Serret-Frenet equations in
Given a plane curve, we may associate to each point on the curve an orthonormal basis consisting of the unit normal tangent vector and the unit normal. In general, different points will have different bases associated to them, so we may ask how the basis depends upon the choice of point. The Serret-Frenet equations answer this question by relating the rte of change of the basis vectors to the curvature of the curve.
where is the rotational matrix that rotates the plane degrees counterclockwise.
By the definition of curvature
since . These are the Serret-Frenet equations
|Title||Serret-Frenet equations in|
|Date of creation||2013-03-22 15:16:57|
|Last modified on||2013-03-22 15:16:57|
|Last modified by||rspuzio (6075)|