for steady motion, is also plotted as p - p^, on an arbitrary scale. It is shown along the 

 ^-axis, then over the ellipsoid, where p = p^ &i x = 0.807a, and along the y-axis, where 

 negative values are plotted horizontally toward the left. 



Case 3, Translation of a Prolate Spheroid Perpendicularly to Its Axis of Symmetry 

 at velocity V toward positive ?/ or oj = 0; see Figure 231. 



1/2 



1/2 



c 



le-i 



- — In 



C-1 



cos w, [1371'] 



' 1 1 + e e(l -2e/-) 



— In 



1 - e 



[137m'] 



1 - e' 



As e->l, and Cr^-*^^ the logarithmic term becomes unimportant and Aj->0, Aj/(l-e )->l. 

 As e -* and 4„ -» oo, e^ h^ -» 3/4, as appears from Equation [137y] and the expansion, 



\ 





- 1 - — 1- — 



[137n'] 



Figure 231 - Diagram for translation of a prolate spheroid in the direction of a minor axis. 

 The foci are shown by dots. See Section 137, Case 3. 



352 



