1884.) 595 [Chase. 
of Jupiter’s half rotation = 17863,25 sec. ; 7) == Sun’s semi-diameter. 
8 
Hence V Jo % = 2 7% X 214.4518? 7) + 81558149 = 0006252614 7. 
Jp == .0000008909518 7 
Js = .00000008727 7) == .09538064 gp 
1, = .10005238 1 
1 
426, Nascent Centre of Condensation. 
The incipient subsidence of Jupiter, as indicated by the factor (1 — 2) 
J5, CoOperates with solar attraction in the formation of a belt of maximum 
condensation. Accordingly, the second planetary mass, in regard to the 
simplicity of harmonic relations, is Earth, which occupies the centre of 
the dense belt. Its distance from the Sun and its mass may be found by 
means of the equation 
V (16) 57% = (Ps + Ps) VY G5" 
The mean radius vector is designated by p, Jupiter and Earth being in- 
dicated by subscript , and , respectively. We have, therefore, 
Jn = .00607728 miles 
7, == 8962.8 miles 
V 93 73 == 4.90748 miles 
Ps” 1 a= 5.202798 
Vi (l= 6) gs == 09464615 7/9, 7% = 0000591786 7, 
7 == 481445.64 miles 
= 214.4518 7) = 92524100 miles. 
V Jo 1 = 269.766 miles 
Mg +- Ms, = 828997 
7, = 10.898 x, 
Ps 
427. Nascent Nodal Harmonies. 
The formation of a belt of maximum condensation, by the action and re- 
action of subsidence and rotation between the two principal masses of the 
system, establishes the conditions which are requisite for nodal harmonies of 
various kinds. One of the simplest harmonic series is ?, 3, 2, etc. The cen- 
tre of linear oscillation adds its influence to the natural rhythmic tenden- 
cies of the second of these nodes. Both the moment of rotary inertia of a 
thin spherical shell and the nodes of aggregating collision in condensing 
nebul* also introduce the factor 3, and the moment of a rotating ethereal 
or other homogeneous sphere introduces the factor 2. Moments of inertia 
vary as distances of projection against uniform resistance ; we may, ac- 
cordingly, look for the frequent recurrence of the factors ? and , in the 
harmonic rupturing nodes of condensing and rotating nebule, especially 
in the neighborhood of the most important centres of condensation. 
*Proc, Am, Phil, Soc., xvil, 99. 
