File:Gravityeq.png

Summary

Gravity potential energy equation. Rendered using TexVC, edited to merge images and line =s up.
Source code:
P=\int_\infty^{r_o}g\,dr=\int_\infty^{r_o}-\frac{Gm_1m_2}{r^2}\,dr
=-Gm_1m_2\int_\infty^{r_o}\frac1{r^2}\,dr
\left.=-Gm_1m_2\left(-\frac1r\right)\right|_\infty^{r_o}
=-Gm_1m_2\left(-\frac1{r_o}-0\right)
=-Gm_1m_2\left(-\frac1{r_o}\right)
P=\frac{Gm_1m_2}{r_o}

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