Lockheed Martin Darkstar & Frenet-Serret Frames

Drooling over the sleek aesthetic that Lockheed Martin's Darkstar provides, one cannot help but to think about Frenet-Serret Frames (i.e. TNB frames). Here, the utility of such an idea is to describe travel-orientation of a particle, blasting on a space curve. And to be specific, Lockheed Martin, for example, leverages the tool of Frenet-Serret frames to describe where the Darkstar is heading (unit-Tangent), turning (unit-Normal), and twisting (unit-Binormal), within a specific moment of time. Wherefore, these TNB frames are to describe a 3-tuple, in which each letter concerning the TNB acronym represents a unit-vector of the same dimension.

In as much, the unit-binormal is calculated by treating the "T" & "N" as vectors of the same dimension (i.e. the dimension of 1), whereupon the magnitude of "T" & "N" are both a value of 1, and taking the vector cross product of those two unit vectors. The reason as to why such vectors are called "unit vectors" is because the given vectors are simply used to describe direction; vectors have the capacity for retaining information of both magnitude & direction. And, although unit vectors do have a magnitude of 1, this scalar value in-and-of-itself is of no true significance; it is the information of direction that provides value.

Intuitively, one can visualize the vector cross product of "T" & "N." If "T" is where the Darkstar is heading, and the "N" is how the Darkstar is turning, it can be fair to say that it is possible to visualize the twisting action of the aircraft itself; the resultant-vector of a cross product of two other vectors behaves in a manner in which those two vectors intermingle as a singular body, hence the "twisting" action of "B."