deletions | additions       diff --git a/PH1 stable?.tex b/PH1 stable?.tex  index 4847df9..1f1f1a1 100644  --- a/PH1 stable?.tex  +++ b/PH1 stable?.tex 
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$a_c =[0.464+(-0.380).211 +(-.631).0539+(.586)(.211) .0539 +.15(.0539^2)$  $+(-0.198)(.211) .0539^2 ].1744=0.0622$  So, For the inner region, the test particles with a semimajor axis less than the critical semimajor axis were stable so,  $a \stackrel{?}{>} \stackrel{?}{<}  a_c$, \begin{equation}  0.634 \stackrel{\checkmark}{>} 0.0622! \nless 0.0622  \end{equation}  This means for an inner region orbit the planet would not  be stable. however, However,  the planet is orbiting both of the binary stars which means it is an outer orbit so we will next determine its stability with outer region calculations. \subsection{Semimajor Axis Outer Region}  The planet's semimajor axis, eccentricity, the stars' mass ratio, and semimajor axis are all the same as in the last equation. Using Holman & Wiegert's outer region best fit line: $a_c =1.6+5.1e+(-2.22)e^2 +4.12 \mu +(-4.27)e \mu +(-5.09)\mu ^2 +4.61e^2 \mu ^2 $ we get