Cassini Oval is a curve that was developed by Giovanni Domenico Cassini in 1680. He had believed that the motion of the Earth and Sun followed a lobe of one of these ovals. This function plots Cassini Ovals with Polar Parametrization as described in :



http://online.redwoods.cc.ca.us/instruct/darnold/calcproj/sp07/ken/CalcPpr.pdf