581 



1 Jan. 19, 



343. Secondary Harmonies of Planetary Mass and Position. 



The data of the foregoing note are sufficient for approximate determina- 

 tions of the respective masses at the chief centres of nucleation, condensa- 

 tion, nebulosity, and rotary planetary inertia, (Sun, Earth, Jupiter and 

 Saturn). The division of the outer two-planet belt, and the separation of 

 Venus from the primitive interior belt were determined by simple rela- 

 tions of vector-radii, which may be regarded as indicative either of photo- 

 dynamic time or photodynamic ms viva. 



^. The radii which determined the aphelion and perihelion masses of 

 the outer belt were, respectivel}'-, the aphelion and perihelion loci, or the 

 loci of incipient subsidence and incipient projection, at the inner limit of 

 the belt (Note 315). 



■fj. The radii which determined the relative masses of Earth and Venus 

 were, respectively, the mean radius-vector and the locus of incipient sub- 

 sidence of the respective planets (Note 313). 



343. Centripetal Approximations 



If we take the phyllotactic estimates of Mercury and Mars (Note 340), 

 with the gravitating or centripetal estimates of the other planets, and of 

 solar and tcthereal density (Notes 341-2), we find the following approxi- 

 mations, which may be compared with those of Notes 325 and 328 : 



Sun -~- Mercury, 

 Sun — Venus, 

 Sun ^ Earth, 

 Sun -■=- Mars, 

 Sun -r- Jupiter, 

 Sun -H Saturn, 

 Sun -=- Uranus, 

 Sun -7- Neptune, 

 Density of Sun -~- Earth 



Computo.rl. 

 4885751 

 427240 

 33177G 

 3033500 

 1047.879 

 3.501.6 

 32600 

 19380 



Harmonic. 

 4873050 

 426731 

 330463 

 3094000 

 1047.879 

 3500.69 

 33759 

 19467 

 .35492 



Density of .^ther h- Hydrogen 106,939,930.000,000,000 

 Solar Modulus of light, 474657^„ = 3213.37^3 

 Solar Rotation, 35.5064 days 

 Orbital time at p^, 10049 seconds 

 Sun's semi-diameter, p^, 432089 miles 

 Earth's semi-axis major, n^, 92,661.550 miles 



344. 



Differeiico. 

 •j of one per cent. 



Log. = T. 4064086 

 17.0291400 

 3.3450539 

 1.4166487 

 4.0021223 

 5.6355735 

 7.9668996 



Laplace, Ilerschel and Fourier. 



Laplace's statement of the nebular hypothesis has been generally thought 

 to imply tliat the planets and satellites were thrown otf by the centrifugal 

 force of contracting nuclei. Many objections have been found to this 

 hypothesis, of which the moons of Mars furnish a striking example. 

 Herschel's theory of subsidence, by recognizing the equality of action 

 and reaction, removed these objections, provided for the recognition of 



