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TNB

 

TNB

TNB Coordinates are a coordinate system based on three orthonormal vectors: T, N, and B.

T is the unit tangent vector, a vector of length 1 tangent to the path of a particle.

N is the unit normal vector, a vector of length 1 at right angles to the path of a particle, pointing to the center of the curvature of the path of the particle.

B, the binormal vector, is the vector product of T and N.

This coordinate system of very useful in differential geometry and kinematics, for example, for describing the general motion of spacecraft.


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