Chase.] 



592 



[Jan. 



362. The Terrestrial Series. 



The above table introduces two geometrical series ; the first having the 

 ratio X, and having for one of its terms a solar radius-vector for Earth, 

 similar to the one for Jupiter in Note 355 (1 + § £3 = 1.02358). 



a 



IT CO 



r? a 



Harmonic. 



.32548 



1.02254 



3.21240 



10.09201 



31.70514 



99.60465 



312.91727 



Mercury, mean perihelion. 

 Earth, 1. c. o. of sec. ecc'y, 



Photic radius, 



P^' 



Observed. 

 .31873 

 1.02258 

 3.21240 

 10.00006 

 31.70514 

 100. 



Saturn, mean aphelion, 

 Neptune, p^, 

 -n^a 99.60465 Forbes, I, Note 32, 



Forbes, II, Note 32, 300. 



This series includes the inner and outer principal planets, the centers 

 of planetary inertia and of maximum condensation, the photic radius, and 

 the two supra-Neptunian belts of cometary aphelia. Tlie planetary loci 

 are those of my first anticipatory series {Proe. Amer. Phil. Soc, xiii, 140), 

 with such modifications as represent the photic radius and the linear centers 

 of oscillation of Earth and Jupiter. Each of the two-planet belts is indi- 

 cated, and the photic radius precisely marks the locus of Asteroid 108. It 

 also differs by less than ^ of one per cent, from a mean proportional be- 

 tween Earth's semi-axis major and Saturn's locus of incipient subsidence 

 (3.21609 p^). 



363. The Sfellar-Photic Series. 

 The second geometrical series of Notes 355-61, has the ratio -^ and has, 

 for two of its terms, a stellar locus and the solar modulus of light. 



.5135 Sun's semi-diameter, 

 5.0683 Sun's semi-diameter, 

 I Mercury's sec. aph., 

 Mean prop. Jupiter and Earth, 

 f Neptune's mean aph.. 



Observed. 



.00239 



.02363 



.23840 



2.28096 



22.75153 



Solar modulus of light, 2213.1381 



Photic projectile radius, 21842.804 



a Centauri, 215579.86 



The planetary indications are not quite so satisfactory as in the foregoing 

 series, but the deviations are of the same order of magnitude as planetary 

 eccentricities. Neptune's mean subsidence locus indicates a solar nebular 

 density corresponding to Laplace's limit, for a rotating nucleus with a semi- 

 diameter equivalent to rs/?. Mercury's primitive subsidence-locus indi- 

 cates a degree of "viscosity " which would give a rupturing tendency at 

 a mean proportionate locus between Sun's viscous rupturing locus and 

 TT j3. The mean proportional between these two loci is also a mean pro- 

 portional between Earth's primitive subsidence-locus and Jupiter's mean 

 projectile-locus. The deviations from exact accordance, according to 



