# Difference between revisions of "Velocity Verlet algorithm"

The Velocity Verlet algorithm, for use in molecular dynamics, is given by [1]:

$r(t + \delta t) = r (t) + \delta t v(t) + \frac{1}{2} \delta t^2 a(t)$
$v \left(t+ \delta t\right) = v(t) + \frac{1}{2} \delta t [ a(t) + a(t+\delta t)]$

where $r$ is the position, $v$ is the velocity, $a$ is the acceleration and $t$ is the time. $\delta t$ is known as the time step.