by his proximity to the intra-Martian 

 planets, together with the interruption of the binary 

 progression of a major planet revolving in the orbit of the 

 asteroids, of which Ceres is the chief representative. 



