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Algorithm 903

Published:2010-04 Issue:2 Volume:37 Page:1-24
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Celledoni Elena¹,Zanna Antonella²

Affiliation:

1. Norwegian University of Science and Technology, Trondheim, Norway

2. University of Bergen, Bergen, Norway

Abstract

We present two algorithms and their corresponding Fortran routines for the exact computation of free rigid body motions. The methods use the same description of the angular momentum part m by Jacobi elliptic functions, and suitably chosen frames for the attitude matrix/quaternion Q / q , respectively. The frame transformation requires the computation of elliptic integrals of the third kind. Implementation and usage of the routines are described, and some examples of drivers are included. Accuracy and performance are also tested to provide reliable numerical results.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/1731022.1731033

Reference31 articles.

1. The conjugate locus for the Euler top I. The axisymmetric case

2. A Changing-Chart Symplectic Algorithm for Rigid Bodies and Other Hamiltonian Systems on Manifolds

3. Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods

4. Numerical calculation of elliptic integrals and elliptic functions

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