Bonnard, Bernard and Cots, Olivier
and Shcherbakova, Nataliya
The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion.
(2013)
Mathematical Control and Related Fields, 3 (3). 287-302. ISSN 2156-8472
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 7MB |
Official URL: http://dx.doi.org/10.3934/mcrf.2013.3.287
Abstract
The Euler-Poinsot rigid body motion is a standard mechanical system and is the model for left-invariant Riemannian metrics on SO(3). In this article, using the Serret-Andoyer variables we parameterize the solutions and compute the Jacobi fields in relation with the conjugate locus evaluation. Moreover the metric can be restricted to a 2D surface and the conjugate points of this metric are evaluated using recent work [4] on surfaces of revolution.
| Item Type: | Article |
|---|---|
| Additional Information: | Thanks to AIMS editor. The definitive version is available at http://www.aimsciences.org The original PDF can be found at http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=8961 |
| HAL Id: | hal-00908905 |
| Audience (journal): | International peer-reviewed journal |
| Uncontrolled Keywords: | |
| Institution: | French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) Other partners > Université de Bourgogne - UB (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) |
| Laboratory name: | |
| Statistics: | download |
| Deposited On: | 25 Nov 2013 13:50 |
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