Chase. ] 600 [April 18, 
440, Linkage of KHarth and Neptune. 
It was shown in Note 428 that Earth’s mass may be harmonically de- 
duced from Sun’s mass through its limiting value of circular orbital ve- 
locity. Neptune’s mass may be deduced from Earth’s through the cor- 
responding limit of orbital time. We have, accordingly, mg : m3 ::ta it, :: 
rm 
16.98: 1. In this proportion f¢ = 2x / 3 ig =a sidereal day. 
441, Harth’s Oblateness. 
The importance of Earth’s position, at the centre of the belt of greatest 
condensation, is further shown by the fact that its centrifugal force of 
daily rotation, by which it is harmonically connected with Neptune, has 
also determined its oblateness. For we find that (fq tg)” = 288.4. 
Listing’s estimate (See Note 249) is 288.5. 
442. Linkage of Rarth and Uranus. 
Another interesting connection between the dense belt and the outer 
twin-planet belt, is shown by the proportion, 865.2565 : 338.2183 + + 4’ : 
po In this proportion, 338.2183 is the distance, measured in Harth’s semi- 
diameters, at which a satellite particle would revolve in a solar year ; 
po is the secular aphelion distance of Uranus, while pg is its mean distance. 
This relation is also interesting because the aphelion of the 83.25 year me- 
teoric belt is in the orbit of Uranus, and because a ray of light would tra- 
verse the same meteoric orbit in the time of one solar rotation, The pro- 
portion gives, for the secular aphelion of Uranus, 1.07994. Stockwell’s 
estimate is 1.07797. 
448, Another Linkage of Harth and Jupiter. 
Tn notes 425 and 426, the gravitating accelerations of arth and Jupiter 
were shown to be harmonically related to each other, as well as to the 
gravitating acceleration of the Sun, The moon furnishes another har- 
nonic link, which is shown by the equation 
60.2778 « 5.202798 x 1047.879 == 3828629. 
In this equation 60.2778 is von Littrow’s estimate of Moon’s mean dis- 
ance in equatorial semidiameters of the Earth; 5.202798 is Jupiter’s 
mean distance, in Earth’s mean veetor radii; 1047.879 is the quotient of 
Jun’s mass by Jupiter’s mass; 828629 is, within less than 4 of one per 
cent, the harmonic quotient of Sun’s mass by Earth’s mass. 
444, The Meteoric Theory of World Building. 
Proctor (North American Review, May, 1884) criticises the theory of 
Olbers, which has been lately advocated by Herbert Spencer, and consid- 
‘rg that the asteroidal belt has been formed by meteoric influence, in con- 
nection with the attraction of Jupiter, rather than by the explosion of any 
primitive planet. In many of the foregoing notes there has been evidence 
