The Two Rigid Body Interaction using Angular Momentum Theory Formulae

Abstract : This work presents an elegant formalism to model the evolution of the full two rigid body problem. The equations of motion, given in a Cartesian coordinate system, are expressed in terms of spherical harmonics and Wigner D-matrices. The algorithm benefits from the numerous recurrence relations satisfied by these functions allowing a fast evaluation of the mutual potential. Moreover, forces and torques are straightforwardly obtained by application of ladder operators taken from the angular momentum theory and commonly used in quantum mechanics. A numerical implementation of this algorithm is made. Tests show that the present code is significantly faster than those currently available in literature.
Type de document :
Article dans une revue
Celestial Mechanics and Dynamical Astronomy, Springer Verlag, 2016, 128 (2-3), pp.261-273. 〈10.1007/s10569-017-9751-2〉
Liste complète des métadonnées

Littérature citée [13 références]  Voir  Masquer  Télécharger

https://hal.sorbonne-universite.fr/hal-01465812
Contributeur : Gestionnaire Hal-Upmc <>
Soumis le : mardi 14 novembre 2017 - 16:14:25
Dernière modification le : mercredi 19 septembre 2018 - 01:36:58
Document(s) archivé(s) le : jeudi 15 février 2018 - 15:19:42

Fichier

2body-v3.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

OBSPM | INSU | UPMC | IMCCE | PSL

Citation

Gwenaël Boué. The Two Rigid Body Interaction using Angular Momentum Theory Formulae. Celestial Mechanics and Dynamical Astronomy, Springer Verlag, 2016, 128 (2-3), pp.261-273. 〈10.1007/s10569-017-9751-2〉. 〈hal-01465812〉

Partager

Métriques

Consultations de la notice

239

Téléchargements de fichiers

40