# Sometimes it's near, sometimes it's far

Geometry Level 3

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 $$r_\text{ap}$$ and $$r_\text{per}$$ are the distances between the planet and the star at aphelion and perihelion respectively, then find $$\dfrac{r_\text{ap}}{r_\text{per}}$$.

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