Chase. ] 344. {March 1, 
Gummere’s criterion gives the following results of internal rupture, 
starting from the theoretical origin of Neptune’s present orbital v/s viva. 
In each instance, the theoretical angular velocity of revolution, for the 
dense inner planet, must have been (11.6569)? times as great as the angular 
velocity of the undisturbed portions of the gasiform rotating nebula : 
Theoretical. Observed. 
20, 0 5.204 Ys, 5.203 
U,+n 2.576 93) 2.077 
64 1 1.760 o's 1.736 
63-7 1.646 ) 
Pope 7 1.637 § Sail 
2, n 931 @Q, 982 
h. +” 179 OF tbe 
h, = 7 TAD OF 149 
YY, + 7n ATS ome SOT 
Ys 2 446 %, .455 
The great density of Jupiter, as compared with Neptune; the great 
density of the intra-asteroidal, as compared with the extra-asteroidal 
planets; the position of Earth, in the centre of the belt of greatest planet- 
ary condensation ; the connection (7) between the positions of Jupiter’s in- 
cipient and Earth’s complete condensation ; the fact that Jupiter is the 
largest extra-asteroidal, while Earth is the largest intra-asteroidal planet ; 
the further evidence of an intimate connection between Jupiter and Earth, 
which is furnished by the equivalence of their dissociative velocities ; the 
probability, so far as we can judge from Sun’s present nebular radius (,), 
that all the planets were formed when their orbital revolution was accom- 
plished in less time than the rotation of the solar nucleus ; all point to the 
increments of wave velocity and of centripetal velocity as a source of in- 
terior nebular rupture, giving a new meaning to Herschel’s doctrine of 
‘«subsidence,’’ and making the inner moon of Mars a confirmation, rather 
than a formidable objection, to the nebular hypothesis. 
The tendency to synchronous oscillations under the action of central 
forces, which LaPlace, Peirce, and Kirkwood have so happily adduced in 
explanation of some of their planetary harmonies, is shown (1) in the 
synchronism of solar rotation with the time of passage of a light-wave 
through the major-axis of the Modulus-atmosphere ; (2) in the synchron- 
ism of planetary revolution at Sun with the time of passage of a light-wave 
through the major-axis of the Uranus-Earth ellipse ; Earth being the cen- 
tre of the belt of greatest condensation, and Uranus having a radius-vector 
ene j M 
which is a mean proportional between M and p,, as well as between — and 
2 @,. n 
For readers who are inclined to test numerical coincidences by the cal- 
culus of probabilities, I have marked the errors, in the general table, both 
by their deviations from the nearest apsis and by the deviations from the 
