Chase.] o7b [April 17, 



trie ratio, the projectile velocity which represents thermo-dynamic energy 

 at Sun's surftice, and the projectile velocity which represents the maxi- 

 mum energy both of constrained rotation and of free revolution in the 

 solar system. 



The greatest constant energy of free revolution, which can be given to 



p, by solar attraction, is ^l!k' i\ being the velocity of circular orbital 



revolution at the Kantian radius r^, where solar rotation and orbital revo- 

 lution are synchronous. The same energy would give synchronous radial 

 or elliptic revolution through or about a major axis 2r^, under gravitating 

 acceleration varying inversely as r"^. 



The energy which would be required to produce synchronous radial 

 oscillation, under the constant gravitating acceleration, g^, would be 



t:^ times as great, or — ^ — • 



The energy which would be required to produce constant radial oscilla- 

 tion in the region of maximum solar gravitation and coercitive force (at 



Sun's surface) would be A;* times as great, or ■ — = — - — , A; being the 



3 * 



ratio of the Kantian radius to the solar radius. 



The time which would be required to communicate this maximum energy 

 is t^, the time of virtual projection against uniform resistance, in the region 

 of greatest solar energy, which is also the time of solar half rotation, as 

 well as the minimum time of synchronous elliptic, circular and radial 

 oscillation in the solar system. 



The ordinary thermal and gravitating units may be deduced from the 

 general unit by means of the equations 



In the second of these equations T represents the mass of water which 

 could be heated one degree by /j. of oscillating luminiferous aether, or the 

 number of degrees to which /x of water could be heated ; g^, gravitating 

 acceleration at Earth's equator ; 7i, the linear dimension of the mechani- 

 cal unit of heat. 

 The harmonic values are as follows : 



m^ = 329414 ?«, 



r„ = 108.923 r^ 



5r„ = 27.765 ^3 



»o = 185500 miles per second. 



g == 32.033 feet per second. 



T = 10,775,492,000,00000. 



T = 



