Chase.] 5 JO [jan. 19, 



radius (o^ = ^,^ r^ -~ r„ = 688.936 f,J is a mean proportional between 

 Earth's semi aais major and Saturn's incipient subsidence locus (2218.2^ P„ 

 = 10.343253 p..) witbin less than ^ of one per cent. A mean proportional 

 between p^ aad p^ is also a mean proporlional between p^ and p^. Hence 

 we see that Sun's radius, Earth s ladius-veclor, the photic radius, as well 

 as the original nucleal and limiting radii of the system, are all represented 

 through their harmonic influences upon the belt of mean planetary inertia. 



357. Stellar Relations of Primitive rhotodymimis Loci. 



In whatever way we may regard these many indications of harmonic 

 influence upon planetary positions and orbital pe"iods, whether as furnish- 

 ing evidence of early nebular condensation or of nebular activities which 

 still continue, we can hardly believe that they are confined to our imme- 

 diate system. The nearest companion system being that of a Centauri, 

 we need feel no surprise at finding tbat p^, is a mean proportional between 

 Sun's radius and the distance of « Centauri, and p^^ is a mean proportional 

 between the solar modulus of light and the distance of a Centauri. The 

 distance which is thus indicated diffe/s by less than ^ of one per cent, 

 from the one which was deduced from the corona line and the masses of 

 Earth and Ji^o'le/ (Note 46). The photic radius is, of course, a mean 

 proportional between Sun's radius and the solar modulus of light. 



358. Plwtodynamic Relations of the Neptunian System. 



Stockwell {Wash. Obs., lor 1873, App. I), deduced two values for the 

 quotient of Sun's mass by Neptune's mass, viz.: 19700 from perturbations 

 of Uranus, and 19380 ± 70 from Neptune's satellite. The former value may, 

 perhaps, indicate the mass of the planet ; the latter, the mass of the Nep- 

 tunian system, including the satellite which has already been discovered, 

 together with any others which may be yet unknown, and one or more 

 possible remote planets. The orbiial period of the primitive projectile 

 radius (Note 355) is 19613.1 times Neptune's orbital period. Designating 

 these periods by t^ and ^g, respectively, we have the approximate har- 

 monic proportion, 



t„ -.t^: : 19613.1 : 1 : : w, : m^. 



This value is intermediate between Stockwell's two estimates, differing 

 but I of one per cent, from their mean, but li per cent, from the smaller 

 and but ^ of one per cent, from the larger estimate. As the proportion 

 is based upon time-integrals which must be operative, this closeness of ac- 

 cordances is interesting. 



359. Phyllotactie Relations of Earth and Neptune. 



To the harmonic relations which I have already pointed out, between 

 the planetary masses at the centre of incipient subsidence (Neptune) and 

 at the chief centre of nucleation, may be added a very simple phyllotactie 

 relation, which is shown by the proportion, 

 m^ : ?«8 : : 2 : 34. 



