The tennis racket effect in a three-dimensional rigid body - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physica D: Nonlinear Phenomena Année : 2017

## The tennis racket effect in a three-dimensional rigid body

Léo van Damme
• Fonction : Auteur
Pavao Mardešić
• Fonction : Auteur
• PersonId : 1015660
Dominique Sugny
• Fonction : Auteur correspondant
• PersonId : 874619

Connectez-vous pour contacter l'auteur

#### Résumé

We propose a complete theoretical description of the tennis racket effect, which occurs in the free rotation of a three-dimensional rigid body. This effect is characterized by a flip ($\pi$-rotation) of the head of the racket when a full (2$\pi$) rotation around the unstable inertia axis is considered. We describe the asymptotics of the phenomenon and conclude about the robustness of this effect with respect to the values of the moments of inertia and the initial conditions of the dynamics. This shows the generality of this geometric property which can be found in a variety of rigid bodies. A simple analytical formula is derived to estimate the twisting effect in the general case. Different examples are discussed.

### Dates et versions

hal-01447250 , version 1 (26-01-2017)

### Identifiants

• HAL Id : hal-01447250 , version 1
• ARXIV :
• DOI :

### Citer

Léo van Damme, Pavao Mardešić, Dominique Sugny. The tennis racket effect in a three-dimensional rigid body. Physica D: Nonlinear Phenomena, 2017, 338, pp.17 - 25. ⟨10.1016/j.physd.2016.07.010⟩. ⟨hal-01447250⟩

### Exporter

BibTeX TEI Dublin Core DC Terms EndNote Datacite

### Collections

230 Consultations
0 Téléchargements