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The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion

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, vol. 3 (n° 3). pp. 287-302. ISSN 2156-8472

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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 - INPT (FRANCE)
Other partners > Université de Bourgogne - UB (FRANCE)
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS (FRANCE)
Laboratory name:
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Deposited By: Vincent GERBAUD
Deposited On:25 Nov 2013 13:50

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