A Novel Solution to the Frenet-Serret Equations

Details A Novel Solution to the Frenet-Serret Equations A Novel Solution to the Frenet-Serret Equations

2007-09-18

arxiv.org/abs/0709.2855v1

Mathematics

Differential Geometry

Scientific paper

A set of equations is developed to describe a curve in space given the curvature $\kappa$ and the angle of rotation $\theta$ of the osculating plane. The set of equations has a solution (in terms of $\kappa$ and $\theta$) that indirectly solves the Frenet-Serret equations, with a unique value of $\theta$ for each specified value of $\tau$. Explicit solutions can be generated for constant $\theta$. The equations break down when the tangent vector aligns to one of the unit coordinate vectors, requiring a reorientation of the local coordinate system.

Affiliated with

Also associated with

No associations

Rating

A Novel Solution to the Frenet-Serret Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Novel Solution to the Frenet-Serret Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Novel Solution to the Frenet-Serret Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457285