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and a vector potential $$\vec{A}(\vec{r})=\frac{a^2qe^{-\gamma t}}{4\pi\epsilon_0r^4}\left(3\cos\theta\hat{r} + \sin\theta\hat{\theta} \right) .$$

how do I interpret the constants ##a## and ##\gamma##. Do they have any physical meaning or are they arbitrary, unmeasurable values?