Proceedings of the 2017 2nd International Conference on Automatic Control and Information Engineering (ICACIE 2017)

Derivation of Rotational Transformation Matrices via Rotational Invariant

Authors
Xiao-Ping Qin, Peng Li, Gang Su, Ling-Mei Cong
Corresponding Author
Xiao-Ping Qin
Available Online August 2017.
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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Volume Title
Proceedings of the 2017 2nd International Conference on Automatic Control and Information Engineering (ICACIE 2017)
Series
Advances in Engineering Research
Publication Date
August 2017
ISBN
978-94-6252-398-2
ISSN
2352-5401
DOI
10.2991/icacie-17.2017.8How to use a DOI?
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/).

Cite this article

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  -