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Basic form of Velocity Verlet is as follows:  $$\vec{x}(t + \Delta t) = \vec{x}(t) + \vec{v}(t)\, \vec{v}(t)  \Delta t + \frac{1}{2} \,\vec{a}(t) \vec{a}(t)  \Delta t^2$$ $$\vec{v}(t + \Delta t) = \vec{v}(t) + \frac{\vec{a}(t) + \vec{a}(t + \Delta t)}{2} \Delta t$$