Version 1
: Received: 13 August 2020 / Approved: 14 August 2020 / Online: 14 August 2020 (06:32:59 CEST)
How to cite:
Sun, B. Numerical Solution of Euler's Rotation Equations for a Rigid Body about a Fixed Point. Preprints2020, 2020080310. https://doi.org/10.20944/preprints202008.0310.v1
Sun, B. Numerical Solution of Euler's Rotation Equations for a Rigid Body about a Fixed Point. Preprints 2020, 2020080310. https://doi.org/10.20944/preprints202008.0310.v1
Sun, B. Numerical Solution of Euler's Rotation Equations for a Rigid Body about a Fixed Point. Preprints2020, 2020080310. https://doi.org/10.20944/preprints202008.0310.v1
APA Style
Sun, B. (2020). Numerical Solution of Euler's Rotation Equations for a Rigid Body about a Fixed Point. Preprints. https://doi.org/10.20944/preprints202008.0310.v1
Chicago/Turabian Style
Sun, B. 2020 "Numerical Solution of Euler's Rotation Equations for a Rigid Body about a Fixed Point" Preprints. https://doi.org/10.20944/preprints202008.0310.v1
Abstract
Finding a solution for Euler's equations is a classic mechanics problem. This study revisits the problem with numerical approaches. For ease of teaching and research, a Maple code comprising 2 lines is written to find a numerical solution for the problem. The study's results are validated by comparing these with previous studies. Our results confirm the correctness of the principle of maximum moment of inertia of the rotating body, which is verified by thermodynamics. As an essential part of this study, the Maple code is provided.
Keywords
Euler's equation; rigid body; rotation; Maple
Subject
Physical Sciences, Thermodynamics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
