From the post "And Some More Auntie Gravy", we have
\(a<0\), \(|a|≥\cfrac{L}{\pi}\) and
\(|a|>b>0\)
for
\(r=a+bcos(\theta)\)
If we plot r=-5+2.5cos(x) on a polar plot we have,
The high curvature up top compared to the low flat line below suggest that this shape might lift. Ever seen a garden hose rise when turned on? Below shows the same curve with a circle superimposed.
Very nice machi shaped curve, indeed.