Chase.] iJJi [Feb. 6, 



If, in consequence of points of inertia, centripetal undulations are es- 

 tablished, resulting in a motion of ajthereal particles around the centres 

 of inertia, and an accompanying impulsion of denser particles towards 

 the centres, the mean velocity of the circular motion would be one-half 

 as great as that of the originating impulse, and ^ as great as the mean 

 velocity of centripetal impulsion. 



If a homogeneous rotating globe were aggregated under such centri- 

 petal imj)ulsion, the angular orbital velocities of all the particles of the 

 globe would be equally retarded. Rotation is, therefore, merely retarded 

 revolution, and in endeavoring to trace them both to their source, we 

 should compare them at the point of equality. 



"We know that the hypothetical universal medium is susceptible of 

 undulations, which are propagated with the velocity of light. Therefore 

 let— 



V ''' =^ velocity of light, ^ 2 X hypothetical mean velocity of sethereal 

 primary rotation, the velocity communicable by the infinitesi- 

 mal impulses varying between and Y^. 



^J ^ 2 V^ 



_ _- X --_ mean velocity of a perpetual radial oscillation, syn- 



TT 71-2 



chronous with a circular orbital oscillation having a velocity 



= 1^ 



y =: ~ r= velocity of planetary revolution at the Sun's equator, under 

 the volume due to internal work. 



_!, = velocity of solar equatorial rotation, under the volume due 

 ^ = -n' 



to internal work, = mean velocity of an oscillation through 

 Jupiter's radius vector synchronous with Jupiter's revolution 

 around the Sun ; Sun and Jupiter being regarded as constitu- 

 ting a binary Star. 



y/// __ 4Y// :^ mean velocity of a perpetual I'adial, or infinitely eccen- 

 tric oscillation, synchronous with the revolution of the binary 

 Star around its centre of gravity (374335329 seconds) = mean 

 velocity of the binary Star in space. 



T',T" = time of revolution, rotation, for V, V". 



t', t" = " " " Earth. 



^', T-'/ z= " " *' Jupiter. 



o "y-^ 2 V 2V 



, ; __.. =^ equatorial g, at Sun, Earth, Jupiter. 



T" t" t" 



V 



^ = ratio of the integral of infinitesimal impulses during revolution in 

 a circular orbit, tt'"^, to the integral of similar impulses during 

 fall from circumference to centre of same orbit. 



