Original and Actual Fluidity of the Earth and Planets. 255 



Combining this with the assumed equation, 



xdx ydy zdz 

 a- 0- c 



we find the following equations of condition, 



A+§=il + X'^-)(c+§-.^); 



Substituting in these the values oi A, B, C, and making 



E a' 

 3<p = 



we obtain 







(1) 



But since ^ = «, by the third law of Kepler, equations ( 1 ) become simply 



d.X'L 



Z + = (1 + X''-) 



i + , = (,+V)(i^_3,) 



d\' ' 



If the definite integral L be expanded, it becomes 



^ 1 /I v+\'^ /1.3 \^+\'* 1.1 vv^ . 



substituting this value in (2), and neglecting quantities higher than X^, X'^ we 

 find, 



V = 300, X'^ = V-0 ; 



