Functions expressed in polar coordinates can be graphed. For the function $r(\phi)\text{,}$ for each value of $\phi\text{,}$ an angle measured counterclockwise from the $x$-axis, plot the distance $r(\phi)\text{,}$ measured outward from the origin.
Use the applet above to explore how the shape of a Keplerian orbit is influenced by the parameters $\alpha\text{,}$ $\epsilon\text{,}$ and $\delta\text{.}$