y_{i+1} = y_{i} + v_{i}dt

y_{i+1} = y_{i} + v_{i+1}dt

y_{i+1} = y_{i} + 0.5(v_{i} + v_{i+1})dt

y_{i+1} = y_{i} + \frac{1}{6}(k_{1} + 2k_{2} + 2k_{3} + k_{4})dt

\begin{aligned}E_{0} & = KE + GP E \\ & = \frac{1}{2}mv_{0}^{2} − \frac{GM_{E}m}{(R_{E} + H)} \end{aligned}

f ≡ |\frac{E_{f} − E_{0}}{E_{0}} |

log(f) = a + b log(dt)

f = 10^{a} (dt)^{b}