The Serret-Andoyer Riemannian metric and Euler-Poinsot rigid body motion
Résumé
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.
Domaines
Génie chimique| Origine | Fichiers produits par l'(les) auteur(s) |
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