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Lawden's spiral
r = (r_s*(sin alpha)^6)/(1-3*(sin(alpha))^2)
theta = theta_0 - 4*alpha-3*cotan(alpha) -- cotan == cot
After reading Petropoulos' paper on different spirals, it seems tha Lawden may not be great as it's only applicable to small flight paths.
Several attempts to fix my implementation of Lawden's spiral have failed. I don't know why. As like for #10 , I don't need this for my thesis (yet), so I'll skip it for now.