numerical Relations of the Solar St/stem. 39 



of our planetary world. The four periodic comets have for 

 their semi-axes major (Bowdich, Mec. Cel., vol. iii.). 

 Encke's 2-224346 Olbers's ] 7-7 



Bieia's 3-53683 Halley's 17-98705. 



Putting the distance of Jupiter from the sun = 121, I find 



The greatest deviation from the exact square = .— . Hence 



the periodic times are nearly as the cubes of the natural num- 

 bers ; and the squares of the times, as also the cubes of the 

 distances, are expressible by the sixth powers of the series 1, 

 2, 3, 4, &c. very nearly. 



For Jupiter's system (Baily, Ast. Tab.), 



