• Title/Summary/Keyword: Frenet-Serret formula

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Geometric analysis of Missile applied in Frenet-Serret formula & Missile guidance applied in Fuzzy Control (Frenet-Sorret formula를 적용한 미사일의 기하학적 분석과 퍼지제어를 이용한 미사일유도)

  • Park, Sung-Chul;Hwang, Eun-Ju;Park, Mignon
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.632-634
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    • 2005
  • In this paper, The Frenet-Serret formula of classical geometric curve theory with the concept of a missile pointing velocity vector are used to analyze and design a missile guidance law. The capture capability of this guidance law is qualitatively studied by comparing the rotations of the velocity vectors of missile and target relative to the line of sight vector. when fuzzy Table look-up theory applied in target-missile distance & angle displacement, this research. It's performance is better then classical research.

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A WORK ON INEXTENSIBLE FLOWS OF SPACE CURVES WITH RESPECT TO A NEW ORTHOGONAL FRAME IN E3

  • Alperen Kizilay;Atakan Tugkan Yakut
    • Honam Mathematical Journal
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    • v.45 no.4
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    • pp.668-677
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    • 2023
  • In this study, we bring forth a new general formula for inextensible flows of Euclidean curves as regards modified orthogonal frame (MOF) in E3. For an inextensible curve flow, we provide the necessary and sufficient conditions, which are denoted by a partial differential equality containing the curvatures and torsion.