It must be flying. Give point P and two segments x , y that right angle to each other at P . And set Lambert's quadrangle. Then move x or y with keeping area S constant, just like an ordinary rectangular hyperbola. Point p is the a point of intersection of asymptote and you get hyperbola like the rocket.
Green line is perpendicular to red line.
Supposing these lines are ordinary orthogonal axes, I set lines perpendicular to and at regular intervals on each axis. Now a parabola. It partially represents the actual object in case you imagine. We do not call it a model. They say all quadratic curves are closed when homogeneous coordinates or projective plane is applied.