Chase.] 418 [Oct. 6, 



8. z = -H^^-^r^^ Z„ = 36.3497 r„ 



9. r^=: r-- ?i = 960".556 



10. r„ — (m„ --- ??2.j)S X (1 yr. -^ h)^ X o\ 



11 . i)o = ^3 ^a -^ '^'o = 8". 8094 



12. /o = 1 yr- -^ n^ = 10029 sec. 



13. d^ -~- d^ = («3 H- tj^ = .255927 



14. L„ ^ (Vo -^ «„)2 r„ =r 474028 ?-„ 



15. Corona line = 7G12 x log. 30.037 n ~ 



16 . /53 = ?ir„ = 92, 785, 700 miles 



The values of y, m^, x, z, \, L„, and the corona line, all represent photo- 

 dynamic considerations ; the other values are readily deduced from them 

 by simple radiodynamic relations. StoclcTvell's estimate oiy\% .06083; 

 the value of ?i is intermediate between those of the British and the Ameri- 

 can Nautical Almanacs ; the value of the corona line corresponds 'pre- 

 cisely with the geometrical wave-length in Note 41 ; all the other values are 

 within the astronomical limits of probable error. 



264. Further Oscillatory Relations of Venus. 



It seems not unlikely that the position of Venus, in the belt of greatest 

 condensation, may have nearly as many suggestive relations as that of 

 Earth. Tothe eight indications of Note 250, the following may be added : 



9. All the orbital loci of Venus are between a primary and a secondary 

 centre of linear oscillation for Earth's semi-axis major (§, and § -{- ^ of | 

 ^ I). Stockwell's estimates are, secular perihelion, .0722 ; secular aphe- 

 lion, .7744. 



10. The secular aphelion of Venus is nearly a mean proportional between 

 Earth's second reciprocal centre of cfecillation (| of i), and Jupiter's secu- 

 lar aphelion ; i/f >r5.l2735 = .7766. 



11. The major-axis of the nebular ellipse which marks the incipient 

 separation of Venus from Earth, 1.7744, is indicative of a successive nuclea- 

 tion for Earth's semi-axis major ; | x | = 1.7778. 



12. The mass harmony (8), introduces the principle of virtual velocities 

 into the foregoing nebular ellipse, at the beginning of subsidence for 

 Venus. 



265. Tidal Harmony. 



The tidal disturbance of Earth by Sun, during a semi-annual orbital 

 oscillation, is sufficient to give orbital velocitj' to all the particles which 

 are disturbed both by Sun and by Moon. Orbital velocity would be com- 

 municated in ~ of an oscillation, to the particles which arc disturbed by 

 Sun's tidal action. During the remainder of the oscillation a like velocity 

 would be communicated to - — 1 times as many particles. If we desig- 



