262 Mr. L. C. Jackson on a Mathematical Investigation 



Displacements perpendicular to the plane of the rings. 



Let electron C be displaced distance z perpendicular to 

 plane of rings. 



Force due to inner electrons 



— component perpendicular to plane 



rvlll — 



// 



3 in3(5)"V<^>- 



Fio-. 2. 



Edgef^-9 



Plan\ 



Displacements from orbital plane. 

 Force due to positives 



— component perpendicular to plane 



f 





\\ a 2 + r 2 -2arcos(^ -^e\y 



+ r*-2arco^+0)y j' 



Fove on displaced electron due to cometary electrons 

 — component perpendicular to plane 

 1 



= _ *2 : 



a- + di 2 — lad l cos 1 + (/> I r- " 

 1 

 \ a 2 + d 2 2 -2ad 2 cos (^ +*)T 



+ 



