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Andrew Magalich added As_we_should_find_the__.tex
almost 8 years ago
Commit id: 84c7b6027d8027183c68e0c05809074d3cefc25e
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As we should find the \textit{circular} orbit, $\dot{r}$ necessarily is $0$ and
$$ V(r) = \epsilon^2 - 1 $$
$$
V(r) = - \frac{2M}{r} + \frac{\lambda^2}{r^2}} (1 - \frac{2 M}{r} ) = -\frac{2M}{r} + \epsilon^2 \omega^2 (1-\frac{2M}{r})^{-1}
$$