deletions | additions       diff --git a/ddot_r_frac_M_r__.tex b/ddot_r_frac_M_r__.tex  index 18ef7e6..9a47b29 100644  --- a/ddot_r_frac_M_r__.tex  +++ b/ddot_r_frac_M_r__.tex 
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$$  \ddot{r} = - \frac{M}{r^2} \left(1-\frac{2M}{r}\right) \dot{t}^2 + \frac{M}{r^2} \left(1-\frac{2M}{r}\right^{-1} \left(1-\frac{2M}{r}\right)^{-1}  \dot{r}^2 + r \left(1-\frac{2M}{r}\right) \dot{\t}^2 \omega^2 $$