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Andrew Magalich edited Now_substituting_the_constants_of__.tex
almost 8 years ago
Commit id: 07303160718c16ffde1e666fafe0cf1ee482c1d3
deletions | additions
diff --git a/Now_substituting_the_constants_of__.tex b/Now_substituting_the_constants_of__.tex
index 9eb59b8..74e8d04 100644
--- a/Now_substituting_the_constants_of__.tex
+++ b/Now_substituting_the_constants_of__.tex
...
Now, substituting the constants of motion:
$$
\ddot{r}
\left(1-\frac{2M}{r}\right) = - \frac{M}{r^2}
\left(1-\frac{2M}{r}\right)^{-1} \epsilon^2 + \frac{M}{r^2}
\left(1-\frac{2M}{r}\right)^{-1} \dot{r}^2 + \frac{\lambda^2}{r}
\left(1-\frac{2M}{r}\right) \left(1-\frac{2M}{r}\right)^2
$$