Mathematica Module for Singularity Free Computations of Euler Parameters

Prof.Mohammed Adel Sharaf; Z.A. Mominkhan

doi:10.24297/jam.v5i1.3667

Mathematica Module for Singularity Free Computations of Euler Parameters

Authors

Prof.Mohammed Adel Sharaf King Abdulaziz Uni, Faculaty of Science , KSA
Z.A. Mominkhan College of Science for Girls King Abdulaziz University, Jeddah, Saudi Arabia

DOI:

https://doi.org/10.24297/jam.v5i1.3667

Keywords:

Euler parameters, rigid body dynamics, quaternions

Abstract

In this paper,a Mathematica module for singularityfree computations of Euler parameters was established .The basic idea that we follow in developing these computationsis to make the values of the denominators of the fractions used to compute the parameters always maximum, so by this artifice we avoid the divisions by small quantities that causes singularities.

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Author Biographies

Prof.Mohammed Adel Sharaf, King Abdulaziz Uni, Faculaty of Science , KSA

Department of Astronomy, Faculty of Science

Z.A. Mominkhan, College of Science for Girls King Abdulaziz University, Jeddah, Saudi Arabia

Department of Mathematics

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Published

2013-12-14

How to Cite

Sharaf, P. A., & Mominkhan, Z. (2013). Mathematica Module for Singularity Free Computations of Euler Parameters. JOURNAL OF ADVANCES IN MATHEMATICS, 5(1), 562–569. https://doi.org/10.24297/jam.v5i1.3667