- Polar Plots
- Parameters that affect orbit shape
In the Mathematica Worksheet Conics.nb or the online Geogebra visualization at GMM: Graphs in Polar Coordinates or GCF: Graphs in Polar Coordinates, you will examine a three parameter family of curves described by the polar equation \[r(\phi)=\frac{\alpha}{1+\epsilon\cos(\phi+\delta)}.\] Describe in detail how the shape of the plot depends on the parameters \(\alpha\), \(\delta\), and \(\epsilon\). Pay particular attention to different values of \(\epsilon\).