1883.] ^'^l [Chase. 



If we take the mass-estimate of Note 313, m^ -f- wig = 330463, this propor- 

 tion gives m„ ~- m^-= 19439, which is, within the limits of probable error, 

 in accordance with Stockwell's second estimate. The interest of this har- 

 mony is increased by the fact that the ratio of Earth's equatorial velocity 

 of rotation is to the limiting value of V g^ }\ in the same phyllotactic ratio 

 of 2 to 34. 



360. Harmonic Relations of Saturn, Mars, and the Telluric System. 



The harmonic actions and reactions among the masses at the centre of 

 planetary inertia (Saturn), the centre of incipient subsidence for the belt 

 of greatest condensation (Mars), and the central system in the belt of 

 greatest condensation (Earth and Moon), is shown by the proportion 



Taking Bessel's estimate, m^-^m^ ^= 3501.6, with the rotary estimates 

 of Notes 313 and 316, m„ ~- m^ = 330463, 7n^ -^ /j. = 81.08, this proportion 

 gives m^ -h m^ = 3083416, which differs by less than ^ of one per cent, 

 from Hall's estimate. These repeated harmonic relations of mass seem to 

 show that every planet represents some special central tendency, and 

 when that tendency is found, the harmonic calculus will furnish estimates 

 which are generally closer than those which have been reached by the 

 ordinary astronomical methods. If this is the case with the first approxi- 

 mations, we may well hope that a due regard to secondary and subordi- 

 nate harmonies will give results of a very satisfactory character. In the 

 present instance, if we regard Hall's estimate as correct, and deduce the 

 value of Earth's mass, we find m^ -~ m^ = 331003, which is within the 

 limits of probable error. 



361. Synoptic Table. 



The six foregoing notes are, in some respects, more comprehensive in 

 their harmonic indications than any that have preceded them. I therefore 

 give the following comparative table : 



