On Determining the Equation of a Salkowski Curve Satisfying tau/kappa=1/s

Authors

  • Yun Myung Oh Andrews University
  • Devin Garcia-Roblero Andrews University

DOI:

https://doi.org/10.46787/pump.v6i0.2633

Keywords:

Salkowski curve; Fundamental Theorem of Curves; Frenet-Serret equations

Abstract

In this paper, we determine the equation of a Salkowski curve whose ratio of torsion to curvature is given by 1/s, where s is the arc length of the curve. The Frenet-Serret equations provide the third-order vector differential equation for the unit tangent vector T(s) and the general (series) solution was obtained. In the end, the series solution is entirely determined by the given initial conditions.

Author Biography

Yun Myung Oh, Andrews University

I am a professor in the Department of Mathematics at Andrews University and have been working here since 2006. Devin Garcia-Roblero was a freshman when we worked on this project. He was very enthusiastic about doing the research and did a wonderful job. 

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Published

2023-11-28

How to Cite

Oh, Y. M., & Garcia-Roblero, D. . (2023). On Determining the Equation of a Salkowski Curve Satisfying tau/kappa=1/s. The PUMP Journal of Undergraduate Research, 6, 346–353. https://doi.org/10.46787/pump.v6i0.2633

Issue

Vol. 6 (2023): PUMP Journal of Undergraduate Research

Section

Articles

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