由矢量微分方程导出的部分零曲线的位置矢量

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Pub Date : 2009-11-22 DOI:10.5281/ZENODO.1059869

S. Yılmaz, E. Özyilmaz, M. Turgut, Şuur Nizamoğlu

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引用次数: 2

摘要

本文研究了部分零单位速度曲线在闵可夫斯基时空标准坐标系下的位置向量。首先，证明了每条部分零单位速度曲线的位置矢量满足一个四阶矢量微分方程。用微分方程的解表示了部分零单位速度曲线的位置矢量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Position Vector of a Partially Null Curve Derived from a Vector Differential Equation

In this paper, position vector of a partially null unit speed curve with respect to standard frame of Minkowski space-time is studied. First, it is proven that position vector of every partially null unit speed curve satisfies a vector differential equation of fourth order. In terms of solution of the differential equation, position vector of a partially null unit speed curve is expressed.

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来源期刊

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering

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