A Novel Solution to the Frenet-Serret Equations

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dc.creatorRuffa, Anthony A.
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:30:31Z
dc.date.available2026-07-07T08:30:31Z
dc.descriptionA 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 equations break down when the tangent vector aligns to one of the unit coordinate vectors, requiring a reorientation of the local coordinate system.
dc.identifierhttps://arxiv.org/abs/0709.2855
dc.identifierhttp://arxiv.org/abs/0709.2855
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138258
dc.subjectDifferential Geometry
dc.titleA Novel Solution to the Frenet-Serret Equations
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