The two rigid body interaction using angular momentum theory formulae |
| |
Authors: | Gwenaël Boué |
| |
Institution: | 1.IMCCE, Observatoire de Paris,UPMC Univ. Paris 6, PSL Research University,Paris,France |
| |
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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|