510 Prof. P. E. Chase on Planetary Interaction. 



racy, varying between § and -fa of 1 per cent., as will be seen 

 by the following solutions : — 



(1) 



log 30-03386 5 ' 202 '9 8 7-687712 



„ io-ISSoSI^' 163581 - 5 ' 202 ^ 8 . . . 17-936362 



„ 5-202798 30 ' 03386 21-511361 



47-135435 



„ 9-077645 30, ° 3386+19,183581 . . . 47-148979 



(47-148979-47-135435)-K3O03386 + 19-183581) 

 = log 1-00051. 



(2) 



log30-33551 5 - 42 7 35 ' 8-043068 



„ 20-044183 2 °- 044)83 - 5M2 ' 351 . . . 19-030955 



„ 5-427351 30 ' 33551 22-284102 



49-358125 



„ 9•538852 30 • 33551+20 • 044,83 . . ..49-346714 



(49*358125-49*346714)+-(30*33551 + 20-044183) 

 = log 1-0005. 



(3), (4) 

 If 10= log of sun's mass, the logarithms of the assumed 

 mass are : — 



¥ (Newcomb, from satellite) . . 5*712646 



"^ ( j) „ perturbations) . 5*705534 



6 ( i, ) 5-645892 



h (Bessel) 6*455734 



n ( „ ) 6*979689 



Substituting these logarithms in equation (2), we get for 

 logarithm of Saturn's mass, by using 



Satellite value of log \1> . . (3) . 6*458198 

 Perturbation value of log U> . (4) . 6*456439 

 6*458198-6*455734 = *002464= log 1*0057 

 6*456439 - 6*455734= -000705 = log 1-0016. 



These relations are suggestive of the many familiar equa- 

 tions between the sums of periodic times. The substitution of 

 products for sums, and powers for products, in the distribu- 

 tion of mass and position, seems to indicate the early organi- 

 zing activity of constant forces, acting with reference to nucleal 

 centres, in elastic media. 



Philadelphia, March 30, 1876. 



