well the solid-body is more of a point with dimension (derived by cross sections), though a bounding box would be drawn to indicate the position, approximate size and orientation of the solid body. its not a physical model, just an approximation of some object's (or rather part of an object) aerodynamic properties. this would allow for flat objects such as wings at off angles if needed. this also provides a system for things like swing-wings or canards which rotate an entire static airfoil to generate control or some other function (trade off low drag for low speed lift in this case), rather than augmenting the cl to control lift. the point of the matrix is to be able to change frame of reference between the parent, and an angled airfoil. take the swing-wing concept into consideration, when you transform it into its delta configuration, the airflow is generated in its frame of reference and its cross section is computed with respect to airflow. presenting a larger cross section would increase drag, where presenting a smaller one will decrease it.