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Calculate $S$ factor and Mass Estimate


\begin{displaymath} S(\hat{r}) = \left(\frac{\partial\hat{r}}{\partial r}\right)^2 \int \gamma_{rr} \ d\theta d\phi \end{displaymath} (part3123)


\begin{displaymath} M(\hat{r}) = \hat{r}\frac{1-S}{2} \end{displaymath} (part3124)