1873.] ^"*< [Chase. 



face of a rotating aethereal sphere, and therefore synchronous in its 

 periods of rotation and revolution. The mean velocity of the spheral 

 synodic rotation. (2 - X 238,800 X i/.4~-s- 708.73), if reduced in the ratio 

 which would be required by solar expansion to Earth's mean perihelion, 

 (207.58), would give ^=6. 45. Combining this with the velocity of v„, 

 (65,462.4), we obtain i' 2 =664,100,000, which is still nearer to the estimated 

 velocity of light than the value deduced from solar rotation. This deduc- 

 tion appears, in some respects, more satisfactory than the one in the 

 table, but I have preferred giving them both, in order to show that all 

 rotation may probably be ultimately traceable to undulations having the 

 velocity of light, and to exhibit, at the same time, the curious confirmation 

 of my view, that "Venus may be regarded as an exterior satellite of the 

 Earth, at a limit analogous to that of the solar system " (ante, xii, 409). 



The accordance of v. 2 , for the principal planet in each of the asteroidally 

 divided belts (2/, ©), with the planetary velocity at the principal centre 

 of gravity in the entire system (0, 2/ p), is no less interesting in its way, 

 than those which I have already noticed. It may be connected with the 

 velocity of light, by conceiving a rotating aethereal sphere extending 

 to the mean of the mean aphelion distances of Earth and Jupiter 



.1.0339 + 5.4274 



( S = 3.2306). If such a sphere had the planetary velocity 



at the Sun's surface, its peripheral velocity would be 663,492,000, which 

 differs by less than one-tenth of one per cent, from the value deduced for 

 lunar v. 2 in the foregoing paragraph; and less than half of one per cent. 

 from the estimated velocity of light. 



The equivalents of v. t for Saturn and Venus, are interesting from their 

 introduction of the ratio of the quantity of heat under constant pressure, 

 to the quantity under constant volume, (1.421 : 1). xVn aethereal sphere ex- 

 tending to the linear centre of oscillation between Saturn's mean aphelion 



/2 X 5.203 + 10 

 and Jupiter's mean distance, \ » = 6.802), and rotating with 



the velocity of Saturn's v., at the Sun's surface, would have a peripheral 

 velocity of 661,659,000, which differs by less than one-fifth of one per cent, 

 from the estimated velocity of light. A similar sphere for Venus, limited 

 by the mean between the same Saturnian centre of oscillation and 

 Earth's mean distance, (^ + J = 3.83), would have a peripheral velocity 

 of 659,608,000, differing less than one-eighth of one per cent, from the 

 luminous velocity. 



The values of v 2 for the exterior planets of the Telluric belt, (#, q'), 

 are in simple harmonic relations to the planetary velocity at the Sun (£ ©) 

 and to Venus' s v 2 (£ 9). The radii, of the aethereal spheres which are 

 determined by the peripheral velocity of light and the solar superficial 

 velocity of v,, are dependent on the mean aphelion reverse linear centre 

 of oscillation of Saturn (^ of 10) and the mean distance of Jupiter, for 



Mercury, / _U_ ^ ~^~ \ and Saturn's mean perihelion reverse centre of li- 

 near oscillation (| of 9.078) and Uranus's mean aphelion (20.0432) for Mars, 



