Chase.] 126 (May 18, 
It will be seen from (43) that the second locus of spherical rotary projection 
from py, (2°55 X 25, = 20°0795p,), is within the secular orbital range 
of Uranus. The cardinal centre (40) is the centre of gravity, at conjunc- 
tion, of Saturn, and Jupiter, It represents, therefore, the locus of mean 
rotary momentum for their combined masses, at the time of Jupiter’s in- 
cipient rupturing subsidence, according to Herschel’s modification of the 
nebular hypothesis. 
392, Further Relations of the Cardinal Centre. 
The cardinal centre, which introduces the series in the foregoing note, 
also represents important relations to the following additional virial loci : 
pe = V Xmp? + Sm ee 9.24430, 47 
Pe —= Sno <b: NG een 7 BR 2805 A8, 
po = =} Gaturn,+ Jupiter,) = T5291, 49, 
pe = =} (64451 + 82717) = 7°3584p, 50. 
Pe + Neptune, == 750845, 51. 
The locus of mean planetary nebular inertia (47) is in Saturn’s orbit, 
where the rings, the satellite system and the specific gravity bear witness 
to the results of nebular condensation. The locus of mean planetary 
nebular momentum (48) approximates closely to the arithmetical mean 
between Saturn, and Jupiter, (49), to the arithmetical mean between the 
cardinal centre and the incipient virial locus of spherical rotation for 
Uranus (50), and to the virial locus for the mean linear momentum of Nep- 
tune’s semi-axis major (51). 
393. Primitive Virial Influence on Mass. 
The virial radius of mean momentum not only determines the centre of 
gravity of the two chief planetary masses (15), (40), but it also determines 
the relative masses of Sun (m,) and Jupiter (m;) at initial nebular rupture 
(secular perihelion). We find, accordingly, 
MoNy T= MsPos1 52. 
Stockwell’s estimate of Jupiter’s secular eccentricity is 0608274, This 
Zives ps, —= 9891726 K 5-2 2798 « 214°45 == 1047°8727,. Therefore (52) : 
mM, == 1047.872 m, 53 
Bessel’s estimate is 1047879. This harmony is the more significant be- 
cause Jupiter’s nebular locus of incipient rupture (4°8863) is central be- 
tween the loci of incipient subsidence of Uranus (20°6792) and Neptune 
(30°4696) at opposition. 
Po = + Pos — Pos) 54. 
394. Successive Orders of Photodynamic Influence. 
While Jupiter traverses the primitive nebular centre, Earth traverses the 
centre of the belt of greatest condensation. 
} 
y (pvr + Pus) = ps BA. 
