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How can I create this springy oscillating motion chasing / orbiting the mouse?

I'm trying to recreate this motion, I think most of the motion is based on this formula \begin{eqnarray} x(t) &=& A e^{-\gamma t/2} \cos(\omega t - \phi) \\ y(t) &=& B e^{-\gamma t/2} \cos(\omega t - …
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