Derivation of Rotational Transformation Matrices via Rotational Invariant

DOI

10.2991/icacie-17.2017.8How to use a DOI?

Keywords

Vector; Rotational Transformation; Scalar

Abstract

We derive the space rotational transformation matrices under two assumptions: the invariance of vector length and the allowance of infinitesimal rotation. The derivation is simple and concise by using trigonometric functions and the result is compared with previous studies. The method can be further generalized to derive the Lorentz transformation in spacetime.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiao-Ping Qin
AU  - Peng Li
AU  - Gang Su
AU  - Ling-Mei Cong
PY  - 2017/08
DA  - 2017/08
TI  - Derivation of Rotational Transformation Matrices via Rotational Invariant
BT  - Proceedings of the 2017 2nd International Conference on Automatic Control and Information Engineering (ICACIE 2017)
PB  - Atlantis Press
SP  - 37
EP  - 40
SN  - 2352-5401
UR  - https://doi.org/10.2991/icacie-17.2017.8
DO  - 10.2991/icacie-17.2017.8
ID  - Qin2017/08
ER  -