( 'hase. j 



430 



[Jan. 2, 



cal aggregations at - /■. This tendency, considering to as a centre, would 



o 



ii\ tlic boundary of the belt of retrogradely rotating planets at - ( " —~ 2 (>< i = 



9.8695jO s , or between Saturn's mean and aphelion positions, so thai Saturn 



well represents the surface of the bell of directly rotating plands. When 



the rotating wave-velocity (w) was operating in Saturn's orbit (at - \ the 

 orbital velocity £ "1 | was found at | = 7r J/' a , or in the asteroidal belt 



(3.142), nearly midway between the mean perihelion of Mars (1.403), and 

 the secular perihelion of Jupiter (4.886;, and also nearly midway between 

 Earth's secular aphelion (1.068), and Jupiter's mean distance (5.203), as well 

 as between the mean aphelia of Venus (.774), and Jupiter (5.519). The 

 next change of wave-rotating to orbital velocity brings us to Earth, the 

 central and greatest mass in the belt of greatest condensation. If we start 

 from 2", the surface of early subsidence which would give orbital velocity 

 at w , all these relations may be embodied in the equation : 

 s v. w, v '- 



(688. 84 Y 

 16.982/ 



X 



= 59.217 



r 



•(3.) 



27.785.% = g 

 By Eq. II., (9); p 3 = 92,540,000 miles. 

 [J. = 829,200/A, 



The action and reaction between the reciprocal centre (Neptune) and 

 the centre of condensation (Earth), are also shown in the ratio between v 3 

 and the velocity of terrestrial rotation (w,) : 

 v. 4.907 



.289 



= 16.982 



/J* 



.(4.: 



g. = 329,200 =19385 



;j. s 16.982 



Newcomb's estimate for Li, as deduced from observations on Neptune's 



ij. h 



satellite, is 19,380 ± 70. By combining (4) with Eq. (11) in "Further 

 Continuations of Prediction, '' * we find the equation between moments of 



reciprocal rotation t-'-\ and times of synchronous rotation and re vol u- 

 tion(2^X): 



: lb. xviii, 231. 



