Commit 5b055e8a by Matthieu Schaller

### Improvements to the gravity derivative descriptions in the TeX document.

parent c07c0c94
 ... ... @@ -18,8 +18,10 @@ by constructing derivatives of the truncated potentials: \chi^{(4)}(r, r_s) &= \frac{16}{r_s^4} \left(48\alpha(x)^5 - 120\alpha(x)^4 + 100\alpha(x)^3 -30 \alpha(x)^2 + 2\alpha(x)\right) \nonumber \\ \chi^{(5)}(r, r_s) &= \frac{32}{r_s^5} \left(240\alpha(x)^6 - 720\alpha(x)^5 + 780\alpha(x)^4 - 360\alpha(x)^3 + 62\alpha(x)^2 - 2\alpha(x) \right) \nonumber \end{align} We can now construct common quantities that appear in derivatives of multiple orders: In the Newtonian limit ($r_s\rightarrow\infty$) the first expression reduces to $\chi(r,r_s) = 1$ whilst all higher-order derivatives vanish. We can now construct common quantities that appear in derivatives of multiple orders: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{align} ... ...
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