Modified Gibbs's representation of rotation matrix
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909071566700544 |
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| author | Kruglov, S. I. Barzda, V. |
| author_facet | Kruglov, S. I. Barzda, V. |
| contents | A modified Gibbs's rotation matrix is derived and the connection with the Euler angles, quaternions, and Cayley$-$Klein parameters is established. As particular cases, the Rodrigues and Gibbs parameterizations of the rotation are obtained. The composition law of two rotations from the quaternion representation is presented showing a convenient expression for calculating the successive rotations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1703_00300 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Modified Gibbs's representation of rotation matrix Kruglov, S. I. Barzda, V. General Physics A modified Gibbs's rotation matrix is derived and the connection with the Euler angles, quaternions, and Cayley$-$Klein parameters is established. As particular cases, the Rodrigues and Gibbs parameterizations of the rotation are obtained. The composition law of two rotations from the quaternion representation is presented showing a convenient expression for calculating the successive rotations. |
| title | Modified Gibbs's representation of rotation matrix |
| topic | General Physics |
| url | https://arxiv.org/abs/1703.00300 |