Coordinate Transformations Galileia Space

Authors: Valery Timin

This paper deals with the orthonormal transformation of the coordinates of 3+1 - and 4-dimensional Galilean space. Such transformations are transformations of displacement, rotation, and transition to a moving coordinate system. Formulas and matrices of these transformations are given. The reasons for writing this work and the next few are two reasons. 1. The space in which classical mechanics is defined is the Galilean space, more precisely, its 3+1-dimensional interpretation. 2. Unlike the Galilean space, which has all the properties of the space in which tensors are defined, in classical mechanics not all parameters are tensors. In this regard, it is impossible to define classical mechanics in 4-dimensional form in 4-dimensional space in a simple way. В данной работе рассмотрены вопросы ортонормированного преобразования координат 3+1- и 4-мерного галилеева пространства. Такими преобразованиями являются преобразования смещения, поворота и перехода в движущуюся систему координат. Даны формулы и матрицы этих преобразований.

Comments: language: Russian, number of pages: 11,, Creative Commons Attribution 3.0 License

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[v1] 2019-07-23 14:46:52

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