Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Numerical Solution of Euler's Rotation Equations for a Rigid Body about a Fixed Point

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. Preprints 2020, 2020080310 (doi: 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 (doi: 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.

Subject Areas

Euler's equation; rigid body; rotation; Maple

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