deletions | additions       diff --git a/PH1 stable?.tex b/PH1 stable?.tex  index a147aae..cc6adf6 100644  --- a/PH1 stable?.tex  +++ b/PH1 stable?.tex 
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\item use Holliday and REsnick's simulation results to compare PH1b's inclination and eccentricity with that of the expected stability zones.  \end{itemize}  \subsection{Semimajor Axis Inner Region}  The planet's semimajor axis is approximately 0.634 AU. The eccentricity is $e \approx 0.0539$, and the mass ratio is $\mu=m_2 /(m_1 +m_2 )=0.408/(1.528+.408)=.211$. The binary semimajor axis is $a_b =0.1744$. So, using Holman & Wiegert's best fit equation: $a_c =[0.464+(-0.380)\mu +(-.631)e+(.586)\mu e +.15e^2 +(-0.198)\mu e^2 ]a_b $ we can find the critical semimajor axis,   \begin{equation}  a_c =[0.464+(-0.380).211 +(-.631).0539+(.586)(.211) .0539 +.15(.0539^2) +(-0.198)(.211) .0539^2 ].1744=0.0622  \end{equation}.  So, $a \stackrel{?}{>} a_c$,  \begin{equation}  0.634 \stackrel{\checkmark}{>} 0.0622  \end{equation}!  This means for an inner region orbit the planet would be stable. 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.