# Sometimes it's slow, sometimes it's fast

A planet revolves around its star in an elliptical orbit of eccentricity $0.6$, the star being at one of the ellipse's foci.

The planet is said to be at aphelion when the distance between the planet and the star its maximum; at perihelion, when the distance between the star and the planet is minimum.

If $v_\text{ap}$ and $v_\text{per}$ are the speeds of planet at aphelion and perihelion respectively, then find $\dfrac{v_\text{ap}}{v_\text{per}}$.

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