A Novel Solution to the Frenet-Serret Equations

Abstract

A set of equations is developed to describe a curve in space given the curvature κ and the angle of rotation θ of the osculating plane. The set of equations has a solution (in terms of κ and θ) that indirectly solves the Frenet-Serret equations, with a unique value of θ for each specified value of τ . Explicit solutions can be generated for constant θ. The… (More)

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