Prof. P. E. Chase on the Nebular Hypothesis. 365 



dense inner planet, must have been (11*65684)'"* times as great 

 as the angular velocity of the undisturbed portions of the gasi- 

 form rotating nebula. The common divisor for the quantities 

 in the dividend column is n. 



Dividend. 



Quotient. 



Pact. 



2"H^ 



5-204 



2-576 



1-760 

 1-646 1 

 1-637 J 

 •931 

 •779 

 •749 

 •473 

 •446 



5-203= 2£ 3 



2577 @ 

 1-736 So 

 1644 c? 4 



•932 e 1 



•774 ? 5 

 •749 ? 4 

 •477 $ 5 

 •455 £ 4 



V, 



ft, 



ft, 



2b Q 



221, 



h 



k ..... 



21. 



2i 





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 planetary condensation, the rupturing- 

 relation (n) between the positions of Jupiter's incipient and 

 Earth's complete condensation, the fact that Jupiter is the 

 largest extra-asteroidal, while Earth is the largest intra-aste- 

 roidal planet, the further evidence of a primeval intimate 

 connexion between Jupiter and Earth which is furnished by 

 the equivalence of their dissociation velocities, the probability, 

 so far as we can judge from Sun's present nebular radius (p ), 

 that all the planets were formed when their orbital revolution 

 was accomplished in less time than the rotation of the solar 

 nucleus — all point to increments of wave-velocity and of cen- 

 tripetal velocity as sources of interior 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. 



Adams and Leverrier found, as the result of their calcula- 

 tions, that the disturbances of Uranus might be explained by 

 the action of a planet, of a given size, in a certain position. 

 The planet was found nearly in the direction indicated, but at 

 three fourths of the anticipated distance, and having about 

 three fifths of the anticipated magnitude. The laws of gravi- 

 tation do not determine the reciprocal perturbations of cosmical 

 orbs by a more inexorable mathematical necessity than that 

 which connects the activities of M, tt, and n in an elastic me- 

 dium like the hypothetical luminiferous aether. 



The tendency to synchronous oscillations under the action 

 of central forces, which Laplace, Peirce, and Kirkwood have 



