Chase, ] 6 1 0 [April 18, 
lus of light at Sun’s surface ; Laplace’s limit, L = 218.833! 7, = 86.3147,. 
An additional linkage of Sun, Earth, Jupiter and Neptune is shown by 
the proportion ; 
Lt ps? pga} Pear 
In this proportion ,,, p,, represent secular perihelion of Harth and 
Neptune, respectively. Substituting Stockwell’s value of p,, gives p,, = 
29.680,. Stockwell’s estimate is 29.'78p,. 
469. Another Linkage of Jupiter and Harth. 
Let va = vis viva of circular orbital revolution which Jupiter, when at — 
mean aphelion, would be able to give to a particle at the centre of the 
solar system = m,;” -- og; V;= molecular ois viva which Earth would 
be able to communicate to the same particle = % (m,’ + py); Va == ve- 
locity of light; 0, = circular orbital velocity of a particle at the chief 
centre of condensation in the solar system (Earth). Then we find vg : 
V, 2:10. Substituting the harmonic values of Harth’s mass and of the 
constant of aberration, with Stockwell’s estimate pg + p; = 5.427351, we 
find va + v, = 10067.61 ; ms + my = 818.61; my + m; = 1049.69, which 
differs by less than ;!; of one per cent from the value which was deduced 
in Note 462. This relation shows that, when nebular subsidence and 
luminous undulation had established incipient orbital motion around the 
Sun at Jupiter’s mean aphelion, the actions and reactions among nuclea) 
centres established the molecular motion, at the chief centre of density, 
which resulted in Earth’s orbital oscillation. The first indication of the 
importance of the factor 2 appears to have been given by me (Proc, Amer, 
Phil. Soc. xii, 394). Maxwell subsequently adopted it (P. Mag., June 
and Sept., 1877, pp. 453, 209) without leaving any record of the source 
from which he derived it, or of the reasons upon which it was based 
In all of my investigations my first inquiry is, what obvious radial or 
tangential velocity, momentum, or os viva is there, which would be likely 
to operate in producing or maintaining such exactness of cyclical harmony 
as is necessary for the stability of the system, The first trial usually 
gives some clue which suggests the next. These alternations, between 
Baconian observation and the ‘‘scientific use of the imagination,’”’ have 
been rewarded by frequent confirmations of predictions which [ had haz- 
arded and recorded weeks, months, or years, before they could be sus- 
tained by any known data. 
470. Dense-Belt Projection. 
The interstellar parabolic trajectories, which have tangential directices 
at Sun’s surface, and a common focus at Sun’s centre, have a vertical 
" ‘ ‘ ; 
locus at ~5. The length of the luminous undulation which becomes 
2 
semi-circular in solar rotation is x79, The sum of these two centrifugal 
