PythonでScientific Programmingプチテク集 - Qiita

\begin{align} \dfrac{d x}{d t} &= \dot{x} \\ \dfrac{d y}{d t} &= \dot{y} \\ \dfrac{d z}{d t} &= \dot{z} \\ \dfrac{d \dot{x}}{d t} &= \dfrac{d^2 x}{d t^2} = 2\dot{y} +x -\dfrac{1-\mu}{r_{1}^3} (x+\mu) + \dfrac{\mu}{r_{2}^3} (1-\mu-x) \\ \dfrac{d \dot{y}}{d t} &= \dfrac{d^2 y}{d t^2} =-2\dot{x} + y -\dfrac{1-\mu}{r_{1}^3}y - \dfrac{\mu}{r_{2}^3}y \\ \dfrac{d \dot{z}}{d t} &= \dfrac{d^2 z}{d t^2} =-\