deletions | additions       diff --git a/When_e_1_e_2_e_3_R__.tex b/When_e_1_e_2_e_3_R__.tex  index 9b9c373..3403ad3 100644  --- a/When_e_1_e_2_e_3_R__.tex  +++ b/When_e_1_e_2_e_3_R__.tex 
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\section{Analytical solution}  When $e_1=e_2=e_3=R$ we can solve $E(t)=0$ analytically.  $$  y_1^2+y_2^2+y_3^2-(t+R^2)^2=0 
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Note: We consider the positive $t$. Negative $t$ corresponds to the point $\tilde{x}$ on the other side of the ellipsoid.