this is for holding javascript data
Ghlen Livid edited vec_v_t_vec_v__.tex
almost 8 years ago
Commit id: eb38da3789205189216d6a7cd5d1c1c6969b8cfd
deletions | additions
diff --git a/vec_v_t_vec_v__.tex b/vec_v_t_vec_v__.tex
index 7a24028..70559b1 100644
--- a/vec_v_t_vec_v__.tex
+++ b/vec_v_t_vec_v__.tex
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Let's show that basic Verlet follows from Velocity Verlet:
$$\vec{v}(t) = \vec{v}(t - \Delta t) + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t$$
$$\vec{x}(t + \Delta t) = \vec{x}(t) + (\vec{v}(t - \Delta t) + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t) \Delta t + \frac{1}{2} \vec{a}(t) \Delta t^2$$